C A L I F O R N I A S T A T E U N I V E R S I T Y B A K E R S F I E L D
(661) 664-2039 (fax)
Faculty: J. Dirkse, M. El-Ansary, J. Fiedler,
D. Gove, K. Haddad, R. Larson,
M. Lutz, D. Murphy, R. Peck,
S. Raczkowski, M. Rush, L. Taylor,
M. Thomas, J. Trigos, L. Webb
Masters of Arts in Teaching Mathematics
This degree is designed for working mathematics teachers with a Single Subject Credential in Mathematics (from California or other state or nation), or mathematics teachers holding a Supplementary Authorization in Elementary Mathematics to a Single or Multiple Subject Credential. The purpose of the Master of Arts in Teaching Mathematics is to enable secondary and middle school mathematics teachers to increase their understanding of secondary school mathematics, its pedagogy, and related topics. The course of study is designed to deepen the participant’s mathematical knowledge and integrate it with his/her prior experiences and training.
Requirements for Admission
Admission to the graduate program leading to the Master of Arts in Teaching Mathematics requires the following:
· a baccalaureate degree with a relevant major (as determined by the Mathematics Graduate Program Committee) from an accredited college or university
· a 2.50 GPA (A=4.0) for the last (baccalaureate or post-baccalaureate) 90 quarter units (60 semester units) of college or university coursework attempted
· good academic standing at the last college or university attended
· submission of a letter of application to the Department of Mathematics
· application to the mathematics department and simultaneously to the university for post-baccalaureate status.
1. Graduate Standing: Conditionally Classified Status
A student may be conditionally admitted to the Master of Arts in Teaching Mathematics if, in the judgment of the Mathematics Graduate Program Committee, the student has deficiencies in prerequisite preparation and can remedy those deficiencies by completing course work and/or examinations at a satisfactory level.
2. Graduate Standing: Classified Status
A student may be formally admitted to the Master of Arts in Teaching Mathematics in this category (or advanced to this category from “Graduate Conditionally Classified”) if the student fulfills all of the personal, professional, and scholastic standards prescribed above.
3. Advancement to Graduate Candidacy Status
A Classified graduate student may be advanced to candidacy upon completion of 30 (of 45) quarter units in his/her approved graduate program. Advancement to candidacy is based on a formal review and recommendation by the Mathematics Graduate Program Committee and approval by the Dean for Graduate Studies and Research.
Requirements for the Master of Arts in Teaching Mathematics
A minimum of 45 units is required for the MA in Teaching Mathematics; the following courses are required of all students:
1. MATH 450 Introduction to the History of Mathematics
2. MATH 520 Discrete Mathematical Models
3. MATH 521 Statistics and Data Analysis
4. MATH 522 Numerical Approach to Calculus and Differential Equations
5. MATH 523 Geometric Linear Algebra
6. MATH 524 Number Theory and Codes
7. MATH 525 Dynamical Geometry
8. MATH 540 Introduction to Mathematics Education Research
9. MATH 591 Culminating Project
NOTE: Students who have not attained graduate standing and who are interested in enrolling in a graduate class are encouraged to consult with the instructor and/or members of the Mathematics Graduate Program Committee.
MATH 450 Introduction to the History of
Development of mathematics from its empirical origins to its present form. Emphasis may vary with the instructor. Evaluation will include at least one substantial student paper. Students taking this course for graduate credit are required to submit a more substantial paper. Prerequisites: (1) MATH 300; AND (2) At least two mathematics courses numbered above 300; AND (3) Completion of CSUB’s Graduation Writing Assessment Requirement Exam (GWAR). [W]
MATH 520 Discrete Mathematical Models (5)
Construction and analysis of difference models from physical, biological, social, and financial sciences. Cobweb analysis, convergence, stability and chaos in discrete dynamical systems. Phase plane analysis of systems of difference equations. Introduction to differential equations as approximations to discrete systems. Prerequisites: Graduate standing. [F]
MATH 521 Statistics and Data Analysis (5)
Basics of significance testing, basic exploratory data analysis, data summaries, multivariate data, time series, and multiway tables. Techniques may include graphical displays, transformations, outlier identification, smoothing, regression and robustness. Prerequisites: Graduate standing and prior experience with statistical analysis at the level of Math 140. [W]
MATH 522 Numerical Approach to Calculus and Differential Equations (5)
of numerical and algebraic techniques to study change. The use of forward, back, and symmetric differences in data
as average rates of change and as approximations to instantaneous rate of
Difference equations and Euler’s method as numerical
approximations to differential equations. Reimann sums,
midpoint, trapezoid and Simpson’s method to approximate accumulated
change. Error analysis
for numerical approximations.
Prerequisites: (1) Graduate standing and MATH 520 OR (2) Graduate standing and MATH 300. [F]
MATH 523 Geometric Linear Algebra (5)
The algebra and geometry of vectors in two and three dimensions. Matrices as linear transformations of R2 and R3. Rigid motions in three dimensions, rotations, reflections, translations, and glide reflections Classification of Frieze and space groups. Markov chains and limiting processes. Prerequisites: (1) Graduate standing and Math 520 OR (2) Graduate standing and MATH 300. [S]
MATH 524 Number Theory and Codes (5)
Divisibility theory, polynomial rings and vector spaces over finite fields. Examination of commonly used postal, bar, CD, DVD, and ISBN codes. Error detecting and error correcting codes. Hamming metric and Hamming bounds, linear codes over GF(2). Prerequisites: (1) Graduate standing and MATH 520 and MATH 523 OR (2) Graduate standing and MATH 300. [S]
MATH 525 Dynamical Geometry (5)
Investigations in the Euclidean geometry of two dimensions using modern dynamical software. Emphasis on exploration, conjecture and verification. Prerequisites: Graduate standing and MATH 300 or equivalent experience with the role of proof in Mathematics. [SS]
MATH 540 Introduction to Mathematics Education Research (5)
Brief introduction to basic philosophies, key terms, and generally accepted strategies of both quantitative and qualitative research, such as the criteria and procedures appropriate for establishing validity reliability, credibility, and trustworthiness. Understanding ethics, confidentiality, protection of human subjects, variables, sampling, and data collection. Major emphasis on being able to find, evaluate, and use research in math education. Prerequisites: Graduate standing. [SS]
MATH 577 Advanced Topics in Mathematics (1‑5)
Topics and prerequisites to be announced. May be repeated for different topics. General prerequisite: Major or minor in Mathematics.
MATH 580 Advanced Research Participation (1‑5)
Individual mathematical investigation, under supervision. (Experience as a research assistant does not count for credit.) Offered on a credit, no credit basis only. Prerequisite: Permission of instructor.
MATH 591 Culminating Project (5)
Design and implementation of a written report of mathematical or field research or similar activity. Prerequisites: Successful completion of 30 approved credits towards the Master of Arts in Teaching Mathematics. Approved petition for advancement to candidacy, and appointment of a Culminating Activity Committee*.
* Such committees consist of three faculty members and must be approved by the Mathematics Graduate Program Committee.