Department of Mathematical Sciences

309 SCEN

University of Arkansas

Fayetteville, AR 72701

P 479-575-3351

F 479-575-8630

E-mail: math@uark.edu

# Master of Arts in Secondary Mathematics

This program is designed for secondary school teachers of mathematics, who have earned an undergraduate degree in a mathematical science (mathematics, statistics, operations research, computer science), engineering, or a physical science, and have credit in courses equivalent to MATH 2564, MATH 3083, MATH 3113, and MATH 3773. It requires 30 semester hours of graduate work.

Prospective candidates for the Master of Arts degree in secondary mathematics are expected to have earned a Baccalaureate degree or equivalent with a major in a mathematical science (mathematics, statistics, operations research, or computer science), engineering, or a physical science and credit in courses equivalent to MATH 2564, MATH 3083, MATH 3113, and MATH 3773.

The program has four components in which to earn a minimum of 30 semester hours of credit:

- Graduate course work in mathematics content and content-based pedagogy. At least 12 hours of credit in graduate course work specifically designed for preparation for teaching secondary mathematics. The content will include probability, statistics, algebra, geometry, applied mathematics and advanced calculus with connections to secondary school mathematics. At least one of the courses must be in probability and statistics; one in algebra; and one in advanced calculus. Candidates will sit for examinations in three of probability and statistics, algebra, geometry, advanced calculus, and mathematics education. Candidates will also present a portfolio describing the body of work with samples of student work and explanations of connections to secondary school mathematics. These courses are to be selected from MATH 4103, MATH 4113, MATH 4353, MATH 4363, MATH 4513, STAT 4003 (with co requisite STAT 4001L), STAT 5103, MATH 5001, MATH 504V, MATH 5013, and MATH 5033. Other graduate mathematics or statistics courses may be used in place of these courses with the approval of the student
- Independent study and research in mathematics or mathematics education. From 3 to 6 hours of credit in independent study and research under the direction of mathematical sciences faculty. The results will be evidenced by a report roughly equivalent to a master
- Advanced work in professional teacher preparation. Up to 6 hours of credit in MATH 507V is available for advanced work in preparation for teaching AP calculus, AP statistics, International Baccalaureate (IB) Mathematics, or for achieving National Board Certification in (Adolescence and Young Adulthood) Mathematics. Other professional development activities with quality control features similar to those of the AP, IB, and National Board programs may be presented for consideration for credit. All such work must be sanctioned by the sponsoring organizations.
- Graduate courses in education. Up to 6 hours of credit in graduate courses in education. The student.

Each person receiving the Master of Arts degree in secondary mathematics must pass a written examination in three of probability and statistics, algebra, geometry, advanced calculus, and mathematics education. No student will be allowed to take the examination more than three times. Candidates will also present a portfolio describing the body of work with samples of their work as students and explanations of connections to secondary school mathematics.

### New Courses

MATH 5001 Connections to School Mathematics. This course is a supplement to any graduate course in statistics, algebra, analysis, or geometry. The purpose is to connect the content of the graduate course to school mathematics. May be repeated.

MATH 5053 Abstract Algebra with Connections to School Mathematics Teaching. Basic structures of abstract algebra (rings, fields, groups, modules and vector spaces) with emphasis on rings and fields as generalizations of the ring of integers and field of rational numbers. Credit in MATH 5053 is subsumed by credit in MATH 4113 or MATH 5123 plus MATH 5001 .

MATH 5063 Advanced Calculus with Connections to School Mathematics Teaching. Rigorous development of the real numbers, continuity, differentiation, and integration. Credit in MATH 5063 is subsumed by credit in MATH 4513 or MATH 5513 plus MATH 5001.

MATH 507V Professional Development for Secondary Mathematics Teaching. (1-3). Credit is awarded for validated participation in professional development mathematics workshops or institutes sanctioned by national or international educational organizations such as the College Board, International Baccalaureate Program, and the National Board for Professional Teaching Standards. Participation is validated by: (1) At least 12 hours of participation for each semester hour of credit; (2) An essay of at least 1500 words detailing how the participation will improve teaching and learning in the classroom; and (3) Validation of the value of the participation by successful teaching of the targeted high school mathematics course. Pre-requisite: Graduate standing. May be repeated.

### Existing Courses Mentioned Above

Math

2564 Calculus II

3083 Linear algebra

3113 Abstract algebra

3773 Geometry

4103 FD vector spaces

4513 Advanced calculus

4353 Numerical analysis I

4363 Numerical analysis II

5013 Topics in algebra for teachers

5053 Topics in analysis for teachers

STAT

4003 Statistical methods

4001L Statistical packages

5103 Theory of statistics

CIED

5483 Teaching mathematics

6013 Curriculum development

6023 Instructional theory

6033 Content specific pedagogy

6043 Analysis of teacher education

6053 Advanced assessment