mathematics education phd thesis topics

The main objective of this program is to develop educators with an understanding of mathematics and its teaching and learning, and with the capabilities for research and professional practice in the field.

This program provides a balance between mathematics and mathematics education in order to develop mathematics educators who can become: (i) Faculty members in mathematics departments or schools of education in universities, four year colleges, or community colleges; (ii) Curriculum specialists in mathematics, supervisors of mathematics at the middle school level or secondary school level, or mathematics specialists in state or local departments of education; (iii) Private sector specialists in mathematics education.

Where our doctoral program graduates are currently employed or were employed just after graduating.

Program Prerequisites

Candidates in this program must currently have (or complete during their program) a master's degree in mathematics equivalent to the MS/MA Mathematics degree or the MS in Mathematics for Teachers degree at Portland State University.

In addition to program prerequisites, applicants must meet the university's minimum admission requirements including English language proficiency .

Application Deadline

This program admits once per year for fall term only. Applicants seeking financial support should apply by January 15th for priority consideration. Applications will not be accepted after February 1.

Application Instructions

Cost and funding .

Refer to the University Student Finance web page for tuition and financial aid information.

The department offers a limited number of Teaching Assistantships, Research Assistantships , Fellowships, and Scholarships. Program applicants are able to indicate their interest in an assistantship as part of the online program application.

Degree Requirements

Candidates must complete an approved program of 84 credit hours consisting of three major components: coursework, a research practicum experience, and dissertation research.

Coursework (54 credits)

Coursework must include a minimum of:

Research Practicum MTH 601 (3 credits)

The purpose of the research experience will be to provide candidates with an opportunity to use methodological techniques in mathematics education early on in their course of study. Prior to the dissertation, candidates will be expected to gain experience with the qualitative and quantitative approaches that are now used by many researchers and curriculum developers in mathematics education. Some examples of possible research practicum experiences are: case studies of students' learning documented over time, studies of teachers' practice in the mathematics classroom, documentation of teachers' beliefs about mathematics as they implement new curricula.

Dissertation Research MTH 603 (27 credits)

The PhD dissertation research will ordinarily be conducted under the guidance of a mathematics educator in the Fariborz Maseeh Department of Mathematics and Statistics. The dissertation is the most important part of a candidates program, and involves identifying and researching a significant problem which builds upon previous research, and which will make an original contribution to an area of research in mathematics education. Dissertation committees consisting of a mix of faculty with expertise in mathematics education, mathematics, curriculum and instruction, and other areas outside of mathematics education will be encouraged. After completing the comprehensive examinations, the chairperson and dissertation committee will be appointed. The student will develop a dissertation proposal which will be defended in an oral presentation to the committee. When the proposal has been approved by the committee, and if necessary by the University Human Subjects research Review committee, the student will be considered a candidate for the PhD in mathematics education. The dissertation must be completed according to the outlines of the proposal approved by the candidate's committee. Students must register for dissertation credit during each term they are engaged in dissertation research. Upon completion of doctoral thesis work, the candidate will defend the dissertation before the committee in an oral presentation that is open to other interested faculty and students. The student is expected to demonstrate knowledge of the research literature in mathematics education that relates to the particular problem chosen for research, and to show how the dissertation contributes to work in this area.

Demonstrated Competency Areas

Prior to completing their program, candidates in the Mathematics Education PhD program will be expected to demonstrate competency in the following 7 areas:

1. Mathematics Education

The competency in mathematics education can be met by successfully completing graduate coursework in mathematics education and the psychology of learning and by passing a written, comprehensive exam.

Coursework: Candidates must successfully complete the 6 graduate seminars in Mathematics Education (Math 690, 691, 692, 693, 694, and 695) and at least one course in the psychology of learning.

Comprehensive Exam in Mathematics Education: Prior to being advanced to candidacy, students must pass and orally defend a written, comprehensive exam that covers the key developments and theoretical perspectives on the history of mathematics education, the teaching and learning of mathematics, and the development of curriculum in mathematics. The implications of this information for urban populations and settings will also be included. Students will have two weeks to compose their responses, which they will defend orally before an examination committee.

2. Mathematics

Applicants to the Ph.D. in Mathematics Education are expected to have at least a master's degree in mathematics or a degree equivalent to the MS in Mathematics for Teachers (MS-MTCH) degree at Portland State University. The competency in mathematics can be met by successfully completing additional graduate-level course work in mathematics beyond the masters and by passing a written comprehensive exam.

Coursework: Candidates must complete an additional 18 graduate-level credits in mathematics beyond the masters (or the equivalent of the MS-MTCH degree at PSU) that together with their master's program reflects a sufficient breadth and depth of the topics in elementary calculus and analysis, linear and abstract algebra, geometry and topology, probability and statistics, and other applications

Comprehensive Exams in Mathematics: Prior to being advanced to candidacy, students must pass and orally defend a written comprehensive exam in mathematics that covers the big ideas of analysis, linear and abstract algebra, plus one of the following areas: probability, statistics, topology, geometry, or applied mathematics. Students will sit for the exam but will have the opportunity to defend their responses orally before an examination committee.

3. Supporting Content Areas

The competency in supporting content area(s) can be met by successfully completing 18 graduate credit hours in areas outside of mathematics such as, curriculum and instruction, psychology, educational policy, science, computer science, philosophy, sociology, anthropology, etc. Candidates will be expected to plan this portion of their program in consultation with their advisor so that the 18 credits forms a coherent supporting focus and includes at least one course in the psychology of learning.

4. Teaching

5: The use of technologies in teaching mathematics

Students will be expected to acquire background and experiences in how students best learn mathematics within technologically enhanced learning environments either by working with students in K-12 classrooms or by teaching courses in the department that utilize technology (e.g., pre-calculus, calculus, linear algebra, or differential equations). The role of technology in mathematics education will be addressed throughout the doctoral program. In the seminar courses on teaching and learning (Math 693 and 694) and in the topics courses (Math 695) students will become versed in the research literature on technology in mathematics education.

The Fariborz Maseeh Department of Mathematics and Statistics also offers Math 588 "Technology for Teachers" which provides exposure to a variety of technologies including symbolic algebra manipulators (i.e., Maple, Mathematica, and Derive), graphing packages (Derive, various graphing calculators), and geometrical tools (Cabri geometry, Geometer's Sketchpad). In addition students are introduced to the various mathematics resources and information available on the World Wide Web. This course, or its equivalent, will be required of all participants in the program.

6. Applications of mathematics education in an urban setting

Portland State University and the Portland Metro area provide a "natural laboratory" for conducting research on the teaching and learning of mathematics within an urban setting. Moreover, integral to the mission of Portland State University is a commitment to work with community partners in the promotion of educational reform K-16. Candidates in the Ph.D. program will be expected to demonstrate competency in working with urban populations and settings either by providing service or conducting research with community partners.

7. Research in Mathematics Education

The competency in research in mathematics education can be met by successfully completing coursework in research in mathematics education, a research practicum project, and the doctoral dissertation.

Coursework: Students need to demonstrate experience with both quantitative and qualitative research methods which can be done through coursework and within the research practicum. Students must successfully complete Mathematics 692, Research Methodology and Research Design in Mathematics Education. Some students may also wish to take some additional coursework in research methodologies from outside areas.

In a doctoral program, the residency requirement can be satisfied in one of the follow ways:

Student Handbook

For additional details please read the PhD in Mathematics Student Handbook and the general rules in the Graduate School section of the University Bulletin .

Mathematics Education PhD

Doctor of philosophy.

The Doctor of Philosophy (Ph.D.) degree emphasizes research competencies. The degree requires a scholarly dissertation of intellectual merit and sound research methodology. Dissertation research may include analytical studies of the process of teaching or experimental studies of the teaching-learning process, including studies of verbal learning and laboratory practice or historical studies.

A student is engaged in conversation with one her peers at a study group at Teachers College.

Admissions Information

Application Deadlines

* For details about rolling deadlines , visit our admission deadlines page.

Supplemental Application Requirements/Comments

Additional Degree Information

Program Study Guide

Requirements from the TC Catalog

View Full Catalog Listing

Doctoral Degrees

All candidates for the Ed.D., Ed.D.C.T., or Ph.D. degrees are expected to demonstrate both mathematics and mathematics education competencies through a series of certification examinations taken upon the completion of 60 graduate points. Certification examinations test the student’s knowledge of current research and theory in mathematics education and mathematics content. Examinations are offered once in the fall, spring, and summer terms. Courses recommended as preparation for the examinations include MSTM 4019/4020, MSTM 6037, and 6000- level mathematics content courses.

Students must demonstrate acceptable proficiency in at least three of the following six mathematics content areas: algebra, analysis, discrete mathematics, foundations of mathematics, geometry and topology, and probability and statistics. Students may sit for the examination in mathematics content during the regular certification examination times. Alternatively, they may register for advanced content courses and, with permission of the program, sit for the content area certification examination upon completion of the course. Incoming doctoral candidates should register for Professional Seminar in Mathematics during the first year of doctoral studies.

Doctoral students whose dissertations require statistical analysis should include appropriate statistics courses in their programs. These points can be included either in the mathematics/mathematics education requirement or can be taken as research electives.

Doctor of Philosophy in Mathematics Education

Candidates are encouraged to develop an association with a faculty member early in their studies to identify a problem area of mutual interest to plan a course of studies that leads to the competencies needed to complete dissertation research and prepare for a professional role. Further details are available in the brochures on doctoral studies and in the general descriptions of doctoral programs available from the Office of Doctoral Studies.

A program of study for the Doctor of Philosophy degree must include at least 45 points taken under Teachers College registration. In order to permit the acquisition of broad and basic scholarship, each program of study should include at least 60 points in mathematics, mathematics education, statistics, and computing. At least 35 points should be in advanced courses – including research courses (MSTM 6500 or 6501 and MSTM 7500). (Any Teachers College course at the 6000 level or above, any Columbia University Graduate School of Arts and Sciences course with a “G” prefix, any “W” course numbered above 4000, or any transferred course with a graduate-level prerequisite will be considered an advanced course.) Further, 15 points in the philosophical, psychological, and curricular foundations of education must be included in every Ph.D. program. Students whose dissertations require statistical analysis should include appropriate statistics courses in their programs. These points can be included either in the mathematics/mathematics education requirement or can be taken as research electives.

Candidates for the Ph.D. degree are required to demonstrate competency in two languages chosen from among French, German, and Russian. Students who require other languages for the preparation of their dissertation may petition the program to request one substitution. Students in mathematics may not use computer languages or statistics to satisfy the language requirement.

The Ph.D. dissertation is a scholarly study contributing new theoretical knowledge to the field and should be planned early in the program when sufficient advanced courses have been completed to permit the candidate to enroll in relevant research courses. Ph.D. dissertations in mathematics education should be (1) experimental studies in learning, (2) analytical studies in policy theory in mathematics education, or (3) other scholarly investigations of problems and issues of broad significance in the field.

The site of the Program offers a list of Topic study groups which doctoral students are recommended to join.

View Other Degrees

Program Director : Professor Alexander Karp

Teachers College, Columbia University 323 Thompson

Phone: (212) 678-3381 Fax: (212) 678-8319

Email: tcmath@tc.edu

California State University, San Bernardino

Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations

Mathematics Theses, Projects, and Dissertations

Theses/projects/dissertations from 2022 2022.

SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade

The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles

Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen

de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox

Symmetric Generation , Ana Gonzalez

SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha

Simple Groups and Related Topics , Simrandeep Kaur

Homomorphic Images and Related Topics , Alejandro Martinez

LATTICE REDUCTION ALGORITHMS , Juan Ortega

THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger

Verifying Sudoku Puzzles , Chelsea Schweer

AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns

Theses/Projects/Dissertations from 2021 2021

Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena

Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez

SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona

Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne

MEASURE AND INTEGRATION , JeongHwan Lee

A Study in Applications of Continued Fractions , Karen Lynn Parrish

Partial Representations for Ternary Matroids , Ebony Perez

Theses/Projects/Dissertations from 2020 2020

Sum of Cubes of the First n Integers , Obiamaka L. Agu

Permutation and Monomial Progenitors , Crystal Diaz

Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez

Research In Short Term Actuarial Modeling , Elijah Howells

Hyperbolic Triangle Groups , Sergey Katykhin

Exploring Matroid Minors , Jonathan Lara Tejeda

DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan

Modeling the Spread of Measles , Alexandria Le Beau

Symmetric Presentations and Related Topics , Mayra McGrath

Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder

ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah

Excluded minors for nearly-paving matroids , Vanessa Natalie Vega

Theses/Projects/Dissertations from 2019 2019

Fuchsian Groups , Bob Anaya

Tribonacci Convolution Triangle , Rosa Davila

VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday

Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James

Geodesics on Generalized Plane Wave Manifolds , Moises Pena

Algebraic Methods for Proving Geometric Theorems , Lynn Redman

Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.

THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons

CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham

Theses/Projects/Dissertations from 2018 2018

PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre

Monomial Progenitors and Related Topics , Madai Obaid Alnominy

Progenitors Involving Simple Groups , Nicholas R. Andujo

Simple Groups, Progenitors, and Related Topics , Angelica Baccari

Exploring Flag Matroids and Duality , Zachary Garcia

Images of Permutation and Monomial Progenitors , Shirley Marina Juan

MODERN CRYPTOGRAPHY , Samuel Lopez

Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna

Symmetric Presentations, Representations, and Related Topics , Adam Manriquez

Toroidal Embeddings and Desingularization , LEON NGUYEN

THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco

Tutte-Equivalent Matroids , Maria Margarita Rocha

Symmetric Presentations and Double Coset Enumeration , Charles Seager

MANUAL SYMMETRIC GENERATION , Joel Webster

Theses/Projects/Dissertations from 2017 2017

Investigation of Finite Groups Through Progenitors , Charles Baccari

CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez

Making Models with Bayes , Pilar Olid

An Introduction to Lie Algebra , Amanda Renee Talley

SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco

CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo

Theses/Projects/Dissertations from 2016 2016

Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh

Regular Round Matroids , Svetlana Borissova

GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros

REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney

Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis

BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee

ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez

LIFE EXPECTANCY , Ali R. Hassanzadah

PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon

A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal

The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen

Probabilistic Methods In Information Theory , Erik W. Pachas

THINKING POKER THROUGH GAME THEORY , Damian Palafox

Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado

Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas

AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn

The Evolution of Cryptology , Gwendolyn Rae Souza

Theses/Projects/Dissertations from 2015 2015

SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi

Homomorphic Images And Related Topics , Kevin J. Baccari

Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez

Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn

Symmetric Presentations and Generation , Dustin J. Grindstaff

HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.

SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp

Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.

Elliptic Curves , Trinity Mecklenburg

A Fundamental Unit of O_K , Susana L. Munoz

CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez

Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field , Nolberto Rezola

ALGEBRA 1 STUDENTS’ ABILITY TO RELATE THE DEFINITION OF A FUNCTION TO ITS REPRESENTATIONS , Sarah A. Thomson

The Gelfand Theorem for Commutative Banach Algebras , Nhan H. Zuick

Theses/Projects/Dissertations from 2014 2014

Radio Number for Fourth Power Paths , Linda V. Alegria

The Linear Cutwidth and Cyclic Cutwidth of Complete n-Partite Graphs , Stephanie A. Creswell

SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , David R. Gomez Jr

Homormophic Images and their Isomorphism Types , Diana Herrera

A KLEINIAN APPROACH TO FUNDAMENTAL REGIONS , Joshua L. Hidalgo

THE HAHN-BANACH THEOREM AND SOLUTION OF RELATED PROBLEMS , Fonzie T. Nguyen

On the Evolution of Virulence , Thi Nguyen

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110+ Exceptional Education Research Topics Ideas

Letters that make up the words of education

Topics for education research usually comprise school research topics, research problems in education, qualitative research topics in education, and concept paper topics about education to mention a few.

If you’re looking for research titles about education, you’re reading the right post! This article contains 110 of the best education research topics that will come in handy when you need to choose one for your research. From sample research topics in education, to research titles examples for high school students about education – we have it all.

Educational Research Topics

Research title examples for college students, quantitative research titles about education, topics related to education for thesis, research titles about school issues, ph.d. research titles in education, elementary education research topics, research title examples about online class, research titles about modular learning, examples of research questions in education, special education research titles.

The best research titles about education must be done through the detailed process of exploring previous works and improving personal knowledge.

Here are some good research topics in education to consider.

What Are Good Research Topics Related to Education?

The following examples of research titles about education for college students are ideal for a project that will take a long duration to complete. Here are some education topics for research that you can consider for your degree.

These research topics about education require a direct quantitative analysis and study of major ideas and arguments. They often contain general statistics and figures to back up regular research. Some of such research topics in education include:

A research title about school issues focuses on activities surrounding the school environment and its effects on students, teachers, parents, and education in general. Below are some sample research titles in education, relating to school issues.

As you create your proposed list of research topics in education, consider scientific journals for referencing purposes. Here are some Ph.D. research titles for education.

The research topics in elementary education in 2022 are very different from the elementary education research topics from five or ten years ago. This creates interesting grounds for different research titles for elementary education.

Here are some elementary education title research ideas.

Here are some research title examples for students taking online classes.

The modular learning approach focuses primarily on learning outcomes. Here are some examples of research titles about modular learning.

These research title examples about education answer important questions and they can also be argumentative essay topics .

Here are some titles of research about education questions.

Some of the research title examples about education include:

Final words about education research topics

We have provided some reliable examples of a research topic about education you can use for your thesis. You can use these research titles in education to cultivate your ideas, create inspiration, or for online research. Remember always to select a topic that you’re naturally passionate about and do diligent research, and reach out to our professional writing services if you need any help.

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Dissertations for Mathematics Education

Abel, brian b., the impact of a computer based math instruction program on fifth grade student academic performance on the texas assessment of knowledge and skills in one school district, abramowitz, sarah knapp, a computer-enhanced course in descriptive statistics at the college level: an analysis of student achievement and attitudes, abrego, patricia c., perceptions of campus administrators, teachers, and students on use of interactive videoconferencing for the delivery of high school algebra in selected rural public high schools in south texas, adams, marietta smith, gender differences in the complexity of virtual lego block designs of kindergarten students, adamy, peter hilton, an analysis of factors that influence technology integration by math teacher educators, adleman, kathleen a., problem-solving strategies of young children working on a combinatorics task in a computer environment, adolphson, keith victor, mathematical embodiment through robotics activities, aguilar, darla jean, calculator use in developmental mathematics in a community college, ahn, doehee, an exploratory study into the development of cognitive and metacognitive processes in mathematics problem-solving via computer, aldred, keith gregson, the effects of contextualized technical courses, where mathematics is embedded, situated, and generative, on the mathematics achievement of high school students, alexander, melina, evaluation of mathematics methods online: planning knowledge, classroom applications, and pupil outcomes, alghazo, iman mohammad, a study of the technology competencies of preservice secondary mathematics teachers, al-harthi, hamood k., student-faculty power/knowledge relations: the implications of the internet in mathematics education and social studies education programs at sultan qaboos university, allanson, patricia elizabeth, social mathworking: the effects of online reflection on algebra i students' sense of community and perceived learning, allen, roseann p., algebraic functions in a graphing technology environment: student performance after small group work using teacher-generated versus student-generated examples, allison, tracy michelle hunter, the impact of classroom performance system-based instruction with peer instruction upon student achievement and motivation in eighth grade math students, almekbel, abdullah s. m., the impact of a teacher enhancement program on 7th through 12th grade mathematics instruction with regard to curriculum, technology, and assessment, alshehri, khaled abdullah, the influence of mathematics teachers' knowledge in technology, pedagogy and content (tpack) on their teaching effectiveness in saudi public schools, alzahrani, khalid s., the attitudes of high school mathematics teachers in jeddah, saudi arabia, toward using calculators in teaching mathematics, the effect of incorporating geometer's sketchpad in a high school geometry course to improve conceptual understanding, inductive reasoning, and motivation, sign in or register, sign in using email & password.

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Education Dissertation Topics

Published by Grace Graffin at January 5th, 2023 , Revised On January 6, 2023

Introduction

Education as a subject helps in understanding the various learning approaches and different types of education. When you choose education as your major subject, you will be expected to develop a critical understanding of the issues surrounding education.

To choose an education dissertation topic, you can look into a wide array of topics, including public school education, holistic education, the role of ethnicity, gender and class on academic achievements, adult education, pre-school and primary school education, college and university education, child development, distance learning, politics and policy in education, teacher education, and curriculum.

To help you get started with brainstorming for education topic ideas, we have developed a list of the latest topics that can be used for writing your education dissertation.

These topics have been developed by PhD-qualified writers of our team , so you can trust to use these topics for drafting your dissertation.

Here is our selection of education topics we think can help you develop a truly valuable dissertation.

Topic 1: Investigating the impact of Covid-19 on the learning experience of the students

Topic 2: an analysis of the impact of classroom interaction and participation on the personality development and confidence of the students., topic 3: the potential use of virtual reality for educational assessment of the students., topic 4: an evaluation of the impact of the rising cost of academic education on the lower-income background students in the uk., topic 5: an investigation into the impact of interactions among students of multiple ethnicities on the cross-cultural communication and behaviour of the pupils..

You may also want to start your dissertation by requesting a brief research proposal from our writers on any of these topics, which includes an introduction to the topic, research question , aim and objectives , literature review along with the proposed methodology of research to be conducted. Let us know if you need any help in getting started.

Check our dissertation examples to get an idea of how to structure your dissertation .

Review the full list of dissertation topics for 2022 here.

Research Aim: The research aims to evaluate the impact of Covid-19 on the learning experience of the students.

Objectives:

Research Aim: The aim of the research is to analyse the impact of classroom interaction and participation on the personality development and confidence of the students.

Research Aim: The research aims to analyse the potential use of virtual reality for the educational assessment of students.

Research Aim: The aim of the research is to evaluate the impact of the rising cost of academic education on the lower-income background students in the UK.

Research Aim: The aim of the research is to investigate the impact of interactions among students of multiple ethnicities on the cross-cultural communication and behaviour of the pupils.

Topic 2: The fear of maintaining social distancing in schools

Research Aim: This research aims to evaluate the fear of maintaining social distancing in schools. It will also suggest possible solutions to minimise the fear of parents, educators, and students.

Topic 3: Online Education- Increased screen time or quality education

Research Aim: This research aims to identify whether online education exposes students to increased screen time or quality education.

Topic 4: The emergence of coding courses for young children and their cognitive development and age. A comparative study.

Research Aim: This research aims to identify how far is coding education beneficial for children? What sort of positive and negative consequences are concerned with the future of young children with their access to such kind of advanced technology?

Topic 5: Data science and growing opportunities for data scientists

Research Aim: This research will focus on identifying the emergence of degrees, courses in data science, their importance, and growing opportunities for data scientists. Who can become a data scientist? What is its career scope?

Covid-19 Education Topics

Impacts of coronavirus on education.

Research Aim: This study aims to review the impacts of Coronavirus.

Online educational programs to educate students during COVID-19

Research Aim: The widespread Coronavirus pandemic and the lockdown have disrupted the education of many students, including school, college, and university levels. This study will identify the online programs offered through various platforms, schools, colleges, and universities. It will discuss how students can have access to these courses and how it will benefit them?

Impact of COVID-19 on educational institutes

Research Aim: This study will focus on identifying the impacts of COVID-19 on educational institutes. What steps can be taken to ensure a safe environment for the students and teaching staff?

Role of teachers and professors during the Coronavirus pandemic.

Research Aim: This study will focus on knowing about the contribution of teachers and professors and institutions in providing education. What challenges are they facing? What would be the possible ways to improve the current education system?

The future of education post Coronavirus pandemic.

Research Aim: This study will collect information about the current education methods during a pandemic and predict the future of education after Coronavirus.

Topic C1: How the Coronavirus pandemic is reshaping education?

Research Aim: Coronavirus has offered a stark reminder of the very human nature of schools. Students have leapt into online learning but cannot wait to get back into her building. Being online, I don’t think you really get a true sense of whether a student is really engaged and has proper understanding. This study will aim to understand the extent to which the coronavirus pandemic is reshaping education.

Topic C2: How Coronavirus could affect the well-being of people with intellectual disabilities

Research Aim: We are all feeling more anxious than usual. We may be worried about accessing food and services, going to work, enduring self-isolation, or catching COVID-19. While some anxiety is normal, some of us may be more resilient to changes in our routines and the general uncertainty the world is experiencing. But for the 1.5 million people in the UK with an intellectual disability, these effects may be much greater. This research will aim to establish how Coronavirus could affect the wellbeing of people with intellectual disabilities.

Topic C3: The impact of the 2019–20 Coronavirus pandemic on education

Research Aim: The 2019–20 Coronavirus pandemic has affected educational systems worldwide, leading to the widespread closures of schools and universities. As of 28 March 2020, over 1.7 billion learners were out of school due to school closures in response to COVID-19. According to UNESCO monitoring, over 100 countries have implemented nationwide closures, impacting nearly 90% of the world’s student population. This research will explore the impact of the 2019–20 Coronavirus pandemic on education.

Topic C4: What actions are being taken by universities in response to Coronavirus?

Research Aim: we have seen a growing number of decisions by universities to start implementing social distancing strategies, such as moving to more online delivery of teaching and increased home working by staff. At present, there is no government advice to universities about this. Therefore any operational decision by individual universities must be based on their local circumstances, which vary for various reasons. This research will examine some of the measures we see across the universities in response to the pandemic.

Topic C5: The impact of Coronavirus on international students and the response from universities

Research Aim: This research will explore the impact of Coronavirus on international students and the response from universities.

The Best Education Dissertation Topics

Topic 1: a comparison of wonderlic tests and standardised tests as means to assess academic performance..

Research Aim: Although there are many techniques and methods for assessing academic performance, this research will focus on the comparative analysis of Wonderlic and standardised tests. In the end, the research will conclude which approach would be better in different academic situations.

Topic 2: The theory and practice of educational games as a means to promote better learning.

Research Aim: In recent times, many pieces of research have focused on identifying different learning approaches to provide quality education. This research will analyse the concept of educational games for young children to promote and improvise the learning mechanisms.

Topic 3: The impact of learning ability of a child: A case study of kindergarten students

Research Aim: With the emergence of technological advancements, many organisations, including education institutes, have started embracing innovative technologies. The main purpose of these advancements is to improvise the different ways of education. This research will focus on how the use of smart technology has improved the learning ability of kindergarten students.

Topic 4: Comparing and analysing the teaching approaches and mechanism of privately owned schools and public school: Case of developing countries

Research Aim: Due to the rise of capitalist economies, many institutions have developed unique mechanisms to improve business operations and sales. The same is the case with educational institutes. However, the teaching mechanism and approach for private schools have been more effective than public schools. Therefore, this research will critically analyse the teaching approaches and mechanisms of privately owned schools and public schools and compare and analyse their teaching approaches.

Topic 5: Analysing the current curricular development of K12 students and how it can be linked with current economic issues

Research Aim: It has been found out that the curriculum of the majority of the educational institutes has become obsolete and monotonous. In other words, students are not being taught current affairs and the latest knowledge with respect to technology, etc. Therefore, the main aim of this research will be to analyse the current curricular development of K12 students and how it can be moulded to reflect the true economic conditions and issues of society.

Early Childhood Education Dissertation Topics

Early childhood education in the UK and many other countries refers to any form of education that children between 2 and 6 years obtain. Some early childhood education dissertation topics are listed below:

Topic 6: The effectiveness and implementation of early childhood education curriculum interventions

Research Aim: This research will discuss how effective curriculum interventions have been in early childhood education and how they can be effectively implemented.

Topic 7: Linking theory to practice and back again: The use of collaborative enquiry and video documentation to facilitate critical thinking in preservice teacher education

Research Aim: This research will provide theoretical and practical evidence to establish how collaboration inquiry and video documentation effectively affect critical thinking in preservice education.

Topic 8: Improving early childhood literacy development and English education through the use of multiple media tools

Research Aim: This research will analyse how effective medical tools are in early childhood education.

Topic 9: Supporting emergent literacy at the pre-school level through the use of technology.

Research Aim: This research will present how supportive technology can be for emergent literacy at the pre-school level.

Topic 10: Merging multimodality, technology, and literacy in the era of kindergarten digital storytelling

Research Aim: This research will explore the effectiveness of multimodality, literacy, and technology in today’s era of kindergarten storytelling.

Topic 11: Computer-based reading program with at-risk pre-kindergarten students

Research Aim: This research will discuss how computer-based reading programs are at risk with pre-kindergarten students.

Topic 12: Pre-school educational settings and the nature of children’s leadership

Research Aim: This research will analyse how educational settings in pre-school help develop leadership skills in children.

Topic 13: How urban students’ academic accomplishments can be influenced by a school district’s pre-school education policies

Research Aim: This research will discuss the academic accomplishments of children and how educational policies influence them.

Topic 14: Investigating the relationship between kindergarten achievement and classroom quality

Research Aim: This study will investigate the relationship between kindergarten students’ achievement and education quality.

Topic 15: Creating efficient learning environments to facilitate the process of early childhood education

Research Aim: This research will understand the learning environments that facilitate the process of childhood education.

Elementary Education Dissertation Topics

In the United Kingdom and other developed regions of the world, elementary education is the first level of compulsory education that children between the ages of 6 and 13 years obtain.

Primary or elementary education helps establish history, geography, mathematics, science, and other social sciences. In some countries, basic sexual education is also part of the elementary education curriculum. Some important primary education issues to explore are listed below:

Topic 16: Establishing the factors inhibiting and enhancing elementary school children’s creativity

Research Aim: This research will discuss the factors that help enhance children’s creativity in elementary school.

Topic 17: Developing life skills in elementary school pupils in the United Kingdom (or any other country of your choice)

Research Aim: This research will explore how life skills are developed in elementary school in the UK. (Country can be changed according to your choosing)

Topic 18: Monitoring and evaluating instruction in private elementary schools in China from the perspective of headteachers and teachers.

Topic 19: including children with special educational needs in a mainstream elementary educational institute – a case study of any elementary school.

Research Aim: This research will discuss inclusive education, i.e. including special needs students in elementary school. You are free to choose the school of your choice.

Topic 20: Implementing inclusive education in elementary/primary schools in Australia – The challenges and opportunities

Research Aim: This research will discuss the challenges and opportunities of implementing inclusive education in Australian elementary schools.

Topic 21: Classroom evaluation in England – Teachers’ practices and perceptions in Maths

Research Aim: This research will evaluate a typical classroom in England. It will assess the practices adopted by Math teachers teaching in elementary school.

Topic 22: Integrating outdoor learning activities with elementary curriculum in the United Kingdom

Research Aim: This research will analyse the results of integrating outdoor learning activities with curriculum activities.

Topic 23: Investigating the use of technology in elementary school physical education

Research Aim: This research will investigate and analyse the use of technology in elementary school physical education.

Topic 24: Investigating the impact of the age of information on current courses taught in primary school

Research Aim: This research will investigate the impact of information on courses taught in primary school.

Topic 25: Should primary schools allow their students to study more independently to achieve improved performance?

Research Aim: This research will assess whether elementary school students should be allowed to study independently or not and its impacts.

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Secondary Education Dissertation Topics

Secondary school education primarily covers formal education obtained by pupils between 13 years to 18 years. Secondary education is compulsory in most countries, including the United Kingdom, and it may be taught in the form of Ordinary Levels, Advanced Levels, and SSC and HSC exams.

There is a wide array of research areas to be explored under this field of study, and any of the following research topics could be selected for your education dissertation.

Topic 26: Investigating the impact of teacher education on secondary education in the European Union

Research Aim: This research will investigate how secondary education in the EU is impacted by teacher education.

Topic 27: Investigating the impact of secondary school dual enrolment course participation on pupils’ academic accomplishments

Research Aim: This research will investigate the impact of dual course enrolment and its impact on academic accomplishments in secondary school.

Topic 28: The role of sustainability in learning and teaching in secondary schools to transform the soul of education

Research Aim: This study will explore the role of sustainable learning and teaching in secondary school, and it helps transform the soul of education.

Topic 29: Investigating secondary school teachers’ thinking in a professional development project

Research Aim: This research will analyse the teachers’ thinking with the help of a professional development project.

Topic 30: Betraying the college dream: How student aspirations are undermined by the disconnected post-secondary and K-12 education systems

Research Aim: The post-secondary schooling and K-12 education systems are misaligned. Thus, this research will investigate how this adversely impacts students, and as a result, more and more students are giving up on their college dreams.

Topic 31: Analysing supply & demand in light of the rising cost of secondary education

Research Aim: This research will assess and analyse the rising cost of education and its impact on the supply and demand for education.

Topic 32: To study the use of instructional and information technologies in teacher training in secondary schools and colleges in the United Kingdom

Research Aim: This research will study the use of technologies in teacher training and how it impacts secondary education in the UK.

Topic 33: Should secondary school teachers emphasise today’s demanding issues such as energy conservation, sustainability, and environmental protection?

Research Aim: This research will study whether or not teachers should emphasize current issues like energy preservation, sustainability, and environmental protection.

Topic 34: How can religious and racial tolerance increase among pupils by reintroducing religious education in the secondary schooling system?

Research Aim: This research will explore whether introducing religious education in secondary education help decrease religious and racial intolerance.

Topic 35: To investigate the benefits of teaching business management and entrepreneurship related courses to secondary school students over social science courses?

Research Aim: This research will study the uses and benefits of teaching business management and entrepreneurship at the secondary schooling level. Read More About Secondary Education

Higher Education Dissertation Topics

Higher education or college/university education covers the formal education available to college, undergraduate and postgraduate students. Some interesting higher education dissertation topics are listed below.

Topic 36: International mobility of graduate and undergraduate students of mathematics, engineering, technology and science; Push and Pull Factors

Research Aim: This research will study and analyse the push and pull factors that impact the graduate and undergraduate students’ choice of university.

Topic 37: International graduate students and their decisions to stay or leave the US; The decisive factors

Research Aim: This study will explore the factors that lead students to decide whether they should stay or leave their universities in the US.

Topic 38: Aligning higher education to labour market requirements in the UK

Research Aim: This research will assess whether higher education in the UK should be aligned with the labor market requirements or not.

Topic 39: Internationalisation drivers, obstacles and rationales: A case study of any higher education institute in the UK

Research Aim: This research will analyze the internationalisation drivers, obstacles, and rationales of higher education institutes in the UK.

Topic 40: An investigation into the governance systems of academic planning in both private and public sector higher education institutes

Research Aim: This research will investigate the governance systems of academic planning in both, private and public higher education institutes.

Topic 41: Higher education system: Should all universities follow the same education pattern?

Research Aim: This research will explore if every university should follow the same educational pattern.

Topic 42: Evaluating teaching quality in higher education schools from students’ perspective

Research Aim: This research will evaluate the performance of teachers based on students’ perspectives. Suggestions will be provided as to how it should be improved.

Topic 43: Identify the factors affecting student mobility in Europe – The quality aspect

Research Aim: This research will explore the factors that impact student mobility in Europe.

Topic 44: Assessing and Evaluating the Impact of Hiring, Firing and Retiring Professors in Higher Education System on Students

Research Aim: This research will evaluate the various impacts of hiring, firing and retiring professors in the higher education system on students.

Topic 45: Do university graduates perform better than those who do not obtain formal education but have practical work experience?

Research Aim: This research will evaluate and assess the performance of two sets of students. First, university graduates, second, will be those who have no formal education but have practical work experience. Also Read: Fashion and Culture Dissertation Topics

Teaching Method Dissertation Topics

The role of primary, secondary or higher education teachers is highly important, particularly considering the ever-increasing need to provide a growth-oriented academic environment to students. Some interesting teaching methods dissertation research topics are listed below.

Topic 46: The influence of teaching methods on students’ academic success and achievements

Research Aim: This research will explore the influence of teaching methods on students’ academic success and achievements.

Topic 47: A transactional method to learning and teaching in an English language arts methodologies conference

Research Aim: This study will explore the transactional learning and teaching method in an English language arts methodologies conference.

Topic 48: How the effect of constructivist teaching methods can largely influence the algebraic understanding of primary and secondary school students

Research Aim: This research will understand how constructivist teaching methods affect primary and secondary school students.

Topic 49: Student learning of DNA and the effect of teaching methods

Research Aim: This research will study the impact of various teaching methods on students.

Topic 50: Teaching English through conventional and direct approaches – A qualitative study

Research Aim: This will be a qualitative study that will help assess the teaching of English as a subject through direct and conventional approaches.

Topic 51: Investigating the relationships of teachers’ pedagogical beliefs, knowledge and efficiency: A multimethod approach

Research Aim: This research will investigate the relationship between teacher’s pedagogical beliefs, efficiency, and knowledge.

Topic 52: Exploring the benefits of employing the Socratic methodology as an approach to learning

Research Aim: This research will investigate the benefits of the Socratic method learning approach.

Topic 53: The benefits of introducing mathematics software to higher education mathematics teachers

Research Aim: This study will explore the benefits of introducing mathematics software to higher education math teachers.

Topic 54: The increasing importance of teachers training taking into consideration various threats to students such as weapons and drugs

Research Aim: This research will understand the importance of teachers’ training with respect to threats such as drugs and weapons.

Topic 55: Are the teachers more prone to violence at the hands of their students as compared to the past: How the profession of teaching has evolved over the last twenty years

Research Aim: Purpose: This research will conduct a comparison of the teacher’s profession in the past twenty years and will conclude how it has changed. Read More About: Teaching Methods in the UK

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Education Leadership and Policy Studies Dissertation Topics

The role of leadership, politics, and policies cannot be overlooked. Education leadership and policy studies have two main roots, including organisational theory and political science. This may be an interesting area of research for your educational dissertation.

Topic 56: Implementing educational change in failing middle schools through examination of one’s fundamental leadership procedures and processes

Research Aim: This research will explore the impact of implementing educational change in failing middle schools by examining leadership procedures at the institutes.

Topic 57: Historical background and development of co-curricular transcripts

Research Aim: This research will date back to history and explore how co-curricular transcripts were developed, and will compare them to today’s processes.

Topic 58: Evaluating the self-efficiency of high performing first-generation university students

Research Aim: This research will evaluate the self-efficiency of high performing university students.

Topic 59: The influence of spiritual growth on leadership development of college and university students

Research Aim: This research will explore the influence of spiritual growth on the leadership skills development of university students.

Topic 60: The peril and power of globalisation: The Higher education, the World Bank, and the Global Knowledge Economy

Research Aim: This research will focus on the globalisation aspect of education and will talk about how it has been impacted.

Topic 61: The self-reported impact of instructional coaching on middle school teachers’ practices

Research Aim: This research will investigate the impact of instructional coaching on middle school teachers’ practices.

Topic 62: An investigation into the policies designed to address bullying in schools of the UK: The beliefs, opinions and perceptions of teachers and principals

Research Aim: This research will explore in-depth the policies that are designed to address and eliminate bullying in UK schools.

Topic 63: Investigating the causes of under-representation of black students in advanced placement courses in the USA

Research Aim: This research will explore the racial issues in the educational system of the US, i.e. underrepresentation of black students.

Topic 64: Lecture note-taking skills of adolescents with and without learning disabilities

Research Aim: This research will understand the note-taking skills of adolescents and how they differ with respect to learning.

Topic 65: A qualitative study to evaluate the educational policies in the UK

Research Aim: This study will assess and evaluate the various educational policies in the UK. Read More About: Courses About International Education Leadership And Policy

Adult Education Dissertation Topics

Vocation-based or professional adult education has gained tremendous popularity in the academic world over the last couple of decades. Here is a wide range of research topics within this field of study to base your dissertation on.

Topic 66: Investing social and personal benefits and costs of basic adult education from students’ perspective

Research Aim: This research will investigate the social and personal benefits and costs of basic adult education.

Topic 67: The perception of adult learners regarding their satisfaction with their educational experiences

Research Aim: This research will explore the perception of adult learners regarding their educational experiences.

Topic 68: Use of bounded agency approach to promoting participation in adult education programmes

Research Aim: This research will discuss the bounded agency approach to promote participation in adult education programs.

Topic 69: A psychoanalytic investigation to explore adult teaching and learning theory

Research Aim: This research will conduct a psychoanalytic investigation in order to explore adult teaching and learning.

Topic 70: Comparing perception of adult learners in face to face and online courses

Research Aim: This research will compare the perception of adult learners in online and face to face courses.

Topic 71: Use of Hatcher-Assagioli Synthesis to analyse practices, principles, and goals for community-based adult education

Research Aim: This research will utilise Hatcher Assagioli Synthesis to analyse community-based education practices, principles, and goals.

Topic 72: A review of the UK government spending on adult education over the last two decades

Research Aim: This research will review the UK government spending on adult education for two decades.

Topic 73: The relationship between unemployment and government funding for adult education – A quantitative analysis

Research Aim: This research will explore the relationship between government funding and unemployment for adult education.

Topic 74: The impact of entrepreneurship, wealth building and personal finance-related courses in adult education

Research Aim: This study will study the impact of courses like entrepreneurship, personal finance et. For adult education.

Topic 75: Frequent career changes over working life and the increasing importance of adult education in today’s world

Research Aim: This research will assess the importance of adult education and how it influences students to change their career choices frequently.

Private School Education Dissertation Topics

Private schools have become a large profit-making industry in both the developed and developing world. More and more parents want to send their children to private schools even though the expenses associated with private education are constantly on the rise. Following are some suggestions for your education dissertation research:

Topic 76: Evaluating the effectiveness of management in private schools in the UAE

Research Aim: This research will evaluate the effectiveness of private school management in the UAE.

Topic 77: To study the level of cooperation between home schools, public schools and private schools in the United Kingdom

Research Aim: This research will explore the cooperation level in home schools, private and public schools in the UK.

Topic 78: A qualitative analysis to determine the causes why parents choose to send their children to private schools in south Asian countries

Research Aim: This research will conduct qualitative analysis to determine why parents send their children to private schools in Asia.

Topic 79: Investigating the policies concerning the fee structure of private schools in Shanghai

Research Aim: This research will investigate the various policies that concern the fee structure of private Shanghai schools.

Topic 80: An empirical analysis of the impacts of the universal primary education policies on educational performances in South Asia

Research Aim: This research will conduct an empirical analysis to understand the impact of universal primary education policies on educational performance in the South Asian region.

Topic 81: Use of information technology and teaching tools in private schools in the UK

Research Aim: This research will explore the use of technology in private schools and assess its effectiveness.

Topic 82: Schooling for money – The impact of the profit motive on Swiss educational reform

Research Aim: This research will study the Swiss educational reform and its impact on the system.

Topic 83: Challenges and experiences of children with disabilities in private schools of India

Research Aim: This research will evaluate the challenges and experiences of children with disabilities in Indian schools.

Topic 84: Why are private school students considered to have the edge over public schools – A qualitative study

Research Aim: This will be a qualitative study on why private school students are preferred over public school students.

Topic 85: Emphasis on personality formation and character in private schools – Are private school students more competitive than public school students?

Research Aim: This research will study the personality formation and character building of private school students. Read More About Private School Fee Increase for First Time.

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Public School Education Dissertation Topics

Most schools in the developed world are publicly funded, offering elementary, secondary, and higher education. There is a wide array of topics of research under this field of study that can be explored. Some of them are suggested below:

Exploring the Funding of Public Schools – How they can be improved. This research will explore the ways through which public schools are funded and will study what can be done to improve them.

Topic 86: Investigating the impact of teacher leadership in public schools in the UK

Research Aim: This research will study the impact of teacher leadership in UK public schools.

Topic 87: Is it true that public schools are better able to prepare their students to face the challenges of the real world as compared to the private schools

Research Aim: This research will explore a common misconception that public school students are better prepared to face real-world challenges than private school students.

Topic 88: Can publicly-funded religious schools help to counter radicalisation and terrorism?

Research Aim: This study will explore an important topic, i.e. can terrorism and radicalisation be countered with public funding of schools.

Topic 89: Encouraging values and morals in the younger generation by reintroducing religious education in public schools in the UK

Research Aim: This research will study how reintroducing religious education help encourage values and morals in the younger generation in the UK.

Topic 90: Healthy eating habits and the role of public schools offering courses such as meal choice, cooking and home economics

Research Aim: This research will explore the benefits of cooking and home economic courses and promote healthy eating.

Topic 91: How public school students can be encouraged to participate in sporting activities?

Research Aim: This research will assess how public school students can be encouraged to participate in sporting activities.

Topic 92: The perception of special education administrators on the use of paraprofessionals in the education of students with disabilities

Topic 93: the perception of special education administrators on the use of paraprofessionals in the education of students with disabilities.

Research Aim: This research will discuss special education administrators and how they help offer quality education to disabled students.

Topic 94: Educating students with disabilities and the beliefs of public school principals

Research Aim: This research will explore the beliefs of public school principals and how these beliefs help offer quality education to disabled students.

Topic 95: Advanced teaching tools in public school classrooms – How they Help Improve Quality Education

Research Aim: This research will explore how quality education is provided by implementing innovative technology in classrooms.

Home Schooling Dissertation Topics

Homeschooling is a highly growing educational phenomenon in developed countries. Any form of education that children obtain within their home setting under the supervision of their parents/adults is classified as homeschooling. Some interesting home school dissertation topics are suggested below:

Topic 96: A qualitative study to understand the significance of the role of information technology in homeschooling

Research Aim: This research will assess the importance of information technology for homeschooling through qualitative research.

Topic 97: The advantages and disadvantages of home schooling – Do home children perform with the top private and public school students?

Research Aim: This research will assess the pros and cons of home schooling. It will also assess the performance of home schooled students as compared to private and public school students.

Topic 98: A qualitative analysis on socialisation and academic accomplishments among home schooled university students

Research Aim: This research will be a qualitative analysis with respect to socialization and academic accomplishments with respect to home schooled university students.

Topic 99: Factors motivating students to choose home schooling over conventional schooling systems

Research Aim: This study will explore the factors that motivate students to opt for homeschooling over the conventional schooling system.

Topic 100: A qualitative study to understand parental motivation to home schooling

Research Aim: This will be a qualitative study to assess the parental motivation to home school their children.

Topic 101: Are partnerships available in homeschooling? Exploring their Effectiveness

Research Aim: This research will explore whether partnerships are available in homeschooling or not and how beneficial do they prove to be.

Topic 102: A qualitative analysis to understand the educational beliefs of home schooled pupils and their parents

Research Aim: This research will conduct a qualitative analysis to assess the educational beliefs of homeschooled students and their parents.

Topic 103: A qualitative analysis on the relationship between financial literacy and homeschooling

Research Aim: This research will assess whether there is a relationship between homeschooling and financial literacy or not.

Topic 104: The duties and responsibilities of parents concerning the homeschooling of their children

Research Aim: This research will explore the duties and responsibilities of parents with respect to the homeschooling of their children.

Topic 105: Do Homeschool Children Develop Personalities and Characters like Private and Public Schooled Children?

Research Aim: This research will explore whether homeschooled children build strong character and confident personalities just like private and public schooled students or not.

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As a student of education looking to get good grades, it is essential to develop new ideas and experiment with existing education theories – i.e., to add value and interest to your research topic.

The field of education is vast and interrelated with so many other academic disciplines. That is why creating an education dissertation topic that is particular, sound, and actually solves a practical problem that may be rampant in the field is imperative.

We can’t stress how important it is to develop a logical research topic; it is the basis of your entire research. There are several significant downfalls to getting your topic wrong; your supervisor may not be interested in working on it, the topic has no academic creditability, the research may not make logical sense, and there is a possibility that the study is not viable.

This impacts your time and efforts in writing your dissertation , as you may end up in the cycle of rejection at the very initial stage of the dissertation. That is why we recommend reviewing existing research to develop a topic, taking advice from your supervisor, and even asking for help in this particular stage of your dissertation.

While developing a research topic, keeping our advice in mind will allow you to pick one of the best education dissertation topics that fulfil your requirement of writing a research paper and add to the body of knowledge.

Therefore, it is recommended that when finalizing your dissertation topic, you read recently published literature to identify gaps in the research that you may help fill.

Remember- dissertation topics need to be unique, solve an identified problem, be logical, and be practically implemented. Take a look at some of our sample education dissertation topics to get an idea for your own dissertation.

How to Structure your Education Dissertation

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202 Math Research Topics: List To Vary Your Ideas

$202 Math Research Topics$

Mathematics is an exceptional field of study dealing primarily with numbers. It also deals with structures, formulas, shapes, spaces, and quantities of where they are contained.

Maths encompasses different types of computations that are applied in the real world.

Math requires a lot of analysis. This is why there are different types of maths. They all encompass different subjects and deal with different things. What are the types of maths?

Arithmetic This is perhaps the commonest type or branch of maths. It is one of the oldest and it encompasses basic numbers operations. These are addition, subtraction, multiplication, and divisions; in some schools, the short word for it is BODMAS. This is known as the Bracket of Division, Multiplication, Addition, and Subtraction. Algebra This is where unknown quantities are represented by alphabets and used along with numbers. The letters these unknown quantities are represented by are usually A, B, X, and Y, and they could also be symbols. Geometry This is considered one of the practical branches of maths as it examines sizes, shapes, figures, and the features of these entities. The most common parts of geometry are lines, points, solids, surfaces, and angles.

There are many other types but the above are the most popular. Others are trigonometry, topology, mathematical analysis, calculus, probability, statistics, and a few others.

As many students find it hard to develop maths research topics on their own, this is a chance for you. It’s okay to be worked up when you can’t find undergraduate math research topics that fit your project, essay or paper choices. This article will provide custom maths education research topics for your use. Before that, how do you structure your math essay or paper?

How to Structure Your Math Essay or Paper

Structuring your essay or paper may require that you’ve been reading critical math journals. Reading them could have made it easy to understand how to structure your paper. However, you don’t have to worry if you haven’t. Structuring your paper as expected is an essential part of writing and you’ll know about it in this section. Before you learn that, how do you choose a topic?

Choosing a Topic to Discuss

One of the difficult yet significant parts of any math essay or paper is choosing your topic. This is because you need to solve a problem or engage in a subject that has got less attention. You also need to understand the background to the subject you want to discuss as you can’t write blindly.

You must also be able to articulate your thoughts well as you must show visible knowledge before you commence the research and writing. How do you go about this? You can consider reading existing research. You can even take notes during classes to see the areas you think more work needs to be done.

After choosing your topic, conduct your research to see if you can investigate the sphere. If you can, you need to structure your research thus:

The Background This includes the discussion on what the essay is about. Depending on what you’re writing about, you need to discuss the primary concepts, including the history of some terms, where essential, in this section. This section is more like general information about the subject you want to discuss with your paper. This helps your readers familiarize themselves with your intended discussion. The Introduction This is where the main ideas behind your essays (and the solutions you hope to proffer) are tended to the readers. This is where you also explain the symbols you’ll use and the principles which are required in your essay. Aside from this, you need to state the basic issues, the solutions you could offer, the laws which are essential to discuss to make your work comprehensible. The Main Body This is where you elaborate on your findings. You need to state the research problem, the formulas, the theories you’ll use in tackling the problem, and many other things. You also need to introduce different sections of maths into the main body which is divided by paragraphs and/or chapters as well as mathematical analysis where needed. Implications This is the last part of your essay or paper. This is where you share the insights of your research with your readers. You offer short explanations of the things you have discussed. If you have treated a subject in applied mathematics, this is where you give summaries of how math is connected to human life and the strategic importance of these to people.

By adhering to this structure, you would have crafted the best rated and high-quality maths paper. Furthermore, remember you always have an option to get help with dissertations and save your time. Since it is sometimes challenging to choose cool maths topics to research on your own, these are some for you:

Research Topics in Math

Math is a broad subject. There is a study of the history of math as well as its influence in education, amongst many other sub-sections. If you’d like to create stunning research, you may choose to discuss any of these research topics in math to fulfill one of your academic requirements:

Undergraduate Math Research Topics

As an undergraduate, you may also have a difficult time wrapping your head around math research topics. You may need to offer both practical and theoretical assessments while writing your paper or essay. The following are undergraduate math research topics:

Math Research Topics for High School Students

As a high school student writing a research paper, one way to get high grades is to write what you know. If you know any math research paper topics for high school, they are the topics you should pick. You can consider:

Interesting Math Research Topics

Writing a mathematical essay may seem complex to you if you can’t find simple topics to write about. There are many easy topics which are also general in maths. If you want to choose a relaxing topic for your math essay or paper, you can write about the following:

Cool Math Topics to Research

As a student of any level, you may love to create math topics that are not exactly complex. These are topics that lean on the history of maths, math education research topics, and others. Consider these math research topics for college students for your next essay or paper:

Math Research Topics for Middle School

It’s okay to be worried about math topics for your research as a middle school student. There are still different unique topics that are rebranded from existing ones. You can find some of the right math research paper topics for you here:

Applied Math Research Topics

Applied math is a branch which deals with the application of mathematical methods in real life. These are manifested by applications in finance, physics, engineering, biology, medicine, and others. Through specialized knowledge, applied math is made possible. These are some topics for you in this area:

Math Research Topics for College Students

As college students, you are at a critical level. You need maths topics for your essays and paper. You may also need them to prepare for your exams. These are some math research topics for you:

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Mathematics PhD theses

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

2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

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. .

What Does a PhD in Maths Involve?

Maths is a vast subject, both in breadth and in depth. As such, there’s a significant number of different areas you can research as a math student. These areas usually fall into one of three categories: pure mathematics, applied mathematics or statistics. Some examples of topics you can research are:

Besides this, because maths focuses on addressing interdisciplinary real-world problems, you may work and collaborate with other STEM researchers. For example, your research topic may relate to:

What you do day-to-day will largely depend on your specific research topic. However, you’ll likely:

Browse PhD Opportunities in Mathematics

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The average programme duration for a mathematics PhD in the UK is 3 to 4 years for a full-time studying. Although not all universities offer part-time maths PhD programmes, those that do have a typical programme duration of 5 to 7 years.

Again, although the exact arrangement will depend on the university, most maths doctorates will require you to first register for an MPhil . At the end of your first year, your supervisor will assess your progress to decide whether you should be registered for a PhD.

Additional Learning Modules

Some Mathematics departments will require you to enrol on to taught modules as part of your programme. These are to help improve your knowledge and understanding of broader subjects within your field, for example, Fourier Analysis, Differential Geometry and Riemann Surfaces. Even if taught modules aren’t compulsory in several universities, your supervisor will still encourage you to attend them for your development.

Most UK universities will also have access to specialised mathematical training courses. The most common of these include Pure Mathematics courses hosted by Mathematics Access Grid Conferencing ( MAGIC ) and London Taught Course Centre ( LTCC ) and Statistics courses hosted by Academy for PhD Training in Statistics ( APTS ).

What Are the Typical Entry Requirements for A PhD in Maths?

In the UK, the typical entry requirements for a Maths PhD is an upper second-class (2:1) Master’s degree (or international equivalent) in Mathematics or Statistics [1] .

However, there is some variation on this. From writing, the lowest entry requirement is an upper second-class (2:1) Bachelor’s degree in any math-related subject. The highest entry requirement is a first-class (1st) honours Master’s degree in a Mathematics or Statistics degree only.

It’s worth noting if you’re applying to a position which comes with funding provided directly by the Department, the entry requirements will usually be on the higher side because of their competitiveness.

In terms of English Language requirements, most mathematics departments require at least an overall IELTS (International English Language Testing System) score of 6.5, with no less than 6.0 in each individual subtest.

Tips to Consider when Making Your Application

When applying to any mathematics PhD, you’ll be expected to have a good understanding of both your subject field and the specific research topic you are applying to. To help show this, it’s advisable that you demonstrate recent engagement in your research topic. This could be by describing the significance of a research paper you recently read and outlining which parts interested you the most, and why. Additionally, you can discuss a recent mathematics event you attended and suggest ways in how what you learnt might apply to your research topic.

As with most STEM PhDs, most maths PhD professors prefer you to discuss your application with them directly before putting in a formal application. The benefits of this is two folds. First, you’ll get more information on what their department has to offer. Second, the supervisor can better discover your interest in the project and gauge whether you’d be a suitable candidate. Therefore, we encourage you to contact potential supervisors for positions you’re interested in before making any formal applications.

How Much Does a Maths PhD Typically Cost?

The typical tuition fee for a PhD in Maths in the UK is £4,407 per year for UK/EU students and £20,230 per year for international students. This, alongside the range in tuition fees you can expect, is summarised below:

Note: The above tuition fees are based on 12 UK Universities [1] for 2020/21 Mathematic PhD positions. The typical fee has been taken as the median value.

In addition to the above, it’s not unheard of for research students to be charged a bench fee. In case you’re unfamiliar with a bench fee, it’s an annual fee additional to your tuition, which covers the cost of specialist equipment or resources associated with your research. This can include the upkeep of supercomputers you may use, training in specialist analysis software, or travelling to conferences. The exact fee will depend on your specific research topic; however, it should be minimal for most mathematic projects.

What Specific Funding Opportunities Are There for A PhD in Mathematics?

Alongside the usual funding opportunities available to all PhD Research students such as doctoral loans, departmental scholarships, there are a few other sources of funding available to math PhD students. Examples of these include:

You can find more information on these funding sources here: DiscoverPhDs funding guide .

What Specific Skills Do You Gain from Doing a PhD in Mathematics?

A doctorate in Mathematics not only demonstrates your commitment to continuous learning, but it also provides you with highly marketable skills. Besides subject-specific skills, you’ll also gain many transferable skills which will prove useful in almost all industries. A sample of these skills is listed below.

What Jobs Can You Get with A Maths PhD?

Jobs for Maths PhDs - PhD in Mathematics Salary

One of the greatest benefits maths PostDocs will have is the ability to pursue a wide range of career paths. This is because all sciences are built on core principles which, to varying extents, are supported by the core principles of mathematics. As a result, it’s not uncommon to ask students what path they intend to follow after completing their degree and receive entirely different answers. Although not extensive by any means, the most common career paths Math PostDocs take are listed below:

What Are Some of The Typical Employers Who Hire Maths PostDocs?

As mentioned above, there’s a high demand for skilled mathematicians and statisticians across a broad range of sectors. Some typical employers are:

The above is only a small selection of employers. In reality, mathematic PostDocs can work in almost any industry, assuming the role is numerical-based or data-driven.

$Math PhD Employer Logos$

How Much Can You Earn with A PhD in Maths?

As a mathematics PhD PostDoc, your earning potential will mostly depend on your chosen career path. Due to the wide range of options, it’s impossible to provide an arbitrary value for the typical salary you can expect.

However, if you pursue one of the below paths or enter their respective industry, you can roughly expect to earn [3] :

Academic Lecturer

Actuary or Finance

Aerospace or Mechanical Engineering

Data Analyst

Again, we stress that the above are indicative values only. Actual salaries will depend on the specific organisation and position and responsibilities of the individual.

Facts and Statistics About Maths PhD Holders

The below chart provides useful insight into the destination of Math PostDocs after completing their PhD. The most popular career paths from other of highest to lowest is education, information and communication, finance and scientific research, manufacturing and government.

$Percentage of Math PostDocs entering an industry upon graduating$

Note: The above chart is based on ‘UK Higher Education Leavers’ data [2] between 2012/13 and 2016/17 and contains a data size of 200 PostDocs. The data was obtained from the Higher Education Statistics Agency ( HESA ).

Which Noteworthy People Hold a PhD in Maths?

Alan turing.

Alan Turing was a British Mathematician, WW2 code-breaker and arguably the father of computer science. Alongside his lengthy list of achievements, Turning achieved a PhD in Mathematics at Princeton University, New Jersey. His thesis titled ‘Systems of Logic Based on Ordinals’ focused on the concepts of ordinal logic and relative computing; you can read it online here . To this day, Turning pioneering works continues to play a fundamental role in shaping the development of artificial intelligence (AI).

Ruth Lawrence

Ruth Lawrence is a famous British–Israeli Mathematician well known within the academic community. Lawrence earned her PhD in Mathematics from Oxford University at the young age of 17! Her work focused on algebraic topology and knot theory; you can read her interesting collection of research papers here . Among her many contributions to Maths, her most notable include the representation of the braid groups, more formally known as Lawrence–Krammer representations.

Emmy Noether

Emmy Noether was a German mathematician who received her PhD from the University of Erlangen, Germany. Her research has significantly contributed to both abstract algebra and theoretical physics. Additionally, she proved a groundbreaking theorem important to Albert Einstein’s general theory of relativity. In doing so, her theorem, Noether’s theorem , is regarded as one of the most influential developments in physics.

Other Useful Resources

Institute of Mathematics and its Applications (IMA) – IMA is the UK’s professional body for mathematicians. It contains a wide range of useful information, from the benefits of further education in Maths to details on grants and upcoming events.

Maths Careers – Math Careers is a site associated with IMA that provides a wide range of advice to mathematicians of all ages. It has a section dedicated to undergraduates and graduates and contains a handful of information about progressing into research.

Resources for Graduate Students – Produced by Dr Mak Tomford, this webpage contains an extensive collection of detailed advice for Mathematic PhD students. Although the site uses US terminology in places, don’t let that put you off as this resource will prove incredibly helpful in both applying to and undertaking your PhD.

Student Interviews – Still wondering whether a PhD is for you? If so, our collection of PhD interviews would be a great place to get an insider perspective. We’ve interviewed a wide range of PhD students across the UK to find out what doing a PhD is like, how it’s helped them and what advice they have for other prospective students who may be thinking of applying to one. You can read our insightful collection of interviews here .

[1] Universities used to determine the typical (median) and range of entry requirements and tuition fees for 2020/21 Mathematics PhD positions.

[2] Higher Education Leavers Statistics: UK, 2016/17 – Outcomes by subject studied – https://www.hesa.ac.uk/news/28-06-2018/sfr250-higher-education-leaver-statistics-subjects

[3] Typical salaries have been extracted from a combination of the below resources. It should be noted that although every effort has been made to keep the reported salaries as relevant to Math PostDocs as possible (i.e. filtering for positions which specify a PhD qualification as one of their requirements/preferences), small inaccuracies may exist due to data availability.

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PhD in Mathematics Education

*This program is no longer accepting new students. Please consider our many other areas of study within our PhD program or our EdD in STEM Education . For questions, contact our admissions team at [email protected]*

The PhD in Mathematics Education emphasizes the development of scholarly attainment in the theory, research, and practice of mathematics education. Graduates of this program are prepared to be faculty members in research-focused colleges or universities, researchers in non-academic institutions, or leaders in schools, universities, research facilities or other settings in which mathematics education takes place

Quick Facts

Program Details

From the beginning of the program, you will have the opportunity to work with faculty in research activities. You will develop your own corresponding lines of interest and will pursue them through the dissertation phase and beyond.

Potential areas of work include studying student and teacher learning, particularly in urban settings, with respect to race and other issues of equity.

Topics of study include the following issues:

Prerequisites

There are no specific prerequisites for this degree/certification, but interested students should verify that they fulfill the admissions requirements.

Affiliated Faculty

Career Pathways

Graduates of this program pursue different educational opportunities, including as:

Montclair State University

Mathematics Education (PhD) - Graduate - 2015 University Catalog

Montclair State University's PhD program in Mathematics Education prepares candidates for careers in mathematics education that include:

The program provides candidates with opportunities to obtain expertise in areas such as the teaching of mathematics, educational leadership, and curriculum development. All candidates work with faculty members to conduct research in mathematics education. The program recognizes the influence that teacher leaders have in renewing and strengthening our nation's educational system and the critical importance of strong education programs in our nation's quest for improving our social and political democracy while maintaining its high technological standards.

Initial admission status requires that students meet the minimum admissions criteria. Prospective students must submit the following for consideration:

Note: Mathematics Education was previously known as Mathematics Pedagogy.

Learn more about the Mathematics Education PhD program

MATHEMATICS EDUCATION

Complete 60 semester hours to 67 semester hours including the following 8 requirement(s):

REQUIRED MATHEMATICS EDUCATION COURSES

Complete 5 courses from the following:

REQUIRED EDUCATION COURSES

Complete 3 courses for 9 semester hours:

ELECTIVE MATHEMATICS EDUCATION COURSES

Complete 3 courses for 9 semester hours from the following list.

DEGREE TRACKS

Complete 1 of the following research options:

PRACTITIONER TRACK

Complete 4 requirements for 15 semester hours:

Complete 2 courses for 6 semester hours:

Complete for 3 semester hours.

Complete 1 course for 3 semester hours from the following list.

RESEARCH TRACK

Complete 2 requirements for 22 semester hours:

Complete 3 requirements:

Complete 4 courses for 12 semester hours:

Complete 2 courses for 4 semester hours:

QUALIFYING PORTFOLIO/EXAM/ASSESSMENT

Successfully complete the qualifying portfolio, examination or assessment requirement.

REQUIRED DISSERTATION COURSES

Complete the following 2 requirements:

ADVISEMENT COURSE

Complete for a total of 12 semester hours.

EXTENSION COURSE

After 12 hours of Dissertation Advisement, register for 1 hour of each semester w/in time limit set by Grad School.

ADMISSION TO CANDIDACY

Following completion of pre-dissertation research courses and qualifying exam, you may be admitted to candidacy.

DISSERTATION REQUIREMENT

Complete a dissertation in accordance with Graduate School and doctoral program requirements.

Course Descriptions:

Edfd801: democracy and education (3 hours lecture).

This course will examine the concept of democracy and a range of interrelated issues inherent in the public purposes of schooling in social and political democracies. Students will inquire into the meaning of citizenship in a democracy, and the role of schools in fostering its development and expression. This inquiry will be conducted comparatively. Varying domestic and international socio-cultural and political contexts will be examined. Students will examine various curricular and pedagogical designs and governance structures that can be associated with models of democratic schooling. The moral obligations of pedagogy and stewardship that fall to teachers in the conduct of educating for democratic citizenship will also be examined. Previous course EDCO 801 effective through Spring 2013. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy.

EDFD803: Pedagogy: The Art and Science of Teaching and Learning (3 hours lecture)

This course examines the art and science of teaching and learning in an evolving social and political democracy. It aims at developing an understanding that teaching and learning occur in sociocultural contexts. Themes to be explored include competing views of knowledge and their implications for curriculum construction; current theories of learning and assessment; strategies to ascertain student's prior knowledge and experience; and pedagogical practices that build upon student's cultural capital. The course will examine diverse pedagogical strategies and their relationships to the structure and epistemology of the disciplines. Special attention will be given to the moral dimensions of the teaching-learning process. Previous course EDCO 803 effective through Spring 2013. 3 sh.

EDFD804: Organizational Change, Policy and Leadership (3 hours lecture)

In this course, doctoral students will learn to analyze complex organizational patterns, situations and policies that define and affect diverse educational settings in the US and in other places. Students will examine various models of leadership, theories and research on change models, and the processes of educational policy formation. Students will develop an understanding of their own role as change agents. There will be a field component for this course in which students will conduct research on the development, implementation and/or evaluation of a plan for change in an educational setting. Previous course EDCO 804 effective through Spring 2013. 3 sh.

EDFD820: Qualitative Methods for Educational Research (3 hours lecture)

This course introduces students to the theories and practices of qualitative research. Students develop skills to critically analyze qualitative studies and the various components of research design. They are also introduced to a rich array of qualitative approaches and possibilities in educational research. They develop an understanding of what is involved in designing original research and have hands-on practice with qualitative data gathering. Previous course ELRS 820 effective through Spring 2013. 3 sh.

Prerequisites: Matriculation in a doctoral program at MSU.

EDFD821: Quantitative Methods for Educational Research (3 hours lecture)

This course introduces students to major methodologies and fundamental skills of quantitative research. Students critically examine the features of common research methods, including experimental, quasi-experimental, and non-experimental designs, as well as related sampling techniques. Students study the underlying principles of measurement, focusing on such concepts as validity, reliability, and bias. Students also acquire skills for interpreting basic statistical procedures. Topics include descriptive statistics, introduction to probability and statistical inference, and the presentation and interpretation of statistical data in empirical literature. The course provides students with an opportunity to use statistical computing packages, such as SPSS, to support data analysis and interpretation. Previous course ELRS 821 effective through Spring 2013. 3 sh.

EDFD822: Advanced Methods of Quantitative Inquiry in Education (3 hours lecture)

The second in a sequence of two doctoral courses in quantitative research methods, this course enables students to further examine and apply quantitative research methods and tools. Students learn widely-used statistical procedures that are fundamental for the further study of statistics. They study inferential statistical methods and their applications to research. Topics include simple and multiple regression, one-factor analysis of variance, factorial designs, analysis of covariance, and nonparametric methods. Students have multiple opportunities to use statistical computing packages, such as SPSS, to support data analysis. Students further develop the skills for understanding and evaluating the use of quantitative methods in the research literature. Previous course ELRS 822 effective through Spring 2013. 3 sh.

Prerequisites: EDFD 821.

EDFD823: Advanced Qualitative Research in Education (3 hours lecture)

This is the second in a sequence of two doctoral courses in qualitative research methods, building on students' initial understanding of qualitative research from EDFD 820 Qualitative Methods of Research in Education. This course offers students the opportunity to develop a more in-depth understanding of qualitative research and its application to original research, including dissertations. Students explore the interconnections and congruence between theoretical and conceptual framing, research design, and data analysis and representation. Previous course ELRS 823 effective through Spring 2013. 3 sh.

Prerequisites: EDFD 820.

MATH740: Technological Tools for Education in Mathematics (3 hours lecture)

This course will explore the research literature on technology tools for education in mathematics and science in order to create a richer and more egalitarian learning environment. Classroom practices and state and national science and mathematics standards will be examined in light of research knowledge on technology in education. The scholarly literature on other issues related to technological literacy, such as equity, will be discussed and explored. 3 sh.

Prerequisites: MATH 512 or MATH 513 and matriculation in Ed.D.in Pedagogy or permission of graduate program coordinator.

MATH741: Historical and Multicultural Foundations of Mathematical Thought (3 hours lecture)

This course will trace the historical evolution of major themes and concepts in mathematics and the role and influence of various cultures in the development of these ideas. Multicultural perspectives will survey the impact of non-European cultures, including those of Asia, Africa, the Americas, and the Middle East, on the development of mathematical thought. The course will also trace major curriculum reform movements in the teaching and learning of mathematics throughout the United States during the nineteenth and twentieth centuries and their impact on contemporary school programs. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH742: Mathematical Modeling in the Sciences (3 hours lecture)

The exploration of mathematical models in the sciences and issues related to the teaching and learning of such models. Includes the collection and analysis of data using modern technology. Discussion of curricula that emphasize modeling and current research related to interdisciplinary approaches to teaching mathematics and science. 3 sh.

Prerequisites: Matriculation in Ed.D.in Pedagogy. Permission of graduate program coordinator.

MATH743: Advanced Perspectives on High School Mathematics (3 hours lecture)

The exploration of mathematics content related to the high school curriculum, but developed from an advanced perspective. Emphasis on multiple representations and justification. Topics may include conic sections, rates of change, and combinatorics. Pedagogy will be discussed in relation to students' learning experiences in the course. 3 sh.

MATH744: Special Topics in Mathematics Education (3 hours lecture)

Topics may be selected from areas such as curriculum development, mathematics education policy, cognition in mathematics, comparative education, teacher development, assessment, perspectives on mathematical content, and student development. 3 sh.

Prerequisites: Admission into Ed.D in Math Education and permission of Doctoral Program Director.

MATH745: The Use of Teacher Knowledge in Mathematics Teaching (3 hours lecture)

General and mathematics-specific domains of teacher knowledge are defined, critiqued, compared and contrasted. In addition, they are applied in analyzing and determining the domains' roles in lesson planning, responding to students' questions, addressing students' misconceptions, and assessing student understanding. The research history on teacher knowledge is examined and critiqued with an eye towards understanding the introduction and use of the domains of knowledge being employed by current educators and researchers. The role of these knowledge domains in implementing the NCTM Standards also is examined. Articles on teacher knowledge are discussed and analyzed. These ideas are employed in analyzing classroom or interview videotapes, audiotapes, and transcripts to determine the potential use of teacher knowledge as it is instantiated in more practical situations. 3 sh.

MATH790: Independent Study in Mathematics Education (3 hours lecture)

With the guidance of a member of the doctoral faculty, students investigate topics that are outside the scope of regular course offerings. This allows doctoral candidates the opportunity to explore research topics more deeply. May be repeated for a maximum of 6 semester hours. 3 sh.

Prerequisites: Matriculation in the Ed.D. in Mathematics Pedagogy; permission of graduate program coordinator.

MATH811: Mathematics Education Leadership (3 hours lecture)

Students will gain experience working for systemic change in educational programs and thus become capable of assuming a leadership role for such change. This course is designed to provide a long-term experience with nurturing pedagogy, leadership development, and stewardship of best practices. Candidates will work closely with faculty to develop goals and expectations for specific change in their work settings, where appropriate, then evaluate progress towards these goals. Candidates will conduct field work in this area, including experimental design, implementation, and evaluation of results. The course includes reading, seminars, and portfolio development as well as presentations from visiting faculty and other leaders in mathematics education. 3 sh.

MATH812: Mathematical Modeling for Middle Level & High School Grades (3 hours lecture)

This course will examine mathematical modeling as a process of identifying a problem, determining a mathematical core, working within that core, and reexamining the problem to ascertain what mathematics reveals about the original problem. Specific models related to various areas of mathematics will be explored, developed, and applied in the solution of contemporary problems, and the models will serve as unifying structures in the secondary curriculum. 3 sh.

MATH813: Geometry for Middle and High School Grades (3 hours lecture)

This course discusses specific topics from geometry, their impact on the changing geometry curriculum in the schools, their application through technology, and their connection to other areas within and outside mathematics. Examples include dimension, scaling, measurement, and fractal dimension, with their use as unifying themes that can be studied from several points of view, that make use of current visualization technology, and that can be applied across disciplines. Additional topics may be selected from finite and projective geometries, spherical and other non-Euclidean geometries. The roles these topics play in enhancing mathematical thinking and visualization skills, both in these classroom teachers and, ultimately, in the students whom these teachers teach, are emphasized. Classroom materials, activities, and techniques are discussed and developed and concepts explained and explored through various modes, such as hands-on manipulatives, interactive computer software, and graphing calculators. 3 sh.

Prerequisites: A background in undergraduate geometry comparable to MATH 350 and matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH814: Algebra and Analysis for Middle and High School Grades (3 hours lecture)

Topics from algebra and analysis will be used to explore and unify a variety of topics in the changing school curriculum. For example, the topic of linear transformations can be used to motivate the connection between geometric transformations and the related algebra. Topics will be selected to provide students with the tools to approach algebra numerically with middle school students as well as more abstractly with advanced senior high school students. Other topics, such as the Fundamental Theorem of Algebra, complex numbers, sequences, and series will be used to bridge the gap between algebra and topics in analysis. Then topics from analysis will be used to build a firm foundation on the structure of various number systems such as real and complex numbers. Part of the course will be axiomatic and theoretical development in the classical sense. Applications of these theoretical results to the school mathematics curriculum and to other academic fields, such as physics, will be explored. 3 sh.

Prerequisites: MATH 425 and MATH 431 and matriculation in Ed.D.in Pedagogy, permission of graduate program coordinator.

MATH815: Critical Thinking and Cognitive Development in Mathematics (3 hours lecture)

Cognitive development and the application of critical thinking and problem solving strategies to the teaching and learning of mathematics. Mathematical models as unifying structures will be examined together with investigations into methods of acquiring mathematical knowledge and the nature of mathematical proof. Contemporary learning theories in mathematics will be surveyed and applied in specific classroom situations. 3 sh.

MATH816: Mathematics Curricula (3 hours lecture)

This course will engage graduate students in important questions regarding the development, use, and adoption of mathematics curricula in the United States and elsewhere. Students will explore theoretical and historical perspectives on the definition and role of curricula and examine research on the use and impact of various mathematics curricula, including those currently being used in mathematics classrooms. They will investigate the impact of advancing technology on conceptions and delivery of mathematics curricula and explore implications for the future of mathematics education. They will also engage in a critical analysis of a particular mathematics curriculum or collection of curricula. 3 sh.

Prerequisites: Acceptance into the Ed.D program.

MATH821: Mathematics Education in Higher Education (3 hours lecture)

Discussion of issues related to mathematics education at four-year colleges, spanning introductory mathematics courses to graduate-level teacher education and research courses. Research and policy initiatives related to collegiate mathematics education will be explored. The implication of these initiatives on teaching and learning at the college-level, as well on the role of faculty, will be discussed. This course is a prerequisite for MATH 822. 3 sh.

Prerequisites: EDFD 820 or EDFD 821.

MATH822: Mathematics Education in Higher Education Practicum (1 hour lecture)

Students will work with a faculty member on the planning, execution, and assessment of an undergraduate course in mathematics education. The course will prepare students for teaching mathematics education at two- and four-year universities. 1 sh.

Prerequisites: MATH 821.

MATH825: Research in Mathematics Education (3 hours lecture)

This course will examine the nature of research in mathematics education, its designs and methodologies, and its impact on school curricula. Research studies in cognitive development, curriculum and instruction, the teaching-learning process, language and communication in mathematics classrooms, and critical contemporary issues in mathematics education will be examined, analyzed, and discussed from the perspective of the classroom teacher. 3 sh.

Prerequisites: Matriculation in Ed.D.in Education with a concentration in Pedagogy (Philosophy for Children) or Ed.D.in Mathematics Pedagogy, permission of graduate program coordinator.

MATH830: Dissertation Proposal Seminar (3 hours seminar)

Students will work with their dissertation advisors to develop and refine their dissertation proposals. The seminar is a supplement to the formal dissertation proposal process that is outlined in the handbook. Successful completion of this course does not imply approval of the dissertation proposal. This course will be offered as pass/fail only. Cross listed with Center of Pedagogy EDCO 830 and Educational Foundations EDFD 830. 1 - 3 sh.

Prerequisites: Matriculation in Ed.D.in Education with a concentration in Pedagogy (Philosophy for Children) or Ed.D.in Mathematics Pedagogy; admission to candidacy, permission of graduate program coordinator.

MATH900: Dissertation Advisement

This department requires 12 credits of MATH 900. While enrolled in MATH 900, students will work with their Dissertation Chair and their Dissertation Committee. Credits are reported as IP (In Progress) while the dissertation is being written. At the conclusion of the dissertation defense, a final grade of Pass or Fail will be recorded. 3 - 12 sh.

Prerequisites: Matriculation in the Ed.D. Mathematics Education (MTHE) Program; Advancement to Candidacy.

MATH901: Dissertation Extension

Once students have acquired 12 credits of MATH 900 Dissertation Advisement, they must enroll in 1 credit of MATH 901 in every semester in which they intend to work on the dissertation, up to and including the semester of the defense. Credits are reported as IP (In Progress) while the dissertation is being written. At the conclusion of the dissertation defense, a final grade of Pass or Fail will be recorded. MATH 901 may be repeated until the time limitation for completion of the doctoral program as specified in the Doctoral Policy Manual has been reached. Cross listed with EDCO 901. 1 sh.

Prerequisites: 12 credits of dissertation advisement.

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Dissertations

Most Harvard PhD dissertations from 2012 forward are available online in DASH , Harvard’s central open-access repository and are linked below. Many older dissertations can be found on ProQuest Dissertation and Theses Search which many university libraries subscribe to.

$NYU Courant Department of Mathematics$

Ph.D. Program in Mathematics

Degree requirements.

A candidate for the Ph.D. degree in mathematics must fulfill a number of different departmental requirements .

NYU Shanghai Ph.D. Track

The Ph.D. program also offers students the opportunity to pursue their study and research with Mathematics faculty based at NYU Shanghai. With this opportunity, students generally complete their coursework in New York City before moving full-time to Shanghai for their dissertation research. For more information, please visit the NYU Shanghai Ph.D. page .

Sample course schedules (Years 1 and 2) for students with a primary interest in:

Applied Math (Math Biology, Scientific Computing, Physical Applied Math, etc.)

Additional information for students interested in studying applied math is available here .

Probability

PDE/Analysis

The Written Comprehensive Examination

The examination tests the basic knowledge required for any serious mathematical study. It consists of the three following sections: Advanced Calculus, Complex Variables, and Linear Algebra. The examination is given on three consecutive days, twice a year, in early September and early January. Each section is allotted three hours and is written at the level of a good undergraduate course. Samples of previous examinations are available in the departmental office. Cooperative preparation is encouraged, as it is for all examinations. In the fall term, the Department offers a workshop, taught by an advanced Teaching Assistant, to help students prepare for the written examinations.

Entering students with a solid preparation are encouraged to consider taking the examination in their first year of full-time study. All students must take the examinations in order to be allowed to register for coursework beyond 36 points of credit; it is recommended that students attempt to take the examinations well before this deadline. Graduate Assistants are required to take the examinations during their first year of study.

For further details, consult the page on the written comprehensive exams .

The Oral Preliminary Examination

This examination is usually (but not invariably) taken after two years of full-time study. The purpose of the examination is to determine if the candidate has acquired sufficient mathematical knowledge and maturity to commence a dissertation. The phrase "mathematical knowledge" is intended to convey rather broad acquaintance with the basic facts of mathematical life, with emphasis on a good understanding of the simplest interesting examples. In particular, highly technical or abstract material is inappropriate, as is the rote reproduction of information. What the examiners look for is something a little different and less easy to quantify. It is conveyed in part by the word "maturity." This means some idea of how mathematics hangs together; the ability to think a little on one's feet; some appreciation of what is natural and important, and what is artificial. The point is that the ability to do successful research depends on more than formal learning, and it is part of the examiners' task to assess these less tangible aspects of the candidate's preparation.

The orals are comprised of a general section and a special section, each lasting one hour, and are conducted by two different panels of three faculty members. The examination takes place three times a year: fall, mid-winter and late spring. Cooperative preparation of often helpful and is encouraged. The general section consists of five topics, one of which may be chosen freely. The other four topics are determined by field of interest, but often turn out to be standard: complex variables, real variables, ordinary differential equations, and partial differential equations. Here, the level of knowledge that is expected is equivalent to that of a one or two term course of the kind Courant normally presents. A brochure containing the most common questions on the general oral examination, edited by Courant students, is available at the Department Office.

The special section is usually devoted to a single topic at a more advanced level and extent of knowledge. The precise content is negotiated with the candidate's faculty advisor. Normally, the chosen topic will have a direct bearing on the candidate's Ph.D. dissertation.

All students must take the oral examinations in order to be allowed to register for coursework beyond 60 points of credit. It is recommended that students attempt the examinations well before this deadline.

The Dissertation Defense

The oral defense is the final examination on the student's dissertation. The defense is conducted by a panel of five faculty members (including the student's advisor) and generally lasts one to two hours. The candidate presents his/her work to a mixed audience, some expert in the student's topic, some not. Often, this presentation is followed by a question-and-answer period and mutual discussion of related material and directions for future work.

Summer Internships and Employment

The Department encourages Ph.D. students at any stage of their studies, including the very early stage, to seek summer employment opportunities at various government and industry facilities. In the past few years, Courant students have taken summer internships at the National Institute of Health, Los Alamos National Laboratory, Woods Hole Oceanographic Institution, Lawrence Livermore National Laboratory and NASA, as well as Wall Street firms. Such opportunities can greatly expand students' understanding of the mathematical sciences, offer them possible areas of interest for thesis research, and enhance their career options. The Director of Graduate Studies and members of the faculty (and in particular the students' academic advisors) can assist students in finding appropriate summer employment.

Mentoring and Grievance Policy

For detailed information, consult the page on the Mentoring and Grievance Policy .

Visiting Doctoral Students

Information about spending a term at the Courant Institute's Department of Mathematics as a visiting doctoral student is available on the Visitor Programs page.

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Over 150 Dissertation Topics Ideas in 18 Branches of Science

Updated 01 Feb 2023

Choosing a relevant dissertation topic means taking the first step towards obtaining an academic degree. Let's talk about how to do it right. Also, as a bonus, we have prepared ten dissertation topics for each popular scientific discipline.

How to Choose a Dissertation Topic?

Let’s find out how to choose a dissertation topic. You should understand that the dissertation has:

Naturally, this imposes some restrictions on the choice of dissertation topics. Get a degree faster by hiring experts to " write my dissertation in no time".

Where to find ideas for my dissertation topic?

There are several options where you can find a topic for your dissertation:

What makes a good dissertation title?

The right choice of the dissertation title is important. So, when choosing a topic, you should take into account its relevance and the novelty of the formulation of a scientific problem. The relevance of the topic is determined in this case by two parameters - the need for its study by science and its applicability in practice.

Dissertation Topics in Education

Education is one of the fastest-growing areas for scientific research. Here are ten good topics for a dissertation.

Dissertation topics in Higher Education

Dissertation Topics in Educational Leadership

If earlier practical workers in the field of education waited for scientists and central authorities to develop new methods, today, due to the rapid development of this area, they themselves create innovative models of pedagogical (educational) systems. Here are ten topical topics for a dissertation in the discipline.

Dissertation Topics in Business

Economic disciplines present tremendous opportunities for choosing a dissertation topic. Here are ten of them.

Dissertation Topics in Management

The dissertation on management reflects the ability of an applicant for a scientific degree to correctly create ways of effective management in production and find solutions to improve the work of socio-economic mechanisms of different directions. Here are ten topics for this discipline.

Remember, that you can always ask us for dissertation help

Finance Dissertation Ideas

The financial industry is constantly undergoing changes that can be intelligently reflected in your dissertation. Here is a list of ten hot topics.

Thesis Topics in Marketing

Now let's take a look at the next ten marketing topics.

Law Dissertation Topics

The law is gradually changing and is the basis for the development of new topics for PhD theses. The choice is made in the field of lawmaking or changes in law enforcement practice. Below we have prepared ten hot topics.

Psychology Dissertation Topics

Successful defense of a dissertation in psychology will allow you to realize your own potential in the field of research of human mental processes and get a high-paying, prestigious job. Here is a list of ten interesting topics in the discipline.

Dissertation Topics in Nursing

Here’s a list of ten dissertation topics examples in nursing.

History Dissertation Topics

Below we have prepared ten topics on this theoretical discipline.

Computer Science Dissertation Ideas

When choosing a dissertation topic, keep in mind that it is based on physical and mechanical laws that have been studied and proven. The scope for creativity in such disciplines is limited, and it is really difficult to introduce something new. Here is a list of relevant topics for your dissertation.

Human Resources Thesis Ideas

Here is a thesis topic list in the human resources discipline.

Sociology Dissertation Topics

Sociology is a fairly new science, and it opens up opportunities for scientific research. Here are ten dissertation topics for a sociology discipline.

Ecology Dissertation Ideas

Environmental protection is very important these days - due to the constantly growing number of the world's population, the greenhouse effect, environmental pollution, and other problems. Here are ten master-degree topics in this discipline.

Biology Thesis Topics

Biology studies all aspects of life, in particular: structure, functioning, growth, origin, evolution, and distribution of living organisms on Earth. Below we have prepared ten PhD thesis topics on this discipline.

Art Dissertation Titles

Art is one of the general categories of aesthetics, art history, and artistic practice. Let's find out ten dissertation ideas in this discipline.

Architecture Thesis Topics

Architecture is the science of construction, design of buildings, or entire systems of structures that make up the spatial environment necessary for human life and activities. Here are ten thesis topics for this discipline.

Political Science Topics

Political science is the science of a special sphere of people's life associated with power relations, with the state-political organization of society, political institutions, principles, norms, the action of which is designed to ensure the functioning of society, the relationship between people, society and the state. Here are ten master thesis topics for this discipline.

The correct choice of topic is not yet a guarantee of the success of the dissertation, but this is an important stage that determines the further stages of work. Therefore, take the time and effort to find and formulate the topic. And note, that our thesis writing service is always here to help you.

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A dissertation is the final step of your educational path to get a Master’s or Ph.D. degree. It shows all knowledge and skills you acquire to condu...

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Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations

Mathematics and Statistics Theses and Dissertations

Theses/dissertations from 2022 2022.

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

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

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

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

Global Attractors and Random Attractors of Reaction-Diffusion Systems , Junyi Tu

Time Dependent Kernel Density Estimation: A New Parameter Estimation Algorithm, Applications in Time Series Classiﬁcation and Clustering , Xing Wang

On Spectral Properties of Single Layer Potentials , Seyed Zoalroshd

Theses/Dissertations from 2015 2015

Analysis of Rheumatoid Arthritis Data using Logistic Regression and Penalized Approach , Wei Chen

Active Tile Self-assembly and Simulations of Computational Systems , Daria Karpenko

Nearest Neighbor Foreign Exchange Rate Forecasting with Mahalanobis Distance , Vindya Kumari Pathirana

Statistical Learning with Artificial Neural Network Applied to Health and Environmental Data , Taysseer Sharaf

Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3 , Richard Alan Warner

Ensemble Learning Method on Machine Maintenance Data , Xiaochuang Zhao

Theses/Dissertations from 2014 2014

Properties of Graphs Used to Model DNA Recombination , Ryan Arredondo

Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability , Jonathan Burns

On the Classification of Groups Generated by Automata with 4 States over a 2-Letter Alphabet , Louis Caponi

Statistical Analysis, Modeling, and Algorithms for Pharmaceutical and Cancer Systems , Bong-Jin Choi

Topological Data Analysis of Properties of Four-Regular Rigid Vertex Graphs , Grant Mcneil Conine

Trend Analysis and Modeling of Health and Environmental Data: Joinpoint and Functional Approach , Ram C. Kafle

A Maximum Principle in the Engel Group , James Klinedinst

Stochastic Modeling and Analysis of Energy Commodity Spot Price Processes , Olusegun Michael Otunuga

Theses/Dissertations from 2013 2013

Statistical Topics Applied to Pressure and Temperature Readings in the Gulf of Mexico , Malena Kathleen Allison

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PhD Dissertations

In 1909 the department awarded its first PhD to Grace M. Bareis , whose dissertation was directed by Professor Harry W. Kuhn. The department began awarding PhD degrees on a regular basis around 1930, when a formal doctoral program was established as a result of the appointment of Tibor Radó as a professor at our department. To date, the department has awarded over 800 PhD degrees. An average of approximately 15 dissertations per year have been added in recent times. Find below a list of PhD theses completed in our program since 1952. (Additionally, search Ohio State at Math Genealogy , which also includes some theses from other OSU departments.)

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Home > A&S > Math > Math Undergraduate Theses

Mathematics Undergraduate Theses

Theses from 2019 2019.

The Name Tag Problem , Christian Carley

The Hyperreals: Do You Prefer Non-Standard Analysis Over Standard Analysis? , Chloe Munroe

Theses from 2018 2018

A Convolutional Neural Network Model for Species Classification of Camera Trap Images , Annie Casey

Pythagorean Theorem Area Proofs , Rachel Morley

Euclidian Geometry: Proposed Lesson Plans to Teach Throughout a One Semester Course , Joseph Willert

Theses from 2017 2017

An Exploration of the Chromatic Polynomial , Amanda Aydelotte

Complementary Coffee Cups , Brandon Sams

Theses from 2016 2016

Nonlinear Integral Equations and Their Solutions , Caleb Richards

Principles and Analysis of Approximation Techniques , Evan Smith

Theses from 2014 2014

An Introductory Look at Deterministic Chaos , Kenneth Coiteux

A Brief Encounter with Linear Codes , Brent El-Bakri

Axioms of Set Theory and Equivalents of Axiom of Choice , Farighon Abdul Rahim

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Home > FACULTIES > Applied Mathematics > APMATHS-ETD

Applied Mathematics Theses and Dissertations

This collection contains theses and dissertations from the Department of Applied Mathematics, collected from the [email protected] Electronic Thesis and Dissertation Repository

Theses/Dissertations from 2023 2023

Spike-Time Neural Codes and their Implication for Memory , Alexandra Busch

Pythagorean Vectors and Rational Orthonormal Matrices , Aishat Olagunju

Theses/Dissertations from 2022 2022

A Molecular Dynamics Study Of Polymer Chains In Shear Flows and Nanocomposites , Venkat Bala

On the Spatial Modelling of Biological Invasions , Tedi Ramaj

Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models , Yuzhu Ruan

A Theoretical Perspective on Parasite-Host Coevolution with Alternative Modes of Infection , George N. Shillcock

Theses/Dissertations from 2021 2021

Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation , Gianfranco Bino

Mathematical Modelling of Ecological Systems in Patchy Environments , Ao Li

Credit Risk Measurement and Application based on BP Neural Networks , Jingshi Luo

Coevolution of Hosts and Pathogens in the Presence of Multiple Types of Hosts , Evan J. Mitchell

SymPhas: A modular API for phase-field modeling using compile-time symbolic algebra , Steven A. Silber

Population and Evolution Dynamics in Predator-prey Systems with Anti-predation Responses , Yang Wang

Theses/Dissertations from 2020 2020

The journey of a single polymer chain to a nanopore , Navid Afrasiabian

Exploration Of Stock Price Predictability In HFT With An Application In Spoofing Detection , Andrew Day

Multi-Scale Evolution of Virulence of HIV-1 , David W. Dick

Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes. , Nickolas Goncharenko

Phage-Bacteria Interaction and Prophage Sequences in Bacterial Genomes , Amjad Khan

The Effect of the Initial Structure on the System Relaxation Time in Langevin Dynamics , Omid Mozafar

Mathematical modelling of prophage dynamics , Tyler Pattenden

Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra , Leili Rafiee Sevyeri

Abelian Integral Method and its Application , Xianbo Sun

Theses/Dissertations from 2019 2019

Algebraic Companions and Linearizations , Eunice Y. S. Chan

Algorithms for Mappings and Symmetries of Differential Equations , Zahra Mohammadi

Algorithms for Bohemian Matrices , Steven E. Thornton

A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals , Jeet Trivedi

Theses/Dissertations from 2018 2018

Properties and Computation of the Inverse of the Gamma function , Folitse Komla Amenyou

Optimization Studies and Applications: in Retail Gasoline Market , Daero Kim

Models of conflict and voluntary cooperation between individuals in non-egalitarian social groups , Cody Koykka

Investigation of chaos in biological systems , Navaneeth Mohan

Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model , Xiangyu Wang

Ecology and Evolution of Dispersal in Metapopulations , Jingjing Xu

Selected Topics in Quantization and Renormalization of Gauge Fields , Chenguang Zhao

Three Essays on Structural Models , Xinghua Zhou

Theses/Dissertations from 2017 2017

On Honey Bee Colony Dynamics and Disease Transmission , Matthew I. Betti

Simulation of driven elastic spheres in a Newtonian fluid , Shikhar M. Dwivedi

Feasible Computation in Symbolic and Numeric Integration , Robert H.C. Moir

Modelling Walleye Population and Its Cannibalism Effect , Quan Zhou

Theses/Dissertations from 2016 2016

Dynamics of Discs in a Nematic Liquid Crystal , Alena Antipova

Modelling the Impact of Climate Change on the Polar Bear Population in Western Hudson Bay , Nicole Bastow

A comparison of solution methods for Mandelbrot-like polynomials , Eunice Y. S. Chan

A model-based test of the efficacy of a simple rule for predicting adaptive sex allocation , Joshua D. Dunn

Universal Scaling Properties After Quantum Quenches , Damian Andres Galante

Modeling the Mass Function of Stellar Clusters Using the Modified Lognormal Power-Law Probability Distribution Function , Deepakshi Madaan

Bacteria-Phage Models with a Focus on Prophage as a Genetic Reservoir , Alina Nadeem

A Sequence of Symmetric Bézout Matrix Polynomials , Leili Rafiee Sevyeri

Study of Infectious Diseases by Mathematical Models: Predictions and Controls , SM Ashrafur Rahman

The survival probability of beneficial de novo mutations in budding viruses, with an emphasis on influenza A viral dynamics , Jennifer NS Reid

Essays in Market Structure and Liquidity , Adrian J. Walton

Computation of Real Radical Ideals by Semidefinite Programming and Iterative Methods , Fei Wang

Studying Both Direct and Indirect Effects in Predator-Prey Interaction , Xiaoying Wang

Theses/Dissertations from 2015 2015

The Effect of Diversification on the Dynamics of Mobile Genetic Elements in Prokaryotes: The Birth-Death-Diversification Model , Nicole E. Drakos

Algorithms to Compute Characteristic Classes , Martin Helmer

Studies of Contingent Capital Bonds , Jingya Li

Determination of Lie superalgebras of supersymmetries of super differential equations , Xuan Liu

Edge states and quantum Hall phases in graphene , Pavlo Piatkovskyi

Evolution of Mobile Promoters in Prokaryotic Genomes. , Mahnaz Rabbani

Extensions of the Cross-Entropy Method with Applications to Diffusion Processes and Portfolio Losses , Alexandre Scott

Theses/Dissertations from 2014 2014

A Molecular Simulation Study on Micelle Fragmentation and Wetting in Nano-Confined Channels , Mona Habibi

Study of Virus Dynamics by Mathematical Models , Xiulan Lai

Applications of Stochastic Control in Energy Real Options and Market Illiquidity , Christian Maxwell

Options Pricing and Hedging in a Regime-Switching Volatility Model , Melissa A. Mielkie

Optimal Contract Design for Co-development of Companion Diagnostics , Rodney T. Tembo

Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation , Yun Tian

Understanding Recurrent Disease: A Dynamical Systems Approach , Wenjing Zhang

Theses/Dissertations from 2013 2013

Pricing and Hedging Index Options with a Dominant Constituent Stock , Helen Cheyne

On evolution dynamics and strategies in some host-parasite models , Liman Dai

Valuation of the Peterborough Prison Social Impact Bond , Majid Hasan

Sensitivity Analysis of Minimum Variance Portfolios , Xiaohu Ji

Eigenvalue Methods for Interpolation Bases , Piers W. Lawrence

Hybrid Lattice Boltzmann - Molecular Dynamics Simulations With Both Simple and Complex Fluids , Frances E. Mackay

Ecological Constraints and the Evolution of Cooperative Breeding , David McLeod

A single cell based model for cell divisions with spontaneous topology changes , Anna Mkrtchyan

Analysis of Re-advanceable Mortgages , Almas Naseem

Modeling leafhopper populations and their role in transmitting plant diseases. , Ji Ruan

Topological properties of modular networks, with a focus on networks of functional connections in the human brain , Estefania Ruiz Vargas

Computation Sequences for Series and Polynomials , Yiming Zhang

Theses/Dissertations from 2012 2012

A Real Options Valuation of Renewable Energy Projects , Natasha Burke

Approximate methods for dynamic portfolio allocation under transaction costs , Nabeel Butt

Optimal clustering techniques for metagenomic sequencing data , Erik T. Cameron

Phase Field Crystal Approach to the Solidification of Ferromagnetic Materials , Niloufar Faghihi

Molecular Dynamics Simulations of Peptide-Mineral Interactions , Susanna Hug

Molecular Dynamics Studies of Water Flow in Carbon Nanotubes , Alexander D. Marshall

Valuation of Multiple Exercise Options , T. James Marshall

Incomplete Market Models of Carbon Emissions Markets , Walid Mnif

Topics in Field Theory , Alexander Patrushev

Pricing and Trading American Put Options under Sub-Optimal Exercise Policies , William Wei Xing

Further applications of higher-order Markov chains and developments in regime-switching models , Xiaojing Xi

Theses/Dissertations from 2011 2011

Bifurcations and Stability in Models of Infectious Diseases , Bernard S. Chan

Real Options Models in Real Estate , Jin Won Choi

Models, Techniques, and Metrics for Managing Risk in Software Engineering , Andriy Miranskyy

Thermodynamics, Hydrodynamics and Critical Phenomena in Strongly Coupled Gauge Theories , Christopher Pagnutti

Molecular Dynamics Studies of Interactions of Phospholipid Membranes with Dehydroergosterol and Penetrating Peptides , Amir Mohsen Pourmousa Abkenar

Socially Responsible Investment in a Changing World , Desheng Wu

Study of Malaria Transmission Dynamics by Mathematical Models , Yanyu Xiao

Theses/Dissertations from 2010 2010

Simulation-based Valuation and Counterparty Exposure Estimation of American Options , Kin Hung Kan

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Home > USC_COLUMBIA > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations

Mathematics Theses and Dissertations

Theses/dissertations from 2022 2022.

Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings

The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha

Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay

Tangled up in Tanglegrams , Drew Joseph Scalzo

Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith

Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson

Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock

Theses/Dissertations from 2021 2021

Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington

Polynomials, Primes and the PTE Problem , Joseph C. Foster

Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat

A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara

Trimming Complexes , Keller VandeBogert

Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang

Theses/Dissertations from 2020 2020

An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea

Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice

Rationality Questions and the Derived Category , Alicia Lamarche

Counting Number Fields by Discriminant , Harsh Mehta

Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih

Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick

Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen

Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang

An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan

Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng

Theses/Dissertations from 2019 2019

Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood

On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark

A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar

Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes

Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell

Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin

Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu

An Implementation of the Kapustin-Li Formula , Jessica Otis

A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer

A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig

Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch

On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann

An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm

Dynamical Entropy of Quantum Random Walks , Duncan Wright

Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang

Theses/Dissertations from 2018 2018

Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed

Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai

Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran

Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman

A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna

Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard

Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson

Graph Homomorphisms and Vector Colorings , Michael Robert Levet

Local Rings and Golod Homomorphisms , Thomas Schnibben

States and the Numerical Range in the Regular Algebra , James Patrick Sweeney

Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao

Theses/Dissertations from 2017 2017

On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins

Subdivision of Measures of Squares , Dylan Bates

Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev

Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov

Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey

Nonequispaced Fast Fourier Transform , David Hughey

Deep Learning: An Exposition , Ryan Kingery

A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis

Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders

Theses/Dissertations from 2016 2016

On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein

Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu

Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky

On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich

Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short

Chebyshev Inversion of the Radon Transform , Jared Cameron Szi

Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang

Theses/Dissertations from 2015 2015

Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung

The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton

Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner

Avoiding Doubled Words in Strings of Symbols , Michael Lane

A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin

Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh

Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith

Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang

Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao

Theses/Dissertations from 2014 2014

The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard

Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn

Independence Polynomials , Gregory Matthew Ferrin

Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston

On the Group of Transvections of ADE-Diagrams , Marvin Jones

Fake Real Quadratic Orders , Richard Michael Oh

Theses/Dissertations from 2013 2013

Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown

Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole

Deducing Vertex Weights From Empirical Occupation Times , David Collins

Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler

Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove

Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy

Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington

The Weierstrass Approximation Theorem , LaRita Barnwell Hipp

The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations , Meshack K. Kiplagat

Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr

Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations , Rosalia Tatano

Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials , Daniel White

Theses/Dissertations from 2012 2012

A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices , Jonathan Brett Barwick

Mathematical Modeling and Computational Studies for Cell Signaling , Kanadpriya Basu

Fast Solution Methods For Fractional Diffusion Equations and Their Applications , Treena Basu

Greedy Algorithm and M-Term Trigonometric Approximation: A Survey , Grace Elizabeth Brown

Phase-Field Model For Heterogeneous Biofilm-Solvent Interaction and 3-D Numerical Simulation by GPUs , Chen Chen

A Fast Preconditioner For Helmholtz Equation , XIAODI DENG

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Math education thesis topics

Theses and Dissertations (Mathematics Education) In Mathematics, the topic of fractions is one of the most difficult topics for both teachers and

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Mathematics Education Theses and Dissertations
Mathematics Education Theses and Dissertations Theses/Dissertations from 2022 PDF Understanding College Students' Use of Written Feedback in Mathematics, Erin Loraine Carroll PDF Identity Work to Teach Mathematics for Social Justice, Navy B. Dixon PDF
PhD Mathematics Education
It is recommended that candidates in the PhD program acquire mathematics teaching experience at both the K-12 and the college level. At a minimum, candidates must demonstrate competency in teaching mathematics for at least one of these two levels. 5: The use of technologies in teaching mathematics
Mathematics Education PhD
Certification examinations test the student's knowledge of current research and theory in mathematics education and mathematics content. Examinations are offered once in the fall, spring, and summer terms. Courses recommended as preparation for the examinations include MSTM 4019/4020, MSTM 6037, and 6000- level mathematics content courses.
181 Math Research Topics
Here are some of our most interesting computability theory topics to research: What is a multiplication table? Analyze the Scholz conjecture Explain exponentiating by squaring Analyze the Myhill-Nerode theorem What is a tree automaton? Compare and contrast the Pushdown automaton and the Büchi automaton Discuss the Markov algorithm
Mathematics Theses, Projects, and Dissertations
Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity, Nitish Mittal PDF The Kauffman Bracket and Genus of Alternating Links, Bryan M. Nguyen PDF Probabilistic Methods In Information Theory, Erik W. Pachas PDF THINKING POKER THROUGH GAME THEORY, Damian Palafox PDF
110+ Strong Education Research Topics & Ideas In 2022
Some of such research topics in education include: The relationship between poor education and increased academic fees Creating a social link between homeschool and traditional schoolgoers The relationship between teacher satisfaction and student performance The divide between public and private school performance
LearnTechLib: Dissertations for Mathematics Education
Ph.D. thesis, George Fox University. View Abstract Add to Collection Alexander, Melina Evaluation of mathematics methods online: Planning knowledge, classroom applications, and pupil outcomes Ph.D. thesis, Utah State University. View Abstract Add to Collection Alghazo, Iman Mohammad
Theses and Dissertations (Mathematics Education)
In Mathematics, the topic of fractions is one of the most difficult topics for both teachers and learners. The primary focus of the study was to examine how pedagogical strategies could be used in the teaching of common ... Using ubuntu values to enhance disruptive pedagogies for effective and meaningful teaching of grade 12 Euclidean geometry
120+ Education Dissertation Topics and Titles
Here is our selection of education topics we think can help you develop a truly valuable dissertation. Topic 1: Investigating the impact of Covid-19 on the learning experience of the students. Topic 2: An analysis of the impact of classroom interaction and participation on the personality development and confidence of the students.
202 Math Research Topics To Impress Your College Professor
The following are undergraduate math research topics: Show the proofs of what F-algebras are used Abstract algebra, what does it mean? Algebra and geometry: discuss Acute square triangulation: how it works Right triangles: discuss their importance Discuss number problems Why every math student should study non-Euclidean geometry
Mathematics PhD theses
Mathematics PhD theses - Department of Mathematics and Statistics Mathematics PhD theses A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 2021
PhD in Mathematics
Some examples of topics you can research are: Number theory Numerical analysis String theory Random matrix theory Graph theory Quantum mechanics Statistical forecasting Matroid theory Control theory Besides this, because maths focuses on addressing interdisciplinary real-world problems, you may work and collaborate with other STEM researchers.
PhD in Mathematics Education
For questions, contact our admissions team at [email protected]*. The PhD in Mathematics Education emphasizes the development of scholarly attainment in the theory, research, and practice of mathematics education. Graduates of this program are prepared to be faculty members in research-focused colleges or universities, researchers in non ...
Mathematics Education (PhD)
Complete a dissertation in accordance with Graduate School and doctoral program requirements. Course Descriptions: ... MATH744: Special Topics in Mathematics Education (3 hours lecture) Topics may be selected from areas such as curriculum development, mathematics education policy, cognition in mathematics, comparative education, teacher ...
Mathematics
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Harvard Mathematics Department Harvard Department of Mathematics PhD
Dissertations. Most Harvard PhD dissertations from 2012 forward are available online in DASH, Harvard's central open-access repository and are linked below. Many older dissertations can be found on ProQuest Dissertation and Theses Search which many university libraries subscribe to.
Ph.D. in Mathematics
The general section consists of five topics, one of which may be chosen freely. The other four topics are determined by field of interest, but often turn out to be standard: complex variables, real variables, ordinary differential equations, and partial differential equations.
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Here are ten good topics for a dissertation. Impact of the Internet on the social and spiritual values of students. Fostering a democratic culture of adolescents as the main function of an educational organization. Cultural self-determination of high school students in teaching social and humanitarian disciplines.
Mathematics and Statistics Theses and Dissertations
Mathematics and Statistics Theses and Dissertations Theses/Dissertations from 2022 PDF New Developments in Statistical Optimal Designs for Physical and Computer Experiments, Damola M. Akinlana PDF Advances and Applications of Optimal Polynomial Approximants, Raymond Centner PDF
PhD Dissertations
In 1909 the department awarded its first PhD to Grace M. Bareis, whose dissertation was directed by Professor Harry W. Kuhn.The department began awarding PhD degrees on a regular basis around 1930, when a formal doctoral program was established as a result of the appointment of Tibor Radó as a professor at our department. To date, the department has awarded over 800 PhD degrees.
Mathematics Undergraduate Theses
The Senior Thesis in Mathematical Sciences course allows students to engage in independent mathematical work in an active and modern subject area of the mathematical sciences, guided by an official research faculty member in the department of mathematics and culminating in a written thesis presented in an appropriate public forum.
Applied Mathematics Theses and Dissertations
Theses/Dissertations from 2021. PDF. Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation, Gianfranco Bino. PDF. Mathematical Modelling of Ecological Systems in Patchy Environments, Ao Li. PDF. Credit Risk Measurement and Application based on BP Neural Networks, Jingshi Luo. PDF.
Mathematics Theses and Dissertations
Theses/Dissertations from 2022. PDF. Covering Systems and the Minimum Modulus Problem, Maria Claire Cummings. PDF. The Existence and Quantum Approximation of Optimal Pure State Ensembles, Ryan Thomas McGaha. PDF. Structure Preserving Reduced-Order Models of Hamiltonian Systems, Megan Alice McKay. PDF.
Math education thesis topics
Math can be a challenging subject for many learners. But there is support available in the form of Math education thesis topics.