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Graduate Catalog 2022-2023

Educational Mathematics Ph.D.

Program Overview

College of Natural and Health Sciences

See “Educational Mathematics Ph.D.

Master’s Degree en route to the Ph.D.

Students may apply for admission to the Ph.D. in Educational Mathematics and complete the M.A. in Mathematics - Liberal Arts Concentration on the way to completion of the doctoral program. Once admitted, the student will work closely with their academic advisor to develop a Plan of Study that meets both M.A. and Ph.D. program requirements. Students must complete all program requirements for the M.A. in addition to the hours required for the Ph.D.  However, for students enrolled in the doctoral program prior to Fall 2023, up to 18 hours of MATH, MED or SRM courses at the 500 level or above from their degree program for the M.A. in Mathematics - Liberal Arts Concentration can be applied toward their Educational Mathematics Ph.D. plan of study.  These credit hours will be counted toward both degrees.

Students must be conferred with the M.A. degree prior to admission to doctoral candidacy.

Degree Requirements — 64 Credits

Mathematics Content Core — 21 semester hours

A. Required Courses — 6 hours

MATH 709Abstract Algebra I

3

MATH 735Real Analysis

3

B. Elective Courses — 15 hours chosen from the following courses:

MATH 622Directed Studies

1- 4

MATH 723Abstract Algebra II

3

MATH 728Topics in Discrete Mathematics

3

MATH 732Complex Variables

3

MATH 733Geometric Analysis

3

MATH 791Number Theory

3

MATH 778Mathematical Logic

3

MATH 795Special Topics

3

At most, two courses may be included from the following: (The two courses may both come from Category I but at most one course can be from Category II.)

Category I

MATH 525Linear Algebra I

3

MATH 532Basic Analysis II

3

MATH 540Introduction to Topology

3

MATH 543Modern Geometry

3

Category II

MATH 528Discrete Mathematics

3

MATH 529Mathematical Problem Solving

3

MATH 531Basic Analysis I

3

MATH 560Introductory Complex Variables

3

Mathematics Education Research Core — 18 hours

A. Required Courses — 12 hours

MED 610Survey of Research in Mathematics Education

3

MED 700Cognitive Processes in Mathematics

3

MED 701Quantitative Research in Mathematics Education

3

MED 702Qualitative Research in Mathematics Education

3

B. Elective Courses — 6 hours chosen from the following courses:

(Advisor must approve courses)

MED 622Directed Studies

1- 3

MED 674Teaching and Learning Mathematics on the Secondary Level

3

MED 675Teaching and Learning Mathematics on the Post-Secondary Level

3

MED 678Special Topics

2- 3

MED 703Teaching and Learning K-12 Mathematics

3

MED 750History and Philosophy of Mathematics Education

3

Required Research Content Core — 9 hours

A. Required Courses — 6 hours

SRM 502Applied Statistics

3

SRM 680Introduction to Qualitative Research

3

B. Electives — 3 hours

Take any SRM or MED course at the 600 level or higher, or, with advisor's approval, any university-wide course at the 600 level or higher.

Research Proposal/Dissertation — 16 hours

MATH 797Doctoral Proposal Research

1- 4

MATH 799Doctoral Dissertation

1-12

MATH 797: Must take 4 credits but they can be split between different semesters.

MATH 799: Must take 12 credits but they can be split between different semesters.

Research Tools

This program includes the following required research tools: (A) Applied Statistics, which is fulfilled by successful completion of SRM 502 (3 hours); (B) Qualitative Research Methods, which is fulfilled by successful completion of SRM 680 and MED 702 (6 hours total).  These requirements will be satisfied by successfully completing the courses already required above.

Program Notes

Students in this program must pass written comprehensive exams in mathematics and mathematics education followed by an oral comprehensive exam over their entire program. A document describing examination procedures may be obtained from the program office or the program website.

A student in this program is required to write a scholarly dissertation. Dissertation topics may range from mathematics with pedagogical applications to topics in educational mathematics such as cognitive processes, educational reform and instructional issues.