# Educational Mathematics Ph.D.

**College of Natural and Health Sciences **

**Degree Requirements — 71 Credits **

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 their M.A. in Mathematics with either a Liberal Arts Emphasis or Teaching Emphasis 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. Students must be conferred with the M.A. degree prior to admission to doctoral candidacy.

## Degree Requirements

### Ph.D. Requirements

Mathematics Content Core — 27 semester hours

### A. Required Courses - 12 hours

MATH 709 | Abstract Algebra I | 3 |

MATH 723 | Abstract Algebra II | 3 |

MATH 732 | Complex Variables | 3 |

MATH 735 | Real Analysis | 3 |

### B. Minimum of 15 hours chosen from the following courses:

MATH 622 | Directed Studies | 1 - 4 |

MATH 700 | Advanced Seminar | 2 |

MATH 727 | Representation Theory | 3 |

MATH 728 | Topics in Discrete Mathematics | 3 |

MATH 733 | Geometric Analysis | 3 |

MATH 736 | Real Analysis II | 3 |

MATH 744 | Differential Geometry | 3 |

MATH 764 | Difference Equations and Chaos | 3 |

MATH 778 | Mathematical Logic | 3 |

MATH 791 | Number Theory | 3 |

MATH 795 | Special 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 525 | Linear Algebra I | 3 |

MATH 532 | Basic Analysis II | 3 |

MATH 540 | Introduction to Topology | 3 |

### Category II

MATH 528 | Discrete Mathematics | 3 |

MATH 529 | Mathematical Problem Solving | 3 |

MATH 531 | Basic Analysis I | 3 |

MATH 543 | Modern Geometry | 3 |

MATH 560 | Introductory Complex Variables | 3 |

### Research Core — 12 hours

MED 610 | Survey of Research in Mathematics Education | 3 |

MED 700 | Cognitive Processes in Mathematics | 3 |

MED 701 | Quantitative Research in Mathematics Education | 3 |

MED 702 | Qualitative Research in Mathematics Education | 3 |

### Educational Core — 10 hours (minimum)

### A. Required Courses (4 hours)

MED 703 | Teaching and Learning K-12 Mathematics | 3 |

MED 710 | Seminar in Post-Secondary Mathematics Teaching | 1 |

### B. Elective Courses (6 hours)

(Advisor must approve courses)

MED 622 | Directed Studies | 1 - 3 |

MED 630 | Technology in Mathematics Education | 2 |

MED 673 | Teaching and Learning Mathematics on the Elementary Level | 3 |

MED 674 | Teaching and Learning Mathematics on the Secondary Level | 3 |

MED 675 | Teaching and Learning Mathematics on the Post-Secondary Level | 3 |

MED 678 | Special Topics | 2 - 3 |

MED 750 | History and Philosophy of Mathematics Education | 3 |

### Research Proposal/Dissertation — 16 hours

MATH 797 | Doctoral Proposal Research | 1 - 4 |

MATH 799 | Doctoral Dissertation | 1 - 12 |

### Additional Electives — 6 hours

Electives in this category can include any approved 600 or 700 level courses or any two approved additional 500 level courses. Courses taken for the two research tools may be counted for these electives. A student must complete research tool "option A" and may select any one of the remaining four options.

### Research Tools

**A. Applied Statistics and Research Methods**

SRM 502 | Applied Statistics | 4 |

MED 701 | Quantitative Research in Mathematics Education | 3 |

SRM 608 | Experimental Design | 3 |

or | ||

SRM 610 | Statistical Methods III | 3 |

Select One Additional Tool (0-3 hours)

**B. Qualitative Research Methods.**

Student's doctoral committee will approve a combination of coursework (including at least SRM 680 and MED 702) and experience (evaluated by the committee) to appropriately support the student’s proposed dissertation research.

**C. Collateral Field**

Contact the graduate coordinator for a detailed list of approved courses in cognition, instruction, measurement and evaluation, psychology and human development and curricula.

**D. Computer Science**

Student’s doctoral committee will approve and evaluate a combination of advanced computer experience, proficiency and/or coursework only if relevant to the proposed dissertation research.

**E. Foreign Language**

Student’s doctoral committee will approve and evaluate a combination of foreign language experience, proficiency and/or coursework only if relevant to the proposed dissertation research.

**NOTES: **Electives must have the approval of the student's advisor and doctoral committee.

MED 710 is normally taken in the first year of the program.

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.

# Educational Mathematics Ph.D.

**College of Natural and Health Sciences **

**Degree Requirements — 71 Credits **

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 their M.A. in Mathematics with either a Liberal Arts Emphasis or Teaching Emphasis 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. Students must be conferred with the M.A. degree prior to admission to doctoral candidacy.

## Degree Requirements

### Ph.D. Requirements

Mathematics Content Core — 27 semester hours

### A. Required Courses - 12 hours

MATH 709 | Abstract Algebra I | 3 |

MATH 723 | Abstract Algebra II | 3 |

MATH 732 | Complex Variables | 3 |

MATH 735 | Real Analysis | 3 |

### B. Minimum of 15 hours chosen from the following courses:

MATH 622 | Directed Studies | 1 - 4 |

MATH 700 | Advanced Seminar | 2 |

MATH 727 | Representation Theory | 3 |

MATH 728 | Topics in Discrete Mathematics | 3 |

MATH 733 | Geometric Analysis | 3 |

MATH 736 | Real Analysis II | 3 |

MATH 744 | Differential Geometry | 3 |

MATH 764 | Difference Equations and Chaos | 3 |

MATH 778 | Mathematical Logic | 3 |

MATH 791 | Number Theory | 3 |

MATH 795 | Special 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 525 | Linear Algebra I | 3 |

MATH 532 | Basic Analysis II | 3 |

MATH 540 | Introduction to Topology | 3 |

### Category II

MATH 528 | Discrete Mathematics | 3 |

MATH 529 | Mathematical Problem Solving | 3 |

MATH 531 | Basic Analysis I | 3 |

MATH 543 | Modern Geometry | 3 |

MATH 560 | Introductory Complex Variables | 3 |

### Research Core — 12 hours

MED 610 | Survey of Research in Mathematics Education | 3 |

MED 700 | Cognitive Processes in Mathematics | 3 |

MED 701 | Quantitative Research in Mathematics Education | 3 |

MED 702 | Qualitative Research in Mathematics Education | 3 |

### Educational Core — 10 hours (minimum)

### A. Required Courses (4 hours)

MED 703 | Teaching and Learning K-12 Mathematics | 3 |

MED 710 | Seminar in Post-Secondary Mathematics Teaching | 1 |

### B. Elective Courses (6 hours)

(Advisor must approve courses)

MED 622 | Directed Studies | 1 - 3 |

MED 630 | Technology in Mathematics Education | 2 |

MED 673 | Teaching and Learning Mathematics on the Elementary Level | 3 |

MED 674 | Teaching and Learning Mathematics on the Secondary Level | 3 |

MED 675 | Teaching and Learning Mathematics on the Post-Secondary Level | 3 |

MED 678 | Special Topics | 2 - 3 |

MED 750 | History and Philosophy of Mathematics Education | 3 |

### Research Proposal/Dissertation — 16 hours

MATH 797 | Doctoral Proposal Research | 1 - 4 |

MATH 799 | Doctoral Dissertation | 1 - 12 |

### Additional Electives — 6 hours

Electives in this category can include any approved 600 or 700 level courses or any two approved additional 500 level courses. Courses taken for the two research tools may be counted for these electives. A student must complete research tool "option A" and may select any one of the remaining four options.

### Research Tools

**A. Applied Statistics and Research Methods**

SRM 502 | Applied Statistics | 4 |

MED 701 | Quantitative Research in Mathematics Education | 3 |

SRM 608 | Experimental Design | 3 |

or | ||

SRM 610 | Statistical Methods III | 3 |

Select One Additional Tool (0-3 hours)

**B. Qualitative Research Methods.**

Student's doctoral committee will approve a combination of coursework (including at least SRM 680 and MED 702) and experience (evaluated by the committee) to appropriately support the student’s proposed dissertation research.

**C. Collateral Field**

Contact the graduate coordinator for a detailed list of approved courses in cognition, instruction, measurement and evaluation, psychology and human development and curricula.

**D. Computer Science**

Student’s doctoral committee will approve and evaluate a combination of advanced computer experience, proficiency and/or coursework only if relevant to the proposed dissertation research.

**E. Foreign Language**

Student’s doctoral committee will approve and evaluate a combination of foreign language experience, proficiency and/or coursework only if relevant to the proposed dissertation research.

**NOTES: **Electives must have the approval of the student's advisor and doctoral committee.

MED 710 is normally taken in the first year of the program.

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.