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Mathematics Education Theses and Dissertations

Theses/dissertations from 2024 2024.

Rigorous Verification of Stability of Ideal Gas Layers , Damian Anderson

Documentation of Norm Negotiation in a Secondary Mathematics Classroom , Michelle R. Bagley

New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting

Theses/Dissertations from 2023 2023

Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales

Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff

Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley

Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson

Theses/Dissertations from 2022 2022

Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll

Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon

Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena

The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper

Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby

Structural Reasoning with Rational Expressions , Dana Steinhorst

Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong

Theses/Dissertations from 2021 2021

Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams

You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer

Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens

Theses/Dissertations from 2020 2020

Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway

Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen

Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe

Theses/Dissertations from 2019 2019

Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson

Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson

Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis

“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross

Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark

Theses/Dissertations from 2018 2018

Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason

How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job

Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau

Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky

Theses/Dissertations from 2017 2017

Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard

Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard

Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville

Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga

Theses/Dissertations from 2016 2016

The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis

Insight into Student Conceptions of Proof , Steven Daniel Lauzon

Theses/Dissertations from 2015 2015

Teacher Participation and Motivation inProfessional Development , Krystal A. Hill

Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet

English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill

Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich

Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts

Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson

Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke

Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise

Theses/Dissertations from 2014 2014

The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams

Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch

Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd

Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton

An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen

Theses/Dissertations from 2013 2013

Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo

Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau

Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc

Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele

Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk

Theses/Dissertations from 2012 2012

Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call

Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons

Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson

Mathematics Teacher Time Allocation , Ashley Martin Jones

Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell

Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce

A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams

Theses/Dissertations from 2010 2010

Growth in Students' Conceptions of Mathematical Induction , John David Gruver

Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart

Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon

Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams

Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick

The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling

Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak

Theses/Dissertations from 2008 2008

Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon

How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks

Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill

Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson

Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb

Theses/Dissertations from 2007 2007

Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff

What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff

Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow

One Problem, Two Contexts , Danielle L. Gigger

The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry

Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer

Theses/Dissertations from 2006 2006

How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras

Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz

The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze

Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb

Theses/Dissertations from 2005 2005

Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff

An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen

Theses/Dissertations from 2004 2004

Reasoning About Motion: A Case Study , Tiffini Lynn Glaze

Theses/Dissertations from 2003 2003

An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford

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Education Thesis Topics

This page provides a comprehensive list of education thesis topics , designed to inspire and assist students in selecting the most suitable topic for their thesis. Whether you are pursuing a degree in education or looking to specialize in a specific area within the field, finding the right topic can be pivotal to your academic success and career trajectory. From exploring contemporary challenges in adult education to investigating innovative practices in educational technology, this list encompasses a broad range of areas tailored to meet diverse research interests and academic needs. Each category has been thoughtfully compiled to provide a rich variety of topics that reflect current trends and future directions in education. This resource aims to be an invaluable tool for students, guiding them through the process of topic selection by providing a structured and extensive range of possibilities.

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• Curriculum And Instruction Thesis Topics

Distance Education Thesis Topics

Early childhood education thesis topics, education policy thesis topics, educational leadership thesis topics, educational management thesis topics, educational psychology thesis topics, educational technology thesis topics, elementary education thesis topics, health education thesis topics, higher education thesis topics, international education thesis topics, language education thesis topics, mathematics education thesis topics, multicultural education thesis topics, music education thesis topics, online education thesis topics.

• Philosophy Of Education Thesis Topics

Physical Education Thesis Topics

Science education thesis topics, special education thesis topics, vocational education thesis topics.

• The impact of lifelong learning on career advancement in adults over 40.
• Analyzing the effectiveness of online versus traditional classroom settings for adult learners.
• Barriers to education in mature students and strategies for overcoming them.
• The role of adult education in fostering community development.
• The influence of cultural background on adult education participation.
• Adult literacy: Assessing the outcomes of government versus private sector programs.
• The effectiveness of adult education programs in reducing societal inequality.
• Integrating technology into adult education: Challenges and opportunities.
• How adult education programs can adapt to the changing needs of the workforce.
• Motivational strategies for returning students in adult education programs.
• The impact of adult education on mental health and well-being.
• Exploring the effectiveness of distance learning tools for adult education.
• Policy analysis of adult education funding in developing countries.
• The role of NGOs in promoting adult education in rural areas.
• Comparative analysis of adult education systems across different countries.
• The future of adult education in the age of artificial intelligence and automation.
• Career transitions through adult education: Case studies of success stories.
• Evaluating the impact of community colleges in adult education in the U.S.
• Adult education and its role in promoting environmental sustainability.
• The challenges of providing adult education to differently-abled learners.
• The effects of the COVID-19 pandemic on adult education and future implications.
• Utilizing gamification in adult education to enhance learning engagement.
• Strategies for integrating soft skills training in adult education curriculum.
• The role of adult education in mitigating the digital divide.
• Gender differences in adult education participation and outcomes.
• Exploring the role of libraries in supporting adult education.
• Assessing the economic impact of adult education programs.
• Challenges in standardizing curricula across adult education programs globally.
• Adult education as a tool for reducing recidivism in former inmates.
• The impact of social media on adult education and community building.
• Trends in funding adult education: A comparative study of OECD countries.
• Adult education for the elderly: Benefits and methodologies.
• The role of adult education in fostering political awareness and participation.
• Peer teaching and its effectiveness in adult education settings.
• The psychology of adult learning: How adults learn differently than younger students.
• Ethical considerations in adult education: A contemporary view.
• Collaborative learning environments in adult education: A case study approach.
• The impact of language barriers on adult education and strategies to overcome them.
• Exploring adaptive learning technologies in adult education.
• The role of adult education in promoting health awareness and lifestyle changes.
• The integration of digital media in art education: Implications for teaching and creativity.
• The role of art education in promoting multicultural understanding and appreciation.
• Evaluating the impact of art education on cognitive development in children.
• The use of virtual reality (VR) technology in art education classrooms.
• Art education and social justice: Teaching art as a form of activism.
• The decline of traditional art forms in education: Causes and effects.
• Strategies for incorporating contemporary artists into the art education curriculum.
• The role of public art in education: Engaging communities through school projects.
• Art education funding: Analyzing trends and predicting future directions.
• The impact of art education on emotional intelligence and empathy development.
• Collaborative art projects and their role in enhancing teamwork skills.
• The challenges of teaching art in digital environments: Teacher perspectives.
• Art therapy as an educational tool: Benefits and limitations.
• Cross-disciplinary approaches to art education: Combining art with science and technology.
• The role of art critiques in the educational process: Fostering critical thinking and feedback.
• The influence of cultural identity on art production and education.
• Sustainable practices in art education: Using recycled materials in art projects.
• Art education in rural vs. urban settings: A comparative analysis.
• The future of art education in the age of automation and AI-generated art.
• Gender representation in art education materials and its impact on students.
• The role of art education in addressing environmental issues through creative expressions.
• Assessment methods in art education: Moving beyond traditional grading.
• The effects of globalization on art education curricula.
• Inclusive education in the arts: Best practices for accommodating all students.
• Using art as a medium for language learning in multicultural classrooms.
• The historical evolution of art education and its relevance today.
• Art education and entrepreneurship: Preparing students for careers in the arts.
• The role of museums and galleries in contemporary art education.
• Art education and technology: Exploring new possibilities for interactive learning.
• The impact of government policies on art education.
• Art education leadership: Key skills and competencies for educators.
• The psychological benefits of engaging in art education.
• Parental involvement in art education: Effects on student outcomes.
• The balance between technique and creative expression in art education.
• Strategies for promoting lifelong learning through art.
• Art education for special needs students: Techniques and case studies.
• Exploring the concept of beauty in art education: A philosophical inquiry.
• The role of criticism in art education: Constructive vs. destructive feedback.
• The impact of social media on student art projects and their public reception.
• Exploring non-Western art traditions in Western art education settings.
• A comparative analysis of STEM education in Asian vs. Western countries.
• The impact of globalization on education systems: A study of developing vs. developed nations.
• Comparative study of teacher training programs across different countries.
• The influence of cultural factors on educational attainment in Scandinavian countries.
• Examining gender disparities in education within Middle Eastern and European contexts.
• The role of language policies in education: Comparisons between multilingual and monolingual states.
• Evaluating the outcomes of decentralized vs. centralized education systems.
• The effect of political instability on education quality in Sub-Saharan Africa compared to South America.
• A comparative analysis of approaches to special education in the US and Japan.
• Digital divide: Access to educational technology in rural vs. urban schools globally.
• Comparative effectiveness of online education platforms across different continents.
• The impact of refugee crises on education systems in host vs. origin countries.
• Education for sustainable development: Comparing curricula from Nordic countries to North American models.
• The role of private education in social mobility: A comparative international study.
• Comparative assessment of academic freedom in Asian universities vs. European universities.
• Exploring the integration of indigenous knowledge in formal education systems.
• The effectiveness of early childhood education programs in North America vs. Europe.
• A comparative analysis of educational responses to the COVID-19 pandemic.
• The role of religious education in secular vs. non-secular societies.
• Assessing the impact of international educational exchanges on student outcomes.
• Comparative studies on the implementation of educational policies for immigrant children.
• The evolution of vocational training systems in Germany compared to the United States.
• Comparative study on the impact of school uniforms on student behavior and performance.
• The influence of international assessments (PISA, TIMSS) on national education policies.
• Examining the role of non-governmental organizations in education across different political systems.
• Education and nationalism: A comparative study of curriculum content in post-Soviet states.
• The effects of tuition fees on higher education access in the UK and Germany.
• Comparative analysis of adult literacy programs in Africa and Asia.
• Assessing the role of educational technology in bridging learning gaps in low-income vs. high-income countries.
• Comparative effectiveness of bilingual education models in North America and Europe.
• The impact of cultural heritage on curriculum development in former colonial vs. colonizer countries.
• Examining student resilience in conflict zones: A comparative study.
• The role of sports in education: A comparative analysis between the US and UK.
• Comparing the impact of parental involvement in education in Eastern vs. Western cultures.
• The effectiveness of anti-bullying programs in schools across different countries.
• Comparative analysis of nutrition and health education in schools in Mediterranean vs. North American countries.
• The role of arts education in fostering social cohesion: A comparative study.
• Assessing the success of integration policies for students with disabilities in mainstream schools internationally.
• The effects of class size on educational outcomes: A comparative study.
• Comparing career counseling practices in high schools across different countries.

Curriculum and Instruction Thesis Topics

• The role of project-based learning in enhancing critical thinking skills.
• Evaluating the effectiveness of hybrid learning models post-COVID-19.
• The impact of standardized testing on curriculum development.
• Integrating sustainability education into the school curriculum: Methods and outcomes.
• The effectiveness of STEM curricula in fostering female participation in science and technology.
• Exploring the use of artificial intelligence in personalized learning environments.
• The challenges of implementing competency-based education in traditional schools.
• The impact of teachers’ instructional styles on student engagement and learning.
• Developing and evaluating anti-racist curriculum in secondary education.
• The use of virtual reality (VR) in simulating historical events for educational purposes.
• Assessing the impact of mindfulness education on student well-being and academic performance.
• Curriculum strategies for enhancing emotional intelligence in elementary schools.
• The role of feedback in the learning process: Implementing effective models.
• Strategies for integrating digital literacy into primary education curricula.
• The effects of bilingual instruction on cognitive development.
• Evaluating the long-term impacts of early childhood education curricula.
• The integration of coding and computational thinking across all school levels.
• Developing curricula for life skills education: Successes and challenges.
• The influence of parent-teacher partnerships on curriculum effectiveness.
• Assessing the efficacy of flipped classroom models in secondary education.
• Strategies for teaching critical media literacy in high schools.
• The role of the arts in promoting cross-curricular learning.
• Evaluating the inclusivity of curricula for multicultural classrooms.
• The impact of outdoor educational experiences on environmental awareness.
• Addressing the needs of gifted students through differentiated curriculum strategies.
• The challenges and outcomes of teaching global citizenship in schools.
• Implementing trauma-informed practices in curriculum and instruction.
• The effectiveness of peer tutoring programs integrated into the curriculum.
• Strategies for addressing learning loss due to school disruptions.
• The role of curriculum in shaping students’ attitudes towards diversity and inclusion.
• Evaluating the impact of social-emotional learning programs in urban schools.
• The influence of technology on modifying traditional teaching methodologies.
• The challenges of aligning vocational training with industry needs in high schools.
• Exploring the impact of teacher professional development on curriculum delivery.
• The role of student voice in curriculum planning and implementation.
• Assessing the effectiveness of health and wellness programs in school curricula.
• The impact of historical narratives in textbooks on student perception of history.
• The challenges and benefits of co-teaching models in inclusive classrooms.
• Implementing continuous assessment strategies in primary education.
• The role of school leadership in fostering curriculum innovation.
• The effectiveness of synchronous vs. asynchronous learning methods in distance education.
• Impact of AI-driven personalization on student outcomes in online courses.
• Barriers to effective communication in virtual classrooms and strategies for improvement.
• Analyzing dropout rates in online higher education programs.
• The role of virtual reality (VR) in enhancing engagement in distance learning environments.
• Assessing the quality and accreditation challenges in global online education.
• The evolution of mobile learning technologies and their impact on distance education.
• Cybersecurity challenges in distance learning systems and mitigation strategies.
• The influence of cultural diversity on learning outcomes in international online classrooms.
• Strategies for fostering a sense of community and collaboration among distance learners.
• The effectiveness of online professional development courses for teachers.
• Legal and ethical considerations in the administration of distance learning programs.
• The role of blockchain technology in securing academic records in distance education.
• Impact of social media integration on student engagement and learning in distance education.
• The use of big data analytics to improve learner retention rates in online courses.
• Adaptive learning technologies: Tailoring distance education to individual learner needs.
• Distance education as a tool for lifelong learning: Trends and effectiveness.
• The future of distance education: Predicting technology trends and educational practices.
• Designing effective course materials for visually impaired students in online formats.
• The impact of distance learning on traditional higher education business models.
• Evaluating the effectiveness of online language learning versus traditional methods.
• The role of e-portfolios in assessing student performance in distance education.
• The challenges of providing science labs in an online education format.
• Distance learning in rural areas: Accessibility challenges and technological solutions.
• Parental involvement in the distance education of younger students: Methods and impacts.
• The effectiveness of gamification in online education for enhancing motivation.
• Best practices for designing inclusive online courses for students with disabilities.
• The future of corporate training: The shift towards online learning platforms.
• Comparing student satisfaction in distance education vs. traditional classroom settings.
• The role of mentorship in online education: Impact on student success.
• Analyzing the impact of online education on adult learners’ career advancements.
• Distance education and global inequality: Access issues and scalable solutions.
• The role of distance education in emergency preparedness for educational institutions.
• Student privacy and data protection in online educational platforms.
• The impact of augmented reality (AR) tools on distance education.
• Pedagogical strategies for effective teaching in hybrid classrooms.
• The effectiveness of peer-to-peer learning networks in online education settings.
• Online education for environmental sustainability: Courses and student engagement.
• The challenges of cross-cultural communication in global virtual classrooms.
• Assessing the impact of regulatory frameworks on the growth of distance education.
• The impact of play-based learning on cognitive development in early childhood.
• Assessing the effectiveness of Montessori methods in early childhood education.
• The role of parental involvement in the early educational development of children.
• Integrating technology into early childhood classrooms: Tools and impacts.
• The influence of early childhood education on later academic and social outcomes.
• Developing emotional intelligence through early childhood education programs.
• The effects of outdoor learning experiences on young children’s environmental awareness.
• Nutrition and its impact on cognitive development in early childhood education settings.
• The role of music and arts in early childhood cognitive and emotional development.
• Addressing learning disabilities in early childhood: Detection and intervention strategies.
• The impact of socio-economic factors on access to quality early childhood education.
• Gender roles in early childhood education: Shaping perspectives from a young age.
• The effectiveness of bilingual education in early childhood development.
• Assessing the impact of teacher-student ratios on learning outcomes in preschools.
• Strategies for promoting literacy from an early age.
• The role of cultural diversity in early childhood education curricula.
• Evaluating the security and safety standards in early childhood education centers.
• The influence of childhood trauma on early educational experiences.
• The impact of COVID-19 on early childhood education: Challenges and innovations.
• Implementing STEM education in early childhood: Approaches and outcomes.
• The role of storytelling in emotional and language development in early childhood.
• Strategies for integrating special needs children in mainstream early childhood classrooms.
• The impact of digital media on attention spans and learning in young children.
• Parental expectations and their impact on early childhood education strategies.
• The effects of sleep on learning and behavior in early childhood education settings.
• Teacher training and its effectiveness in enhancing early childhood education.
• Assessing the impact of early childhood education on family dynamics.
• The role of feedback in the learning processes of early childhood.
• Ethical considerations in early childhood education research.
• Strategies for effective conflict resolution in early childhood education settings.
• The role of play in the socialization process of children in early education.
• Innovative approaches to language acquisition in early childhood education.
• The impact of preschool programs on social inequality.
• Cultural sensitivity training for educators in diverse early childhood classrooms.
• The effectiveness of health education in early childhood programs.
• Addressing the challenges of transitioning from early childhood education to primary school.
• The influence of siblings and peer interactions in early educational settings.
• The impact of maternal education levels on early childhood learning outcomes.
• Evaluating the role of educational toys in early learning environments.
• The use of augmented reality (AR) in interactive learning for young children.
• The impact of national education policies on achievement gaps in urban and rural schools.
• Evaluating the effectiveness of affirmative action in higher education admissions.
• The role of government policy in shaping teacher retention rates.
• Policy interventions to address the digital divide in remote learning.
• The consequences of standardized testing policies on curriculum flexibility.
• Comparative analysis of education policies for special needs students across different states.
• The effectiveness of early intervention policies in education for at-risk youth.
• The influence of immigration policies on public education systems.
• Analyzing the impact of school choice policies on public school demographics and performance.
• Policy measures to improve STEM education outcomes among underrepresented groups.
• The role of policy in integrating mental health support in schools.
• Effects of education policies on bilingual education and student language development.
• The impact of zero-tolerance policies on student behavior and school safety.
• Evaluating the success of policies aimed at reducing childhood obesity through school programs.
• The implications of homeschooling policies during and post-pandemic.
• Policy analysis of teacher certification standards across countries.
• The role of state policies in promoting environmental education.
• Analysis of funding equity in public schools under different educational policies.
• The impact of privacy laws on digital learning tools and student data.
• Policy strategies for enhancing parental engagement in public schools.
• The effects of minimum wage policies on the availability of qualified childcare workers.
• Evaluating the efficacy of policies aimed at integrating arts into the educational curriculum.
• The influence of non-profit organizations in shaping education policy.
• Policies to address teacher shortages in critical subject areas.
• The impact of trade policies on vocational education and training programs.
• Analyzing the role of public policies in combating academic dishonesty.
• The effect of nutrition policies on learning outcomes in schools.
• The impact of refugee education policies on local education systems.
• Education policy reforms for enhancing adult education and lifelong learning.
• The implications of international education policies for student mobility and exchange programs.
• Evaluating the impact of fiscal policies on higher education affordability.
• The role of education policies in fostering entrepreneurship education.
• The impact of climate change policies on education systems worldwide.
• Policy measures for managing teacher stress and burnout.
• The effectiveness of anti-bullying policies in schools.
• The role of policy in shaping sports education and physical activity in schools.
• The influence of policies on the adaptation of new technologies in education.
• Evaluating the success of gender-inclusive policies in educational institutions.
• The role of public policy in shaping early childhood education standards.
• The effectiveness of policies aimed at enhancing cybersecurity education in schools.
• The role of leadership in fostering a culture of innovation in schools.
• The impact of transformational leadership on teacher motivation and student performance.
• Strategies for educational leaders to manage change during technology integration.
• Leadership styles and their effects on school climate and culture.
• The role of educational leaders in promoting equity and inclusion within schools.
• Evaluating the effectiveness of leadership training programs for aspiring principals.
• The impact of school leadership on implementing sustainable practices.
• Leadership challenges in urban vs. rural school settings.
• The role of school leaders in crisis management and emergency preparedness.
• Strategies for effective stakeholder engagement by educational leaders.
• The impact of educational leadership on special education program success.
• Leadership and its role in shaping professional development for teachers.
• The influence of school leaders on fostering parent-teacher collaborations.
• The role of ethical leadership in educational institutions.
• Comparative analysis of educational leadership models across different countries.
• The impact of leadership on the adoption of digital textbooks and learning resources.
• Leadership strategies for combating teacher burnout and turnover.
• The role of educational leaders in policy advocacy and reform.
• Strategies for building and maintaining high-performance teams in education.
• The impact of leadership on student mental health initiatives.
• The effectiveness of distributed leadership in educational settings.
• Leadership in higher education: Managing faculty and student diversity.
• The role of school administrators in implementing anti-bullying policies.
• Evaluating the leadership practices in charter schools vs. public schools.
• The influence of leadership on enhancing school safety protocols.
• The role of leaders in developing ICT competencies within schools.
• Educational leadership in times of budget cuts: Strategies for maintaining quality education.
• The role of principals in fostering community partnerships for school improvement.
• Leadership decision-making processes in curriculum design and implementation.
• The effectiveness of servant leadership in educational settings.
• The challenges of leadership succession in schools and its impact on organizational continuity.
• The role of leadership in promoting physical education and wellness programs.
• How educational leaders influence the integration of global issues into the curriculum.
• Leadership and management of virtual and hybrid learning environments.
• The role of leadership in fostering student-led initiatives and governance.
• Evaluating the impact of educational leadership on national education performance standards.
• The role of leadership in the accreditation and quality assurance of educational programs.
• Leadership strategies for enhancing faculty development and scholarship.
• The role of educational leaders in managing conflicts among staff and students.
• Strategies used by leaders to enhance the reputation and competitiveness of educational institutions.
• The role of data analytics in improving school management decisions.
• Strategies for managing resource allocation in schools with limited budgets.
• The impact of leadership styles in educational management on school effectiveness.
• Evaluating the effectiveness of performance management systems in educational institutions.
• The challenges of implementing sustainable practices in school management.
• The role of school managers in fostering innovation and creativity in education.
• Management of teacher professional development and its impact on school improvement.
• The effectiveness of conflict resolution strategies in educational management.
• School management practices for handling multicultural education environments.
• The role of management in shaping the integration of technology in schools.
• Evaluating the impact of school management on student retention rates.
• The influence of school management on enhancing parental involvement in education.
• Strategies for effective crisis management in educational settings.
• The impact of educational management on implementing inclusive education policies.
• School branding and marketing: Management strategies for enhancing public perception.
• The challenges and strategies of financial management in private vs. public schools.
• The role of educational managers in compliance with national education standards.
• Managing staff turnover in educational institutions: Strategies and outcomes.
• The impact of educational management on special needs education programs.
• The role of strategic planning in educational management for long-term success.
• The effectiveness of communication strategies in educational management.
• Change management in schools: Approaches and resistance factors.
• The role of educational managers in facilitating digital learning environments.
• The impact of demographic changes on school management strategies.
• Managing the integration of non-traditional students in higher education institutions.
• The role of management in enhancing community engagement with schools.
• Educational management practices for promoting mental health awareness in schools.
• The challenges of managing cross-cultural teams in international schools.
• The role of educational managers in fostering ethical behavior and integrity.
• Evaluating the governance structures of educational institutions and their effectiveness.
• The impact of educational management on improving teaching quality.
• Strategies for managing large-scale assessments and evaluations in educational settings.
• The role of educational managers in navigating the politics of education reform.
• Management practices for enhancing the security and safety of educational environments.
• The effectiveness of mentorship programs managed by educational institutions.
• The role of management in handling the adoption of new educational curricula.
• Strategies for managing the transition from traditional to online education.
• The impact of educational management on promoting physical education and sports.
• Managing diversity and inclusion initiatives in educational settings.
• The challenges and outcomes of succession planning in educational leadership.
• The effects of psychological safety in classrooms on student learning outcomes.
• The impact of teacher-student relationships on student academic performance and well-being.
• Cognitive strategies that enhance learning retention in students with learning disabilities.
• The role of motivation in student engagement and achievement.
• Psychological implications of remote learning on elementary school students.
• The effectiveness of mindfulness and meditation programs in promoting student mental health.
• The role of parental involvement on children’s educational outcomes from a psychological perspective.
• Strategies for developing resilience in students facing academic failures.
• The impact of socio-economic status on children’s cognitive development and learning.
• Psychological assessments in schools: Their impact and implications for student development.
• The influence of peer relationships on academic motivation and performance.
• The role of emotional intelligence in leadership and group dynamics in schools.
• The impact of bullying on student mental health and academic outcomes.
• Strategies for addressing test anxiety among high school and college students.
• The psychological effects of praise vs. criticism on student motivation.
• The role of psychological counseling in managing student behavioral issues.
• The impact of learning environments on student psychological well-being.
• Psychological factors influencing the adoption of technology in education.
• The effects of childhood trauma on learning and academic performance.
• Strategies for supporting students with ADHD in educational settings.
• The role of cognitive biases in student learning and decision-making.
• The psychological impacts of extracurricular activities on student development.
• Understanding and managing the emotional aspects of teacher-student interactions.
• The effects of group work on individual student performance and social skills.
• The role of psychology in developing effective educational video games.
• Evaluating the psychological benefits of art and music education.
• The impact of sleep patterns on student learning and memory.
• Psychological theories of learning and their practical applications in the classroom.
• The influence of family dynamics on student academic achievements.
• The role of student self-efficacy in educational achievement and career aspirations.
• The psychological effects of social media use on student attention and learning.
• Strategies for enhancing parental engagement from a psychological perspective.
• The role of teacher feedback in shaping student self-concept and academic identity.
• Psychological perspectives on the challenges of bilingual education.
• The impact of psychological support services on student retention rates in universities.
• The role of psychology in understanding and addressing gender disparities in STEM fields.
• Psychological strategies for integrating special needs students in mainstream classrooms.
• The impact of racial and ethnic identity on educational experiences and outcomes.
• Psychological approaches to understanding and preventing academic dishonesty.
• The role of school psychologists in crisis intervention and management within schools.
• The impact of artificial intelligence on personalized learning environments.
• Evaluating the effectiveness of virtual reality (VR) in STEM education.
• The role of educational apps in enhancing early literacy skills.
• Blockchain technology in education: Implications for security and record-keeping.
• The efficacy of adaptive learning systems in improving student performance.
• The use of big data analytics to predict student learning outcomes and dropout risks.
• Gamification in education: Comparing engagement and learning outcomes across disciplines.
• The challenges and benefits of implementing BYOD (Bring Your Own Device) policies in schools.
• The impact of social media tools on collaborative learning and student engagement.
• Augmented reality (AR) applications in education: A tool for enhancing experiential learning.
• The effectiveness of online peer tutoring platforms on student achievement.
• Digital equity in education: Access to technology and its impact on learning disparities.
• The role of technology in facilitating continuous professional development for teachers.
• Online assessment tools: Their validity, reliability, and impact on educational outcomes.
• The influence of podcasting and audio resources on learning in higher education.
• The effects of screen time on cognitive development and academic performance in children.
• The role of e-books and digital libraries in fostering reading habits among students.
• Implementing smart classroom technologies: Benefits, challenges, and long-term outcomes.
• Technology integration in special education: Tools and strategies for inclusive learning.
• The impact of virtual labs on science education in remote learning environments.
• Wearable technology in education: Potential uses and implications for student learning.
• Evaluating the effectiveness of MOOCs (Massive Open Online Courses) in lifelong learning.
• Internet of Things (IoT) in education: Applications and future prospects.
• Cybersecurity education: Developing critical skills through technology-based curricula.
• The role of video conferencing tools in promoting international collaboration among students.
• The impact of cloud computing on collaboration and data management in schools.
• Analyzing the role of technology in transforming teacher-student interactions.
• The effectiveness of digital storytelling tools in enhancing narrative writing skills.
• The impact of technology on reducing educational disparities in rural areas.
• Student data privacy and ethical considerations in educational technology deployments.
• Mobile learning: Trends, effectiveness, and pedagogical implications.
• The influence of technology on homework practices and student time management.
• The effectiveness of digital feedback systems in improving student learning.
• The role of simulation software in professional and technical education.
• Technology-facilitated project-based learning: Case studies and outcomes.
• The challenges of integrating cutting-edge technologies into traditional curricula.
• Evaluating the long-term impacts of technology-enhanced collaborative learning environments.
• Technology in classroom management: Tools for enhancing disciplinary measures and student behavior monitoring.
• The effectiveness of assistive technologies in supporting dyslexic students.
• Exploring the potential of mixed reality environments in education.
• Evaluating the effectiveness of project-based learning in enhancing problem-solving skills in elementary students.
• Strategies for teaching advanced mathematical concepts to young learners through visual aids.
• Comparing phonics and whole language approaches to reading instruction in elementary education.
• The influence of multicultural curricula on fostering inclusivity and empathy among elementary students.
• The effects of parent-teacher partnerships on student academic achievement and social development.
• Implementing environmental sustainability education in elementary schools: methods and outcomes.
• Effective classroom management strategies for enhancing focus and discipline in young children.
• Assessing the role of regular physical activity in boosting academic performance and mental health in elementary-aged children.
• Integration of digital storytelling tools in elementary science education to enhance student engagement.
• Arts-based learning initiatives: Measuring their impact on creativity and academic success in the elementary classroom.
• Best practices for supporting ESL students in diverse elementary classrooms.
• The impact of reduced teacher-student ratios on personalized learning experiences in elementary schools.
• The role of modern school libraries in promoting digital literacy alongside traditional reading skills.
• Critical analysis of the reliance on standardized testing within elementary educational systems.
• Nutrition-focused school programs and their effects on concentration and academic performance in young students.
• Challenges and benefits of introducing STEM education in early grades.
• Utilizing children’s literature to teach ethics and social responsibility in elementary schools.
• Evaluating the efficacy of anti-bullying initiatives in elementary settings.
• Exploring the role of tablets and apps in developing early writing skills.
• Benefits of experiential outdoor education programs on environmental consciousness in elementary students.
• The educational benefits of structured play in developing cognitive and social skills in elementary pupils.
• Tailoring instruction to meet the needs of gifted students in mainstream elementary classrooms.
• Impact of comprehensive social-emotional learning programs on student behavior and academic outcomes.
• Designing effective strategies for elementary students with specific learning disabilities.
• Investigating the role of positive teacher feedback in shaping student self-perception and academic engagement.
• Analyzing parental pressure and its effects on academic stress in elementary-aged children.
• The role of interactive math games in enhancing numerical proficiency among elementary students.
• Assessing the effectiveness of peer tutoring in reading comprehension and literacy skills.
• The influence of school safety measures on creating a supportive learning environment for elementary learners.
• Cultural influences on teaching practices and curriculum design in diverse elementary classrooms.
• The impact of teacher training on instructional quality and student outcomes in early education.
• Evaluating the effectiveness of visual arts integration in elementary math and science curricula.
• The role of music education in improving cognitive development and academic performance in elementary students.
• Assessing the impact of technology-driven personalized learning environments on student engagement and learning outcomes.
• The effects of bilingual education programs on cognitive flexibility and language development in elementary students.
• Strategies for addressing behavioral issues in elementary classrooms through positive reinforcement.
• The role of community involvement in enhancing educational experiences in elementary schools.
• Investigating the effects of early intervention strategies for children at risk of educational failure.
• The benefits of a narrative approach to teaching history and social studies in elementary schools.
• Exploring the efficacy of mindfulness exercises in managing stress and enhancing focus among young students.
• The impact of school-based mental health programs on student well-being and academic performance.
• Evaluating the effectiveness of digital health education platforms in promoting adolescent health literacy.
• The role of health education in combating the rise of obesity among children and adolescents.
• Strategies for integrating mindfulness and stress reduction techniques into K-12 health curricula.
• Assessing the impact of nutrition education on dietary habits and health outcomes in primary schools.
• The effectiveness of anti-smoking campaigns targeted at young teens within school settings.
• The role of virtual reality (VR) simulations in enhancing health education on topics like CPR and first aid.
• Analyzing the influence of parental involvement in health education on children’s lifestyle choices.
• The effectiveness of peer education models for promoting sexual health among high school students.
• Challenges and opportunities in implementing mental health first aid training in schools.
• The impact of wearable fitness technology on physical education and student health outcomes.
• Evaluating community-based health education programs for their role in improving public health.
• The influence of social media on health behaviors in adolescents: Opportunities for educational interventions.
• Strategies for addressing health disparities through targeted school health education programs.
• The role of health education in prevention and management of adolescent drug abuse.
• Assessing the long-term impacts of health education on lifestyle diseases such as diabetes and hypertension.
• The effectiveness of school-based interventions for the management of asthma in children.
• The impact of culturally tailored health education programs on minority groups in schools.
• Evaluating the effectiveness of comprehensive reproductive health education in secondary schools.
• The role of schools in promoting environmental health education and awareness.
• The impact of health education interventions on preventing teenage pregnancies.
• Challenges in implementing health education curricula that accommodate students with disabilities.
• The role of gamification in enhancing engagement with health education content.
• Evaluating the impact of school gardens on health education and nutritional outcomes.
• The effectiveness of online health education tools in increasing student engagement and knowledge retention.
• The role of teacher training in the delivery of effective health education.
• Analyzing the policy landscape surrounding health education in schools across different states or countries.
• The impact of health education on reducing the stigma associated with mental health issues.
• The role of health education in fostering critical thinking about health news and media literacy.
• Evaluating the effectiveness of anti-bullying programs as a part of health education in schools.
• The influence of health education on changing attitudes towards vaccination among adolescents.
• The role of school health education in addressing the health needs of LGBTQ+ youth.
• Assessing the effectiveness of health education programs in rural vs. urban schools.
• The challenges of adapting health education programs to the digital age.
• The impact of experiential learning approaches in health education on student understanding and behaviors.
• The role of health educators in advocating for healthy school environments.
• Evaluating the effectiveness of interventions aimed at reducing sedentary behavior among students.
• The impact of nutrition and physical activity education on the academic performance of students.
• Strategies for promoting sun safety and skin cancer awareness in schools.
• The effectiveness of school-based dental health education programs in improving oral health behaviors.
• Evaluating the impact of online learning on student engagement in higher education.
• The effectiveness of competency-based education in university settings.
• Trends and challenges in managing diversity and inclusion on college campuses.
• The role of university leadership in fostering a culture of innovation.
• Assessing the financial sustainability of tuition-free college programs.
• The impact of international student enrollments on domestic education quality.
• Strategies for integrating mental health services into university student support systems.
• The effectiveness of academic advising in enhancing student retention and graduation rates.
• The role of technology in transforming traditional lecture-based learning in universities.
• The impact of COVID-19 on the globalization of higher education.
• Analyzing the shift towards STEM education in universities and its implications.
• The effectiveness of university partnerships with industry in preparing students for employment.
• Evaluating the impact of campus safety measures on student well-being.
• The role of social media in shaping university branding and student recruitment.
• Strategies for enhancing faculty development and teaching quality in higher education.
• The effectiveness of experiential learning programs in developing job-ready skills.
• Trends in higher education policy changes and their impact on institutional practices.
• The role of universities in promoting sustainable practices and environmental education.
• Assessing the impact of student loan policies on access to higher education.
• The influence of alumni networks on university development and student opportunities.
• The role of higher education in fostering entrepreneurial skills and mindsets.
• Challenges and strategies for delivering continuing education and professional development.
• The effectiveness of remedial programs in addressing college readiness gaps.
• Trends in higher education curriculum reform to meet evolving industry demands.
• The role of intercultural competencies in enhancing global readiness among graduates.
• Evaluating the effectiveness of hybrid learning models blending online and in-person instruction.
• The impact of artificial intelligence and automation on higher education curriculum and employment.
• Strategies for addressing gender disparities in academic leadership roles.
• The role of higher education in mitigating social inequality through accessible education.
• The effectiveness of wellness programs in improving student health and academic performance.
• The impact of microcredentialing and badge programs on professional development and lifelong learning.
• The challenges of maintaining academic integrity in an era of digital education.
• Evaluating the impact of student-centered learning environments on academic outcomes.
• The role of universities in fostering political and social engagement among students.
• Trends and challenges in the internationalization of higher education curricula.
• Assessing the effectiveness of peer mentoring programs in enhancing academic success.
• The role of higher education in promoting critical thinking and problem-solving skills.
• Evaluating the effectiveness of diversity training programs in universities.
• The impact of housing quality and availability on university student success.
• The role of accreditation standards in shaping educational quality in higher education institutions.
• Assessing the impact of global mobility on learning outcomes in international education.
• The effectiveness of international baccalaureate programs compared to national curricula.
• Trends in cross-cultural competency training for educators in international schools.
• The role of language barriers in shaping the international student experience.
• Strategies for integrating international students into domestic academic environments.
• The impact of political tensions on international educational collaborations.
• Evaluating the effectiveness of virtual exchange programs in fostering global understanding.
• The role of international education in promoting global citizenship and peace.
• Challenges and strategies in managing international higher education partnerships.
• Trends in student recruitment strategies by international universities.
• The impact of scholarship programs on promoting diversity in international education.
• The effectiveness of study abroad programs in enhancing intercultural communication skills.
• Assessing the financial sustainability of international branch campuses.
• The role of technology in facilitating international collaboration in education.
• Evaluating the impact of international education on career prospects and employability.
• The challenges of accrediting international educational programs across different countries.
• Trends in educational policy impacting international student visa regulations.
• The role of international education in mitigating cultural stereotypes.
• Strategies for enhancing the safety and security of international students abroad.
• The impact of international alumni networks on global engagement and development.
• Evaluating the role of international educational consultants in student success.
• The challenges of curriculum standardization across international educational systems.
• The impact of economic crises on international student mobility and enrollment.
• The effectiveness of international dual-degree programs in higher education.
• Trends in the use of English as a medium of instruction in non-English speaking countries.
• The role of international educational fairs in shaping global education trends.
• The impact of international education on local economies and cultural exchange.
• Strategies for supporting refugee and displaced students in international education systems.
• The challenges of ethical recruitment in international education.
• The effectiveness of multicultural teams in international school projects.
• Assessing the impact of cultural intelligence training on educators in international settings.
• Trends in governmental support for international education initiatives.
• The role of international education in fostering environmental awareness and action.
• Challenges in assessing the quality of international online education programs.
• The impact of global health crises on international education systems.
• Strategies for balancing nationalism and globalism in international education policies.
• The effectiveness of international peer mentorship programs.
• Trends in international education marketing and student engagement.
• The role of international education in promoting democratic values and social justice.
• Evaluating the impact of international educational exchanges on diplomatic relations.
• The impact of immersive technologies on second language acquisition.
• Strategies for integrating content and language integrated learning (CLIL) in multilingual classrooms.
• The role of motivation in second language learning success.
• Assessing the effectiveness of online language learning platforms versus traditional classroom settings.
• The impact of cultural immersion programs on language proficiency and cultural competence.
• Trends in bilingual education and its effects on cognitive development.
• The role of language in identity formation among multilingual students.
• Evaluating the effectiveness of early childhood language immersion programs.
• The impact of mother tongue-based multilingual education on learning outcomes.
• Strategies for overcoming language barriers in increasingly diverse educational settings.
• The effectiveness of language learning apps and tools: A comparative study.
• The role of teacher training in enhancing language teaching methodologies.
• The impact of study abroad programs on language proficiency and intercultural sensitivity.
• Trends in the assessment methods of second language proficiency.
• The influence of peer interaction in language learning environments.
• The role of artificial intelligence in personalized language learning experiences.
• Challenges and strategies for teaching less commonly taught languages.
• The effectiveness of heritage language programs in preserving linguistic diversity.
• The impact of globalization on language education policies and practices.
• Strategies for promoting linguistic diversity and inclusion in language education.
• The role of language in fostering global citizenship and international relations.
• Evaluating the impact of multiliteracy approaches in language education.
• The challenges of teaching language through online synchronous and asynchronous methods.
• The effectiveness of drama and role-play in enhancing language learning.
• The impact of social media on language learning and usage among students.
• Strategies for addressing language attrition among immigrant populations.
• The role of linguistic landscapes in language learning and cultural exposure.
• Assessing the socio-economic impacts of language education in multilingual societies.
• The influence of family language policies on bilingual education outcomes.
• Trends in language education funding and resource allocation.
• The effectiveness of language cafés and informal language learning environments.
• Challenges in standardizing language proficiency levels across educational systems.
• The role of languages in interdisciplinary education programs.
• The impact of language anxiety on learning outcomes and strategies for mitigation.
• Evaluating the effectiveness of language portfolios as a tool for language learning.
• The role of corrective feedback in second language acquisition.
• The impact of accent reduction programs on communication skills and social integration.
• Strategies for integrating language education with vocational training.
• The influence of linguistic relativity on second language learning processes.
• Evaluating the long-term retention of language skills post-education.
• Evaluating the impact of problem-based learning on mathematical problem-solving skills.
• The effectiveness of visual aids in enhancing understanding of complex mathematical concepts.
• Strategies for integrating technology in mathematics education to improve student engagement.
• The role of mathematical games and puzzles in primary education curriculum.
• Assessing the impact of flipped classrooms on student performance in high school mathematics.
• Trends in adaptive learning technologies for personalized mathematics instruction.
• The influence of teacher attitudes and beliefs on teaching methods in mathematics.
• The effectiveness of collaborative learning environments in mathematics education.
• The role of parental involvement in children’s mathematical development.
• Evaluating the impact of early intervention programs on mathematics achievement in at-risk students.
• Strategies for addressing math anxiety among middle school students.
• The effectiveness of hands-on activities versus traditional lectures in teaching mathematics.
• Assessing gender differences in mathematical achievement and attitudes.
• The role of formative assessment in enhancing learning outcomes in mathematics.
• The impact of professional development programs on mathematics teaching practices.
• Strategies for teaching mathematical concepts to students with learning disabilities.
• The influence of socio-economic factors on mathematics education outcomes.
• The effectiveness of inquiry-based mathematics education compared to traditional approaches.
• Trends in international comparisons of student achievement in mathematics.
• The role of language in understanding and solving mathematical problems.
• Evaluating the use of mathematical modeling in secondary education.
• The impact of STEM-focused schools on mathematics proficiency.
• Strategies for effective integration of statistics and probability in K-12 curricula.
• The role of cultural context in mathematics education and curriculum design.
• Assessing the long-term impacts of early childhood mathematics education.
• The effectiveness of online versus face-to-face tutoring in mathematics.
• Trends in teacher certification and its impact on mathematics education quality.
• The role of feedback in student learning and engagement in mathematics classes.
• Evaluating the effectiveness of peer teaching methods in mathematics.
• The impact of curriculum innovations on teaching and learning mathematics.
• Strategies for integrating ethical reasoning in mathematics education.
• The effectiveness of interdisciplinary approaches to teaching mathematics.
• The role of critical thinking skills in mathematics education.
• Assessing the effectiveness of remedial mathematics programs in higher education.
• Trends in the use of digital portfolios for assessing mathematics learning.
• The impact of international educational exchanges on mathematics teaching methods.
• Strategies for motivating underrepresented groups to pursue mathematics education.
• The influence of new curricular standards on mathematics education reform.
• Evaluating the role of competitions and awards in fostering interest in mathematics.
• The impact of augmented reality (AR) tools on spatial reasoning in geometry education.
• Evaluating the impact of multicultural curricula on racial and ethnic tolerance in schools.
• Strategies for integrating global perspectives into K-12 education systems.
• The effectiveness of teacher training programs in multicultural education competencies.
• Assessing the role of cultural exchange programs in promoting intercultural understanding among students.
• The influence of bilingual education on cultural identity and student achievement.
• Trends in multicultural education policies and their impact on educational equity.
• The role of community involvement in shaping multicultural education practices.
• Evaluating the effectiveness of anti-racism education in reducing bias and discrimination in schools.
• Strategies for addressing cultural conflicts in increasingly diverse classrooms.
• The impact of immigrant histories on curriculum design and teaching strategies.
• The effectiveness of cultural competency frameworks in teacher education.
• Assessing the role of indigenous knowledge systems in multicultural education.
• Trends in the representation of diverse cultures in school textbooks and media.
• The role of schools in fostering cultural preservation and appreciation among minority groups.
• Strategies for engaging parents from diverse backgrounds in the educational process.
• The impact of cultural diversity on classroom dynamics and learning outcomes.
• Evaluating the effectiveness of multicultural clubs and activities in promoting inclusivity.
• The role of intercultural communication training in teacher professional development.
• Assessing the challenges of teaching about sensitive cultural and historical issues.
• The effectiveness of international collaborations in enhancing multicultural understanding.
• Trends in multicultural counseling and guidance in educational settings.
• The role of arts education in promoting multicultural awareness and expression.
• Strategies for accommodating religious diversity in educational institutions.
• The impact of cultural festivals and events on community and school integration.
• Evaluating the role of language diversity in multicultural education settings.
• The effectiveness of storytelling and narrative in conveying multicultural values.
• Trends in educational technology for supporting multicultural education.
• The role of libraries in providing access to multicultural resources and fostering inclusivity.
• Assessing the impact of social justice education on student activism and awareness.
• Strategies for addressing socioeconomic disparities through multicultural education.
• The effectiveness of peer mentorship programs in enhancing multicultural understanding.
• The role of school leadership in promoting an inclusive school culture.
• Assessing the impact of educational policies on multicultural education practices.
• Strategies for using digital media to enhance multicultural learning experiences.
• The effectiveness of virtual reality (VR) simulations in teaching cultural empathy.
• Trends in government support for multicultural education initiatives.
• The role of language education in supporting multicultural communication skills.
• Assessing the impact of demographic changes on multicultural education needs.
• Strategies for integrating multicultural education into STEM fields.
• Evaluating the effectiveness of service learning projects in promoting multicultural competence.
• The impact of music education on cognitive development and academic performance in early childhood.
• Evaluating the effectiveness of digital tools and apps in teaching music theory and practice.
• The role of classical music training in enhancing memory and concentration in students.
• Trends in integrating world music into school curricula and its impact on cultural appreciation.
• The effectiveness of music therapy in special education settings for children with autism.
• Assessing the role of community music programs in fostering social cohesion and community engagement.
• The impact of school budget cuts on the quality and availability of music education programs.
• Strategies for teaching music in a multicultural classroom to enhance intercultural understanding.
• The role of music education in promoting emotional and mental health among adolescents.
• Evaluating the effectiveness of online music education vs. traditional face-to-face teaching methods.
• The influence of music competitions on student motivation and musical career aspirations.
• The impact of mentorship and role models in music education on student engagement and retention.
• Trends in music education policy changes and their impact on program sustainability.
• The effectiveness of adaptive music education tools for students with learning disabilities.
• The role of music in enhancing language acquisition and literacy skills.
• Assessing the impact of participatory music-making on teamwork and collaboration skills.
• The role of technology in transforming music composition and production education.
• Strategies for fostering creativity and innovation through music education.
• The impact of extracurricular music programs on student academic outcomes and school involvement.
• Evaluating the effectiveness of music education in reducing behavioral issues among at-risk youth.
• The role of music education in preserving cultural heritage and promoting cultural tourism.
• Trends in teacher training for music educators and its impact on teaching quality.
• The effectiveness of early musical training on lifelong musical engagement and appreciation.
• The impact of parental involvement in music education on children’s musical development.
• Assessing the role of music education in interdisciplinary learning environments.
• The effectiveness of music education in improving public speaking and presentation skills.
• The role of music education in enhancing spatial-temporal reasoning among students.
• Strategies for integrating music education into STEM fields to create STEAM curriculum.
• The impact of music festivals and live performances as educational tools in schools.
• Evaluating the sustainability of funding for music education programs in public schools.
• The role of peer teaching and learning in music education settings.
• Trends in the use of music technology in classroom settings and its educational outcomes.
• The effectiveness of music education in promoting positive youth development.
• Assessing the challenges of teaching diverse music genres in a standardized curriculum.
• The role of music education in enhancing multicultural understanding and global awareness.
• Strategies for overcoming challenges in access to music education in rural areas.
• The impact of competitive music environments on student psychology and learning outcomes.
• The effectiveness of community partnerships in enhancing music education opportunities.
• Trends in music copyright education for young musicians and educators.
• The role of music education in fostering entrepreneurial skills and career opportunities in the music industry.
• The effectiveness of online learning platforms in higher education: A comparative analysis.
• Strategies for enhancing student engagement in asynchronous online courses.
• The role of artificial intelligence in personalizing learning experiences in online education.
• Assessing the impact of digital divide on access to online education in underprivileged regions.
• Trends in the development and adoption of MOOCs (Massive Open Online Courses) across different disciplines.
• The effectiveness of online simulation tools in professional training and education.
• The role of online education in continuing professional development and lifelong learning.
• Strategies for combating academic dishonesty and plagiarism in online courses.
• The impact of virtual reality (VR) and augmented reality (AR) technologies on online education.
• Evaluating the pedagogical effectiveness of gamified elements in online learning environments.
• The influence of online peer collaboration on learning outcomes and student satisfaction.
• The role of online education in facilitating international education and global classrooms.
• Assessing the impact of online learning on traditional campus-based educational models.
• Trends in regulatory and accreditation challenges for online education programs.
• The effectiveness of online counseling and student support services in distance education.
• Strategies for integrating hybrid learning models in traditional educational institutions.
• The impact of mobile learning technologies on accessibility to education.
• The effectiveness of online teacher training programs in enhancing teaching quality.
• The role of community building in online education settings to enhance learning experiences.
• Evaluating the long-term career outcomes of graduates from online degree programs.
• The impact of social media on learning engagement in online educational settings.
• Strategies for ensuring equity and inclusion in online education environments.
• The role of open educational resources (OER) in reducing costs and improving access to education.
• Assessing the psychological effects of prolonged exposure to online learning environments.
• The effectiveness of online language learning programs in achieving fluency.
• Trends in the use of analytics and big data to improve student retention in online courses.
• The impact of online education on traditional faculty roles and teaching practices.
• The effectiveness of adaptive learning technologies in meeting diverse learner needs.
• Strategies for engaging parents in the online education of K-12 students.
• The role of online platforms in fostering interdisciplinary studies and research collaboration.
• Assessing the security and privacy concerns in online education platforms.
• The impact of cloud-based technologies on the scalability of online education.
• The role of certification and micro-credentialing in online education marketplaces.
• The effectiveness of virtual labs and experiments in science education online.
• Trends in the internationalization of online courses and degree programs.
• The impact of online education on reducing carbon footprints and promoting sustainability.
• Strategies for implementing effective feedback mechanisms in online learning.
• The effectiveness of multimedia and interactive content in online education.
• The role of online education in emergency preparedness and response training.
• Evaluating the future of online education in the post-pandemic era.

Philosophy of Education Thesis Topics

• Exploring the ethical dimensions of teacher-student relationships in modern educational settings.
• The role of pragmatism in shaping contemporary educational practices and policies.
• Critical theory and its implications for addressing social justice issues in education.
• The impact of constructivism on teaching methods and student learning outcomes.
• Analyzing the philosophy behind inclusive education and its implementation challenges.
• The influence of existentialism on student autonomy and personal development in education.
• The role of Confucian philosophy in shaping educational values and systems in East Asia.
• The impact of neoliberal policies on educational equity and access.
• Exploring the philosophical underpinnings of homeschooling and its growth in popularity.
• The role of education in democracy: Analyzing the contributions of John Dewey.
• The ethical implications of artificial intelligence and technology in education.
• The philosophy of lifelong learning and its relevance in the 21st century.
• Analyzing Paulo Freire’s pedagogy of the oppressed and its contemporary applications.
• The role of feminist theories in shaping gender education policies.
• The impact of postmodernism on curriculum design and educational objectives.
• Exploring the intersection of education and philosophy in the development of critical thinking skills.
• The role of virtue ethics in character education programs.
• The philosophical debates surrounding the commercialization of higher education.
• The influence of philosophical idealism on educational aspirations and outcomes.
• Nietzsche’s philosophy and its implications for educational motivation and excellence.
• The role of education in ethical and moral development according to Kantian philosophy.
• Analyzing the impact of Stoicism on resilience and stress management education.
• The role of Buddhist philosophy in promoting mindfulness and peace education.
• The philosophical foundations of experiential learning and its effectiveness.
• The implications of relativism for teaching multicultural and global education.
• The role of philosophy in defining the aims of scientific education.
• Analyzing the impact of libertarian educational theories on school choice and privatization.
• The ethics of care and its implications for educational practice and policy.
• The role of logical positivism in shaping approaches to scientific education.
• Analyzing the influence of Marxist philosophy on educational theory and classroom practice.
• The implications of phenomenology for understanding the educational experience.
• The role of educational philosophy in shaping environmental education.
• Exploring the philosophical basis for the integration of the arts in education.
• The role of philosophy in the debate over standardized testing and assessment.
• The implications of utilitarianism for educational policy and practice.
• Analyzing the philosophy of language and its implications for literacy education.
• The role of educational philosophy in teacher education and professional development.
• The impact of skepticism on promoting critical thinking and inquiry in education.
• The role of philosophy in shaping strategies for education during crises and emergencies.
• Analyzing the philosophical foundations of digital ethics in education.
• Assessing the impact of physical education on childhood obesity rates.
• The effectiveness of integrated technology in physical education: Wearables and fitness tracking.
• Strategies for promoting lifelong physical activity through school-based programs.
• The role of physical education in the psychological and social development of children.
• Evaluating gender differences in physical education participation and outcomes.
• The impact of school sports programs on academic performance and student behavior.
• Developing inclusive physical education curricula for students with disabilities.
• The role of physical education in addressing mental health issues among adolescents.
• Assessing the safety and risk management practices in school sports and physical education.
• The effectiveness of adventure-based learning programs in physical education.
• Trends in the professional development of physical education teachers.
• The impact of national standards on physical education curriculum development.
• Evaluating the role of competitive sports in physical education settings.
• The effectiveness of mindfulness and yoga programs integrated into physical education.
• The role of physical education in promoting healthy lifestyle choices among teenagers.
• Assessing the impact of extracurricular athletic programs on student engagement.
• The role of physical education in combating sedentary lifestyle trends among youth.
• Evaluating the efficacy of health and wellness education within physical education classes.
• The impact of community and parental involvement in physical education programs.
• Strategies for integrating cultural diversity into physical education programs.
• The effectiveness of physical education programs in rural vs. urban schools.
• Trends in adaptive sports programs within physical education for special needs students.
• The role of physical education in fostering team-building and leadership skills.
• Evaluating the impact of early childhood physical education on motor skill development.
• The role of physical education in the holistic development of students.
• Assessing the impact of budget cuts on physical education programs in public schools.
• The effectiveness of dance and movement programs as part of physical education.
• The role of physical education in reducing aggression and promoting peace among students.
• Strategies for enhancing student motivation and participation in physical education.
• The impact of outdoor education programs on environmental awareness and physical health.
• Evaluating the challenges and benefits of implementing cross-fit programs in high schools.
• The role of physical education in promoting gender equality and empowerment.
• Trends in physical education curricula focusing on non-traditional sports.
• The impact of coaching styles on student learning outcomes in physical education.
• Strategies for addressing the psychological barriers to physical activity among students.
• The role of physical education in promoting intercultural competence and understanding.
• Assessing the effectiveness of virtual and augmented reality tools in physical education.
• The impact of school policies on the provision and quality of physical education.
• Evaluating the long-term health impacts of physical education policies in schools.
• The role of physical education in preparing students for active and healthy aging.
• The effectiveness of inquiry-based learning approaches in enhancing student understanding of scientific concepts.
• Evaluating the impact of climate change education on students’ environmental behaviors and attitudes.
• The role of virtual reality (VR) simulations in teaching complex scientific phenomena.
• Strategies for integrating artificial intelligence (AI) into science curricula to foster problem-solving skills.
• Assessing the effectiveness of STEM (Science, Technology, Engineering, and Mathematics) integration in primary education.
• The impact of maker spaces and fab labs on innovation and creativity in science education.
• Trends in citizen science initiatives as tools for teaching and engaging students in scientific research.
• Evaluating gender disparities in science education and strategies to encourage female participation in STEM fields.
• The effectiveness of digital storytelling in teaching science to diverse student populations.
• The role of science education in promoting sustainability and understanding of ecological systems.
• Assessing the challenges and benefits of teaching controversial scientific topics (e.g., evolution, global warming) in schools.
• The impact of project-based learning on student engagement and retention in science subjects.
• Strategies for effective communication of scientific information in the age of misinformation.
• Evaluating the use of augmented reality (AR) tools for enhancing spatial reasoning in physics education.
• The role of science fairs and competitions in motivating students and fostering a love for science.
• The impact of remote and hybrid learning models on science education during and post-COVID-19.
• Assessing the professional development needs of science teachers in rapidly changing educational landscapes.
• The effectiveness of science education podcasts as a learning tool for high school students.
• Strategies for addressing the science achievement gap among underrepresented and low-income student groups.
• The role of outdoor education programs in teaching biological sciences and fostering environmental stewardship.
• Evaluating the effectiveness of interdisciplinary approaches to teaching science with technology and engineering.
• The impact of biotechnology education on student awareness and ethical perspectives towards genetic engineering.
• Trends in nanotechnology education and its integration into the science curriculum.
• The effectiveness of gamification in science education to enhance learning motivation and engagement.
• The role of mentoring programs in supporting underrepresented students in science fields.
• Assessing the impact of parental involvement on children’s science learning outcomes.
• The role of informal learning environments (museums, science centers) in supplementing formal science education.
• Evaluating the impact of international science collaborations in high school education.
• The challenges of adapting science curricula to include more local and indigenous knowledge systems.
• The effectiveness of flipped classrooms in fostering active learning in science education.
• Strategies for teaching complex scientific topics to students with learning disabilities.
• Assessing the role of peer instruction and collaborative learning in science education.
• The impact of science communication training for teachers on student outcomes.
• The role of artificial neural networks in modeling and simulation for science education.
• Trends in the use of machine learning to analyze educational data in science classrooms.
• Evaluating the impact of 3D printing technology on student understanding of molecular and cellular biology.
• The role of science education in fostering critical thinking and skepticism in an era of fake news.
• Strategies for enhancing science curriculum with real-world problem solving and innovation.
• The effectiveness of continuous assessment versus standardized tests in science education.
• The role of student-led research projects in promoting autonomous learning in science education.
• Evaluating the effectiveness of inclusive classrooms versus segregated settings for students with disabilities.
• The impact of assistive technologies on academic achievement for students with sensory impairments.
• Strategies for integrating social-emotional learning in special education curricula.
• Assessing the outcomes of early intervention programs for children with developmental delays.
• The role of parent-teacher collaboration in developing Individualized Education Programs (IEPs).
• Trends in teacher training for special education: Effectiveness and areas for improvement.
• The impact of Universal Design for Learning (UDL) on accessibility in education for special needs students.
• Strategies for addressing behavioral challenges in students with emotional and behavioral disorders.
• The effectiveness of speech therapy integrated within the school curriculum for students with speech impediments.
• Evaluating the transition programs for students with disabilities moving from secondary education to adulthood.
• The role of music therapy in enhancing communication and emotional expression in children with autism.
• Assessing the impact of legislative changes on the provision of special education services.
• The challenges and effectiveness of distance learning for students with special educational needs during the COVID-19 pandemic.
• Strategies for supporting students with learning disabilities in mainstream classrooms.
• The impact of peer tutoring on social skills development in children with special needs.
• Evaluating the use of augmented and virtual reality as educational tools for students with intellectual disabilities.
• The effectiveness of animal-assisted therapy in improving the well-being of students with special needs.
• Trends in funding for special education: Impacts and implications.
• The role of dietary interventions in managing symptoms of ADHD in school-aged children.
• Strategies for enhancing the motor skills of students with physical disabilities through adaptive physical education.
• The impact of bilingual education on students with learning disabilities.
• Evaluating the effectiveness of art therapy for students with emotional and psychological disorders.
• The challenges of assessing cognitive abilities in students with severe disabilities.
• The role of school counselors in supporting the mental health of special education students.
• Assessing the impact of sensory rooms on student behavior and learning outcomes.
• The effectiveness of professional development in autism spectrum disorders for general education teachers.
• Strategies for improving literacy skills among students with dyslexia.
• The impact of social stories and visual schedules in supporting students with autism in the classroom.
• Evaluating the long-term outcomes of students with disabilities who participate in life skills programs.
• The effectiveness of mindfulness and relaxation techniques in reducing anxiety in students with special needs.
• The role of technology in facilitating communication for non-verbal students.
• Strategies for involving students with disabilities in extracurricular activities.
• The impact of genetic counseling on parents of children with genetic disorders and its educational implications.
• Evaluating the role of educational psychologists in special education settings.
• The effectiveness of transition planning from school to employment for young adults with disabilities.
• The impact of community-based learning experiences on students with special needs.
• Strategies for addressing the shortage of qualified special education teachers.
• The role of early childhood intervention in preventing the escalation of special needs in later schooling.
• The impact of cultural and linguistic diversity on the delivery of special education services.
• Evaluating the effectiveness of behavior intervention plans for managing classroom behavior in students with emotional and behavioral disorders.
• The impact of vocational education on employment outcomes in the technology sector.
• Evaluating the effectiveness of apprenticeship programs in skilled trades.
• The role of vocational education in economic development within rural communities.
• Trends in vocational education policy changes and their impact on labor markets.
• The effectiveness of dual education systems combining vocational training and academic education.
• Assessing the role of industry partnerships in enhancing vocational training programs.
• The impact of digital transformation on vocational education and training (VET) curricula.
• Strategies for integrating soft skills training into vocational education programs.
• The role of vocational education in reducing youth unemployment rates.
• Evaluating gender disparities in access to vocational training and outcomes.
• The impact of vocational education on lifelong learning and career progression.
• Trends in vocational education for sustainable development and green jobs.
• The effectiveness of online and blended learning approaches in vocational education.
• The role of vocational education in supporting economic recovery post-COVID-19.
• Assessing the alignment of vocational training programs with current job market demands.
• The impact of vocational education on social inclusion and mobility.
• Strategies for improving the image and attractiveness of vocational education.
• The role of vocational education in supporting entrepreneurship and self-employment.
• Evaluating the effectiveness of vocational education in the hospitality and tourism industry.
• The impact of vocational training on the healthcare workforce and service delivery.
• Trends in vocational education for the creative arts and media sectors.
• The role of competency-based education in vocational training programs.
• The impact of international collaboration in vocational education on curriculum development.
• Evaluating the role of vocational education in the automotive industry’s shift to electric vehicles.
• Strategies for addressing the skills gap in manufacturing through vocational education.
• The role of vocational education in the digital economy and emerging sectors.
• Assessing the effectiveness of vocational education in culinary arts and food service management.
• The impact of vocational education on reducing recidivism through prison education programs.
• Trends in vocational education for the renewable energy sector.
• The effectiveness of vocational education in the retail and consumer services industry.
• The role of modular and flexible learning options in vocational education.
• Strategies for enhancing teacher training in vocational education settings.
• The impact of policy frameworks on the quality and delivery of vocational education.
• Evaluating the role of vocational education in enhancing workplace safety and occupational health.
• The effectiveness of vocational education in the agricultural sector.
• The role of vocational education in supporting older workers in workforce transitions.
• Assessing the impact of vocational education on community development and social welfare.
• Trends in vocational education for the entertainment and event management industry.
• The role of vocational education in fostering innovation and technology adoption.
• Evaluating the effectiveness of vocational education in the logistics and supply chain management industry.

We hope this extensive and carefully curated list of education thesis topics will serve as a springboard for your academic research. Each category has been designed to reflect the evolving landscape of educational inquiry, ensuring you can find a topic that not only interests you but also contributes to the field of education. As you peruse these options, consider how each topic might help you achieve your academic and professional goals. With this comprehensive resource, we aim to equip you with the tools to embark on a rewarding and insightful thesis writing journey.

The Range of Education Thesis Topics

Education is a dynamic field, constantly evolving in response to societal changes, technological advancements, and cultural shifts. The selection of a thesis topic in education is crucial, as it not only contributes to the academic development of students but also impacts the broader educational landscape. This in-depth article on education thesis topics explores the range of potential areas for scholarly research, highlighting the importance of choosing topics that are not only of personal interest but also of significant relevance to current issues, recent trends, and future directions in education. By delving into these dimensions, students can position their work to contribute meaningfully to ongoing conversations and innovations in the field. Whether you are examining traditional educational theories or exploring cutting-edge technologies, the goal remains the same: to enhance understanding and improve educational practices across diverse settings.

Current Issues in Education

The landscape of education is continually shaped by a variety of pressing issues that demand attention from educators, policymakers, and researchers. Education thesis topics that focus on these current issues are pivotal for students who aim to make meaningful contributions to the field. This section explores several significant challenges and areas of concern that are shaping educational discourse today.

• Educational Equity and Access: One of the critical areas within current education thesis topics is the persistent inequality in access to quality education. Disparities based on socioeconomic status, race, ethnicity, and geographical location significantly impact educational outcomes. Thesis topics in this area could explore strategies for improving access to high-quality education for underrepresented and disadvantaged groups, examining the effectiveness of policy interventions or the role of technology in bridging these gaps.
• Impact of Technology on Learning: The integration of technology in education has accelerated due to the global shift to online learning during the COVID-19 pandemic. Education thesis topics could investigate the long-term effects of remote learning on student academic performance and social skills, or explore the development of new pedagogical models that effectively integrate digital tools, addressing the digital divide and concerns over student data privacy and security.
• Mental Health in Educational Settings: Increasing awareness of mental health issues highlights the importance of supporting student well-being in educational environments. Education thesis topics can focus on evaluating the effectiveness of mental health programs in schools or exploring how educational settings can be designed to better support the mental health of both students and educators. This provides a fertile ground for thesis research aimed at developing effective support mechanisms.
• Curriculum Relevance and Reform: As the demands of the workforce evolve, there is a pressing need for curriculum reform to ensure that students are equipped with relevant skills for the future. Education thesis topics addressing these issues might involve examining the alignment of current curricula with the skills needed in today’s job market or evaluating the implementation and outcomes of curriculum innovations.
• Teacher Retention and Professional Development: Teacher turnover remains a significant issue in education, affecting the stability and quality of teaching. Education thesis topics in this area might include studies on the factors influencing teacher retention, the impact of teacher professional development on educational outcomes, or innovative strategies to enhance teacher engagement and satisfaction.

Addressing these education thesis topics through rigorous research not only contributes to academic growth but also plays a crucial role in shaping effective and responsive educational practices. Each of these areas offers a wealth of opportunities for developing thesis topics that can have a real-world impact, enhancing the educational experiences of learners and empowering educators across the globe.

Recent Trends in Education

Education is an ever-evolving field, with new methodologies, technologies, and philosophies continually reshaping the way knowledge is imparted and absorbed. Understanding these shifts is crucial for developing relevant education thesis topics. This section highlights some of the most significant recent trends in education that are influencing current research and teaching practices.

• Technology Integration: One of the prominent recent trends in education is the increased integration of technology in the classroom. Education thesis topics might explore how digital tools such as AI, VR, and cloud computing are transforming traditional teaching methodologies and student engagement. This trend has accelerated due to the necessity of remote learning during the COVID-19 pandemic, offering a rich area for investigation into its long-term effects on educational outcomes.
• Personalized Learning: Tailoring education to individual student needs and learning styles is becoming more feasible through data analytics and adaptive learning technologies. Recent trends in education suggest a move towards more personalized education, which is particularly relevant for thesis topics that investigate the effectiveness of these approaches in improving student learning and retention rates.
• Sustainability Education: As global awareness of environmental issues increases, so does the emphasis on sustainability within educational curricula. Recent trends in education highlight the integration of sustainability into all levels of education as a critical area of study. Education thesis topics could examine how sustainability is being taught in schools and its impact on student attitudes and behaviors towards the environment.
• Social and Emotional Learning (SEL): Another growing trend in the field of education is the focus on social and emotional learning. This trend emphasizes the importance of developing skills such as empathy, self-awareness, and emotional regulation. Education thesis topics could explore the integration of SEL into the curriculum, its effectiveness, and how it impacts academic and social outcomes.
• Inclusive Education: The push towards more inclusive educational practices that accommodate diverse learning needs, including those of students with disabilities, is a significant trend. Education thesis topics could focus on strategies for successful inclusion, the impact of inclusive policies on school culture, and student achievement.
• Lifelong Learning: The concept of lifelong learning has gained momentum, reflecting the continuous need for skill development in a rapidly changing world. Recent trends in education emphasize the importance of fostering lifelong learning habits, making it a compelling area for education thesis topics. These might investigate programs designed to encourage lifelong learning or evaluate methods for teaching skills that facilitate continuous personal and professional development.

Each of these recent trends in education provides a framework for valuable education thesis topics. By focusing on these areas, students can contribute to the dialogue on how best to adapt educational practices to meet the needs of today’s learners and tomorrow’s challenges.

Future Directions in Education

As we look towards the future, education continues to adapt to new challenges and opportunities. Identifying potential advancements and shifts within the field is crucial for students seeking to develop forward-thinking education thesis topics. This section explores several key areas that are likely to shape the future directions in education.

Integration of Emerging Technologies: One of the most anticipated future directions in education is the broader integration of emerging technologies such as blockchain, Internet of Things (IoT), and advanced artificial intelligence. Education thesis topics could explore how these technologies might revolutionize aspects of education management, security, personalized learning, and student assessment, offering new efficiencies and enhancing educational experiences.

• Global Education Systems: As globalization increases, there is a growing emphasis on global education frameworks that can provide consistent educational standards across borders. Future directions in education may involve the development of more unified global education policies and practices. Thesis topics might examine the impacts of these systems on local education traditions, student mobility, and international collaboration.
• Holistic Education Models: There is a shifting focus towards more holistic education models that emphasize not just academic skills but also physical health, mental well-being, and social responsibility. Future directions in education could see these models becoming more mainstream, with education thesis topics exploring the integration of holistic education practices in schools and their effects on student well-being and societal engagement.
• Decentralization of Education: The future might hold more decentralized education models, facilitated by technology, where learning is not confined to traditional classroom settings. Education thesis topics could investigate the potential of decentralized models to democratize access to education, personalize learning experiences, and reduce costs.
• Ethics and Education: As technology becomes more integrated into educational settings, ethical considerations regarding privacy, data security, and equality become increasingly important. Future directions in education will likely need to address these ethical challenges, providing rich areas for thesis research into best practices and regulatory frameworks.
• Lifelong and Lifewide Learning: The concept of lifelong learning is expected to expand into lifewide learning, where education spans multiple aspects of life and careers. Education thesis topics could focus on how educational institutions can support lifelong and lifewide learning paradigms, the impact on career development, and the implications for traditional educational pathways.
• Sustainability and Education: As environmental concerns continue to grow, future directions in education will increasingly need to integrate sustainability into all levels of education. Thesis topics might explore innovative ways to teach sustainability, the effectiveness of these educational programs, and their long-term impacts on environmental consciousness.

These future directions in education offer a broad array of possibilities for education thesis topics, each with the potential to significantly impact how education is delivered and experienced. By focusing on these emerging trends, students can position their research at the cutting edge of educational development, contributing valuable insights and solutions to the evolving challenges of the field.

In conclusion, the exploration of education thesis topics offers a window into the complex, ever-changing world of education. As this article has shown, engaging with current issues, embracing recent trends, and anticipating future directions are critical for students who wish to make impactful contributions through their research. From addressing the challenges of digital learning environments to enhancing strategies for inclusive education, the possibilities are vast and varied. By selecting a thesis topic that resonates with contemporary educational needs and future aspirations, students can contribute to the development of more effective, equitable, and innovative educational practices. Ultimately, the pursuit of these topics not only advances personal academic goals but also serves the larger purpose of enriching the educational experiences of learners around the globe.

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Research Topics & Ideas: Education

170+ Research Ideas To Fast-Track Your Dissertation, Thesis Or Research Project

I f you’re just starting out exploring education-related topics for your dissertation, thesis or research project, you’ve come to the right place. In this post, we’ll help kickstart your research topic ideation process by providing a hearty list of research topics and ideas , including examples from actual dissertations and theses..

PS – This is just the start…

We know it’s exciting to run through a list of research topics, but please keep in mind that this list is just a starting point . To develop a suitable education-related research topic, you’ll need to identify a clear and convincing research gap , and a viable plan of action to fill that gap.

If this sounds foreign to you, check out our free research topic webinar that explores how to find and refine a high-quality research topic, from scratch. Alternatively, if you’d like hands-on help, consider our 1-on-1 coaching service .

Overview: Education Research Topics

• How to find a research topic (video)
• List of 50+ education-related research topics/ideas
• List of 120+ level-specific research topics 
• Examples of actual dissertation topics in education
• Tips to fast-track your topic ideation (video)
• Where to get extra help

Education-Related Research Topics & Ideas

Below you’ll find a list of education-related research topics and idea kickstarters. These are fairly broad and flexible to various contexts, so keep in mind that you will need to refine them a little. Nevertheless, they should inspire some ideas for your project.

• The impact of school funding on student achievement
• The effects of social and emotional learning on student well-being
• The effects of parental involvement on student behaviour
• The impact of teacher training on student learning
• The impact of classroom design on student learning
• The impact of poverty on education
• The use of student data to inform instruction
• The role of parental involvement in education
• The effects of mindfulness practices in the classroom
• The use of technology in the classroom
• The role of critical thinking in education
• The use of formative and summative assessments in the classroom
• The use of differentiated instruction in the classroom
• The use of gamification in education
• The effects of teacher burnout on student learning
• The impact of school leadership on student achievement
• The effects of teacher diversity on student outcomes
• The role of teacher collaboration in improving student outcomes
• The implementation of blended and online learning
• The effects of teacher accountability on student achievement
• The effects of standardized testing on student learning
• The effects of classroom management on student behaviour
• The effects of school culture on student achievement
• The use of student-centred learning in the classroom
• The impact of teacher-student relationships on student outcomes
• The achievement gap in minority and low-income students
• The use of culturally responsive teaching in the classroom
• The impact of teacher professional development on student learning
• The use of project-based learning in the classroom
• The effects of teacher expectations on student achievement
• The use of adaptive learning technology in the classroom
• The impact of teacher turnover on student learning
• The effects of teacher recruitment and retention on student learning
• The impact of early childhood education on later academic success
• The impact of parental involvement on student engagement
• The use of positive reinforcement in education
• The impact of school climate on student engagement
• The role of STEM education in preparing students for the workforce
• The effects of school choice on student achievement
• The use of technology in the form of online tutoring

Level-Specific Research Topics

Looking for research topics for a specific level of education? We’ve got you covered. Below you can find research topic ideas for primary, secondary and tertiary-level education contexts. Click the relevant level to view the respective list.

Research Topics: Pick An Education Level

Primary education.

• Investigating the effects of peer tutoring on academic achievement in primary school
• Exploring the benefits of mindfulness practices in primary school classrooms
• Examining the effects of different teaching strategies on primary school students’ problem-solving skills
• The use of storytelling as a teaching strategy in primary school literacy instruction
• The role of cultural diversity in promoting tolerance and understanding in primary schools
• The impact of character education programs on moral development in primary school students
• Investigating the use of technology in enhancing primary school mathematics education
• The impact of inclusive curriculum on promoting equity and diversity in primary schools
• The impact of outdoor education programs on environmental awareness in primary school students
• The influence of school climate on student motivation and engagement in primary schools
• Investigating the effects of early literacy interventions on reading comprehension in primary school students
• The impact of parental involvement in school decision-making processes on student achievement in primary schools
• Exploring the benefits of inclusive education for students with special needs in primary schools
• Investigating the effects of teacher-student feedback on academic motivation in primary schools
• The role of technology in developing digital literacy skills in primary school students
• Effective strategies for fostering a growth mindset in primary school students
• Investigating the role of parental support in reducing academic stress in primary school children
• The role of arts education in fostering creativity and self-expression in primary school students
• Examining the effects of early childhood education programs on primary school readiness
• Examining the effects of homework on primary school students’ academic performance
• The role of formative assessment in improving learning outcomes in primary school classrooms
• The impact of teacher-student relationships on academic outcomes in primary school
• Investigating the effects of classroom environment on student behavior and learning outcomes in primary schools
• Investigating the role of creativity and imagination in primary school curriculum
• The impact of nutrition and healthy eating programs on academic performance in primary schools
• The impact of social-emotional learning programs on primary school students’ well-being and academic performance
• The role of parental involvement in academic achievement of primary school children
• Examining the effects of classroom management strategies on student behavior in primary school
• The role of school leadership in creating a positive school climate Exploring the benefits of bilingual education in primary schools
• The effectiveness of project-based learning in developing critical thinking skills in primary school students
• The role of inquiry-based learning in fostering curiosity and critical thinking in primary school students
• The effects of class size on student engagement and achievement in primary schools
• Investigating the effects of recess and physical activity breaks on attention and learning in primary school
• Exploring the benefits of outdoor play in developing gross motor skills in primary school children
• The effects of educational field trips on knowledge retention in primary school students
• Examining the effects of inclusive classroom practices on students’ attitudes towards diversity in primary schools
• The impact of parental involvement in homework on primary school students’ academic achievement
• Investigating the effectiveness of different assessment methods in primary school classrooms
• The influence of physical activity and exercise on cognitive development in primary school children
• Exploring the benefits of cooperative learning in promoting social skills in primary school students

Secondary Education

• Investigating the effects of school discipline policies on student behavior and academic success in secondary education
• The role of social media in enhancing communication and collaboration among secondary school students
• The impact of school leadership on teacher effectiveness and student outcomes in secondary schools
• Investigating the effects of technology integration on teaching and learning in secondary education
• Exploring the benefits of interdisciplinary instruction in promoting critical thinking skills in secondary schools
• The impact of arts education on creativity and self-expression in secondary school students
• The effectiveness of flipped classrooms in promoting student learning in secondary education
• The role of career guidance programs in preparing secondary school students for future employment
• Investigating the effects of student-centered learning approaches on student autonomy and academic success in secondary schools
• The impact of socio-economic factors on educational attainment in secondary education
• Investigating the impact of project-based learning on student engagement and academic achievement in secondary schools
• Investigating the effects of multicultural education on cultural understanding and tolerance in secondary schools
• The influence of standardized testing on teaching practices and student learning in secondary education
• Investigating the effects of classroom management strategies on student behavior and academic engagement in secondary education
• The influence of teacher professional development on instructional practices and student outcomes in secondary schools
• The role of extracurricular activities in promoting holistic development and well-roundedness in secondary school students
• Investigating the effects of blended learning models on student engagement and achievement in secondary education
• The role of physical education in promoting physical health and well-being among secondary school students
• Investigating the effects of gender on academic achievement and career aspirations in secondary education
• Exploring the benefits of multicultural literature in promoting cultural awareness and empathy among secondary school students
• The impact of school counseling services on student mental health and well-being in secondary schools
• Exploring the benefits of vocational education and training in preparing secondary school students for the workforce
• The role of digital literacy in preparing secondary school students for the digital age
• The influence of parental involvement on academic success and well-being of secondary school students
• The impact of social-emotional learning programs on secondary school students’ well-being and academic success
• The role of character education in fostering ethical and responsible behavior in secondary school students
• Examining the effects of digital citizenship education on responsible and ethical technology use among secondary school students
• The impact of parental involvement in school decision-making processes on student outcomes in secondary schools
• The role of educational technology in promoting personalized learning experiences in secondary schools
• The impact of inclusive education on the social and academic outcomes of students with disabilities in secondary schools
• The influence of parental support on academic motivation and achievement in secondary education
• The role of school climate in promoting positive behavior and well-being among secondary school students
• Examining the effects of peer mentoring programs on academic achievement and social-emotional development in secondary schools
• Examining the effects of teacher-student relationships on student motivation and achievement in secondary schools
• Exploring the benefits of service-learning programs in promoting civic engagement among secondary school students
• The impact of educational policies on educational equity and access in secondary education
• Examining the effects of homework on academic achievement and student well-being in secondary education
• Investigating the effects of different assessment methods on student performance in secondary schools
• Examining the effects of single-sex education on academic performance and gender stereotypes in secondary schools
• The role of mentoring programs in supporting the transition from secondary to post-secondary education

Tertiary Education

• The role of student support services in promoting academic success and well-being in higher education
• The impact of internationalization initiatives on students’ intercultural competence and global perspectives in tertiary education
• Investigating the effects of active learning classrooms and learning spaces on student engagement and learning outcomes in tertiary education
• Exploring the benefits of service-learning experiences in fostering civic engagement and social responsibility in higher education
• The influence of learning communities and collaborative learning environments on student academic and social integration in higher education
• Exploring the benefits of undergraduate research experiences in fostering critical thinking and scientific inquiry skills
• Investigating the effects of academic advising and mentoring on student retention and degree completion in higher education
• The role of student engagement and involvement in co-curricular activities on holistic student development in higher education
• The impact of multicultural education on fostering cultural competence and diversity appreciation in higher education
• The role of internships and work-integrated learning experiences in enhancing students’ employability and career outcomes
• Examining the effects of assessment and feedback practices on student learning and academic achievement in tertiary education
• The influence of faculty professional development on instructional practices and student outcomes in tertiary education
• The influence of faculty-student relationships on student success and well-being in tertiary education
• The impact of college transition programs on students’ academic and social adjustment to higher education
• The impact of online learning platforms on student learning outcomes in higher education
• The impact of financial aid and scholarships on access and persistence in higher education
• The influence of student leadership and involvement in extracurricular activities on personal development and campus engagement
• Exploring the benefits of competency-based education in developing job-specific skills in tertiary students
• Examining the effects of flipped classroom models on student learning and retention in higher education
• Exploring the benefits of online collaboration and virtual team projects in developing teamwork skills in tertiary students
• Investigating the effects of diversity and inclusion initiatives on campus climate and student experiences in tertiary education
• The influence of study abroad programs on intercultural competence and global perspectives of college students
• Investigating the effects of peer mentoring and tutoring programs on student retention and academic performance in tertiary education
• Investigating the effectiveness of active learning strategies in promoting student engagement and achievement in tertiary education
• Investigating the effects of blended learning models and hybrid courses on student learning and satisfaction in higher education
• The role of digital literacy and information literacy skills in supporting student success in the digital age
• Investigating the effects of experiential learning opportunities on career readiness and employability of college students
• The impact of e-portfolios on student reflection, self-assessment, and showcasing of learning in higher education
• The role of technology in enhancing collaborative learning experiences in tertiary classrooms
• The impact of research opportunities on undergraduate student engagement and pursuit of advanced degrees
• Examining the effects of competency-based assessment on measuring student learning and achievement in tertiary education
• Examining the effects of interdisciplinary programs and courses on critical thinking and problem-solving skills in college students
• The role of inclusive education and accessibility in promoting equitable learning experiences for diverse student populations
• The role of career counseling and guidance in supporting students’ career decision-making in tertiary education
• The influence of faculty diversity and representation on student success and inclusive learning environments in higher education

Education-Related Dissertations & Theses

While the ideas we’ve presented above are a decent starting point for finding a research topic in education, they are fairly generic and non-specific. So, it helps to look at actual dissertations and theses in the education space to see how this all comes together in practice.

Below, we’ve included a selection of education-related research projects to help refine your thinking. These are actual dissertations and theses, written as part of Master’s and PhD-level programs, so they can provide some useful insight as to what a research topic looks like in practice.

• From Rural to Urban: Education Conditions of Migrant Children in China (Wang, 2019)
• Energy Renovation While Learning English: A Guidebook for Elementary ESL Teachers (Yang, 2019)
• A Reanalyses of Intercorrelational Matrices of Visual and Verbal Learners’ Abilities, Cognitive Styles, and Learning Preferences (Fox, 2020)
• A study of the elementary math program utilized by a mid-Missouri school district (Barabas, 2020)
• Instructor formative assessment practices in virtual learning environments : a posthumanist sociomaterial perspective (Burcks, 2019)
• Higher education students services: a qualitative study of two mid-size universities’ direct exchange programs (Kinde, 2020)
• Exploring editorial leadership : a qualitative study of scholastic journalism advisers teaching leadership in Missouri secondary schools (Lewis, 2020)
• Selling the virtual university: a multimodal discourse analysis of marketing for online learning (Ludwig, 2020)
• Advocacy and accountability in school counselling: assessing the use of data as related to professional self-efficacy (Matthews, 2020)
• The use of an application screening assessment as a predictor of teaching retention at a midwestern, K-12, public school district (Scarbrough, 2020)
• Core values driving sustained elite performance cultures (Beiner, 2020)
• Educative features of upper elementary Eureka math curriculum (Dwiggins, 2020)
• How female principals nurture adult learning opportunities in successful high schools with challenging student demographics (Woodward, 2020)
• The disproportionality of Black Males in Special Education: A Case Study Analysis of Educator Perceptions in a Southeastern Urban High School (McCrae, 2021)

As you can see, these research topics are a lot more focused than the generic topic ideas we presented earlier. So, in order for you to develop a high-quality research topic, you’ll need to get specific and laser-focused on a specific context with specific variables of interest.  In the video below, we explore some other important things you’ll need to consider when crafting your research topic.

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If you’re still unsure about how to find a quality research topic within education, check out our Research Topic Kickstarter service, which is the perfect starting point for developing a unique, well-justified research topic.

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71 Comments

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Math/Stats Thesis and Colloquium Topics

Updated: April 2024

Math/Stats Thesis and Colloquium Topics 2024- 2025

The degree with honors in Mathematics or Statistics is awarded to the student who has demonstrated outstanding intellectual achievement in a program of study which extends beyond the requirements of the major. The principal considerations for recommending a student for the degree with honors will be: Mastery of core material and skills, breadth and, particularly, depth of knowledge beyond the core material, ability to pursue independent study of mathematics or statistics, originality in methods of investigation, and, where appropriate, creativity in research.

An honors program normally consists of two semesters (MATH/STAT 493 and 494) and a winter study (WSP 031) of independent research, culminating in a thesis and a presentation. Under certain circumstances, the honors work can consist of coordinated study involving a one semester (MATH/STAT 493 or 494) and a winter study (WSP 030) of independent research, culminating in a “minithesis” and a presentation. At least one semester should be in addition to the major requirements, and thesis courses do not count as 400-level senior seminars.

An honors program in actuarial studies requires significant achievement on four appropriate examinations of the Society of Actuaries.

Highest honors will be reserved for the rare student who has displayed exceptional ability, achievement or originality. Such a student usually will have written a thesis, or pursued actuarial honors and written a mini-thesis. An outstanding student who writes a mini-thesis, or pursues actuarial honors and writes a paper, might also be considered. In all cases, the award of honors and highest honors is the decision of the Department.

Here is a list of possible colloquium topics that different faculty are willing and eager to advise. You can talk to several faculty about any colloquium topic, the sooner the better, at least a month or two before your talk. For various reasons faculty may or may not be willing or able to advise your colloquium, which is another reason to start early.

RESEARCH INTERESTS OF MATHEMATICS AND STATISTICS FACULTY

Here is a list of faculty interests and possible thesis topics.  You may use this list to select a thesis topic or you can use the list below to get a general idea of the mathematical interests of our faculty.

Colin Adams (On Leave 2024 – 2025)

Research interests:   Topology and tiling theory.  I work in low-dimensional topology.  Specifically, I work in the two fields of knot theory and hyperbolic 3-manifold theory and develop the connections between the two. Knot theory is the study of knotted circles in 3-space, and it has applications to chemistry, biology and physics.  I am also interested in tiling theory and have been working with students in this area as well.

Hyperbolic 3-manifold theory utilizes hyperbolic geometry to understand 3-manifolds, which can be thought of as possible models of the spatial universe.

Possible thesis topics:

• Investigate various aspects of virtual knots, a generalization of knots.
• Consider hyperbolicity of virtual knots, building on previous SMALL work. For which virtual knots can you prove hyperbolicity?
• Investigate why certain virtual knots have the same hyperbolic volume.
• Consider the minimal Turaev volume of virtual knots, building on previous SMALL work.
• Investigate which knots have totally geodesic Seifert surfaces. In particular, figure out how to interpret this question for virtual knots.
• Investigate n-crossing number of knots. An n-crossing is a crossing with n strands of the knot passing through it. Every knot can be drawn in a picture with only n-crossings in it. The least number of n-crossings is called the n-crossing number. Determine the n-crossing number for various n and various families of knots.
• An übercrossing projection of a knot is a projection with just one n-crossing. The übercrossing number of a knot is the least n for which there is such an übercrossing projection. Determine the übercrossing number for various knots, and see how it relates to other traditional knot invariants.
• A petal projection of a knot is a projection with just one n-crossing such that none of the loops coming out of the crossing are nested. In other words, the projection looks like a daisy. The petal number of a knot is the least n for such a projection. Determine petal number for various knots, and see how it relates to other traditional knot invariants.
• In a recent paper, we extended petal number to virtual knots. Show that the virtual petal number of a classical knot is equal to the classical petal number of the knot (This is a GOOD question!)
• Similarly, show that the virtual n-crossing number of a classical knot is equal to the classical n-crossing number. (This is known for n = 2.)
• Find tilings of the branched sphere by regular polygons. This would extend work of previous research students. There are lots of interesting open problems about something as simple as tilings of the sphere.
• Other related topics.

Possible colloquium topics : Particularly interested in topology, knot theory, graph theory, tiling theory and geometry but will consider other topics.

Christina Athanasouli

Research Interests:   Differential equations, dynamical systems (both smooth and non-smooth), mathematical modeling with applications in biological and mechanical systems

My research focuses on analyzing mathematical models that describe various phenomena in Mathematical Neuroscience and Engineering. In particular, I work on understanding 1) the underlying mechanisms of human sleep (e.g. how sleep patterns change with development or due to perturbations), and 2) potential design or physical factors that may influence the dynamics in vibro-impact mechanical systems for the purpose of harvesting energy. Mathematically, I use various techniques from dynamical systems and incorporate both numerical and analytical tools in my work. 

Possible colloquium topics:   Topics in applied mathematics, such as:

• Mathematical modeling of sleep-wake regulation
• Mathematical modeling vibro-impact systems
• Bifurcations/dynamics of mathematical models in Mathematical Neuroscience and Engineering
• Bifurcations in piecewise-smooth dynamical systems

Julie Blackwood

Research Interests:   Mathematical modeling, theoretical ecology, population biology, differential equations, dynamical systems.

My research uses mathematical models to uncover the complex mechanisms generating ecological dynamics, and when applicable emphasis is placed on evaluating intervention programs. My research is in various ecological areas including ( I ) invasive species management by using mathematical and economic models to evaluate the costs and benefits of control strategies, and ( II ) disease ecology by evaluating competing mathematical models of the transmission dynamics for both human and wildlife diseases.

• Mathematical modeling of invasive species
• Mathematical modeling of vector-borne or directly transmitted diseases
• Developing mathematical models to manage vector-borne diseases through vector control
• Other relevant topics of interest in mathematical biology

Each topic (1-3) can focus on a case study of a particular invasive species or disease, and/or can investigate the effects of ecological properties (spatial structure, resource availability, contact structure, etc.) of the system.

Possible colloquium topics:   Any topics in applied mathematics, such as:

Research Interest :  Statistical methodology and applications.  One of my research topics is variable selection for high-dimensional data.  I am interested in traditional and modern approaches for selecting variables from a large candidate set in different settings and studying the corresponding theoretical properties. The settings include linear model, partial linear model, survival analysis, dynamic networks, etc.  Another part of my research studies the mediation model, which examines the underlying mechanism of how variables relate to each other.  My research also involves applying existing methods and developing new procedures to model the correlated observations and capture the time-varying effect.  I am also interested in applications of data mining and statistical learning methods, e.g., their applications in analyzing the rhetorical styles in English text data.

• Variable selection uses modern techniques such as penalization and screening methods for several different parametric and semi-parametric models.
• Extension of the classic mediation models to settings with correlated, longitudinal, or high-dimensional mediators. We could also explore ways to reduce the dimensionality and simplify the structure of mediators to have a stable model that is also easier to interpret.
• We shall analyze the English text dataset processed by the Docuscope environment with tools for corpus-based rhetorical analysis. The data have a hierarchical structure and contain rich information about the rhetorical styles used. We could apply statistical models and statistical learning algorithms to reduce dimensions and gain a more insightful understanding of the text.

Possible colloquium topics:  I am open to any problems in statistical methodology and applications, not limited to my research interests and the possible thesis topics above.

Richard De Veaux 

Research interests: Statistics.

My research interests are in both statistical methodology and in statistical applications.  For the first, I look at different methods and try to understand why some methods work well in particular settings, or more creatively, to try to come up with new methods.  For the second, I work in collaboration with an investigator (e.g. scientist, doctor, marketing analyst) on a particular statistical application.  I have been especially interested in problems dealing with large data sets and the associated modeling tools that work for these problems.

• Human Performance and Aging.I have been working on models for assessing the effect of age on performance in running and swimming events. There is still much work to do. So far I’ve looked at masters’ freestyle swimming and running data and a handicapped race in California, but there are world records for each age group and other events in running and swimming that I’ve not incorporated. There are also many other types of events.
• Variable Selection.  How do we choose variables when we have dozens, hundreds or even thousands of potential predictors? Various model selection strategies exist, but there is still a lot of work to be done to find out which ones work under what assumptions and conditions.
• Problems at the interface.In this era of Big Data, not all methods of classical statistics can be applied in practice. What methods scale up well, and what advances in computer science give insights into the statistical methods that are best suited to large data sets?
• Applying statistical methods to problems in science or social science.In collaboration with a scientist or social scientist, find a problem for which statistical analysis plays a key role.

Possible colloquium topics:

• Almost any topic in statistics that extends things you’ve learned in courses —  specifically topics in Experimental design, regression techniques or machine learning
• Model selection problems

Thomas Garrity (On Leave 2024 – 2025)

Research interest:   Number Theory and Dynamics.

My area of research is officially called “multi-dimensional continued fraction algorithms,” an area that touches many different branches of mathematics (which is one reason it is both interesting and rich).  In recent years, students writing theses with me have used serious tools from geometry, dynamics, ergodic theory, functional analysis, linear algebra, differentiability conditions, and combinatorics.  (No single person has used all of these tools.)  It is an area to see how mathematics is truly interrelated, forming one coherent whole.

While my original interest in this area stemmed from trying to find interesting methods for expressing real numbers as sequences of integers (the Hermite problem), over the years this has led to me interacting with many different mathematicians, and to me learning a whole lot of math.  My theses students have had much the same experiences, including the emotional rush of discovery and the occasional despair of frustration.  The whole experience of writing a thesis should be intense, and ultimately rewarding.   Also, since this area of math has so many facets and has so many entrance points, I have had thesis students from wildly different mathematical backgrounds do wonderful work; hence all welcome.

• Generalizations of continued fractions.
• Using algebraic geometry to study real submanifolds of complex spaces.

Possible colloquium topics:   Any interesting topic in mathematics.

Leo Goldmakher

Research interests:   Number theory and arithmetic combinatorics.

I’m interested in quantifying structure and randomness within naturally occurring sets or sequences, such as the prime numbers, or the sequence of coefficients of a continued fraction, or a subset of a vector space. Doing so typically involves using ideas from analysis, probability, algebra, and combinatorics.

Possible thesis topics:  

Anything in number theory or arithmetic combinatorics.

Possible colloquium topics:   I’m happy to advise a colloquium in any area of math.

Susan Loepp

Research interests: Commutative Algebra.  I study algebraic structures called commutative rings.  Specifically, I have been investigating the relationship between local rings and their completion.  One defines the completion of a ring by first defining a metric on the ring and then completing the ring with respect to that metric.  I am interested in what kinds of algebraic properties a ring and its completion share.  This relationship has proven to be intricate and quite surprising.  I am also interested in the theory of tight closure, and Homological Algebra.

Topics in Commutative Algebra including:

• Using completions to construct Noetherian rings with unusual prime ideal structures.
• What prime ideals of C[[ x 1 ,…, x n ]] can be maximal in the generic formal fiber of a ring? More generally, characterize what sets of prime ideals of a complete local ring can occur in the generic formal fiber.
• Characterize what sets of prime ideals of a complete local ring can occur in formal fibers of ideals with height n where n ≥1.
• Characterize which complete local rings are the completion of an excellent unique factorization domain.
• Explore the relationship between the formal fibers of R and S where S is a flat extension of R .
• Determine which complete local rings are the completion of a catenary integral domain.
• Determine which complete local rings are the completion of a catenary unique factorization domain.

Possible colloquium topics:   Any topics in mathematics and especially commutative algebra/ring theory.

Steven Miller

For more information and references, see http://www.williams.edu/Mathematics/sjmiller/public_html/index.htm

Research interests :  Analytic number theory, random matrix theory, probability and statistics, graph theory.

My main research interest is in the distribution of zeros of L-functions.  The most studied of these is the Riemann zeta function, Sum_{n=1 to oo} 1/n^s.  The importance of this function becomes apparent when we notice that it can also be written as Prod_{p prime} 1 / (1 – 1/p^s); this function relates properties of the primes to those of the integers (and we know where the integers are!).  It turns out that the properties of zeros of L-functions are extremely useful in attacking questions in number theory.  Interestingly, a terrific model for these zeros is given by random matrix theory: choose a large matrix at random and study its eigenvalues.  This model also does a terrific job describing behavior ranging from heavy nuclei like Uranium to bus routes in Mexico!  I’m studying several problems in random matrix theory, which also have applications to graph theory (building efficient networks).  I am also working on several problems in probability and statistics, especially (but not limited to) sabermetrics (applying mathematical statistics to baseball) and Benford’s law of digit bias (which is often connected to fascinating questions about equidistribution).  Many data sets have a preponderance of first digits equal to 1 (look at the first million Fibonacci numbers, and you’ll see a leading digit of 1 about 30% of the time).  In addition to being of theoretical interest, applications range from the IRS (which uses it to detect tax fraud) to computer science (building more efficient computers).  I’m exploring the subject with several colleagues in fields ranging from accounting to engineering to the social sciences.

Possible thesis topics: 

• Theoretical models for zeros of elliptic curve L-functions (in the number field and function field cases).
• Studying lower order term behavior in zeros of L-functions.
• Studying the distribution of eigenvalues of sets of random matrices.
• Exploring Benford’s law of digit bias (both its theory and applications, such as image, voter and tax fraud).
• Propagation of viruses in networks (a graph theory / dynamical systems problem). Sabermetrics.
• Additive number theory (questions on sum and difference sets).

Possible colloquium topics: 

Plus anything you find interesting.  I’m also interested in applications, and have worked on subjects ranging from accounting to computer science to geology to marketing….

Ralph Morrison

Research interests:   I work in algebraic geometry, tropical geometry, graph theory (especially chip-firing games on graphs), and discrete geometry, as well as computer implementations that study these topics. Algebraic geometry is the study of solution sets to polynomial equations.  Such a solution set is called a variety.  Tropical geometry is a “skeletonized” version of algebraic geometry. We can take a classical variety and “tropicalize” it, giving us a tropical variety, which is a piecewise-linear subset of Euclidean space.  Tropical geometry combines combinatorics, discrete geometry, and graph theory with classical algebraic geometry, and allows for developing theory and computations that tell us about the classical varieties.  One flavor of this area of math is to study chip-firing games on graphs, which are motivated by (and applied to) questions about algebraic curves.

Possible thesis topics : Anything related to tropical geometry, algebraic geometry, chip-firing games (or other graph theory topics), and discrete geometry.  Here are a few specific topics/questions:

• Study the geometry of tropical plane curves, perhaps motivated by results from algebraic geometry.  For instance:  given 5 (algebraic) conics, there are 3264 conics that are tangent to all 5 of them.  What if we look at tropical conics–is there still a fixed number of tropical conics tangent to all of them?  If so, what is that number?  How does this tropical count relate to the algebraic count?
• What can tropical plane curves “look like”?  There are a few ways to make this question precise.  One common way is to look at the “skeleton” of a tropical curve, a graph that lives inside of the curve and contains most of the interesting data.  Which graphs can appear, and what can the lengths of its edges be?  I’ve done lots of work with students on these sorts of questions, but there are many open questions!
• What can tropical surfaces in three-dimensional space look like?  What is the version of a skeleton here?  (For instance, a tropical surface of degree 4 contains a distinguished polyhedron with at most 63 facets. Which polyhedra are possible?)
• Study the geometry of tropical curves obtained by intersecting two tropical surfaces.  For instance, if we intersect a tropical plane with a tropical surface of degree 4, we obtain a tropical curve whose skeleton has three loops.  How can those loops be arranged?  Or we could intersect degree 2 and degree 3 tropical surfaces, to get a tropical curve with 4 loops; which skeletons are possible there?
• One way to study tropical geometry is to replace the usual rules of arithmetic (plus and times) with new rules (min and plus).  How do topics like linear algebra work in these fields?  (It turns out they’re related to optimization, scheduling, and job assignment problems.)
• Chip-firing games on graphs model questions from algebraic geometry.  One of the most important comes in the “gonality” of a graph, which is the smallest number of chips on a graph that could eliminate (via a series of “chip-firing moves”) an added debt of -1 anywhere on the graph.  There are lots of open questions for studying the gonality of graphs; this include general questions, like “What are good lower bounds on gonality?” and specific ones, like “What’s the gonality of the n-dimensional hypercube graph?”
• We can also study versions of gonality where we place -r chips instead of just -1; this gives us the r^th gonality of a graph.  Together, the first, second, third, etc. gonalities form the “gonality sequence” of a graph.  What sequences of integers can be the gonality sequence of some graph?  Is there a graph whose gonality sequence starts 3, 5, 8?
• There are many computational and algorithmic questions to ask about chip-firing games.  It’s known that computing the gonality of a general graph is NP-hard; what if we restrict to planar graphs?  Or graphs that are 3-regular? And can we implement relatively efficient ways of computing these numbers, at least for small graphs?
• What if we changed our rules for chip-firing games, for instance by working with chips modulo N?  How can we “win” a chip-firing game in that context, since there’s no more notion of debt?
• Study a “graph throttling” version of gonality.  For instance, instead of minimizing the number of chips we place on the graph, maybe we can also try to decrease the number of chip-firing moves we need to eliminate debt.
• Chip-firing games lead to interesting questions on other topics in graph theory.  For instance, there’s a conjectured upper bound of (|E|-|V|+4)/2 on the gonality of a graph; and any graph is known to have gonality at least its tree-width.  Can we prove the (weaker) result that (|E|-|V|+4)/2 is an upper bound on tree-width?  (Such a result would be of interest to graph theorists, even the idea behind it comes from algebraic geometry!)
• Topics coming from discrete geometry.  For example:  suppose you want to make “string art”, where you have one shape inside of another with string weaving between the inside and the outside shapes.  For which pairs of shapes is this possible?

Possible Colloquium topics:   I’m happy to advise a talk in any area of math, but would be especially excited about talks related to algebra, geometry, graph theory, or discrete mathematics.

Shaoyang Ning (On Leave 2024 – 2025)

Research Interest :  Statistical methodologies and applications. My research focuses on the study and design of statistical methods for integrative data analysis, in particular, to address the challenges of increasing complexity and connectivity arising from “Big Data”. I’m interested in innovating statistical methods that efficiently integrate multi-source, multi-resolution information to solve real-life problems. Instances include tracking localized influenza with Google search data and predicting cancer-targeting drugs with high-throughput genetic profiling data. Other interests include Bayesian methods, copula modeling, and nonparametric methods.

• Digital (disease) tracking: Using Internet search data to track and predict influenza activities at different resolutions (nation, region, state, city); Integrating other sources of digital data (e.g. Twitter, Facebook) and/or extending to track other epidemics and social/economic events, such as dengue, presidential approval rates, employment rates, and etc.
• Predicting cancer drugs with multi-source profiling data: Developing new methods to aggregate genetic profiling data of different sources (e.g., mutations, expression levels, CRISPR knockouts, drug experiments) in cancer cell lines to identify potential cancer-targeting drugs, their modes of actions and genetic targets.
• Social media text mining: Developing new methods to analyze and extract information from social media data (e.g. Reddit, Twitter). What are the challenges in analyzing the large-volume but short-length social media data? Can classic methods still apply? How should we innovate to address these difficulties?
• Copula modeling: How do we model and estimate associations between different variables when they are beyond multivariate Normal? What if the data are heavily dependent in the tails of their distributions (commonly observed in stock prices)? What if dependence between data are non-symmetric and complex? When the size of data is limited but the dimension is large, can we still recover their correlation structures? Copula model enables to “link” the marginals of a multivariate random variable to its joint distribution with great flexibility and can just be the key to the questions above.
• Other cross-disciplinary, data-driven projects: Applying/developing statistical methodology to answer an interesting scientific question in collaboration with a scientist or social scientist.

Possible colloquium topics:   Any topics in statistical methodology and application, including but not limited to: topics in applied statistics, Bayesian methods, computational biology, statistical learning, “Big Data” mining, and other cross-disciplinary projects.

Anna Neufeld

Research interests:  My research is motivated by the gap between classical statistical tools and practical data analysis. Classic statistical tools are designed for testing a single hypothesis about a single, pre-specified model. However, modern data analysis is an adaptive process that involves exploring the data, fitting several models, evaluating these models, and then testing a potentially large number of hypotheses about one or more selected models. With this in mind, I am interested in topics such as (1) methods for model validation and selection, (2) methods for testing data-driven hypotheses (post-selection inference), and (3) methods for testing a large number of hypotheses. I am also interested in any applied project where I can help a scientist rigorously answer an important question using data. 

• Cross-validation for unsupervised learning. Cross-validation is one of the most widely-used tools for model validation, but, in its typical form, it cannot be used for unsupervised learning problems. Numerous ad-hoc proposals exist for validating unsupervised learning models, but there is a need to compare and contrast these proposals and work towards a unified approach.
• Identifying the number of cell types in single-cell genomics datasets. This is an application of the topic above, since the cell types are typically estimated via unsupervised learning.
• There is growing interest in “post-prediction inference”, which is the task of doing valid statistical inference when some inputs to your statistical model are the outputs of other statistical models (i.e. predictions). Frameworks have recently been proposed for post-prediction inference in the setting where you have access to a gold-standard dataset where the true inputs, rather than the predicted inputs, have been observed. A thesis could explore the possibility of post-prediction inference in the absence of this gold-standard dataset.
• Any other topic of student interest related to selective inference, multiple testing, or post-prediction inference.
• Any collaborative project in which we work with a scientist to identify an interesting question in need of non-standard statistics.
• I am open to advising colloquia in almost any area of statistical methodology or applications, including but not limited to: multiple testing, post-selection inference, post-prediction inference, model selection, model validation, statistical machine learning, unsupervised learning, or genomics.

Allison Pacelli

Research interests:   Math Education, Math & Politics, and Algebraic Number Theory.

Math Education.  Math education is the study of the practice of teaching and learning mathematics, at all levels. For example, do high school calculus students learn best from lecture or inquiry-based learning? What mathematical content knowledge is critical for elementary school math teachers? Is a flipped classroom more effective than a traditional learning format? Many fascinating questions remain, at all levels of education. We can talk further to narrow down project ideas.

Math & Politics.  The mathematics of voting and the mathematics of fair division are two fascinating topics in the field of mathematics and politics. Research questions look at types of voting systems, and the properties that we would want a voting system to satisfy, as well as the idea of fairness when splitting up a single object, like cake, or a collection of objects, such as after a divorce or a death.

Algebraic Number Theory.  The Fundamental Theorem of Arithmetic states that the ring of integers is a unique factorization domain, that is, every integer can be uniquely factored into a product of primes. In other rings, there are analogues of prime numbers, but factorization into primes is not necessarily unique!

In order to determine whether factorization into primes is unique in the ring of integers of a number field or function field, it is useful to study the associated class group – the group of equivalence classes of ideals. The class group is trivial if and only if the ring is a unique factorization domain. Although the study of class groups dates back to Gauss and played a key role in the history of Fermat’s Last Theorem, many basic questions remain open.

  Possible thesis topics:

• Topics in math education, including projects at the elementary school level all the way through college level.
• Topics in voting and fair division.
• Investigating the divisibility of class numbers or the structure of the class group of quadratic fields and higher degree extensions.
• Exploring polynomial analogues of theorems from number theory concerning sums of powers, primes, divisibility, and arithmetic functions.

Possible colloquium topics:   Anything in number theory, algebra, or math & politics.

Anna Plantinga

Research interests:   I am interested in both applied and methodological statistics. My research primarily involves problems related to statistical analysis within genetics, genomics, and in particular the human microbiome (the set of bacteria that live in and on a person).  Current areas of interest include longitudinal data, distance-based analysis methods such as kernel machine regression, high-dimensional data, and structured data.

• Impacts of microbiome volatility. Sometimes the variability of a microbial community is more indicative of an unhealthy community than the actual bacteria present. We have developed an approach to quantifying microbiome variability (“volatility”). This project will use extensive simulations to explore the impact of between-group differences in volatility on a variety of standard tests for association between the microbiome and a health outcome.
• Accounting for excess zeros (sparse feature matrices). Often in a data matrix with many zeros, some of the zeros are “true” or “structural” zeros, whereas others are simply there because we have fewer observations for some subjects. How we account for these zeros affects analysis results. Which methods to account for excess zeros perform best for different analyses?
• Longitudinal methods for compositional data. When we have longitudinal data, we assume the same variables are measured at every time point. For high-dimensional compositions, this may not be the case. We would generally assume that the missing component was absent at any time points for which it was not measured. This project will explore alternatives to making that assumption.
• Applied statistics research. In collaboration with a scientist or social scientist, use appropriate statistical methodology (or variations on existing methods) to answer an interesting scientific question.

Any topics in statistical application, education, or methodology, including but not restricted to:

• Topics in applied statistics.
• Methods for microbiome data analysis.
• Statistical genetics.
• Electronic health records.
• Variable selection and statistical learning.
• Longitudinal methods.

Cesar Silva

Research interests :  Ergodic theory and measurable dynamics; in particular mixing properties and rank one examples, and infinite measure-preserving and nonsingular transformations and group actions.  Measurable dynamics of transformations defined on the p-adic field.  Measurable sensitivity.  Fractals.  Fractal Geometry.

Possible thesis topics:    Ergodic Theory.   Ergodic theory studies the probabilistic behavior of abstract dynamical systems.  Dynamical systems are systems that change with time, such as the motion of the planets or of a pendulum.  Abstract dynamical systems represent the state of a dynamical system by a point in a mathematical space (phase space).  In many cases this space is assumed to be the unit interval [0,1) with Lebesgue measure.  One usually assumes that time is measured at discrete intervals and so the law of motion of the system is represented by a single map (or transformation) of the phase space [0,1).  In this case one studies various dynamical behaviors of these maps, such as ergodicity, weak mixing, and mixing.  I am also interested in studying the measurable dynamics of systems defined on the p-adics numbers.  The prerequisite is a first course in real analysis.  Topological Dynamics.  Dynamics on compact or locally compact spaces.

Topics in mathematics and in particular:

• Any topic in measure theory.  See for example any of the first few chapters in “Measure and Category” by J. Oxtoby. Possible topics include the Banach-Tarski paradox, the Banach-Mazur game, Liouville numbers and s-Hausdorff measure zero.
• Topics in applied linear algebra and functional analysis.
• Fractal sets, fractal generation, image compression, and fractal dimension.
• Dynamics on the p-adic numbers.
• Banach-Tarski paradox, space filling curves.

Mihai Stoiciu

Research interests: Mathematical Physics and Functional Analysis. I am interested in the study of the spectral properties of various operators arising from mathematical physics – especially the Schrodinger operator. In particular, I am investigating the distribution of the eigenvalues for special classes of self-adjoint and unitary random matrices.

Topics in mathematical physics, functional analysis and probability including:

• Investigate the spectrum of the Schrodinger operator. Possible research topics: Find good estimates for the number of bound states; Analyze the asymptotic growth of the number of bound states of the discrete Schrodinger operator at large coupling constants.
• Study particular classes of orthogonal polynomials on the unit circle.
• Investigate numerically the statistical distribution of the eigenvalues for various classes of random CMV matrices.
• Study the general theory of point processes and its applications to problems in mathematical physics.

Possible colloquium topics:  

Any topics in mathematics, mathematical physics, functional analysis, or probability, such as:

• The Schrodinger operator.
• Orthogonal polynomials on the unit circle.
• Statistical distribution of the eigenvalues of random matrices.
• The general theory of point processes and its applications to problems in mathematical physics.

Elizabeth Upton

Research Interests: My research interests center around network science, with a focus on regression methods for network-indexed data. Networks are used to capture the relationships between elements within a system. Examples include social networks, transportation networks, and biological networks. I also enjoy tackling problems with pragmatic applications and am therefore interested in applied interdisciplinary research.

• Regression models for network data: how can we incorporate network structure (and dependence) in our regression framework when modeling a vertex-indexed response?
• Identify effects shaping network structure. For example, in social networks, the phrase “birds of a feather flock together” is often used to describe homophily. That is, those who have similar interests are more likely to become friends. How can we capture or test this effect, and others, in a regression framework when modeling edge-indexed responses?
• Extending models for multilayer networks. Current methodologies combine edges from multiple networks in some sort of weighted averaging scheme. Could a penalized multivariate approach yield a more informative model?
• Developing algorithms to make inference on large networks more efficient.
• Any topic in linear or generalized linear modeling (including mixed-effects regression models, zero-inflated regressions, etc.).
• Applied statistics research. In collaboration with a scientist or social scientist, use appropriate statistical methodology to answer an interesting scientific question.
• Any applied statistics research project/paper
• Topics in linear or generalized linear modeling
• Network visualizations and statistics

Critical Analysis of Mathematics Education Doctoral Dissertations in the Philippines: 2009–2021

• First Online: 18 May 2023

Cite this chapter

• Bill Atweh 6 ,
• Minie Rose C. Lapinid 7 ,
• Auxencia A. Limjap 8 ,
• Levi E. Elipane 9 ,
• Michel Basister 10 &
• Rosie L. Conde 9  

Part of the book series: Mathematics Education – An Asian Perspective ((MATHEDUCASPER))

195 Accesses

• The original version of this chapter was revised: The author name Michel Basister has been updated. The correction to this chapter is available at https://doi.org/10.1007/978-981-99-0643-7_9 .

This chapter presents a critical analysis of educational research as reflected in doctoral dissertations completed during the past decade in mathematics education in the Philippines. It analyzes the published dissertations with respect to the topics in the discipline they address, the targeted participants in terms of educational level and roles of stakeholders and theoretical frameworks used to construct the research. The analysis revealed a strong emphasis on research on teaching educational goals of mathematics, teacher development, and the use of technology in teaching. The less traversed areas were the research on social goals of education, the relationship of mathematics teaching and learning in other disciplines, the equity in terms of language and access to quality mathematics education due to poverty, elementary and kindergarten mathematics, assessment, technology used in informal settings, and research areas that are informed by critical and sociopolitical perspectives. The analysis calls for the need for better articulation of the role of the theory in a dissertation and a greater diversification of theoretical stances, in particular the critical and sociopolitical perspectives that remain underutilized.

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Atweh, B., Lapinid, M.R.C., Limjap, A.A., Elipane, L.E., Basister, M., Conde, R.L. (2023). Critical Analysis of Mathematics Education Doctoral Dissertations in the Philippines: 2009–2021. In: Atweh, B., Fan, L., Vistro-Yu, C.P. (eds) Asian Research in Mathematics Education. Mathematics Education – An Asian Perspective. Springer, Singapore. https://doi.org/10.1007/978-981-99-0643-7_4

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Mathematics and Statistics Theses and Dissertations

Theses/dissertations from 2024 2024.

The Effect of Fixed Time Delays on the Synchronization Phase Transition , Shaizat Bakhytzhan

On the Subelliptic and Subparabolic Infinity Laplacian in Grushin-Type Spaces , Zachary Forrest

Utilizing Machine Learning Techniques for Accurate Diagnosis of Breast Cancer and Comprehensive Statistical Analysis of Clinical Data , Myat Ei Ei Phyo

Quandle Rings, Idempotents and Cocycle Invariants of Knots , Dipali Swain

Comparative Analysis of Time Series Models on U.S. Stock and Exchange Rates: Bayesian Estimation of Time Series Error Term Model Versus Machine Learning Approaches , Young Keun Yang

Theses/Dissertations from 2023 2023

Statistical Analysis of Ribonucleotide Incorporation in Human Cells , Tejasvi Channagiri

Matrix Models of 2D Critical Phenomena , Nathan Hayford

Data-Driven Learning Algorithm Via Densely-Defined Multiplication Operators and Occupation Kernels. , John Kyei

Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani

Applied Analysis for Learning Architectures , Himanshu Singh

Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze

Recovering generators of principal ideals using subfield structure and applications to cryptography , William Youmans

Theses/Dissertations from 2022 2022

Application of the Riemann-Hilbert method to soliton solutions of a nonlocal reverse-spacetime Sasa-Satsuma equation and a higher-order reverse-time NLS-type equation , Ahmed Ahmed

New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana

Advances and Applications of Optimal Polynomial Approximants , Raymond Centner

Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty

On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly

Methods in Discrete Mathematics to Study DNA Rearrangement Processes , Lina Fajardo Gómez

Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He

Adversarial and Data Poisoning Attacks against Deep Learning , Jing Lin

Exploring the Vulnerability of A Neural Tangent Generalization Attack (NTGA) - Generated Unlearnable CIFAR-10 Dataset , Gitte Ost

Statistical Methods for Reliability Test planning and Data Analysis , Oluwaseun Elizabeth Otunuga

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

Effective Statistical and Machine Learning Methods to Analyze Children's Vocabulary Learning , Houston T. Sanders

Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi

A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman

Theses/Dissertations from 2021 2021

Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri

Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi

Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou

Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando

Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu

Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang

Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang

Theses/Dissertations from 2020 2020

Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi

Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun

Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu

On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman

Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek

Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen

Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan

Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop

On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink

Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang

Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala

Theses/Dissertations from 2019 2019

Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian

Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar

Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil

Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter

Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz

Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi

Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi

Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos

The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva

Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak

Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich

An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado

Power Graphs of Quasigroups , DayVon L. Walker

Theses/Dissertations from 2018 2018

Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed

Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai

A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah

Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa

Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields

Generalizations of Quandles and their cohomologies , Matthew J. Green

Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu

Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou

Human Activity Recognition Based on Transfer Learning , Jinyong Pang

Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham

Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel

Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova

Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang

Theses/Dissertations from 2017 2017

Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack

Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon

On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill

Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill

Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly

Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera

Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao

Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati

Dynamics of Multicultural Social Networks , Kristina B. Hilton

Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi

Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally

Patterns in Words Related to DNA Rearrangements , Lukas Nabergall

Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na

Schreier Graphs of Thompson's Group T , Allen Pennington

Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya

Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo

Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi

Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou

Theses/Dissertations from 2016 2016

A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea

Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery

Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman

On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr

Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim

Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano

Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure

Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru

Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park

Leonard Systems and their Friends , Jonathan Spiewak

Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun

Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu

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Dissertations and Placements 2010-Present

Emily Dautenhahn Thesis: Heat kernel estimates on glued spaces Advisor: Laurent Saloff-Coste First Position:  Assistant Professor at Murray State University

Elena Hafner Thesis: Combinatorics of Vexillary Grothendieck Polynomials Advisor: Karola Meszaros First Position: NSF Postdoctoral Fellow,, at University of Washington

Sumun Iyer Thesis: Dynamics of non-locally compact topological groups Advisor: Slawomir Solecki First Position: NSF Postdoctoral Fellow at Carnegie Mellon University in Pittsburgh

Sebastian Junge Thesis: Applications of Transferring the Ramsey Property between Categories Advisor: Slawomir Solecki First Position: Lecturer at Texas State University

Nicki Magill Thesis: Infinite Staircases for Hirzebruch Surfaces Advisor: Tara Holm First Position: NSF Postdoctoral Fellow at UC Berkeley

Prairie Wentworth-Nice Thesis: Finite Groups, Polymatroids, and Error-Correcting Codes Advisor: Edward Swartz First Position: Postdoctoral Teaching Fellow at Johns Hopkins University

Fiona Young Thesis: Dissecting an Integer Polymatroid Advisor: Edward Swartz First Position: Pursuing her own start-up in the math education technology space

Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel Halpern-Leistner First Position: Postdoc at the Institution for Advanced Study and Princeton

Max Lipton Thesis: Dynamical Systems in Pure Mathematics Advisor: Steven Strogatz First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology

Elise McMahon Thesis: A simplicial set approach to computing the group homology of some orthogonal subgroups of the discrete group  Advisor: Inna Zakharevich First Position: Senior Research Scientist at Two Six Technologies

Andrew Melchionna Thesis: Opinion Propagation and Sandpile Models  Advisor: Lionel Levine First Position: Quantitative Researcher at Trexquant

Peter Uttenthal Thesis: Density of Selmer Ranks in Families of Even Galois Representations Advisor: Ravi Kumar Ramakrishna First Position: Visiting Assistant Professor at Cornell University

Liu Yun Thesis: Towers of Borel Fibrations and Generalized Quasi-Invariants Advisor: Yuri Berest First Position: Postdoc at Indiana University Bloomington

Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC

Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University

Shiping Cao Thesis: Topics in scaling limits on some Sierpinski carpet type fractals Advisor: Robert Strichartz (Laurent Saloff-Coste in last semester) First Position: Postdoctoral Scholar, University of Washington

Andres Fernandes Herrero Thesis: On the boundedness of the moduli of logarithmic connections Advisor: Nicolas Templier First Position: Ritt Assistant Professor, Columbia University

Max Hallgren Thesis: Ricci Flow with a Lower Bound on Ricci Curvature Advisor: Xiaodong Cao First Position: NSF Postdoctoral Research Fellow, Rutgers University

Gautam Krishnan Thesis: Degenerate series representations for symplectic groups Advisor: Dan Barbasch First Position: Hill Assistant Professor, Rutgers University

Feng Liang Thesis: Mixing time and limit shapes of Abelian networks Advisor: Lionel Levine

David Mehrle Thesis: Commutative and Homological Algebra of Incomplete Tambara Functors Advisor: Inna Zakharevich First Position: Postdoctoral Scholar, University of Kentucky

Itamar Sales de Oliveira Thesis: A new approach to the Fourier extension problem for the paraboloid Advisor: Camil Muscalu First Position: Postdoctoral Researcher, Nantes Université

Brandon Shapiro Thesis: Shape Independent Category Theory Advisor: Inna Zakharevich First Position: Postdoctoral Fellow, Topos Institute

Ayah Almousa Thesis: Combinatorial characterizations of polarizations of powers of the graded maximal ideal Advisor: Irena Peeva First position: RTG Postdoctoral Fellow, University of Minnesota

Jose Bastidas Thesis: Species and hyperplane arrangements Advisor: Marcelo Aguiar First position: Postdoctoral Fellow, Université du Québec à Montréal

Zaoli Chen Thesis: Clustered Behaviors of Extreme Values Advisor: Gennady Samorodnitsky First Position: Postdoctoral Researcher, Department of and Statistics, University of Ottawa

Ivan Geffner Thesis: Implementing Mediators with Cheap Talk Advisor: Joe Halpern First Position: Postdoctoral Researcher, Technion – Israel Institute of Technology

Ryan McDermott Thesis: Phase Transitions and Near-Critical Phenomena in the Abelian Sandpile Model Advisor: Lionel Levine

Aleksandra Niepla Thesis:  Iterated Fractional Integrals and Applications to Fourier Integrals with Rational Symbol Advisor: Camil Muscalu First Position: Visiting Assistant Professor, College of the Holy Cross

Dylan Peifer Thesis: Reinforcement Learning in Buchberger's Algorithm Advisor: Michael Stillman First Position: Quantitative Researcher, Susquehanna International Group

Rakvi Thesis: A Classification of Genus 0 Modular Curves with Rational Points Advisor: David Zywina First Position: Hans Rademacher Instructor, University of Pennsylvania

Ana Smaranda Sandu Thesis: Knowledge of counterfactuals Advisor: Anil Nerode First Position: Instructor in Science Laboratory, Computer Science Department, Wellesley College

Maru Sarazola Thesis: Constructing K-theory spectra from algebraic structures with a class of acyclic objects Advisor: Inna Zakharevich First Position: J.J. Sylvester Assistant Professor, Johns Hopkins University

Abigail Turner Thesis: L2 Minimal Algorithms Advisor: Steven Strogatz

Yuwen Wang Thesis: Long-jump random walks on finite groups Advisor: Laurent Saloff-Coste First Position: Postdoc, University of Innsbruck, Austria

Beihui Yuan Thesis:  Applications of commutative algebra to spline theory and string theory Advisor: Michael Stillman First Position: Research Fellow, Swansea University

Elliot Cartee Thesis: Topics in Optimal Control and Game Theory Advisor: Alexander Vladimirsky First Position: L.E. Dickson Instructor, Department of , University of Chicago

Frederik de Keersmaeker Thesis: Displaceability in Symplectic Geometry Advisor: Tara Holm First Position: Consultant, Addestino Innovation Management

Lila Greco Thesis: Locally Markov Walks and Branching Processes Advisor: Lionel Levine First Position: Actuarial Assistant, Berkshire Hathaway Specialty Insurance

Benjamin Hoffman Thesis: Polytopes And Hamiltonian Geometry: Stacks, Toric Degenerations, And Partial Advisor: Reyer Sjamaar First Position: Teaching Associate, Department of , Cornell University

Daoji Huang Thesis: A Bruhat Atlas on the Wonderful Compactification of PS O(2 n )/ SO (2 n -1) and A Kazhdan-Lusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota

Pak-Hin Li Thesis: A Hopf Algebra from Preprojective Modules Advisor: Allen Knutson First position: Associate, Goldman Sachs

Anwesh Ray Thesis: Lifting Reducible Galois Representations Advisor: Ravi Ramakrishna First Position: Postdoctoral Fellowship, University of British Columbia

Avery St. Dizier Thesis: Combinatorics of Schubert Polynomials Advisor: Karola Meszaros First Position: Postdoctoral Fellowship, Department of , University of Illinois at Urbana-Champaign

Shihao Xiong Thesis: Forcing Axioms For Sigma-Closed Posets And Their Consequences Advisor: Justin Moore First Position: Algorithm Developer, Hudson River Trading

Swee Hong Chan Thesis: Nonhalting abelian networks Advisor: Lionel Levine First Position: Hedrick Adjunct Assistant Professor, UCLA

Joseph Gallagher Thesis: On conjectures related to character varieties of knots and Jones polynomials Advisor: Yuri Berest First Position: Data Scientist, Capital One

Jun Le Goh Thesis: Measuring the Relative Complexity of Mathematical Constructions and Theorems Advisor: Richard Shore First Position: Van Vleck Assistant Professor, University of Wisconsin-Madison

Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent Saloff-Coste First Position: Visiting Assistant Professor, Department of , Cornell University

Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent Saloff-Coste First Position: Data Scientist, Jet.com

Ian Pendleton Thesis:  The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds Advisor: Tara Holm

Amin Saied Thesis: Stable representation theory of categories and applications to families of (bi)modules over symmetric groups Advisor: Martin Kassabov First Position: Data Scientist, Microsoft

Yujia Zhai Thesis:  Study of bi-parameter flag paraproducts and bi-parameter stopping-time algorithms Advisor: Camil Muscalu First Position: Postdoctoral Associate, Université de Nantes 

Tair Akhmejanov Thesis: Growth Diagrams from Polygons in the Affine Grassmannian Advisor: Allen Knutson First position: Arthur J. Krener Assistant Professor, University of California, Davis

James Barnes Thesis:  The Theory of the Hyperarithmetic Degrees Advisor: Richard Shore First position: Visiting Lecturer, Wellesley College

Jeffrey Bergfalk Thesis:  Dimensions of ordinals: set theory, homology theory, and the first omega alephs Advisor: Justin Moore Postdoctoral Associate, UNAM - National Autonomous University of Mexico

TaoRan Chen Thesis: The Inverse Deformation Problem Advisor: Ravi Ramakrishna

Sergio Da Silva Thesis: On the Gorensteinization of Schubert varieties via boundary divisors Advisor: Allen Knutson First position: Pacific Institute for the Mathematical Sciences (PIMS) postdoctoral fellowship, University of Manitoba

Eduard Einstein Thesis:  Hierarchies for relatively hyperbolic compact special cube complexes Advisor: Jason Manning First position: Research Assistant Professor (Postdoc), University of Illinois, Chicago (UIC)

Balázs Elek Thesis:  Toric surfaces with Kazhdan-Lusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto

Kelsey Houston-Edwards Thesis:  Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent Saloff-Coste First position: Professor of Math and Science Communication, Olin College

My Huynh Thesis:  The Gromov Width of Symplectic Cuts of Symplectic Manifolds. Advisor: Tara Holm First position: Applied Mathematician, Applied Research Associates Inc., Raleigh NC.

Hossein Lamei Ramandi Thesis: On the minimality of non-σ-scattered orders Advisor: Justin Moore First position:  Postdoctoral Associate at UFT (University Toronto)

Christine McMeekin Thesis: A density of ramified primes Advisor: Ravi Ramakrishna First position: Researcher at Max Planck Institute

Aliaksandr Patotski Thesis:  Derived characters of Lie representations and Chern-Simons forms Advisor: Yuri Berest First position: Data Scientist, Microsoft

Ahmad Rafiqi Thesis:  On dilatations of surface automorphisms Advisor: John Hubbard First position: Postdoctoral Associate, Sao Palo, Brazil

Ying-Ying Tran Thesis:  Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher

Drew Zemke Thesis:  Surfaces in Three- and Four-Dimensional Topology Advisor: Jason Manning First position: Preceptor in , Harvard University

Heung Shan Theodore Hui Thesis: A Radical Characterization of Abelian Varieties  Advisor: David Zywina First position: Quantitative Researcher, Eastmore Group

Daniel Miller Thesis: Counterexamples related to the Sato–Tate conjecture Advisor: Ravi Ramakrishna First position: Data Scientist, Microsoft

Lihai Qian Thesis: Rigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions Advisor: Xiaodong Cao First position: Quantitative Associate, Wells Fargo

Valente Ramirez Garcia Luna Thesis: Quadratic vector fields on the complex plane: rigidity and analytic invariants Advisor: Yulij Ilyashenko First position: Lebesgue Post-doc Fellow, Institut de Recherche Mathématique de Rennes

Iian Smythe Thesis: Set theory in infinite-dimensional vector spaces Advisor: Justin Moore First position: Hill Assistant Professor at Rutgers, the State University of New Jersey

Zhexiu Tu Thesis: Topological representations of matroids and the cd-index Advisor: Edward Swartz First position: Visiting Professor - Centre College, Kentucky

Wai-kit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University

Lucien Clavier Thesis: Non-affine horocycle orbit closures on strata of translation surfaces: new examples Advisor: John Smillie First position: Consultant in Capital Markets, Financial Risk at Deloitte Luxembourg

Voula Collins Thesis: Crystal branching for non-Levi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space Advisor: Allen Knutson FIrst position: Postdoctoral Associate, University of Connecticut

Pok Wai Fong Thesis: Smoothness Properties of symbols, Calderón Commutators and Generalizations Advisor: Camil Muscalu First position: Quantitative researcher, Two Sigma

Tom Kern Thesis: Nonstandard models of the weak second order theory of one successor Advisor: Anil Nerode First position: Visiting Assistant Professor, Cornell University

Robert Kesler Thesis: Unbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators Advisor: Camil Muscalu First position: Postdoctoral Associate, Georgia Institute of Technology

Yao Liu Thesis: Riesz Distributions Assiciated to Dunkl Operators Advisor: Yuri Berest First position: Visiting Assistant Professor, Cornell University

Scott Messick Thesis: Continuous atomata, compactness, and Young measures Advisor: Anil Nerode First position: Start-up

Aaron Palmer Thesis: Incompressibility and Global Injectivity in Second-Gradient Non-Linear Elasticity Advisor: Timothy J. Healey First position: Postdoctoral fellow, University of British Columbia 

Kristen Pueschel Thesis: On Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups Advisor: Timothy Riley First position: Postdoctoral Associate, University of Arkansas

Chenxi Wu Thesis: Translation surfaces: saddle connections, triangles, and covering constructions. Advisor: John Smillie First position: Postdoctoral Associate, Max Planck Institute of

David Belanger Thesis: Sets, Models, And Proofs: Topics In The Theory Of Recursive Functions Advisor: Richard A. Shore First position: Research Fellow, National University of Singapore

Cristina Benea Thesis: Vector-Valued Extensions for Singular Bilinear Operators and Applications Advisor: Camil Muscalu First position: University of Nantes, France

Kai Fong Ernest Chong Thesis: Face Vectors and Hilbert Functions Advisor: Edward Swartz First position: Research Scientist, Agency for Science, Technology and Research, Singapore

Laura Escobar Vega Thesis: Brick Varieties and Toric Matrix Schubert Varieties Advisor: Allen Knutson First position: J. L. Doob Research Assistant Professor at UIUC

Joeun Jung Thesis: Iterated trilinear fourier integrals with arbitrary symbols Advisor: Camil Muscalu First position: Researcher, PARC (PDE and Functional Analysis Research Center) of Seoul National University

Yasemin Kara Thesis: The laplacian on hyperbolic Riemann surfaces and Maass forms Advisor: John H. Hubbard Part Time Instructor, Faculty of Engineering and Natural Sciences, Bahcesehir University

Chor Hang Lam Thesis: Homological Stability Of Diffeomorphism Groups Of 3-Manifolds Advisor: Allen Hatcher

Yash Lodha Thesis: Finiteness Properties And Piecewise Projective Homeomorphisms Advisor: Justin Moore and Timothy Riley First position: Postdoctoral fellow at Ecole Polytechnique Federale de Lausanne in Switzerland

Radoslav Zlatev Thesis: Examples of Implicitization of Hypersurfaces through Syzygies Advisor: Michael E. Stillman First position: Associate, Credit Strats, Goldman Sachs

Margarita Amchislavska Thesis: The geometry of generalized Lamplighter groups Advisor: Timothy Riley First position: Department of Defense

Hyungryul Baik Thesis: Laminations on the circle and hyperbolic geometry Advisor: John H. Hubbard First position: Postdoctoral Associate, Bonn University

Adam Bjorndahl Thesis: Language-based games Advisor: Anil Nerode and Joseph Halpern First position: Tenure Track Professor, Carnegie Mellon University Department of Philosophy

Youssef El Fassy Fihry Thesis: Graded Cherednik Algebra And Quasi-Invariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft

Chikwong Fok Thesis: The Real K-theory of compact Lie groups Advisor: Reyer Sjamaar First position: Postdoctoral fellow in the National Center for Theoretical Sciences, Taiwan

Kathryn Lindsey Thesis: Families Of Dynamical Systems Associated To Translation Surfaces Advisor: John Smillie First position: Postdoctoral Associate, University of Chicago

Andrew Marshall Thesis: On configuration spaces of graphs Advisor: Allan Hatcher First position: Visiting Assistant Professor, Cornell University

Robyn Miller Thesis: Symbolic Dynamics Of Billiard Flow In Isosceles Triangles Advisor: John Smillie First position: Postdoctoral Researcher at Mind Research Network

Diana Ojeda Aristizabal Thesis: Ramsey theory and the geometry of Banach spaces Advisor: Justin Moore First position: Postdoctoral Fellow, University of Toronto

Hung Tran Thesis: Aspects of the Ricci flow Advisor: Xiaodong Cao First position: Visiting Assistant Professor, University of California at Irvine

Baris Ugurcan Thesis: LPLP-Estimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs Advisor: Robert S. Strichartz First position: Postdoctoral Fellowship, University of Western Ontario

Anna Bertiger Thesis: The Combinatorics and Geometry of the Orbits of the Symplectic Group on Flags in Complex Affine Space Advisor: Allen Knutson First position: University of Waterloo, Postdoctoral Fellow

Mariya Bessonov Thesis: Probabilistic Models for Population Dynamics Advisor: Richard Durrett First position: CUNY City Tech, Assistant Professor, Tenure Track

Igors Gorbovickis Thesis: Some Problems from Complex Dynamical Systems and Combinatorial Geometry Advisor: Yulij Ilyashenko First position: Postdoctoral Fellow, University of Toronto

Marisa Hughes Thesis: Quotients of Spheres by Linear Actions of Abelian Groups Advisor: Edward Swartz First position: Visiting Professor, Hamilton College

Kristine Jones Thesis: Generic Initial Ideals of Locally Cohen-Macaulay Space Curves Advisor: Michael E. Stillman First position: Software Developer, Microsoft

Shisen Luo Thesis: Hard Lefschetz Property of Hamiltonian GKM Manifolds Advisor: Tara Holm First position: Associate, Goldman Sachs

Peter Luthy Thesis: Bi-parameter Maximal Multilinear Operators Advisor: Camil Muscalu First position: Chauvenet Postdoctoral Lecturer at Washington University in St. Louis 

Remus Radu Thesis: Topological models for hyperbolic and semi-parabolic complex Hénon maps Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University

Jenna Rajchgot Thesis: Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane Advisor: Allen Knutson First position: Research member at the Mathematical Sciences Research Institute (fall 2012); postdoc at the University of Michigan

Raluca Tanase Thesis: Hénon maps, discrete groups and continuity of Julia sets Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University

Ka Yue Wong Thesis: Dixmier Algebras on Complex Classical Nilpotent Orbits and their Representation Theories Advisor: Dan M. Barbasch First position: Postdoctoral fellow at Hong Kong University of Science and Technology

Tianyi Zheng Thesis: Random walks on some classes of solvable groups Advisor: Laurent Saloff-Coste First position: Postdoctoral Associate, Stanford University

Juan Alonso Thesis: Graphs of Free Groups and their Measure Equivalence Advisor: Karen Vogtmann First position: Postdoc at Uruguay University

Jason Anema Thesis: Counting Spanning Trees on Fractal Graphs Advisor: Robert S. Strichartz First position: Visiting assistant professor of mathematics at Cornell University

Saúl Blanco Rodríguez Thesis: Shortest Path Poset of Bruhat Intervals and the Completecd-Index Advisor: Louis Billera First position: Visiting assistant professor of mathematics at DePaul University

Fatima Mahmood Thesis: Jacobi Structures and Differential Forms on Contact Quotients Advisor: Reyer Sjamaar First position: Visiting assistant professor at University of Rochester

Philipp Meerkamp Thesis: Singular Hopf Bifurcation Advisor: John M. Guckenheimer First position: Financial software engineer at Bloomberg LP

Milena Pabiniak Thesis: Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Advisor: Tara Holm First position: Postdoctoral associate at the University of Toronto

Peter Samuelson Thesis: Kauffman Bracket Skein Modules and the Quantum Torus Advisor: Yuri Berest First position: Postdoctoral associate at the University of Toronto

Mihai Bailesteanu  Thesis: The Heat Equation under the Ricci Flow Advisor: Xiaodong Cao First position: Visiting assistant professor at the University of Rochester

Owen Baker  Thesis:  The Jacobian Map on Outer Space Advisor: Karen Vogtmann First position: Postdoctoral fellow at McMaster University

Jennifer Biermann  Thesis: Free Resolutions of Monomial Ideals Advisor: Irena Peeva First position: Postdoctoral fellow at Lakehead University

Mingzhong Cai  Thesis: Elements of Classical Recursion Theory: Degree-Theoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison

Ri-Xiang Chen  Thesis: Hilbert Functions and Free Resolutions Advisor: Irena Peeva First position: Instructor at Shantou University in Guangdong, China

Denise Dawson  Thesis: Complete Reducibility in Euclidean Twin Buildings Advisor: Kenneth S. Brown First position: Assistant professor of mathematics at Charleston Southern University

George Khachatryan Thesis: Derived Representation Schemes and Non-commutative Geometry Advisor: Yuri Berest First position: Reasoning Mind

Samuel Kolins  Thesis: Face Vectors of Subdivision of Balls Advisor: Edward Swartz First position: Assistant professor at Lebanon Valley College

Victor Kostyuk Thesis: Outer Space for Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind

Ho Hon Leung  Thesis: K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory Advisor: Reyer Sjamaar First position: Assistant professor at the Canadian University of Dubai

Benjamin Lundell  Thesis: Selmer Groups and Ranks of Hecke Rings Advisor: Ravi Ramakrishna First position: Acting assistant professor at the University of Washington

Eyvindur Ari Palsson  Thesis: Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator Advisor: Camil Muscalu First position: Visiting assistant professor at the University of Rochester

Paul Shafer  Thesis: On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Advisor: Richard A. Shore First position: Lecturer at Appalachian State University

Michelle Snider  Thesis: Affine Patches on Positroid Varieties and Affine Pipe Dreams Advisor: Allen Knutson First position: Government consulting job in Maryland

Santi Tasena Thesis: Heat Kernel Analysis on Weighted Dirichlet Spaces Advisor: Laurent Saloff-Coste First position: Lecturer professor at Chiang Mai University, Thailand

Russ Thompson  Thesis: Random Walks and Subgroup Geometry Advisor: Laurent Saloff-Coste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute

Gwyneth Whieldon Thesis: Betti Numbers of Stanley-Reisner Ideals Advisor: Michael E. Stillman First position: Assistant professor of mathematics at Hood College

Andrew Cameron Thesis: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations Advisor: Alfred H. Schatz First position: Adjunct instructor of mathematics at Tompkins Cortland Community College

Timothy Goldberg Thesis: Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry Advisor: Reyer Sjamaar First position: Visiting assistant professor of mathematics at Lenoir-Rhyne University

Gregory Muller Thesis: The Projective Geometry of Differential Operators Advisor: Yuri Berest First position: Assistant professor at Louisiana State University 

Matthew Noonan Thesis: Geometric Backlund transofrmation in homogeneous spaces Advisor: John H. Hubbard

Sergio Pulido Niño Thesis: Financial Markets with Short Sales Prohibition Advisor: Philip E. Protter First position: Postdoctoral associate in applied probability and finance at Carnegie Mellon University

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Mathematics PhD theses

A selection of Mathematics PhD thesis titles is listed below, some of which are available online:

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Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits

Anne Sophie Rojahn –  Localised adaptive Particle Filters for large scale operational NWP model

Melanie Kobras –  Low order models of storm track variability

Ed Clark –  Vectorial Variational Problems in L∞ and Applications to Data Assimilation

Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes  

Chiara Cecilia Maiocchi –  Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems

Samuel R Harrison – Stalactite Inspired Thin Film Flow

Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability

Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions  

Jennifer E. Israelsson –  The spatial statistical distribution for multiple rainfall intensities over Ghana

Giulia Carigi –  Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics

André Macedo –  Local-global principles for norms

Tsz Yan Leung  –  Weather Predictability: Some Theoretical Considerations

Jehan Alswaihli –  Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations

Jemima M Tabeart –  On the treatment of correlated observation errors in data assimilation

Chris Davies –  Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems

Birzhan Ayanbayev –  Some Problems in Vectorial Calculus of Variations in L∞

Penpark Sirimark –  Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation

Adam Barker –  Path Properties of Levy Processes

Hasen Mekki Öztürk –  Spectra of Indefinite Linear Operator Pencils

Carlo Cafaro –  Information gain that convective-scale models bring to probabilistic weather forecasts

Nicola Thorn –  The boundedness and spectral properties of multiplicative Toeplitz operators

James Jackaman  – Finite element methods as geometric structure preserving algorithms

Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics

Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface

Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations

Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)

Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)

Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)

Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)

Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)

Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)

Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)

Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)

Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)

Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)

Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)

Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)

Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)

Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)

Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)

Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)

Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)

Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)

Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)

Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)

Mark Parsons - Mathematical Modelling of Evolving Networks

Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring

David Gilbert - Analysis of large-scale atmospheric flows

Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)

Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)

Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)

Cassandra A.J. Moran - Wave scattering by harbours and offshore structures

Ashley Twigger - Boundary element methods for high frequency scattering

David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)

Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)

Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)

Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)

Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)

Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)

Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)

Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)

R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)

G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)

C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.

P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)

L. Bennetts - Wave scattering by ice sheets of varying thickness

M. Preston - Boundary Integral Equations method for 3-D water waves

J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)

D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)

S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)

J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)

L. Watkinson - Four dimensional variational data assimilation for Hamiltonian problems

M. Hunt - Unique extension of atomic functionals of JB*-Triples

D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications

T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill

C. Hughes - On the topographical scattering and near-trapping of water waves

B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems

D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows

M. Henderson - Extending the edge-colouring of graphs

K. Allen - The propagation of large scale sediment structures in closed channels

D. Cariolaro - The 1-Factorization problem and same related conjectures

A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples

D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling

S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction

C. Johnson - Information Content of Observations in Variational Data Assimilation

M.A. Wakefield - Bounds on Quantities of Physical Interest

M. Johnson - Some problems on graphs and designs

A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts

R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems

J.V. Morgan - Numerical Methods for Macroscopic Traffic Models

M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling

M. Martin - Data Assimilation in Ocean circulation models with systematic errors

K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations

J. Hudson - Numerical Techniques for Morphodynamic Modelling

A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .

C.J.Smith - The semi lagrangian method in atmospheric modelling

T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow

M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.

P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.

M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors

P. Sims - Interface Tracking using Lagrangian Eulerian Methods.

P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.

B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.

S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.

I. Sciriha - On Some Aspects of Graph Spectra.

P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.

J.F. Goodwin - Developing a practical approach to water wave scattering problems.

N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.

L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.

A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .

J. Bryans - Denotational semantic models for real-time LOTOS.

I. MacDonald - Analysis and computation of steady open channel flow .

A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.

S.M. Allen - Extended edge-colourings of graphs.

M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.

C.J. Chikunji - On the classification of finite rings.

S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.

D.J. Staziker - Water wave scattering by undulating bed topography .

K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .

D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .

M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .

M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .

S.M. Stringer - The use of robust observers in the simulation of gas supply networks .

S.L. Wakelin - Variational principles and the finite element method for channel flows. .

E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .

C.P. Reeves - Moving finite elements and overturning solutions .

A.J. Malcolm - Data dependent triangular grid generation. .