Columbia University
Office of Student Affairs
107 Low Library, MC 4304
New York, NY 10027
212-854-6729
Michael Harris
Director of Graduate Studies
Department of Mathematics
Columbia University
2990 Broadway
509 Mathematics, MC 4406
New York, NY 10027
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The Doctor of Philosophy in Curriculum and Instruction with a concentration in Mathematics Education at the University of Wyoming offers advanced coursework for educational professionals interested in pursuing a degree whose advanced study might someday lead them to research-oriented careers, primarily working in university settings.
Courses in the program are offered online, allowing you to pursue the Ph.D. in mathematics education while you continue in your current professional role. Candidates in this program aim to be scholar-leaders for the field of mathematics education at colleges and universities worldwide. As a student in the program, you will begin developing your research agenda under the mentorship of experienced academic researchers.
Learn more about the benefits of gaining your Ph.D. degree in education at UW .
Interested in a doctoral program where you will utilize applied research to solve a current problem of teaching practice? Take a look at our Ed.D in programs in education.
Email Mathematics Education Program Coordinator Dr. Rick Kitchen, [email protected] or take a look at our FAQs page .
ADMISSION Learn how to apply and start your journey today.
CURRICULUM Learn about required classes and requirements.
RESOURCES Find resources for students and faculty members .
FACULTY Meet the supportive teacher preparation faculty team .
Degree requirements.
In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements.
The detailed regulations of the Ph.D. program are the following:
During the first year of the Ph.D. program, the student must enroll in at least 4 courses. At least 2 of these must be graduate courses offered by the Department of Mathematics. Exceptions can be granted by the Vice-Chair for Graduate Studies.
The Preliminary Examination consists of 6 hours (total) of written work given over a two-day period (3 hours/day). Exam questions are given in calculus, real analysis, complex analysis, linear algebra, and abstract algebra. The Preliminary Examination is offered twice a year during the first week of the fall and spring semesters.
To arrange the Qualifying Examination, a student must first settle on an area of concentration, and a prospective Dissertation Advisor (Dissertation Chair), someone who agrees to supervise the dissertation if the examination is passed. With the aid of the prospective advisor, the student forms an examination committee of 4 members. All committee members can be faculty in the Mathematics Department and the chair must be in the Mathematics Department. The QE chair and Dissertation Chair cannot be the same person; therefore, t he Math member least likely to serve as the dissertation advisor should be selected as chair of the qualifying exam committee . The syllabus of the examination is to be worked out jointly by the committee and the student, but before final approval, it is to be circulated to all faculty members of the appropriate research sections. The Qualifying Examination must cover material falling in at least 3 subject areas and these must be listed on the application to take the examination. Moreover, the material covered must fall within more than one section of the department. Sample syllabi can be reviewed online or in 910 Evans Hall. The student must attempt the Qualifying Examination within twenty-five months of entering the PhD program. If a student does not pass on the first attempt, then, on the recommendation of the student's examining committee, and subject to the approval of the Graduate Division, the student may repeat the examination once. The examining committee must be the same, and the re-examination must be held within thirty months of the student's entrance into the PhD program. For a student to pass the Qualifying Examination, at least one identified member of the subject area group must be willing to accept the candidate as a dissertation student.
Degree requirements.
A candidate for the Ph.D. degree in mathematics must fulfill a number of different departmental requirements.
The Ph.D. program also offers students the opportunity to pursue their study and research with Mathematics faculty based at NYU Shanghai. With this opportunity, students generally complete their coursework in New York City before moving full-time to Shanghai for their dissertation research. For more information, please visit the NYU Shanghai Ph.D. page .
Sample course schedules (Years 1 and 2) for students with a primary interest in:
Year I - Fall Term | Year I - Spring Term |
---|---|
Linear Algebra | Topology II |
Differential Geometry I | Differential Geometry II |
Real Variables | Ordinary Differential Equations |
Complex Variables | Functional Analysis I |
Year II - Fall Term | Year II - Spring Term |
---|---|
Advanced Topics in Geometry: Isometric Immersions Before and After Nash | Advanced Topics in Geometry: Randomness and Complexity |
Advanced Topics in Geometry: High Dimensional Expanders and Ramanujan Complexes | Advanced Topics in Geometry: Topics in Geometric Nonlinear Functional Analysis |
Harmonic Analysis | Advanced Topics in Geometry: Analysis and Geometry of Scalar Curvature |
Advanced Topics in PDE: Resonances in PDEs | Advanced Topics in PDE: Analytic Aspects of Harmonic Maps |
Applied Math (Math Biology, Scientific Computing, Physical Applied Math, etc.)
Year I - Fall Term | Year I - Spring Term |
---|---|
Linear Algebra | Applied Stochastic Processes |
PDE I | Asymptotic Analysis |
Fluid Mechanics | Continuum mechanics |
Numerical Methods I | Numerical Methods II |
Year II - Fall Term | Year II - Spring Term |
---|---|
Neurophysiology and Neuronal Networks | Data Analysis |
Complex fluids | Mathematical Physiology |
Real Variables | Geophysical Fluid Dynamics |
Computational Fluid Dynamics | Nonlinear Optimization |
Additional information for students interested in studying applied math is available here .
Probability
Year I - Fall Term | Year I - Spring Term |
---|---|
Stochastic Calculus | Probability: Limit Theorems II |
Probability: Limit Theorems I | Applied Stochastic Analysis |
Real Variables | Advanced Topics in Probability: Random Graphs |
Complex Variables | Advanced Topics in Math Biology:Stochastic Problems in Cellular Molecular and Neural Biology |
Year II - Fall Term | Year II - Spring Term |
---|---|
Advanced Topics in Probability: Ergodic Theory of Markov Processes | Advanced Topics in Geometry: Randomness and Complexity |
Advanced Topics in Probability: Motion in Random Media | Advanced Topics in Probability: Random Matrices |
Advanced Topics in Applied Math: Quantifying Uncertainty in Complex Turbulent Systems | Advanced Topics in Probability: Markov Chain Analysis |
Derivative Securities | Advanced Topics in Numerical Analysis: Monte Carlo Methods |
PDE/Analysis
Year I - Fall Term | Year I - Spring Term |
---|---|
Linear Algebra | Topology II |
PDE I | Ordinary Differential Equations |
Real Variables | PDE II |
Complex Variables | Functional Analysis I |
Year II - Fall Term | Year II - Spring Term |
---|---|
Differential Geometry I | Algebra II |
Harmonic Analysis | Advanced Topics in PDE: Extreme Problems for Elliptic Eigenvalues |
Advanced Topics in Analysis: Calculus of Variations | Advanced Topics in Analysis: Dynamics of the Nonlinear Schroedinger Equation |
Probability: Limit Theorems I | Probability: Limit Theorems II |
The examination tests the basic knowledge required for any serious mathematical study. It consists of the three following sections: Advanced Calculus, Complex Variables, and Linear Algebra. The examination is given on three consecutive days, twice a year, in early September and early January. Each section is allotted three hours and is written at the level of a good undergraduate course. Samples of previous examinations are available in the departmental office. Cooperative preparation is encouraged, as it is for all examinations. In the fall term, the Department offers a workshop, taught by an advanced Teaching Assistant, to help students prepare for the written examinations.
Entering students with a solid preparation are encouraged to consider taking the examination in their first year of full-time study. All students must take the examinations in order to be allowed to register for coursework beyond 36 points of credit; it is recommended that students attempt to take the examinations well before this deadline. Graduate Assistants are required to take the examinations during their first year of study.
For further details, consult the page on the written comprehensive exams .
This examination is usually (but not invariably) taken after two years of full-time study. The purpose of the examination is to determine if the candidate has acquired sufficient mathematical knowledge and maturity to commence a dissertation. The phrase "mathematical knowledge" is intended to convey rather broad acquaintance with the basic facts of mathematical life, with emphasis on a good understanding of the simplest interesting examples. In particular, highly technical or abstract material is inappropriate, as is the rote reproduction of information. What the examiners look for is something a little different and less easy to quantify. It is conveyed in part by the word "maturity." This means some idea of how mathematics hangs together; the ability to think a little on one's feet; some appreciation of what is natural and important, and what is artificial. The point is that the ability to do successful research depends on more than formal learning, and it is part of the examiners' task to assess these less tangible aspects of the candidate's preparation.
The orals are comprised of a general section and a special section, each lasting one hour, and are conducted by two different panels of three faculty members. The examination takes place three times a year: fall, mid-winter and late spring. Cooperative preparation of often helpful and is encouraged. The general section consists of five topics, one of which may be chosen freely. The other four topics are determined by field of interest, but often turn out to be standard: complex variables, real variables, ordinary differential equations, and partial differential equations. Here, the level of knowledge that is expected is equivalent to that of a one or two term course of the kind Courant normally presents. A brochure containing the most common questions on the general oral examination, edited by Courant students, is available at the Department Office.
The special section is usually devoted to a single topic at a more advanced level and extent of knowledge. The precise content is negotiated with the candidate's faculty advisor. Normally, the chosen topic will have a direct bearing on the candidate's Ph.D. dissertation.
All students must take the oral examinations in order to be allowed to register for coursework beyond 60 points of credit. It is recommended that students attempt the examinations well before this deadline.
The oral defense is the final examination on the student's dissertation. The defense is conducted by a panel of five faculty members (including the student's advisor) and generally lasts one to two hours. The candidate presents his/her work to a mixed audience, some expert in the student's topic, some not. Often, this presentation is followed by a question-and-answer period and mutual discussion of related material and directions for future work.
The Department encourages Ph.D. students at any stage of their studies, including the very early stage, to seek summer employment opportunities at various government and industry facilities. In the past few years, Courant students have taken summer internships at the National Institute of Health, Los Alamos National Laboratory, Woods Hole Oceanographic Institution, Lawrence Livermore National Laboratory and NASA, as well as Wall Street firms. Such opportunities can greatly expand students' understanding of the mathematical sciences, offer them possible areas of interest for thesis research, and enhance their career options. The Director of Graduate Studies and members of the faculty (and in particular the students' academic advisors) can assist students in finding appropriate summer employment.
For detailed information, consult the page on the Mentoring and Grievance Policy .
Information about spending a term at the Courant Institute's Department of Mathematics as a visiting doctoral student is available on the Visitor Programs page.
Our graduate program is unique from the other top mathematics institutions in the U.S. in that it emphasizes, from the start, independent research. Each year, we have extremely motivated and talented students among our new Ph.D. candidates who, we are proud to say, will become the next generation of leading researchers in their fields. While we urge independent work and research, there exists a real sense of camaraderie among our graduate students. As a result, the atmosphere created is one of excitement and stimulation as well as of mentoring and support. Furthermore, there exists a strong scholarly relationship between the Math Department and the Institute for Advanced Study, located just a short distance from campus, where students can make contact with members there as well as attend the IAS seminar series. Our program has minimal requirements and maximal research and educational opportunities. We offer a broad variety of advanced research topics courses as well as more introductory level courses in algebra, analysis, and geometry, which help first-year students strengthen their mathematical background and get involved with faculty through basic course work. In addition to the courses, there are several informal seminars specifically geared toward graduate students: (1) Colloquium Lunch Talk, where experts who have been invited to present at the Department Colloquium give introductory talks, which allows graduate students to understand the afternoon colloquium more easily; (2) Graduate Student Seminar (GSS), which is organized and presented by graduate students for graduate students, creating a vibrant mathematical interaction among them; and, (3) What’s Happening in Fine Hall (WHIFH) seminar where faculty give talks in their own research areas specifically geared towards graduate students. Working or reading seminars in various research fields are also organized by graduate students each semester. First-year students are set on the fast track of research by choosing two advanced topics of research, beyond having a strong knowledge of three more general subjects: algebra, and real and complex analysis, as part of the required General Examination. It is the hope that one, or both, of the advanced topics will lead to the further discovery of a thesis problem. Students are expected to write a thesis in four years but will be provided an additional year to complete their work if deemed necessary. Most of our Ph.D.'s are successfully launched into academic positions at premier mathematical institutions as well as in industry .
Jill leclair.
On this page:, at a glance: program details.
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.
Curriculum plan options.
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.
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:
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.
Learn about our programs, apply to a program, visit our campus, application deadlines, learning outcomes.
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:
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.
Indiana University Bloomington Indiana University Bloomington IU Bloomington
Mathematics education, ed.d. in curriculum and instruction – specialization in mathematics education (online).
The 60-credit, post-masters Ed.D. degree is for experienced mathematics teachers, instructional leaders, and others wishing to pursue a doctorate focusing on mathematics education. This fully online program offers flexibility for working professionals from across the U.S. and around the world. Courses are taught by world-renowned mathematics education faculty. Courses focus on:
Summer | Feb 1 | |
|
The Graduate Studies Office will accept unofficial transcripts and self-reported test scores for admission reviews. Any admission made with these documents would be conditioned on receipt of official documents, which should be provided as soon as possible.
If you are currently enrolled or have applied in the past year, you are eligible for a reduced application fee of $35. Learn more »
Learn more about how to apply
Costs listed are per credit hour.
Indiana Resident | $500.17 | $39.00 | $539.17 |
Non-resident | $599.51 | $39.00 | $638.51 |
Indiana Resident | $520.17 | $39.00 | $559.17 |
Non-resident | $623.49 | $39.00 | $662.49 |
Find more information and calculate your expected costs at Student Central .
Below is a list of potential resources for graduate students. Note: graduate assistantships are generally intended for students studying and working on the Bloomington campus.
for admittance into this program
Ashley Powell is a K–12 instructional coach in the metro Atlanta area, where she develops and facilitates mathematics professional learning.
Meet more students
Associate professor.
Executive associate dean.
Affiliated faculty.
Associate professor, adjunct associate professor in africana studies.
Associate professor, dept. chair of urban teacher education.
Amy Hackenberg Professor ED 3060 ahackenb@iu.edu (812) 856-8223
Additional links and resources.
Indiana University Bloomington School of Education
SoE Knowledge Base
SoE Intranet (Legacy)
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.
Displaying requirements for the Spring 2025, Summer 2025, and Fall 2025 terms.
Entry Term Available | Priority Deadlines | Final Deadlines | Extended Deadlines |
---|---|---|---|
Spring | November 15, 2024 | November 15, 2024 | N/A |
Summer | December 1, 2024 | June 1, 2025 | N/A |
Fall | December 1, 2024 | July 1, 2025 | N/A |
Select programs remain open beyond our standard application deadlines , such as those with an extended deadline or those that are rolling (open until June or July). If your program is rolling or has an extended deadline indicated above, applications are reviewed as they are received and on a space-available basis. We recommend you complete your application as soon as possible as these programs can close earlier if full capacity has been met.
Requirement | |
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, including Statement of Purpose and Resume | |
Results from an accepted (if applicable) | |
$75 Application Fee | |
Two (2) Letters of Recommendation |
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.
Program Director : Professor Alexander Karp
Teachers College, Columbia University 323 Thompson
Phone: (212) 678-3381 Fax: (212) 678-8319
Email: tcmath@tc.edu
Mathematics education.
Criteria | Ph.D. | Ed.D. |
---|---|---|
Focus | Research skills | Development of scholarly practitioners |
Ideal for | Those interested in academic careers, research, and teaching at the university level | Practitioners aiming for leadership roles in education settings |
Career path examples | Academic faculty positions (e.g., professor); Researcher in government or private firms | Professional leadership roles (e.g., in school districts); Teacher educator (e.g., faculty at community or local colleges) |
Location | On-campus only, a few courses online | All online |
Coursework | Focused on research methodology, theory, and content | Focused on content, application, and practical research |
Time | 3 – 4 years full time (2 years of coursework, 1-2 years of research) | 4 years, completed while you work full time |
Final Exam | Dissertation (Empirical research) | Record of study (Community-based research) |
Today’s elementary, middle, secondary and university mathematics research, instruction and curriculum embrace a variety of strategies and technologies. The TLAC graduate program in mathematics education includes work with the latest research findings, curriculum developments, computer-based teaching tools, internet and web-based sources and information technologies such as modeling, visualization and data management. Program characteristics include:
Students come from a variety of backgrounds, possess a wide array of experiences and achieve national exposure before graduation. As a result of mentorship by mathematics education faculty and through participation in extant research projects, graduate students will present their work at local, regional and national conferences as well as publish in relevant journals.
To be admitted to a graduate program, you must apply to the TLAC department and Texas A&M University.
Degree: Curriculum & Instruction Emphasis: Mathematics Education Degrees Offered: Doctor of Philosophy (Ph.D.) Credit Hours: 64
Select College of Education and update credit hours.
For a better understanding of your total cost of attendance (COA), please visit our cost and tuition rates webpage ( https://aggie.tamu.edu/billing-and-payments/cost-and-tuition-rates ). This webpage will provide you with an opportunity to review estimated COA information for undergraduate, graduate and professional students, as well as other resources such as the tuition calculator and billing and fee explanations.
Download Curriculum
The Ph.D. degree plan includes quality course work and research experiences, preparing students to be involved in mathematics education research.
The program encompasses core courses and specialized study in mathematics education, leading to a dissertation on an original research question. Students may pursue individual interests, while joining in ongoing research projects of the Mathematics Education faculty.
Download the TLAC Graduate Student Handbook
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Which doctoral degree is right for me, ph.d. or ed.d..
Please visit our web page at https://tlac.tamu.edu/academics/online-ed-d/#program-comparison to view the key components of the Ph.D. and Ed.D. programs.
Please feel free to contact our Graduate Advising Office with any questions you may have. Our office information can be found at https://tlac.tamu.edu/student-services/graduate-advising .
Please visit our web page at https://tlac.tamu.edu/admissions/masters-admissions or https://tlac.tamu.edu/admissions/doctoral-admissions for step-by-step information about applying for our master’s and doctoral programs.
How to Apply: Master’s Application Information | Doctoral Application Information
Prospective students are encouraged to apply as soon as possible!
Yes, we accept in-state and out-of-state applicants.
Yes, there are opportunities for financial assistance through the Office of Scholarship and Financial Aid at https://financialaid.tamu.edu .
You can base the cost of attendance on 64 graduate credit hours (for doctoral students).
GRE is only required for Ed.D. applicants.
Can't find what you are looking for?
The doctoral degree in Mathematics Education prepares graduates to engage deeply in the research and practice of mathematics and STEM education and become leaders and advocates of inclusive, antiracist, and equitable mathematics learning.
This program, a partnership between the School of Education and Department of Mathematics , provides students with direct mentorship from mathematics education faculty as well as faculty in the areas of education and mathematics. Faculty are actively engaged in research around the teaching and learning of mathematics, and students are encouraged to work closely with faculty members on their research.
Suggested Application Deadline: January 15 or October 1 | More admissions information
Mathematics Education develops a community of scholars among faculty and students. We generally have around 10 doctoral students at various stages in the program from across the country and around the world; typically, half are international students. A weekly research seminar is held to connect all faculty and students.
Expertise in teaching and instruction is also developed through graduate assistantship and intern opportunities, and with participation in the Future Professoriate Program . This includes orientations, year-round services for teaching assistants, and opportunities to co-teach with fellow doctoral students and department faculty, guest lecture, and independent instruction. Students have many opportunities for pedagogical development and feedback through teaching and tutoring.
This program prepares students with strong mathematical interests and experiences for roles in research on the teaching and learning of mathematics, teacher preparation and professional development, and teaching mathematics and mathematics education courses.
Download the Curriculum for Applied Mathematics, Ph.D.
Find out what courses you'll be taking
Graduates with a master's in applied mathematics can expand their subject matter expertise by choosing a PhD in applied mathematics at Florida Tech. As one of only 30 applied mathematics programs in the United States, Florida Tech's doctoral program offers several specializations in the field, including nonlinear analysis, stochastic analysis, optimization, numerical analysis, scientific computing, and statistics.
In addition to the areas of specialization, Florida Tech provides additional flexibility in its PhD in applied mathematics program, allowing doctoral students to design a curriculum that fits their specific research interests and career goals. As a national research university, Florida Tech is committed to providing students with a variety of applied mathematics research experiences, opening up careers in a wide range of industries.
Students in the PhD in applied mathematics program at Florida Tech work closely with professors and fellow students. A small faculty-to-student ratio creates a close-knit academic community that is often impossible at larger universities. Professors in the math department have doctoral degrees in applied and computational mathematics and statistics. Professors—not graduate students—teach all courses, supervise student research projects, and conduct their own meaningful research studies that are often open for student collaboration.
As in any doctoral program, research is the core of the academic program. The PhD in applied mathematics program explores many applied mathematics topics. Research is conducted in areas of science, engineering, medicine, and business through interdisciplinary teams, as well as in the areas of concentration needed for the doctoral degree program. Students take part in research projects such as dynamical systems and chaos theory, stem cell research, computational number theory, optimal control and inverse problems, and antagonistic stochastic games, to name a few.
Full-pay tuition scholarships are available for full-time doctoral graduate research assistants.
The facilities and resources available for doctoral students at Florida Tech include access to the engineering and science labs, four mathematics labs that feature advanced software such as Wolfram Mathematica, MATLAB, the R Project, Sage, and IBM SPSS. Additionally, the new computational mathematics and statistics research lab includes a 55-inch touchscreen Mondopad.
Many doctoral students in the PhD in applied mathematics program are working professionals living in close proximity to the campus in Melbourne, Florida. The university is also a top pick among students around the world for its location within the Florida High Tech Corridor–home to more than 5,000 high-tech companies and the fifth largest high-tech workforce in the nation.
Graduates with a PhD in applied mathematics work in a variety of fields ranging from engineering and science to medicine and economics. Some examples of the organizations, corporations, and research institutes that hire mathematicians include government labs, electronics and computer manufacturers, medical device companies, and financial services firms.
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Program Code: PH6245
The PhD in Mathematics Education develops scholars who study teaching, learning, and assessment in mathematics—kindergarten through college. The program prepares these scholars to act as stewards of the field of mathematics education, with all its complexity and diversity. The program participants conduct research in curriculum, instruction, learning, assessment, professional development, teacher beliefs, and student attitudes. Students in the PhD program not only learn how to conduct such research but also serve in apprenticeship roles in teacher preparation and professional development to prepare them for university faculty positions and other leadership roles in mathematics education. The program in is built on a common foundation of learning theory, the social and cultural contexts of education, curriculum and instruction theory, the moral and ethical dimensions of leadership, and quantitative and qualitative research methods.
It is expected that all students completing a doctoral degree in Mathematics Education will demonstrate knowledge and skills in a common core of competencies plus an area of specialization and successfully complete a dissertation. For each individual scholar, coursework serves as the basis for investigating a significant educational issue that will advance the field of Mathematics Education and prepare the student for future research. Every student in the PhD program in Mathematics Education has the opportunity to construct a highly individualized program based on each scholar’s career goals. Specializations are available based on the expertise of doctoral faculty. This program can be completed on a full- or part-time basis. As a full-time program, degree completion in 4–5 years is typical.
Application Process
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Greg Foley Program Coordinator Patton Hall 321D 740.593.4430
Frans Doppen Graduate Doctoral Coordinator Patton Hall 309EE 740.593.0254
Learning outcomes.
Minimum Total Credits: 76 semester credit hours including the dissertation Students completing the program full-time (12 hours per semester), typically complete the program in 4–5 years and are typically in residence at the Athens campus of Ohio University at least 2 years.
Foundations Core: minimum 5 semester hours
Teaching & Learning Core: minimum 15 semester hours
Research Core: minimum 22 semester hours
Mathematics Education Specialization: minimum 24 semester hours
Dissertation: minimum 10 semester hours
It is expected that all candidates completing a doctoral degree in the Department of Teacher Education will propose, conduct, and prepare a comprehensive written report of an individually designed research study addressing a significant educational issue that will advance the field of mathematics education and will prepare the scholar for future research.
Mathew Felton-Koestler
Allyson Hallman-Thrasher
Courtney Koestler
Full-time, Part-time
December 3, 2024
June 30, 2025
The Ph.D. in Teaching and Learning, Policy and Leadership, with a specialization in Mathematics and Science Education is designed to inspire and prepare the next generation of researchers and transformative practitioners in K-16 mathematics and science education.
As a student in this program, you’ll delve into both traditional and cutting-edge research in mathematics and science education, explore theories of individual and social cognition, and learn about teacher education. You’ll gain expertise in research methods that are essential for mathematics and science education, while connecting theory, research and practice.
You'll also develop your own skills as a mathematical and scientific thinker. The curriculum includes rigorous and engaging courses that cover teaching, learning, policy, and teacher preparation in mathematics and science to help strengthen your skills as a mathematical and scientific thinker. You can also choose more specialized courses focused on either mathematics or science education. Plus, there are opportunities to take courses in STEM policy and leadership.
Our program is uniquely positioned in one of the most diverse regions in the country and our faculty have strong connections with the largest school districts in Maryland. This gives you the chance to receive real-world experience and to engage directly with students in urban school environments.
Information on admissions and application to this program can be found on the University Graduate Admissions website and the program handbook.
Admission Requirements Guide to Applying
Sharon Fries-Britt, Professor
On average, our program takes at least three years to complete, with five years being a typical timeline.If you have a master’s degree, you will take a minimum of 60 credits. If you do not have a master’s degree, you will take a minimum of 70 credits and work with your advisor to develop an individualized plan that seamlessly blends master’s level and doctoral level coursework.
You will take a two-course “departmental core” sequence introducing you to educational research and helping you refine your research interests; four courses on approaches to conducting research; five courses on mathematics and science education, and elective courses chosen to help you pursue your academic and career interests.
Our faculty are chosen for their expertise and dedication; they provide exceptional guidance and support to foster your academic and professional success.
Mathematics Education Specialization
Center for Mathematics Education Faculty Listing
Science Education Specialization
Center for Science and Technology Education Faculty Listing
For more information about the admissions process, please contact: Kay Moon Graduate Coordinator [email protected]
For math-specific questions, please contact:: Andrew Brantlinger Associate Professor [email protected]
For science-specific questions, please contact: Andrew Elby Professor [email protected]
Sep 17 Graduate Fair Expo Sep 17, 2024 4:00 – 6:00 pm
Sep 25 COE Open House Sep 25, 2024 11:00 am – 2:00 pm Benjamin Building Courtyard
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Examples of positions you can hold with a PhD in Mathematics. The best Mathematics Online PhD programs. 1. University of Wyoming: Online PhD in Mathematics Education. 2. Bircham International University: Doctor - Mathematics. 3. The University of Wolverhampton: PhD Postgraduate research in Computing and Mathematics. 4.
Learn about the best online PhD programs in mathematics, covering information technology, data science, education, and business analytics. Find out the admission requirements, tuition costs, and career paths for online mathematics PhD graduates.
PhD Program. More information and a full list of requirements for the PhD program in Mathematics can be found in the University Bulletin. During their first year in the program, students typically engage in coursework and seminars which prepare them for the Qualifying Examinations. Currently, these two exams test the student's breadth of ...
A math PhD program could help you grow your professional qualifications in this lucrative field. Much like with a masters in mathematics online program, earning a PhD in Mathematics online could be a more flexible and convenient format for working professionals. The professional applications of an advanced mathematics degree are diverse.
Applied and Computational Math Program Overview. Johns Hopkins Engineering for Professionals online applied and computational mathematics master's is one of the premier graduate degree options in our top-ranked online engineering master's program and a leading computational mathematics master's program in the industry. The advanced-level curriculum teaches students the key steps to ...
The Applied Mathematics PhD Program has a very strong track record in research and training. Placement of PhD students has been outstanding, with recent PhD students taking tenure-track/tenured faculty jobs at institutions such as Carnegie Mellon, Columbia, Drexel, Purdue, Tsinghua, UC Santa Cruz, Utah, Washington and alike, as well as private sector jobs in leading financial and high-tech ...
The pure math PhD admissions application is open. The application submission deadline is December 15, 2024. For information on admissions and financial support, please visit the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.. Harvard Griffin GSAS is committed to ensuring that our application fee does not create a financial obstacle. . Applicants can determine eligibility for ...
Guide to Graduate Studies. The PhD Program. The Ph.D. program of the Harvard Department of Mathematics is designed to help motivated students develop their understanding and enjoyment of mathematics. Enjoyment and understanding of the subject, as well as enthusiasm in teaching it, are greater when one is actively thinking about mathematics in ...
If the PhD student is admitted to the post-MA PhD program, then eight courses are usually required. All course must be MA 500+, with at least half being MA 700+. PhD students in Pure & Applied Mathematics must also take the MA Preliminary Exam and pass it at the PhD level.
The Department of Mathematics offers a program leading to the degree of Doctor of Philosophy. The PhD program is an intensive course of study designed for the full-time student planning a career in research and teaching at the university level or in quantitative research and development in industry or government. Admission is limited and highly ...
The Doctor of Philosophy in Curriculum and Instruction with a concentration in Mathematics Education at the University of Wyoming offers advanced coursework for educational professionals interested in pursuing a degree whose advanced study might someday lead them to research-oriented careers, primarily working in university settings.
In outline, to earn the PhD in either Mathematics or Applied Mathematics, the candidate must meet the following requirements. During the first year of the Ph.D. program: Take at least 4 courses, 2 or more of which are graduate courses offered by the Department of Mathematics. Pass the six-hour written Preliminary Examination covering calculus ...
The Ph.D. program also offers students the opportunity to pursue their study and research with Mathematics faculty based at NYU Shanghai. With this opportunity, students generally complete their coursework in New York City before moving full-time to Shanghai for their dissertation research. For more information, please visit the NYU Shanghai Ph ...
Our graduate program is unique from the other top mathematics institutions in the U.S. in that it emphasizes, from the start, independent research. Each year, we have extremely motivated and talented students among our new Ph.D. candidates who, we are proud to say, will become the next generation of leading researchers in their fields. While we ...
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.
The fully online program is for experienced mathematics teachers, instructional leaders, and others wishing to pursue a doctorate focusing on mathematics education. The program offers flexibility for working professionals from across the U.S. and around the world. Courses are taught by world-renowned mathematics education faculty.
Gideon Simpson, PhD. Graduate Program Adviser. Korman Center - Room 262. [email protected]. 215.895.1849. Apply for a PhD in Mathematics or visit our campus to get firsthand information about Drexel and the city of Philadelphia. The Math PhD program at Drexel consists of internationally recognized research experts.
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.
Program Details. Degree: Curriculum & Instruction. Emphasis: Mathematics Education. Degrees Offered: Doctor of Philosophy (Ph.D.) Credit Hours: 64. Tuition calculator. Select College of Education and update credit hours. For a better understanding of your total cost of attendance (COA), please visit our cost and tuition rates webpage (https ...
The doctoral degree in Mathematics Education prepares graduates to engage deeply in the research and practice of mathematics and STEM education and become leaders and advocates of inclusive, antiracist, and equitable mathematics learning. This program, a partnership between the School of Education and Department of Mathematics, provides students with direct mentorship from mathematics ...
University of Wyoming. The University of Wyoming offers both Ed.D. and PhD in Math Education programs online. The Ed.D. program is an applied program, meaning there's a heavier focus on application than research. It prepares students to become hands-on mathematics leaders in school districts or other academic settings.
The PhD in applied mathematics program explores many applied mathematics topics. Research is conducted in areas of science, engineering, medicine, and business through interdisciplinary teams, as well as in the areas of concentration needed for the doctoral degree program. Students take part in research projects such as dynamical systems and ...
Doctorate in Mathematics Education. Program Code: PH6245. The PhD in Mathematics Education develops scholars who study teaching, learning, and assessment in mathematics—kindergarten through college. The program prepares these scholars to act as stewards of the field of mathematics education, with all its complexity and diversity.
With a doctoral degree in Teaching and Learning, Policy and Leadership with a specialization in Mathematics and Science Education, you will advance your science and math knowledge through theory, research and practice. Our program blends traditional and cutting-edge research that will help you gain knowledge and skills in policy, leadership, law, economics, and research necessary to transform ...
International Students • Undergraduate GPA of 3.0 • Graduate GPA of 3.0 (if applicable) • GRE is required; minimum test score of 157 on the Quantitative Reasoning section (Temporarily waived thru Fall 2024) • Three letters of recommendation • BA degree in Mathematical Science or related field required • Statement of personal objectives in essay form • A general evaluation of ...
In our tests, the next model update performs similarly to PhD students on challenging benchmark tasks in physics, chemistry, and biology. We also found that it excels in math and coding. In a qualifying exam for the International Mathematics Olympiad (IMO), GPT-4o correctly solved only 13% of problems, while the reasoning model scored 83%.