Math Ed PhD Program

A.**COURSE REQUIREMENTS**

The course requirements are 36 units of graduate credit in mathematics courses, 12 graduate units in a minor in education, and 9 units of practicum.

__Courses in Mathematics__: Students will take 18 units in the first year graduate core courses in
Algebra (Math 511 a, b), Real Analysis (Math 523A and Math 523B) and Topology-Geometry (Math 534A and Math 534B).
Six units need to be taken in a year-long math course sequence, which cannot be a dual numbered or part of the
required core. The remaining 12 units will be classes in mathematics education research and related courses. They will be chosen in
consultation with an advisor and may consist of Math 506A, Math 506B, Math 506C or independent study courses or related
course in mathematics education in other departments.

__Courses in Education (or related field)__: The 12 units in education (or related) will be chosen in
consultation with an advisor to ensure a coherent program of study. These courses will be primarily
in Education. Courses in psychology, anthropology, sociology, women's studies, may also be appropriate
depending on the student's research focus.

Courses in research design (6 units): LRC 605, EDP 560

Courses in educational research/practice (6 units): TTE 521; 539; 545; 611; 640; LRC 640

__Teaching Experience or Practicum__: Two or more years of pre-college (K-12) teaching experience are required.
If the 2+ years of teaching experience is not met, students are required to take 9 units of practicum in
local schools. Three of the units will be at the elementary school level, 3 units at the
middle school, and 3 units at the high school.

B. **PROGRAM OF STUDY**

The same stipulations as given for the PhD program in Mathematics.

C. **QUALIFYING EXAMINATION**

Same as for the PhD program in Mathematics.

D. **PRELIMINARY (COMPREHENSIVE) EXAMINATION**

Both the written and oral portions of the Comprehensive Examination must be completed within two years of successful completion of the Qualifying Examinations. Dissertation credit hours may not be taken until after successful completion of the Comprehensive Examination.

For the written portion of the Comprehensive Examination, the student will either (1) write two papers (expected length is 25-35 pages per paper, double-spaced, including references) in response to questions submitted by the doctoral committee memebers in the student's major area of study, or (2) write a research report based on a pilot study conducted in preparation for the dissertation research. The research report must contain the following sections: introduction, literature review, methodology, findings, and discussion/implications. Regardless of which option is selected, the student must also satisfy the written Comprehensive Examination for the minor (e.g. write a paper in response to a question submitted by the minor advisor).

The oral portion of the Comprehensive Examination begins with a presentation (approximately 20 minutes) by the student in which the student demonstrates their knowledge of the field and depth of thinking related to one or more of the areas covered by the written portion of the examination. During the remainder of the oral Comprehensive Examination the student responds to questions posed by the committee members. The student is expected to display both depth and breadth of knowledge, as well as the ability to synthesize ideas and view knowledge critically.

E. **LANGUAGE REQUIREMENT**

The language requirement is fulfilled by passing examinations in two of the following: French, German, Spanish or Russian. Students may substitute a computer programming examination for one of these languages.

F. **DISSERTATION **

Same guidelines as for the PhD program in Mathematics. The dissertation will be in mathematics education.

G. **FINAL ORAL EXAMINATION**

Same as for the PhD program in Mathematics.