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Mathematics Education Theses and Dissertations
Theses/dissertations from 2024 2024.
New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting
Theses/Dissertations from 2023 2023
Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales
Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff
Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley
Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson
Theses/Dissertations from 2022 2022
Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll
Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon
Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena
The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper
Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby
Structural Reasoning with Rational Expressions , Dana Steinhorst
Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong
Theses/Dissertations from 2021 2021
Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams
You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer
Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens
Theses/Dissertations from 2020 2020
Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway
Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen
Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe
Theses/Dissertations from 2019 2019
Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson
Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson
Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis
“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross
Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark
Theses/Dissertations from 2018 2018
Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason
How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job
Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau
Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky
Theses/Dissertations from 2017 2017
Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard
Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard
Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville
Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga
Theses/Dissertations from 2016 2016
The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis
Insight into Student Conceptions of Proof , Steven Daniel Lauzon
Theses/Dissertations from 2015 2015
Teacher Participation and Motivation inProfessional Development , Krystal A. Hill
Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet
English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill
Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich
Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts
Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson
Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke
Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise
Theses/Dissertations from 2014 2014
The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams
Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch
Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd
Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton
An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen
Theses/Dissertations from 2013 2013
Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo
Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau
Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc
Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele
Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk
Theses/Dissertations from 2012 2012
Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call
Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons
Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson
Mathematics Teacher Time Allocation , Ashley Martin Jones
Theses/Dissertations from 2011 2011
How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell
Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce
A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams
Theses/Dissertations from 2010 2010
Growth in Students' Conceptions of Mathematical Induction , John David Gruver
Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart
Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon
Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams
Theses/Dissertations from 2009 2009
A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick
The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling
Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak
Theses/Dissertations from 2008 2008
Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon
How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks
Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill
Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson
Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb
Theses/Dissertations from 2007 2007
Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff
What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff
Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow
One Problem, Two Contexts , Danielle L. Gigger
The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry
Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer
Theses/Dissertations from 2006 2006
How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras
Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz
The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze
Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing
What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb
Theses/Dissertations from 2005 2005
Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff
An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen
Theses/Dissertations from 2004 2004
Reasoning About Motion: A Case Study , Tiffini Lynn Glaze
Theses/Dissertations from 2003 2003
An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford
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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.
Department of Mathematics
- Recent PhD Theses
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- Qingci An (F. Lu) Identifiability and data-adaptive RKHS Tikhonov regularization in nonparametric learning problems
- Letian Chen (J. Bernstein) On Mean Curvature Flows coming out of Cones
- Ben Dees (C. Mese) On the Singular Sets of Harmonic Maps into F -Connected Complexes
- Lili He (H. Lindblad) The linear stability of weakly charged and slowly rotating Kerr Newman family of charged black holes
- Kalyani Kansal (D. Savitt) Codimension one intersections between components of the Emerton-Gee stack for GL 2
- Quanjun Lang (F. Lu) Learning kernels with nonlocal dependence in mean-field equations and the extension problem on Dirichlet space
- Yujie Luo (Y. Sire) Minimal log discrepancy and its applications in birational geometry
- Keaton Stubis (D. Savitt) Eisenstein Series with Class Number Coefficients Constructed from the Weil Representation
- Rong Tang (Y. Sire) Nonlocal Filtration Equations and Fractional Curvature Flows
- Xiangze Zeng (V. Shokurov) Boundedness of n -Complements on Algebraic Surfaces
- Zehong Zhang (F. Lu) Multi-agent systems: observability, classification and clustering prediction
- Luochen Zhao (Y. Sakellaridis) Topics in p -adic analysis
- Tslil Clingman (E. Riehl) Towards a theory of proof relevant categories
- Zongyipoan Lin (D. Savitt) Crystalline lifts of Galois representations
- David Myers (E. Riehl) Symmetry, Geometry, Modality
- Caroline VanBlargan (Y. Wang) Stability of Quermassintegral Inequalities
- Junyan Zhang (H. Lindblad) The Free-Boundary Problems in Inviscid Magnetohydrodynamics with or without Surface Tension
- Jin Zhou (M. Maggioni) Learning multiscale approximations of functions between manifolds
- Daniel Fuentes-Keuthan (E. Riehl) Goodwillie Towers of Infinity Categories and Desuspension
- Xiaoqi Huang (C. Sogge) Weyl formulae for Schrödinger operators with critically singular potentials
- Hanveen Koh (B. Smithling) Towards a conjecture of Pappas and Rapoport on a scheme attached to the symplectic group
- Patrick Martin (M. Maggioni) Multiplicatively Perturbed Least Squares for Dimension Reduction
- Xiyuan Wang (D. Savitt) Topics in Galois representations
Jordan Paschke (C. Sogge) Uniform Weyl Asymptotics for Off-Diagonal Spectral Projections
- Daniel Ginsberg (H. Lindblad) The free boundary problem for Euler’s equations
- Apurva Nakade (N. Kitchloo) Manifold Calculus and Convex Integration
- Cheng Zhang (C. Sogge) Oscillatory Integrals and Eigenfunction Restriction Estimates
- Zehua Zhao (B. Dodson) Long time dynamics for nonlinear Schrödinger equations at critical regularity
Older Theses
- Christopher Kauffman (H. Lindblad) Global Stability for Charged Scalar Fields in Spacetimes close to Minkowski
- Harry Lang (M. Maggioni) Streaming Coresets for High-Dimensional Geometry
- Tianyi Ren (C. Sogge) Resolvent Estimates for the Laplacian in the Euclidean Space and on the Sphere
- Shengwen Wang (J. Bernstein) Some results on the entropy of closed hypersurfaces and topology through singularities in mean curvature flow
- Emmett Wyman (C. Sogge) Explicit bounds on integrals of eigenfunctions over curves in surfaces of nonpositive curvature
- Ben Diamond (C. Consani) Smooth Surfaces in Smooth Fourfolds with Vanishing First Chern Class
- Chenyun Luo (H. Lindblad) On the motion of the free surface of a compressible liquid
- Yakun Xi (C. Sogge) Kakeya-Nikondym Problems and Geodesic Restriction Estimates for Eigenfunctions.
- Jon Beardsley (J. Morava) Coalgebraic Structure and Intermediate Hopf-Galois Extensions of Thom Spectra in Quasicategories
- Stephen Cattell (N. Kitchloo) The Completion of Dominant K-Theory
- Po-Yao Chang (J. Spruck) S elf-shrinkers to the mean curvature flow asymptotic to isoparametric cones
- Vitaly Lorman (N. Kitchloo) Real Johnson-Wilson Theories and Computations
- Kalina Mincheva (C. Consani) Semiring Congruences and Tropical Geometry
- Chenyang Su (J. Spruck) Starshaped locally convex hypersurfaces with curvature and boundary
- Jai Ung Jun (C. Consani) Algebraic geometry over semi-structure and hyper-structure of characteristic one
- John Ross (W. Minicozzi) Rigidity Results of Lambda-Hypersurfaces
- Jeffrey Tolliver (C. Consani) Hyperstructures and Idempotent Semistructures
- Xing Wang (C. Sogge) Asymptotic Behavior of Spectrums for Elliptic Pesdodifferential Operators
- Min Xue (C. Sogge) Concerning the Klein-Gordon equation on asymptotically Euclidean manifolds
- Junyan Zhu (B. Shiffman) Hole Probabilities of SU(m+1) Gaussian Random Polynomials
- Arash Karami (B. Shiffman) Zeros of random Reinhardt polynomials
- Matthew McGonagle (W. Minicozzi) The Gaussian Isoperimetric Problem and the Self-Shrinkers of Mean Curvature Flow
- Duncan Sinclair (C. Mese) Heat Kernels on Riemannian Polyhedra and Heat Flows into NPC Manifolds
- Hongtan Sun (C. Sogge) Strichartz Estimates for Wave and Schrödinger Equations on Hyperbolic Trapped Domains
- Tim Tran (B. Shiffman) Continuity of the Asymptotics of Expected Zeros of Fewnomials
- Xuehua Chen (C. Sogge) An Improvement on eigenfunction restriction estimates for compact boundaryless Riemannian manifolds with nonpositive sectional curvature
- Leili Shahriyari (W. Minicozzi) Translating graphs by mean curvature flow
- Peng Shao (C. Sogge) Sobolev resolvent estimates for the Laplace-Beltrami operator on compact manifolds
- Ling Xiao (J. Spruck) Flow Problems in Hyperbolic Space
- Sinan Ariturk (C. Sogge) Concentration and vanishing of eigenfunctions on a manifold with boundary
- Caleb Hussey (W. Minicozzi) Classification and analysis of low index mean curvature flow self-shrinkers
- Jingzhou Sun (B. Shiffman) Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds
- Joseph Cutrone (V. Shokurov) Symmetric Sarkisov Links of Fano Threefolds
- Michael Limarzi (T. Ono) On a Cohomological Study of Heisenberg Groups over The Ring of Algebraic Integers
- Longzhi Lin (W. Minicozzi) On the existence of closed geodesics and uniqueness of weakly harmonic maps
- Nicholas Marshburn (V. Shokurov) Smooth Weak Fano Threefolds
- Xin Yu (C. Sogge) Strichartz Estimates and Strauss Conjecture on Various Settings
- John Baber (B. Shiffman) Scaled correlations of critical points of random sections on Riemann surfaces
- Romie Banerjee (J. Boardman, S. Wilson) Real Johnson-Wilson theories and non-immersions of projective spaces
- Jonathan Dahl (C. Mese) Existence and structure of solutions of Steiner problems in optimal transport
- Stephen Kleene (W. Minicozzi) Singular behavior of minimal surfaces and mean curvature flow
- Susama Agarwala (J. Morava) The geometry of renormalization
- Abhishek Banerjee (C. Consani) Nearby cycles, Archimedean complex and periodicity in cyclic homology
- Christine Breiner (W. Minicozzi) Embedded minimal surfaces of finite topology and one end
- Yifei Chen (V. Shokurov) Strong rational connectedness of toric varieties
- Jing-Cheng Jiang (C. Sogge) Bilinear Strichartz estimates in two dimensional compact manifolds and cubic nonlinear Schrödinger equations
- Hamid Hezari (S. Zelditch) Eigenvalues and eigenfunctions of Schrödinger operators: Inverse spectral theory; and the zeros of eigenfunctions
- Siddique Khan (W. Minicozzi) Embedded minimal disks with curvature blow-up on a line segment
- Joel Kramer (W. Minicozzi) Embedded minimal spheres in 3-manifolds
- Reza Seyyedali (R. Wentworth) Balanced metrics in Kahler geometry
- Thomas Wright (T. Ono) On convergence of singular series for a pair of quadratic Forms
- Patrick Zulkowski (C. Mese) The Plateau problem in Alexandrov spaces satisfying the Perel’man conjecture
- Benjamin Baugher (S. Zelditch) Statistics of critical points in Kahler geometry and string theory
- Sung Rak Choi (V. Shokurov) The geography of log models and its applications
- Brian Macdonald (B. Shiffman) Statistics of non-real zeros and critical points of systems of real random polynomials in several variables
- Shuai Wang (T. Ono) On a certain triple system, elliptic curves and Gauss theory of quadratic forms
- Qi Zhong (S. Zelditch) Energies of zeros of random sections on Riemann surfaces
Scott Zrebiec (B. Shiffman) Hole Probability and Large Deviations in the Distribution of the Zeros of Gaussian Random Holomorphic Functions
- Ann Stewart (C. Sogge) Existence theorems for some nonlinear hyperbolic equations on a waveguide
- Hsin-Hao Su (J. Boardman) The E (1,2) Cohomolgy of the Eilenberg-Mac Lane Space Lane K(Z,3)
- Giuseppe Tinaglia (W. Minicozzi) Multi-valued Graphs In Embedded Constant Mean Curvature Disks
- Mike Krebs (R. Wentworth) Toledo Invariants on 2-Orbifolds
- Eun-Kyoung Lee (T. Ono) On Certain Cohomological Invariants of Algebraic Number Fields
- Brian Dean (W. Minicozzi) Some Results on Stable Compact Embedded Minimal Surfaces in 3-Manifolds
- Seok-Min Lee (T. Ono) On Certain Cohomological Invariants of Quadratic Number Fields
- Sirong Zhang (W. Minicozzi) Curvature Estimates for Constant Mean Curvature Surfaces in Three Manifolds
- Xiangjin Xu (C. Sogge) Eigenfunction Estimates on Compact Manifolds with Boundary and Hörmander Multiplier Theorem
- Byungchul Cha (C. Popescu) Vanishing of Some Cohomology Groups and Bounds for the Shafarevich-Tate Groups of Elliptic Curves
- Jason Metcalfe (C. Sogge) Global Strichartz Estimates for Solutions of the Wave Equation Exterior to a Convex Obstacle
Jung-Jo Lee (J. Shalika) Bounding Ranks of Elliptic Curves
- Jihun Park (V. Shokurov) Fano Fibrations Over a Discrete Valuation Ring
- Ramin Takloo-Bighash (J. Shalika) The Integral of Novodvorsky and the Local p-adic Factors of the Spinor L-function of the Group
- Takeshi Torii (J. Morava) One Dimensional Formal Group Laws of Height N and N-1
- Alexandru Tupan (V. Kolyvagin) Congruences for Modular Forms
- Hemin Yang (J. Boardman, W. Wilson) The Hit Problem for w (4) over F 2 by Differential Operator Algebra
- Ivan Cheltsov (V. Shokurov) Log Models of Birationally Rigid Varieties
- Joshua Neuheisel (S. Zelditch) The Asymptotic Distribution of Nodal Sets on Spheres
- Diego Socolinsky (J. Spruck) A Variational Approach to Image Fusion
- Terutake Abe (V. Shokurov) Classification of Exceptional Surface Complements
- Florin Ambro (V. Shokurov) The Adjunction Conjecture Applications
- Satyan Devadoss (J. Morava) Tessellations of Moduli Spaces and the Mosaic Operad
- Heuisu Ryu (V. Kolyvagin) Algorithm for Non-Triviality of Shafarevich-Tate Group Using Heegner Points for Some Family of Elliptic Curves
- Guoling Tong (J. Shalika) The Shimura Integral and the Standard L-function of U(3)
Mathematics Education, PHD
On this page:, at a glance: program details.
- Location: Tempe campus
- Second Language Requirement: No
Program Description
Degree Awarded: PHD Mathematics Education
This transdisciplinary PhD program in mathematics education accommodates students from a variety of academic backgrounds. It provides students with a solid foundation in graduate-level mathematics as well as research skills and perspectives that enable them to incorporate mathematics into such core educational areas as:
Conducting individual and collaborative research in the learning and teaching of mathematics is an integral part of the program.
Degree Requirements
84 credit hours, a written comprehensive exam, an oral comprehensive exam, a prospectus and a dissertation
Required Core (12 credit hours) MTE 501 Research in Undergraduate Mathematics Education I (3) MTE 502 Research in Undergraduate Mathematics Education II (3) MTE 503 Research in Undergraduate Mathematics Education Ill (3) MTE 504 Research in Undergraduate Mathematics Education IV (3)
Electives (42 credit hours)
Area Courses (12 credit hours)
Research (6 credit hours) MTE 792 Research (6)
Culminating Experience (12 credit hours) MTE 799 Dissertation (12)
Additional Curriculum Information Four to five graduate-level (500 and above) elective courses from mathematics, cognitive science, psychology, educational technology, philosophy or research should be taken as approved by the advisor.
For the area courses, students are required to take four graduate-level courses from the following areas of interest: mathematics, applied mathematics or statistics. Students should see the academic unit for the approved course list.
Students should see the school's website for information about qualifier and comprehensive examinations based on math coursework.
The doctoral dissertation culminating experience consists of a dissertation prospectus, oral dissertation defense and the submission of a final revised, formatted dissertation document to the Graduate College. Dissertations are composed under chair- and committee-supervised research, including literature review, research, data collection and analysis, and writing.
When approved by the student's supervisory committee and the Graduate College, up to 30 credit hours from a previously awarded master's degree may be used for this program. If students do not have a previously awarded master's degree, the remaining coursework is made up of electives and research.
Admission Requirements
Applicants must fulfill the requirements of both the Graduate College and The College of Liberal Arts and Sciences.
Applicants are eligible to apply to the program if they have earned a bachelor's or master's degree in mathematics or a closely related area, with exceptionally high grades in advanced coursework in mathematics, from a regionally accredited institution.
Applicants must have a minimum cumulative GPA of 3.00 (scale is 4.00 = "A") in the last 60 hours of their first bachelor's degree program or a minimum cumulative GPA of 3.00 (scale is 4.00 = "A") in an applicable master's degree program.
All applicants must submit:
- graduate admission application and application fee
- official transcripts
- statement of education and career goals
- writing sample
- three letters of recommendation
- proof of English proficiency
Additional Application Information An applicant whose native language is not English must provide proof of English proficiency regardless of their current residency.
At least two of the letters of recommendation must be from faculty.
Next Steps to attend ASU
Learn about our programs, apply to a program, visit our campus, application deadlines, learning outcomes.
- Able to complete original research in applied mathematics.
- Able to incorporate mathematical concepts into novel teaching methods.
- Address an original research question in mathematics education.
Career Opportunities
Graduates of the doctoral program in mathematics education have opportunities in Arizona, the U.S. and internationally. Opportunities are typically at research universities and liberal arts colleges, community colleges, and education consulting firms and in roles such as:
- faculty-track academic
- education consultant or analyst
- mathematics professor, instructor or researcher
Program Contact Information
If you have questions related to admission, please click here to request information and an admission specialist will reach out to you directly. For questions regarding faculty or courses, please use the contact information below.
- [email protected]
- 480/965-3951
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.
Admissions Information
Displaying requirements for the Spring 2024, Summer 2024, and Fall 2024 terms.
- Points/Credits: 75
- Entry Terms: Spring/Summer/Fall
Application Deadlines
- Spring: November 15
- Summer/Fall (Priority): December 1
- Summer/Fall (Final): Rolling
* For details about rolling deadlines , visit our admission deadlines page.
Supplemental Application Requirements/Comments
- Online Degree Application , including Statement of Purpose and Resume
- Transcripts and/or Course-by-Course Evaluations for all Undergraduate/Graduate Coursework Completed
- Results from an accepted English Proficiency Exam (if applicable)
- $75 Application Fee
- Two (2) Letters of Recommendation
Requirements from the TC Catalog (AY 2023-2024)
Displaying catalog information for the Fall 2023, Spring 2024 and Summer 2024 terms.
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 in mathematics education include MSTM 6037, MSTM 4019, and other mathematics education courses; Courses recommended as preparation for the examinations in mathematics are 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 MSTM 6037 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
The Doctor of Philosophy (Ph.D.) degree emphasizes research competencies. The degree program 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.
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 (ODS).
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. degree 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 website of the Program offers a list of Topic study groups which doctoral students are recommended to join.
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Program Director : Professor Alexander Karp
Teachers College, Columbia University 323 Thompson
Phone: (212) 678-3381 Fax: (212) 678-8319
Email: tcmath@tc.edu
Theses and Dissertations (Mathematics Education)
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Recent Submissions
- Enhancing mathematics teachers' professional development for creative teaching in Addis Ababa secondary schools Anwar Seid Al-amin ( 2023-09-25 ) The Ethiopian education system is imported from the West, and the traditional method of instruction (pouring information) in the ICT revolution era wastes time and resources. Learners can get more information about mathematics ...
- Grade 9 mathematics teachers’ strategies to address mathematical proficiency in their teaching of linear equations : a case of selected schools in Gauteng North District Mothudi, Teresa Ntsae ( 2022-12-10 ) The purpose of this research was to look into Grade 9 mathematics teachers’ strategies to address mathematical proficiency in their teaching of linear equations. The study was intrigued by the performance of learners in ...
- Grade 6 mathematics teachers’ development of learner mathematical proficiency in addition and subtraction of common fractions, in the Tshwane South District of Gauteng Lendis, Ashley Pearl ( 2022-11-30 ) The study was motivated by the fact that learners are not performing well in the topic of fractions due to the lack of conceptual understanding of the concept. The purpose of this qualitative study based on an interpretive ...
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Critical Analysis of Mathematics Education Doctoral Dissertations in the Philippines: 2009–2021
- First Online: 18 May 2023
Cite this chapter
- Bill Atweh 6 ,
- Minie Rose C. Lapinid 7 ,
- Auxencia A. Limjap 8 ,
- Levi E. Elipane 9 ,
- Michel Basister 10 &
- Rosie L. Conde 9
Part of the book series: Mathematics Education – An Asian Perspective ((MATHEDUCASPER))
159 Accesses
- The original version of this chapter was revised: The author name Michel Basister has been updated. The correction to this chapter is available at https://doi.org/10.1007/978-981-99-0643-7_9 .
This chapter presents a critical analysis of educational research as reflected in doctoral dissertations completed during the past decade in mathematics education in the Philippines. It analyzes the published dissertations with respect to the topics in the discipline they address, the targeted participants in terms of educational level and roles of stakeholders and theoretical frameworks used to construct the research. The analysis revealed a strong emphasis on research on teaching educational goals of mathematics, teacher development, and the use of technology in teaching. The less traversed areas were the research on social goals of education, the relationship of mathematics teaching and learning in other disciplines, the equity in terms of language and access to quality mathematics education due to poverty, elementary and kindergarten mathematics, assessment, technology used in informal settings, and research areas that are informed by critical and sociopolitical perspectives. The analysis calls for the need for better articulation of the role of the theory in a dissertation and a greater diversification of theoretical stances, in particular the critical and sociopolitical perspectives that remain underutilized.
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Atweh, B., Lapinid, M.R.C., Limjap, A.A., Elipane, L.E., Basister, M., Conde, R.L. (2023). Critical Analysis of Mathematics Education Doctoral Dissertations in the Philippines: 2009–2021. In: Atweh, B., Fan, L., Vistro-Yu, C.P. (eds) Asian Research in Mathematics Education. Mathematics Education – An Asian Perspective. Springer, Singapore. https://doi.org/10.1007/978-981-99-0643-7_4
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College of Education
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MAT Mathematics Education
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The master’s program in Mathematics Education provides students with advanced specialization in mathematics and education as a better foundation for K-12 teaching.
Dissertation
As the culmination of the Mathematics Education PhD program, you will complete a dissertation on a research project in mathematics education. You will work with your program advisor to determine a research project that aligns with your academic and career interests. Upon completion of the dissertation, the candidate defends the dissertation in an oral examination.
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PHD, Mathematics Education
Designed for students with a strong background in mathematics and mathematics education who wish to be leading researchers in mathematics education. This program combines graduate-level study with qualitative and quantitative research methodology.
Degree Type: Doctoral
Degree Program Code: PHD_EMAT
Degree Program Summary:
The PhD degree is designed for those with a strong background in both mathematics and mathematics education who wish to be leading researchers in mathematics education. The degree combines graduate level study of mathematics and mathematics education with work in qualitative and quantitative research methodology and other supporting fields as appropriate to the person’s area of interest. Comprehensive written and oral examinations as well as original research presented in a dissertation are required.
The Mathematics Education Program offers 5 graduate degrees: the MAT (Master of Arts in Teaching), MEd (Master of Education), MA (Master of Arts), EdS (Specialist in Education), and PhD (Doctor of Philosophy). All 5 degrees are offered on the Athens campus and are geared toward people with an interest in the teaching and learning of mathematics in grades 6-12. The MEd and EdS are also offered on the Griffin campus and are geared toward people with an interest in early childhood (preK-5) or middle grades (4-8) education. We also offer a graduate certificate in mathematics education for those pursuing a PhD in mathematics who wish to learn more about mathematics education.
Recognized as a national research leader in the fields of mathematics and science education, this department combines the expertise of its internationally known faculty with the energy and innovation of its rising young scholars. The faculty’s influential research has included topics such as mathematics curricula, research in mathematics education, the history of mathematics curricula and education, emotional dimensions of school mathematics experiences, tools for interactive mathematical material, socio-cultural-political factors that influence science teaching and learning, international science education, psychology of learning science and technology used in mathematics and science education.
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Mary Frances Early College of Education
110 Carlton Street Athens, GA 30602
706-542-6446
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Mathematics and Science Education
Graduate Coordinator(s):
Kevin Moore
Phone Number:
706-542-3211
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Mathematics PhD theses
A selection of Mathematics PhD thesis titles is listed below, some of which are available online:
2022 2021 2020 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
Melanie Kobras – Low order models of storm track variability
Ed Clark – Vectorial Variational Problems in L∞ and Applications to Data Assimilation
Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes
Chiara Cecilia Maiocchi – Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems
Samuel R Harrison – Stalactite Inspired Thin Film Flow
Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability
Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions
Jennifer E. Israelsson – The spatial statistical distribution for multiple rainfall intensities over Ghana
Giulia Carigi – Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics
André Macedo – Local-global principles for norms
Tsz Yan Leung – Weather Predictability: Some Theoretical Considerations
Jehan Alswaihli – Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations
Jemima M Tabeart – On the treatment of correlated observation errors in data assimilation
Chris Davies – Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems
Birzhan Ayanbayev – Some Problems in Vectorial Calculus of Variations in L∞
Penpark Sirimark – Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation
Adam Barker – Path Properties of Levy Processes
Hasen Mekki Öztürk – Spectra of Indefinite Linear Operator Pencils
Carlo Cafaro – Information gain that convective-scale models bring to probabilistic weather forecasts
Nicola Thorn – The boundedness and spectral properties of multiplicative Toeplitz operators
James Jackaman – Finite element methods as geometric structure preserving algorithms
Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics
Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface
Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations
Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)
Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)
Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)
Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)
Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)
Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)
Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)
Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)
Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)
Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)
Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)
Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)
Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)
Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)
Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)
Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)
Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)
Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)
Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)
Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)
Mark Parsons - Mathematical Modelling of Evolving Networks
Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring
David Gilbert - Analysis of large-scale atmospheric flows
Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)
Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)
Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)
Cassandra A.J. Moran - Wave scattering by harbours and offshore structures
Ashley Twigger - Boundary element methods for high frequency scattering
David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)
Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)
Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)
Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)
Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)
Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)
Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)
Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)
R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)
G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)
C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.
P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)
L. Bennetts - Wave scattering by ice sheets of varying thickness
M. Preston - Boundary Integral Equations method for 3-D water waves
J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)
D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)
S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)
J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)
L. Watkinson - Four dimensional variational data assimilation for Hamiltonian problems
M. Hunt - Unique extension of atomic functionals of JB*-Triples
D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications
T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill
C. Hughes - On the topographical scattering and near-trapping of water waves
B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems
D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows
M. Henderson - Extending the edge-colouring of graphs
K. Allen - The propagation of large scale sediment structures in closed channels
D. Cariolaro - The 1-Factorization problem and same related conjectures
A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples
D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling
S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction
C. Johnson - Information Content of Observations in Variational Data Assimilation
M.A. Wakefield - Bounds on Quantities of Physical Interest
M. Johnson - Some problems on graphs and designs
A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts
R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems
J.V. Morgan - Numerical Methods for Macroscopic Traffic Models
M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling
M. Martin - Data Assimilation in Ocean circulation models with systematic errors
K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations
J. Hudson - Numerical Techniques for Morphodynamic Modelling
A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .
C.J.Smith - The semi lagrangian method in atmospheric modelling
T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow
M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.
P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.
M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors
P. Sims - Interface Tracking using Lagrangian Eulerian Methods.
P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.
B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.
S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.
I. Sciriha - On Some Aspects of Graph Spectra.
P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.
J.F. Goodwin - Developing a practical approach to water wave scattering problems.
N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.
L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.
A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .
J. Bryans - Denotational semantic models for real-time LOTOS.
I. MacDonald - Analysis and computation of steady open channel flow .
A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.
S.M. Allen - Extended edge-colourings of graphs.
M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.
C.J. Chikunji - On the classification of finite rings.
S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.
D.J. Staziker - Water wave scattering by undulating bed topography .
K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .
D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .
M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .
M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .
S.M. Stringer - The use of robust observers in the simulation of gas supply networks .
S.L. Wakelin - Variational principles and the finite element method for channel flows. .
E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .
C.P. Reeves - Moving finite elements and overturning solutions .
A.J. Malcolm - Data dependent triangular grid generation. .
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College of Education
Overview: phd mathematics & science education.
The PhD in Education: Curriculum and Instruction offers students opportunities to study in three major areas of concentration: (a) Curriculum Studies ; (b) Literacy, Language, and Culture ; (c ) Mathematics and Science Education . Students in this PhD program apply to and are admitted to one of these three concentrations. These concentrations have some common elements but they also differ in a number of important ways. Therefore, each of these concentrations is described separately. You should refer to the description of the concentration to which you have been admitted. You should also refer to later sections of this handbook that provide additional information about conducting dissertation research successfully.
The MSE PhD program spans P-20 mathematics and science education in urban settings in and out of schools. The focus is on developing new knowledge that improves science and mathematics education and has an impact on the communities we serve. Students engage in coursework and research experiences that guide them to view issues of learning, teaching, curriculum, assessment, and policy through sociocultural and sociopolitical lenses where equity, social justice, race, language, culture, and identity are essential considerations.
Program faculty members are widely recognized as leaders in their respective fields. They have published extensively on the educational experiences of African American and Latino learners, and bring to their research and teaching strong disciplinary education in STEM fields. They also have considerable records of mentoring and preparing scholars from traditionally underrepresented groups, as well as preparing and collaborating with P-20 science and mathematics teachers and faculty.
Graduates of the MSE program are well prepared to assume a variety of positions in colleges, universities, organizations, and informal educational settings to improve the mathematics and science education of children, adolescents, and adult learners through research.
Overview of Requirements (Fall 2013) Heading link Copy link
The program requires a minimum of 98 semester hours beyond the baccalaureate degree and a minimum of 66 semester hours beyond the master’s degree. These requirements include completion of a 12-hour Doctoral Studies Core, a 12-hour methodology requirement, 12 hours of the MSE program core, and 12 hours in one of the two disciplinary strands (i.e., mathematics education or science education). Students are required to pass written and oral portions of a preliminary examination and successfully defend their dissertation research. Requirements are as follows for students who enter the program with an earned master’s degree.
- COE Doctoral Studies Core –12 hours
- Methodology Requirement – 12 hours
- Mathematics and Science Education Program Core – 12 hours
- Proseminar in Curriculum and Instruction – 2 hours
- Mathematics or Science Education Specialization – 12 hours
- Teaching Apprenticeship, Research Project, or Independent Study – 4 hours
- Preliminary Examination – Written Portion
- Preparation of a Dissertation Research Proposal
- Preliminary Examination – Oral Portion
- Dissertation Research – 12 hours (minimum)
- Dissertation Defense
Students who enter with a bachelor’s but not a master’s degree must take up to 32 hours of additional course work (the equivalent of a master’s degree) in an area of specialization.
Doctoral Studies Core (12 hours) Heading link Copy link
All doctoral degrees in the College of Education require a core of courses that focuses on different types of research in educational settings, research design, and the analysis of educational data. These core courses will help you develop the minimum skills needed to evaluate research literature and to begin your own independent research. You are encouraged to take these core courses early in your program; however, you may take other courses in the program before completing this set of courses.
The requirements of the Doctoral Studies Core are:
- ED 504—Urban Contexts and Educational Research (4 hours)
- ED 505—Introduction to Educational Research: Paradigms and Processes (4 hours)
- ED 506—Introduction to Educational Research: Designs and Analyses (4 hours)
Methodology Requirement (12 hours) Heading link Copy link
In addition to the Doctoral Studies Core above, you must take a minimum of three research methodology courses as described below. Note also that you may choose or be encouraged by your faculty advisor to take additional courses in research methodology beyond these minimums in order to meet your personal scholarly and professional goals.
The Methodology Requirement includes:
- ED 502—Essentials of Qualitative Inquiry in Education (4 hours)
- ED 503/EPSY 503—Essentials of Quantitative Inquiry in Education (4 hours)
- A third methodology course selected in consultation with your advisor (4 hours)
Math and Science Concentration Program Core (12 hours) Heading link Copy link
- CI 517 – The Sociopolitcal Context of Mathematics and Science Education (4 hours)
- CI 518 – Race, Identity, and Agency in Mathematics and Science Education (4 hours)
- CI 573 – Multimodality, Multiliteracies, & Science and Mathematics Education (4 hrs)
Proseminar in Curriculum and Instruction (CI 500, 2 hours) Heading link Copy link
CI 500 is designed to help you meet faculty members and be introduced to the wide range of research approaches used in the field of curriculum studies in general, including mathematics and science education.
Mathematics or Science Education Specialization (12 hours – Choose 3 Courses) Heading link Copy link
- CI 516 – Research on Mathematics Teachers and Teaching (4 hours)
- CI 519 — Research on the Learning of Mathematics (4 hours)
- CI 520 – The K-12 Mathematics Curriculum: Theory, Politics, and Reform (4 hrs)
- CI 566 – Research on Science Curriculum (4 hours)
- CI 567 – Research on Science Teaching and Teacher Education (4 hours)
- CI 570 – Research on Science Learning (4 hours)
Teaching Apprenticeship, Research Project, or Independent Study (CI 592, 593, or 596, 4 hours) Heading link Copy link
You should complete at least 4 hours from among the following options:
Teaching Apprenticeship (CI 592)
An apprenticeship in teaching is strongly recommended for those individuals intending to pursue a career in higher education. The apprenticeship in teaching requires that you register for CI 592—Apprenticeship in Teacher Education and co-teach a university course under the direction of a faculty sponsor. The course that you teach should be related to your interests and future career objectives. A faculty member will be the instructor of record and will supervise you closely throughout the internship. You will assume responsibility for course instruction, student interaction, and evaluation to the extent negotiated with the instructor. In addition to this apprenticeship in teaching, you are also encouraged to seek opportunities to deliver guest lectures in other classes offered by the faculty.
Research Project (CI 593)
The research project is an important beginning experience in doing actual research in a chosen area of study. The research project may also give you an opportunity to explore and pilot ideas for your dissertation research. You may seek out any faculty to guide and oversee your research project. Ideally, you would engage in all aspects of research from design through execution, analysis, and writing of results. Such work may lead to a presentation at a scholarly conference or to submission of a manuscript to a professional journal or other publication (e.g., a book chapter, journal paper, etc.). See Section V on the possible need for IRB approval before conducting a research project. Collaborating with faculty on a larger research project may also be used to fulfill this requirement.
You should consult with your faculty advisor to determine when you are ready to embark on a research project. You must then find a faculty member to help design and conduct the project. This faculty member may be your program advisor or another faculty member who has particular expertise and experience to support the project.
Independent Study (CI 596)
In consultation with your advisor, and with the agreement and approval of a supervising faculty member, you may choose to register for an Independent Study (CI 596) project. This option allows you to design, implement and analyze the results of a research problem in your area of specialization.
Annual Reviews Heading link Copy link
You are required to submit a formal progress report each year. These reports provide you with an opportunity to reflect on whether you are meeting your goals while allowing faculty to assess whether adequate progress is being made. Program faculty review and discuss these reports and provide written feedback to you about whether you are meeting expectations. Recommendations for ways to enhance or sustain your progress are a likely result of this process. If you are not making adequate progress you may be placed on probation and given directive feedback on how to proceed.
Preliminary Examination Heading link Copy link
The purpose of the preliminary examination is to determine your readiness to undertake dissertation research. The examination has two parts: a written portion (written prelims) that focuses primarily on your program of study, and an oral portion (oral prelims) that focuses primarily on your dissertation proposal. Passing the preliminary examination constitutes formal admission to candidacy for the PhD.
Written prelims should be taken when you have completed your coursework, or concurrently with your last course(s). Oral prelims should be taken after you pass the written prelims and have completed your dissertation proposal. Passing the oral prelims constitutes approval of your dissertation research direction. Before beginning your dissertation research, you must also receive approval from the Institutional Review Board (IRB) if the research involves human subjects (see Section V).
Written Prelims Heading link Copy link
You should begin making arrangements to take the written prelims when you have finished, or you are almost finishing, your coursework. First, you must find a faculty member to chair your written prelims committee. Your faculty program advisor can help with this task. Your program advisor may serve as a your committee chair, or you may identify another Mathematics and Science Education program faculty member whose interests and expertise align more closely with your program of study and dissertation research. You should work with the committee chair to identify and recruit at least two other members to serve on your written prelims committee. Your written prelims committee may, or may not, grow into your 5-member dissertation committee that evaluates your oral prelims, which is the defense of your dissertation proposal. Thus, as you put together your written prelims committee, know the guidelines for the composition of the oral prelims committee, which is the same as your dissertation committee.
The chair of the written prelims committee will convene the other committee members to develop questions for the exam. Generally, these questions ask you to integrate and apply knowledge and understandings gained from your coursework, research project, and independent readings with an eye onto your dissertation research direction. You may choose to take the exam at the university or as a take-home assignment. Written prelims are evaluated on a pass/fail basis. If necessary, the entire exam or some portion can be retaken once. After you have passed this exam, the chair will submit a form indicating this accomplishment to the College of Education Office of Student Services for inclusion in your file.
Dissertation Proposal Heading link Copy link
Your coursework, research project, independent readings, and written prelims should give you a good start on planning your dissertation research. After passing the written prelims, you must complete a proposal for your dissertation research that you will defend during your oral prelims.
Dissertation research may be developed from the many possibilities related to your area of study and from a variety of research traditions. The process of writing a dissertation proposal is challenging, but it provides great opportunities for creative and personally rewarding work. Students often find it helpful to draw on their studies to date and avail themselves of the advice and support of their committee chair and members, other faculty, and fellow students whenever possible. Dissertation proposals may take many forms and be of varying lengths. The organization, content, and length of the proposal are issues that you should decide in consultation with the chair of your dissertation committee.
When you and your committee chair agree that the dissertation proposal is ready for review and approval, you will work with the chair to distribute the proposal to members of your oral prelims committee (see below under Oral Prelims section) and schedule the defense of your proposal. The proposal should be distributed to committee members for review at least three weeks before the scheduled date. It is strongly recommended that a draft of the IRB application is included in the proposal. As a rule, you should not submit your application to the IRB before the oral prelims are completed because committees may make recommendations for changing research protocols during the exam (i.e., proposal defense). See Section V for information about IRB requirements and procedures.
Oral Prelims Heading link Copy link
The oral prelims are a hearing on the dissertation proposal with the primary function to assess and approve the dissertation research proposal.
Although the oral prelims committee can be later changed if needed, it should generally be expected to serve also as your dissertation committee and formed accordingly. The dissertation committee should consist of five members including your chair who must be a Mathematics and Science Education program faculty. At least three members, including the chair, must be UIC faculty who are full members of the Graduate College. Tenured or tenure-track faculty are usually full members of the Graduate College; clinical and visiting faculty generally are not. Links to a listing of full members are available on the Graduate College website: http://grad.uic.edu/cms/?pid=1000207 . At least two committee members must be tenured faculty in the College of Education (i.e., associate professors or professors). Also, at least two members must be Mathematics and Science Education program faculty. The Graduate College also requires that a member is from outside the Program (see Section IV). You should work with your oral prelims committee chair to identify and recruit at least four other members (possibly including any who have served on your written prelims committee) to serve on your oral prelims committee.
In order to formally constitute the oral prelims committee, you must submit to the Graduate College a Committee Recommendation Form. This form may be obtained from the Graduate College’s website: http://grad.uic.edu/cms/?pid=1000329 . At the same time, you should ask the College of Education Office of Student Services (3145 EPASW) for a degree checklist (see Section IV). A list of the courses taken is available through the my.UIC portal: https://my.uic.edu/common/ . You must return the completed degree checklist with the signed Committee Recommendation Form to the College of Education Office of Student Services. The completed form must be signed by the committee chair and submitted to the College of Education Office of Student Services at least three weeks before the date of the examination. Before submitting this form, you must be sure that the faculty members identified to serve on the committee have agreed to serve. If you want to include a committee member who is not on the faculty at UIC or is not a member of the UIC Graduate College, the Graduate College must approve that member. This approval process is initiated when the Committee Recommendation Form is submitted to the College of Education Office of Student Services. A copy of the potential committee member’s full current curriculum vitae must be submitted with the Committee Recommendation Form.
The oral prelims are evaluated on a pass-fail basis. If two or more members of the oral prelims committee assign a failing grade, the student fails the exam. Students who fail are sometimes asked to do additional work on or to revise their dissertation proposal before their committee gives final approval. Even if the committee does not fail a student, it may require that the student make particular changes in the dissertation proposal before the proposal is approved.
Passing the oral prelims signifies that committee members have given their approval for you to carry out your proposed dissertation research. Once you have reached this point, you must submit the final version of the IRB application for approval (see Section V). Before an application is submitted to the IRB, you must have it reviewed and signed by the committee chair and the chair of the Curriculum and Instruction Department.
Dissertation Research (CI 599, 12 hours minimum) Heading link Copy link
After passing the oral prelims and receiving approval from the IRB, you may begin your dissertation research. You must register for a minimum of 12 hours of dissertation credit during the time you conduct and write up your study. After registering for the minimum of 12 hours of dissertation credit, if you have passed both the written and oral prelims, you may petition the Graduate College to be permitted to register for 0 (zero) hours of dissertation credit. If permission is granted, you may continue to register for 0 hours if you continue to make satisfactory progress and are within the time limits for completion of the degree. Note that even if you are eligible and successfully petition the Graduate College to register for 0 hours, you still must register for 0 hours each semester until you have successfully defended the dissertation (although you do not need to register for 0 credits for the summer session unless the defense will be held during the summer).
The Graduate College makes an exception to the above registration requirement if the defense will occur during the late registration period for a term; in those cases, a doctoral defense will be allowed without student registration in that term. This is assuming that you were registered the previous term, or the previous spring term in the instance of a fall defense (which should be the case since, as stated above, continuous registration is required). The late registration period is the official first ten days of any fall or spring semester and the first five days of the summer term. If you defend after the 10 th day (5 th in summer) you must be registered.
If you hold a fellowship, assistantship and/or tuition waiver, and do not resign from it, then registration is mandatory for the number of hours required to hold the award or assistantship. If you hold a student visa, you probably do not have to register if you leave the country by the 10 th day (5 th in summer), although this should be verified with Office of International Services.
This (late period registration defense) exception does not affect the registration requirement to take the Preliminary Examination, or the general requirement of continuous registration from Preliminary Examination to defense. Failure to register continuously may result in being administratively dropped from the program. You should refer to Section IV for important additional information about constituting a dissertation committee and conducting dissertation research.
Dissertation Defense Heading link Copy link
When nearing the end of dissertation research, you should begin to plan your dissertation defense with your dissertation committee chair. See Section IV for specific information about organizing and scheduling a dissertation defense and filing all the paperwork required before the defense can be conducted.
According to Graduate College regulations, at least one year must pass between completing the oral prelims and the dissertation defense. If you fail to complete all program requirements, including the dissertation defense, within five years of passing the oral prelims, you must retake them.
Dissertations and Placements 2010-Present
Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel Halpern-Leistner First Position: Postdoc at the Institution for Advanced Study and Princeton
Max Lipton Thesis: Dynamical Systems in Pure Mathematics Advisor: Steven Strogatz First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology
Elise McMahon Thesis: A simplicial set approach to computing the group homology of some orthogonal subgroups of the discrete group Advisor: Inna Zakharevich First Position: Senior Research Scientist at Two Six Technologies
Peter Uttenthal Thesis: Density of Selmer Ranks in Families of Even Galois Representations Advisor: Ravi Kumar Ramakrishna First Position: Visiting Assistant Professor at Cornell University
Liu Yun Thesis: Towers of Borel Fibrations and Generalized Quasi-Invariants Advisor: Yuri Berest First Position: Postdoc at Indiana University Bloomington
Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC
Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University
Shiping Cao Thesis: Topics in scaling limits on some Sierpinski carpet type fractals Advisor: Robert Strichartz (Laurent Saloff-Coste in last semester) First Position: Postdoctoral Scholar, University of Washington
Andres Fernandes Herrero Thesis: On the boundedness of the moduli of logarithmic connections Advisor: Nicolas Templier First Position: Ritt Assistant Professor, Columbia University
Max Hallgren Thesis: Ricci Flow with a Lower Bound on Ricci Curvature Advisor: Xiaodong Cao First Position: NSF Postdoctoral Research Fellow, Rutgers University
Gautam Krishnan Thesis: Degenerate series representations for symplectic groups Advisor: Dan Barbasch First Position: Hill Assistant Professor, Rutgers University
Feng Liang Thesis: Mixing time and limit shapes of Abelian networks Advisor: Lionel Levine
David Mehrle Thesis: Commutative and Homological Algebra of Incomplete Tambara Functors Advisor: Inna Zakharevich First Position: Postdoctoral Scholar, University of Kentucky
Itamar Sales de Oliveira Thesis: A new approach to the Fourier extension problem for the paraboloid Advisor: Camil Muscalu First Position: Postdoctoral Researcher, Nantes Université
Brandon Shapiro Thesis: Shape Independent Category Theory Advisor: Inna Zakharevich First Position: Postdoctoral Fellow, Topos Institute
Ayah Almousa Thesis: Combinatorial characterizations of polarizations of powers of the graded maximal ideal Advisor: Irena Peeva First position: RTG Postdoctoral Fellow, University of Minnesota
Jose Bastidas Thesis: Species and hyperplane arrangements Advisor: Marcelo Aguiar First position: Postdoctoral Fellow, Université du Québec à Montréal
Zaoli Chen Thesis: Clustered Behaviors of Extreme Values Advisor: Gennady Samorodnitsky First Position: Postdoctoral Researcher, Department of and Statistics, University of Ottawa
Ivan Geffner Thesis: Implementing Mediators with Cheap Talk Advisor: Joe Halpern First Position: Postdoctoral Researcher, Technion – Israel Institute of Technology
Ryan McDermott Thesis: Phase Transitions and Near-Critical Phenomena in the Abelian Sandpile Model Advisor: Lionel Levine
Aleksandra Niepla Thesis: Iterated Fractional Integrals and Applications to Fourier Integrals with Rational Symbol Advisor: Camil Muscalu First Position: Visiting Assistant Professor, College of the Holy Cross
Dylan Peifer Thesis: Reinforcement Learning in Buchberger's Algorithm Advisor: Michael Stillman First Position: Quantitative Researcher, Susquehanna International Group
Rakvi Thesis: A Classification of Genus 0 Modular Curves with Rational Points Advisor: David Zywina First Position: Hans Rademacher Instructor, University of Pennsylvania
Ana Smaranda Sandu Thesis: Knowledge of counterfactuals Advisor: Anil Nerode First Position: Instructor in Science Laboratory, Computer Science Department, Wellesley College
Maru Sarazola Thesis: Constructing K-theory spectra from algebraic structures with a class of acyclic objects Advisor: Inna Zakharevich First Position: J.J. Sylvester Assistant Professor, Johns Hopkins University
Abigail Turner Thesis: L2 Minimal Algorithms Advisor: Steven Strogatz
Yuwen Wang Thesis: Long-jump random walks on finite groups Advisor: Laurent Saloff-Coste First Position: Postdoc, University of Innsbruck, Austria
Beihui Yuan Thesis: Applications of commutative algebra to spline theory and string theory Advisor: Michael Stillman First Position: Research Fellow, Swansea University
Elliot Cartee Thesis: Topics in Optimal Control and Game Theory Advisor: Alexander Vladimirsky First Position: L.E. Dickson Instructor, Department of , University of Chicago
Frederik de Keersmaeker Thesis: Displaceability in Symplectic Geometry Advisor: Tara Holm First Position: Consultant, Addestino Innovation Management
Lila Greco Thesis: Locally Markov Walks and Branching Processes Advisor: Lionel Levine First Position: Actuarial Assistant, Berkshire Hathaway Specialty Insurance
Benjamin Hoffman Thesis: Polytopes And Hamiltonian Geometry: Stacks, Toric Degenerations, And Partial Advisor: Reyer Sjamaar First Position: Teaching Associate, Department of , Cornell University
Daoji Huang Thesis: A Bruhat Atlas on the Wonderful Compactification of PS O(2 n )/ SO (2 n -1) and A Kazhdan-Lusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota
Pak-Hin Li Thesis: A Hopf Algebra from Preprojective Modules Advisor: Allen Knutson First position: Associate, Goldman Sachs
Anwesh Ray Thesis: Lifting Reducible Galois Representations Advisor: Ravi Ramakrishna First Position: Postdoctoral Fellowship, University of British Columbia
Avery St. Dizier Thesis: Combinatorics of Schubert Polynomials Advisor: Karola Meszaros First Position: Postdoctoral Fellowship, Department of , University of Illinois at Urbana-Champaign
Shihao Xiong Thesis: Forcing Axioms For Sigma-Closed Posets And Their Consequences Advisor: Justin Moore First Position: Algorithm Developer, Hudson River Trading
Swee Hong Chan Thesis: Nonhalting abelian networks Advisor: Lionel Levine First Position: Hedrick Adjunct Assistant Professor, UCLA
Joseph Gallagher Thesis: On conjectures related to character varieties of knots and Jones polynomials Advisor: Yuri Berest First Position: Data Scientist, Capital One
Jun Le Goh Thesis: Measuring the Relative Complexity of Mathematical Constructions and Theorems Advisor: Richard Shore First Position: Van Vleck Assistant Professor, University of Wisconsin-Madison
Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent Saloff-Coste First Position: Visiting Assistant Professor, Department of , Cornell University
Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent Saloff-Coste First Position: Data Scientist, Jet.com
Ian Pendleton Thesis: The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds Advisor: Tara Holm
Amin Saied Thesis: Stable representation theory of categories and applications to families of (bi)modules over symmetric groups Advisor: Martin Kassabov First Position: Data Scientist, Microsoft
Yujia Zhai Thesis: Study of bi-parameter flag paraproducts and bi-parameter stopping-time algorithms Advisor: Camil Muscalu First Position: Postdoctoral Associate, Université de Nantes
Tair Akhmejanov Thesis: Growth Diagrams from Polygons in the Affine Grassmannian Advisor: Allen Knutson First position: Arthur J. Krener Assistant Professor, University of California, Davis
James Barnes Thesis: The Theory of the Hyperarithmetic Degrees Advisor: Richard Shore First position: Visiting Lecturer, Wellesley College
Jeffrey Bergfalk Thesis: Dimensions of ordinals: set theory, homology theory, and the first omega alephs Advisor: Justin Moore Postdoctoral Associate, UNAM - National Autonomous University of Mexico
TaoRan Chen Thesis: The Inverse Deformation Problem Advisor: Ravi Ramakrishna
Sergio Da Silva Thesis: On the Gorensteinization of Schubert varieties via boundary divisors Advisor: Allen Knutson First position: Pacific Institute for the Mathematical Sciences (PIMS) postdoctoral fellowship, University of Manitoba
Eduard Einstein Thesis: Hierarchies for relatively hyperbolic compact special cube complexes Advisor: Jason Manning First position: Research Assistant Professor (Postdoc), University of Illinois, Chicago (UIC)
Balázs Elek Thesis: Toric surfaces with Kazhdan-Lusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto
Kelsey Houston-Edwards Thesis: Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent Saloff-Coste First position: Professor of Math and Science Communication, Olin College
My Huynh Thesis: The Gromov Width of Symplectic Cuts of Symplectic Manifolds. Advisor: Tara Holm First position: Applied Mathematician, Applied Research Associates Inc., Raleigh NC.
Hossein Lamei Ramandi Thesis: On the minimality of non-σ-scattered orders Advisor: Justin Moore First position: Postdoctoral Associate at UFT (University Toronto)
Christine McMeekin Thesis: A density of ramified primes Advisor: Ravi Ramakrishna First position: Researcher at Max Planck Institute
Aliaksandr Patotski Thesis: Derived characters of Lie representations and Chern-Simons forms Advisor: Yuri Berest First position: Data Scientist, Microsoft
Ahmad Rafiqi Thesis: On dilatations of surface automorphisms Advisor: John Hubbard First position: Postdoctoral Associate, Sao Palo, Brazil
Ying-Ying Tran Thesis: Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher
Drew Zemke Thesis: Surfaces in Three- and Four-Dimensional Topology Advisor: Jason Manning First position: Preceptor in , Harvard University
Heung Shan Theodore Hui Thesis: A Radical Characterization of Abelian Varieties Advisor: David Zywina First position: Quantitative Researcher, Eastmore Group
Daniel Miller Thesis: Counterexamples related to the Sato–Tate conjecture Advisor: Ravi Ramakrishna First position: Data Scientist, Microsoft
Lihai Qian Thesis: Rigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions Advisor: Xiaodong Cao First position: Quantitative Associate, Wells Fargo
Valente Ramirez Garcia Luna Thesis: Quadratic vector fields on the complex plane: rigidity and analytic invariants Advisor: Yulij Ilyashenko First position: Lebesgue Post-doc Fellow, Institut de Recherche Mathématique de Rennes
Iian Smythe Thesis: Set theory in infinite-dimensional vector spaces Advisor: Justin Moore First position: Hill Assistant Professor at Rutgers, the State University of New Jersey
Zhexiu Tu Thesis: Topological representations of matroids and the cd-index Advisor: Edward Swartz First position: Visiting Professor - Centre College, Kentucky
Wai-kit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University
Lucien Clavier Thesis: Non-affine horocycle orbit closures on strata of translation surfaces: new examples Advisor: John Smillie First position: Consultant in Capital Markets, Financial Risk at Deloitte Luxembourg
Voula Collins Thesis: Crystal branching for non-Levi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space Advisor: Allen Knutson FIrst position: Postdoctoral Associate, University of Connecticut
Pok Wai Fong Thesis: Smoothness Properties of symbols, Calderón Commutators and Generalizations Advisor: Camil Muscalu First position: Quantitative researcher, Two Sigma
Tom Kern Thesis: Nonstandard models of the weak second order theory of one successor Advisor: Anil Nerode First position: Visiting Assistant Professor, Cornell University
Robert Kesler Thesis: Unbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators Advisor: Camil Muscalu First position: Postdoctoral Associate, Georgia Institute of Technology
Yao Liu Thesis: Riesz Distributions Assiciated to Dunkl Operators Advisor: Yuri Berest First position: Visiting Assistant Professor, Cornell University
Scott Messick Thesis: Continuous atomata, compactness, and Young measures Advisor: Anil Nerode First position: Start-up
Aaron Palmer Thesis: Incompressibility and Global Injectivity in Second-Gradient Non-Linear Elasticity Advisor: Timothy J. Healey First position: Postdoctoral fellow, University of British Columbia
Kristen Pueschel Thesis: On Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups Advisor: Timothy Riley First position: Postdoctoral Associate, University of Arkansas
Chenxi Wu Thesis: Translation surfaces: saddle connections, triangles, and covering constructions. Advisor: John Smillie First position: Postdoctoral Associate, Max Planck Institute of
David Belanger Thesis: Sets, Models, And Proofs: Topics In The Theory Of Recursive Functions Advisor: Richard A. Shore First position: Research Fellow, National University of Singapore
Cristina Benea Thesis: Vector-Valued Extensions for Singular Bilinear Operators and Applications Advisor: Camil Muscalu First position: University of Nantes, France
Kai Fong Ernest Chong Thesis: Face Vectors and Hilbert Functions Advisor: Edward Swartz First position: Research Scientist, Agency for Science, Technology and Research, Singapore
Laura Escobar Vega Thesis: Brick Varieties and Toric Matrix Schubert Varieties Advisor: Allen Knutson First position: J. L. Doob Research Assistant Professor at UIUC
Joeun Jung Thesis: Iterated trilinear fourier integrals with arbitrary symbols Advisor: Camil Muscalu First position: Researcher, PARC (PDE and Functional Analysis Research Center) of Seoul National University
Yasemin Kara Thesis: The laplacian on hyperbolic Riemann surfaces and Maass forms Advisor: John H. Hubbard Part Time Instructor, Faculty of Engineering and Natural Sciences, Bahcesehir University
Chor Hang Lam Thesis: Homological Stability Of Diffeomorphism Groups Of 3-Manifolds Advisor: Allen Hatcher
Yash Lodha Thesis: Finiteness Properties And Piecewise Projective Homeomorphisms Advisor: Justin Moore and Timothy Riley First position: Postdoctoral fellow at Ecole Polytechnique Federale de Lausanne in Switzerland
Radoslav Zlatev Thesis: Examples of Implicitization of Hypersurfaces through Syzygies Advisor: Michael E. Stillman First position: Associate, Credit Strats, Goldman Sachs
Margarita Amchislavska Thesis: The geometry of generalized Lamplighter groups Advisor: Timothy Riley First position: Department of Defense
Hyungryul Baik Thesis: Laminations on the circle and hyperbolic geometry Advisor: John H. Hubbard First position: Postdoctoral Associate, Bonn University
Adam Bjorndahl Thesis: Language-based games Advisor: Anil Nerode and Joseph Halpern First position: Tenure Track Professor, Carnegie Mellon University Department of Philosophy
Youssef El Fassy Fihry Thesis: Graded Cherednik Algebra And Quasi-Invariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft
Chikwong Fok Thesis: The Real K-theory of compact Lie groups Advisor: Reyer Sjamaar First position: Postdoctoral fellow in the National Center for Theoretical Sciences, Taiwan
Kathryn Lindsey Thesis: Families Of Dynamical Systems Associated To Translation Surfaces Advisor: John Smillie First position: Postdoctoral Associate, University of Chicago
Andrew Marshall Thesis: On configuration spaces of graphs Advisor: Allan Hatcher First position: Visiting Assistant Professor, Cornell University
Robyn Miller Thesis: Symbolic Dynamics Of Billiard Flow In Isosceles Triangles Advisor: John Smillie First position: Postdoctoral Researcher at Mind Research Network
Diana Ojeda Aristizabal Thesis: Ramsey theory and the geometry of Banach spaces Advisor: Justin Moore First position: Postdoctoral Fellow, University of Toronto
Hung Tran Thesis: Aspects of the Ricci flow Advisor: Xiaodong Cao First position: Visiting Assistant Professor, University of California at Irvine
Baris Ugurcan Thesis: LPLP-Estimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs Advisor: Robert S. Strichartz First position: Postdoctoral Fellowship, University of Western Ontario
Anna Bertiger Thesis: The Combinatorics and Geometry of the Orbits of the Symplectic Group on Flags in Complex Affine Space Advisor: Allen Knutson First position: University of Waterloo, Postdoctoral Fellow
Mariya Bessonov Thesis: Probabilistic Models for Population Dynamics Advisor: Richard Durrett First position: CUNY City Tech, Assistant Professor, Tenure Track
Igors Gorbovickis Thesis: Some Problems from Complex Dynamical Systems and Combinatorial Geometry Advisor: Yulij Ilyashenko First position: Postdoctoral Fellow, University of Toronto
Marisa Hughes Thesis: Quotients of Spheres by Linear Actions of Abelian Groups Advisor: Edward Swartz First position: Visiting Professor, Hamilton College
Kristine Jones Thesis: Generic Initial Ideals of Locally Cohen-Macaulay Space Curves Advisor: Michael E. Stillman First position: Software Developer, Microsoft
Shisen Luo Thesis: Hard Lefschetz Property of Hamiltonian GKM Manifolds Advisor: Tara Holm First position: Associate, Goldman Sachs
Peter Luthy Thesis: Bi-parameter Maximal Multilinear Operators Advisor: Camil Muscalu First position: Chauvenet Postdoctoral Lecturer at Washington University in St. Louis
Remus Radu Thesis: Topological models for hyperbolic and semi-parabolic complex Hénon maps Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University
Jenna Rajchgot Thesis: Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane Advisor: Allen Knutson First position: Research member at the Mathematical Sciences Research Institute (fall 2012); postdoc at the University of Michigan
Raluca Tanase Thesis: Hénon maps, discrete groups and continuity of Julia sets Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University
Ka Yue Wong Thesis: Dixmier Algebras on Complex Classical Nilpotent Orbits and their Representation Theories Advisor: Dan M. Barbasch First position: Postdoctoral fellow at Hong Kong University of Science and Technology
Tianyi Zheng Thesis: Random walks on some classes of solvable groups Advisor: Laurent Saloff-Coste First position: Postdoctoral Associate, Stanford University
Juan Alonso Thesis: Graphs of Free Groups and their Measure Equivalence Advisor: Karen Vogtmann First position: Postdoc at Uruguay University
Jason Anema Thesis: Counting Spanning Trees on Fractal Graphs Advisor: Robert S. Strichartz First position: Visiting assistant professor of mathematics at Cornell University
Saúl Blanco Rodríguez Thesis: Shortest Path Poset of Bruhat Intervals and the Completecd-Index Advisor: Louis Billera First position: Visiting assistant professor of mathematics at DePaul University
Fatima Mahmood Thesis: Jacobi Structures and Differential Forms on Contact Quotients Advisor: Reyer Sjamaar First position: Visiting assistant professor at University of Rochester
Philipp Meerkamp Thesis: Singular Hopf Bifurcation Advisor: John M. Guckenheimer First position: Financial software engineer at Bloomberg LP
Milena Pabiniak Thesis: Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Advisor: Tara Holm First position: Postdoctoral associate at the University of Toronto
Peter Samuelson Thesis: Kauffman Bracket Skein Modules and the Quantum Torus Advisor: Yuri Berest First position: Postdoctoral associate at the University of Toronto
Mihai Bailesteanu Thesis: The Heat Equation under the Ricci Flow Advisor: Xiaodong Cao First position: Visiting assistant professor at the University of Rochester
Owen Baker Thesis: The Jacobian Map on Outer Space Advisor: Karen Vogtmann First position: Postdoctoral fellow at McMaster University
Jennifer Biermann Thesis: Free Resolutions of Monomial Ideals Advisor: Irena Peeva First position: Postdoctoral fellow at Lakehead University
Mingzhong Cai Thesis: Elements of Classical Recursion Theory: Degree-Theoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison
Ri-Xiang Chen Thesis: Hilbert Functions and Free Resolutions Advisor: Irena Peeva First position: Instructor at Shantou University in Guangdong, China
Denise Dawson Thesis: Complete Reducibility in Euclidean Twin Buildings Advisor: Kenneth S. Brown First position: Assistant professor of mathematics at Charleston Southern University
George Khachatryan Thesis: Derived Representation Schemes and Non-commutative Geometry Advisor: Yuri Berest First position: Reasoning Mind
Samuel Kolins Thesis: Face Vectors of Subdivision of Balls Advisor: Edward Swartz First position: Assistant professor at Lebanon Valley College
Victor Kostyuk Thesis: Outer Space for Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind
Ho Hon Leung Thesis: K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory Advisor: Reyer Sjamaar First position: Assistant professor at the Canadian University of Dubai
Benjamin Lundell Thesis: Selmer Groups and Ranks of Hecke Rings Advisor: Ravi Ramakrishna First position: Acting assistant professor at the University of Washington
Eyvindur Ari Palsson Thesis: Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator Advisor: Camil Muscalu First position: Visiting assistant professor at the University of Rochester
Paul Shafer Thesis: On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Advisor: Richard A. Shore First position: Lecturer at Appalachian State University
Michelle Snider Thesis: Affine Patches on Positroid Varieties and Affine Pipe Dreams Advisor: Allen Knutson First position: Government consulting job in Maryland
Santi Tasena Thesis: Heat Kernel Analysis on Weighted Dirichlet Spaces Advisor: Laurent Saloff-Coste First position: Lecturer professor at Chiang Mai University, Thailand
Russ Thompson Thesis: Random Walks and Subgroup Geometry Advisor: Laurent Saloff-Coste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute
Gwyneth Whieldon Thesis: Betti Numbers of Stanley-Reisner Ideals Advisor: Michael E. Stillman First position: Assistant professor of mathematics at Hood College
Andrew Cameron Thesis: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations Advisor: Alfred H. Schatz First position: Adjunct instructor of mathematics at Tompkins Cortland Community College
Timothy Goldberg Thesis: Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry Advisor: Reyer Sjamaar First position: Visiting assistant professor of mathematics at Lenoir-Rhyne University
Gregory Muller Thesis: The Projective Geometry of Differential Operators Advisor: Yuri Berest First position: Assistant professor at Louisiana State University
Matthew Noonan Thesis: Geometric Backlund transofrmation in homogeneous spaces Advisor: John H. Hubbard
Sergio Pulido Niño Thesis: Financial Markets with Short Sales Prohibition Advisor: Philip E. Protter First position: Postdoctoral associate in applied probability and finance at Carnegie Mellon University
Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations
Mathematics Theses, Projects, and Dissertations
Theses/projects/dissertations from 2023 2023.
DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim
An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson
Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko
MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud
Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega
Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov
Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez
Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil
KNOT EQUIVALENCE , Jacob Trubey
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
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Theses/Dissertations from 2020. Mathematical Identities of Students with Mathematics Learning Dis/abilities, Emma Lynn Holdaway. Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures, Porter Peterson Nielsen. Student Use of Mathematical Content Knowledge During Proof Production, Chelsey Lynn ...
mathematics education, in the process unearthing common, unexamined assumptions regarding the place and form of mathematics education in contemporary society. In the second part of the dissertation I use the above theoretical framework to re-examine the literature on mathematical word problems. Word problems have interested research
Before the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development ...
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.
During the last few decades, mathematics education researchers have called for studies that focus on the role of the teacher in problem-solving instruction. The purpose of the present study was to investigate the teaching practices used by those who teach through problem solving. Four high school mathematics teachers participated in the study.
2022. Tslil Clingman (E. Riehl) Towards a theory of proof relevant categories. Zongyipoan Lin (D. Savitt) Crystalline lifts of Galois representations. David Myers (E. Riehl) Symmetry, Geometry, Modality. Caroline VanBlargan (Y. Wang) Stability of Quermassintegral Inequalities. Junyan Zhang (H. Lindblad) The Free-Boundary Problems in Inviscid ...
Degree Awarded: PHD Mathematics Education. ... Students should see the school's website for information about qualifier and comprehensive examinations based on math coursework. The doctoral dissertation culminating experience consists of a dissertation prospectus, oral dissertation defense and the submission of a final revised, formatted ...
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 ...
research or working with an advanced PhD student (who is completing their Advanced Research Practicum ... will make an original contribution to an area of research in mathematics education. The dissertation project may be conducted in conjunction with a faculty research project or in an area of the students' choosing, not
Mathematics Education PhD. ... 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. ... Ph.D. dissertations in mathematics education should be (1) experimental studies in ...
A collaborative model for teaching and learning mathematics in secondary schools. Mathematics pass rates in South African schools, as in many developing nations, continue to be a source of concern for educators and policymakers alike. Improving mathematics performance is non-negotiable if Africa is to ...
Dissertation #20 particularly looked into Senior High School mathematics teachers' mathematics content and pedagogical knowledge through a test, analysis of lesson plans, classroom discourse observations, and interviews, while dissertation #28 provided a didactics of mathematics course prototype integrated in the teacher education curriculum ...
Dissertation. As the culmination of the Mathematics Education PhD program, you will complete a dissertation on a research project in mathematics education. You will work with your program advisor to determine a research project that aligns with your academic and career interests. Upon completion of the dissertation, the candidate defends the ...
AN EXPLORATION OF MATHEMATICAL KNOWLEDGE FOR TEACHING GEOMETRIC PROOFS PhD (Mathematics Education) Thesis Submitted to the Department of Curriculum and Teaching Studies, School of Education, in ...
MATHEMATICS EDUCATION? By Daniel Ata-Baah A DISSERTATION Presented to the Department of Mathematics Education Program at Selinus University Faculty Arts & Humanities in fulfilment of the requirements for the degree of DOCTOR OF PHILOSOPHY In Mathematics Education 2020
Quantitative finance informed machine learning . Sabate Vidales, Marc (The University of Edinburgh, 2023-10-13) This PhD thesis consists of two parts. In the first part, we develop and study deep learning-based methods for approximating high-dimensional parabolic (path-dependent) linear PDEs parametrised by the model parameters.
As to the characteristics of the graduate mathematics researches included in the meta-analysis, the following are some important highlights: 1) the educational level of subjects under study is ...
The Mathematics Education Program offers 5 graduate degrees: the MAT (Master of Arts in Teaching), MEd (Master of Education), MA (Master of Arts), EdS (Specialist in Education), and PhD (Doctor of Philosophy). All 5 degrees are offered on the Athens campus and are geared toward people with an interest in the teaching and learning of mathematics ...
A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2022 2021 2020 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. 2023. Melanie Kobras - Low order models of storm track variability Ed Clark - Vectorial Variational Problems in L∞ and Applications ...
Education (EdD) in Mathematics, PhD in Education (Mathematics), PhD in Education with ... the PhD student in his dissertation (#11) involved . students of 4 public and 6 private teacher education ...
Overview: PhD Mathematics & Science Education. The PhD in Education: Curriculum and Instruction offers students opportunities to study in three major areas of concentration: (a) Curriculum Studies; (b) Literacy, Language, and Culture; (c) Mathematics and Science Education.. Students in this PhD program apply to and are admitted to one of these three concentrations.
First Position: Postdoc at the Institution for Advanced Study and Princeton. Max Lipton. Thesis: Dynamical Systems in Pure Mathematics. Advisor: Steven Strogatz. First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology. Elise McMahon. Thesis: A simplicial set approach to computing the group homology ...
Indicators of Future Mathematics Proficiency: Literature Review & Synthesis, Claudia Preciado PDF Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas