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Course Work Requirements

Students beginning the program are expected to have an undergraduate degree in Mathematics, Mathematics Education, or a related field. Students, especially those with a degree in a related field other than Mathematics or Mathematics Education, may need to take doctoral leveling courses. This would be decided on a case by case basis by the appropriate Advisor and would be articulated at the time of admission.


Type of Courses Credit hours
A Core Courses 36
B Elective Courses 24
C Dissertation 18
Total semester credit hours 78

Each student is required to pass 36 hours of core courses, a minimum of 24 hours of elective courses, and a minimum of 18 hours of dissertation, yielding a minimum of 78 hours in course work. No grade earned below a “B” on any graduate course may apply toward a Ph.D. at Texas State. However, a student’s doctoral program requirements may be modified as a result of a change to their research goals or performance in the qualifying exams.


A. Core Courses: Core courses are divided into two groups. The first group consists of the following ten courses (30 hours). All students are required to pass all of the courses in this group.
MATH 7302 History of Mathematics/Mathematics Education
MATH 7303 Analysis I
MATH 7306 Current Research in Mathematics Education
MATH 7307 Algebra I
MATH 7309 Topology I
MATH 7324 Curriculum Design and Analysis
MATH 7325 Statistics I
MATH 7328 Instructional Techniques and Assessments
MATH 7346 Quantitative Research
ED 7352 Beginning Qualitative Design and Analysis

The second group of core courses consists of the following four courses. Each student must choose two courses (6 hours) from this group of core courses with approval of the graduate advisor.
MATH 7321 Graph Theory
MATH 7331 Combinatorics
MATH 7356A Advanced Quantitative Research
MATH 7356B Advanced Qualitative Research

B. Elective Courses: Each student must choose at least eight courses (24 hours) from the following elective courses. A student may elect, with approval of the student’s dissertation advisor, three hours from other departments in addition to the courses listed here. Note that topics-courses may be repeated provided the topics differ. Students’ choice of courses must be approved by the graduate advisor.
MATH 7188 Seminar in Mathematics Education
MATH 7313 Analysis II
MATH 7317 Algebra II
MATH 7319 Topology II: Algebraic Topology
MATH 7321 Graph Theory
MATH 7331 Combinatorics
MATH 7335 Statistics II: Linear Modeling
MATH 7366A Teaching Post-Secondary Students
MATH 7366B Teaching K-12 Students
MATH 7366C Teaching Teachers
MATH 7366D Teaching Specialized Content
MATH 7371A Advanced Graph Theory
MATH 7371B Advanced Combinatorics
MATH 7371C Combinatorial Number Theory
MATH 7371D Discrete Optimazation
MATH 7371E Algorithms and Complexity
MATH 7371F Probabilistic Methods in Discrete Mathematics
MATH 7371G Combinatorial Networks
MATH 7378A Problem Solving, Reasoning, and Proof
MATH 7378B Connecting and Communicating Math
MATH 7378C Representing Fundamental Math Ideas (Function, Data Analysis, and Enumeration)
MATH 7378D Math Technologies
MATH 7386 Independent Study in Mathematics Education
MATH 7389 Internship

C. Dissertation: A student must register for a minimum of 18 hours of Dissertation coursework.
MATH 7199 Dissertation in Mathematics Education
MATH 7299 Dissertation in Mathematics Education
MATH 7399 Dissertation in Mathematics Education
MATH 7599 Dissertation in Mathematics Education
MATH 7699 Dissertation in Mathematics Education
MATH 7999 Dissertation in Mathematics Education


Teaching Experience: Each student in the Mathematics Education program is expected to have two years teaching experience. A student who has taught for two or more years at full-time status in the public school system will be considered to have met this requirement. A student who has not met this requirement upon admission will be required to gain practical teaching experience before graduation. If a student receives a Teaching Assistantship while in the program, each long term during which the student has a two-course assignment will count as one half of a year of experience. A student who teaches two summer sessions will be given credit for one long semester. In the event that a student has other forms of practical teaching experience, the Mathematics Education Advisor will determine the amount of credit received on an individual basis.

Semester Hour Requirements: The student must complete 60 semester hours of graduate work to meet the minimum requirements for advancement to candidacy and then a minimum of 18 hours of dissertation courses to complete the degree for a minimum of 78 hours. In some cases, a student may need to complete additional hours before being allowed to advance to candidacy. The student must have satisfied the residency requirement of 18 graduate credit hours.

Degree Audit: Each Ph.D. student is issued a preliminary degree audit by the Office of the Graduate College which should be used to plan the student's course of study. In the first term of enrollment, students should review the degree audit in consultation with their supervising professor and the Program Director. Doctoral Degree Audits are tailored with the individual student in mind. It is therefore possible for the individual Degree Audit to exceed the number of degree hours identified in the catalog.

Qualifying Examination: Typically, after completion of the core courses or by the end of the second year in residence, each student will be required to take written qualifying examinations. To be eligible to take the qualifying examinations, the student normally will have a minimum grade point average of 3.5 on all the core courses including the transferred equivalent courses that the student has completed. A student will choose two of the following topics to be on his or her qualifying examinations: Algebra, Analysis, Topology, Statistics, and Discrete Mathematics. Mathematics Education will be the third topic.

Comprehensive Examination: Students will have an additional written comprehensive examination and an oral examination in Mathematics Education. These examinations will occur within two weeks of each other with the oral examination following the written examination. A student is expected to take these examinations after all other criteria for advancement to candidacy have been met.