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GRADUATE PROGRAM
SCIENCE 1,
114A
(661) 654-3151
(661) 654-2039 (fax)
email:
rsallee@csub.edu
Faculty: S. Behseta, J. Dirkse, M. El-Ansary, J. Fiedler, D. Gove, K. Haddad, Y. Ko, C. Lam, R. Larson, M. Lutz, D. Murphy, R. Peck, S. Raczkowski, M. Rush, L. Taylor, M. Thomas, J. Trigos
Masters of Arts in Teaching Mathematics
General Description
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:
1. A baccalaureate degree with a relevant major (as
determined by the Mathematics
Graduate Program Committee) from an
accredited college or university
2. 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
3. Good academic standing at the last college or university
attended
4. Submission of a letter of application to the Department of
Mathematics.
5. Application to the mathematics department and
simultaneously to the university for
post-baccalaureate status.
Admissions Standings
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 520. Discrete Mathematical Models
2. MATH 521. Statistics and Data Analysis
3. MATH 522. Numerical Approach to Calculus and Differential Equations
4. MATH 523. Geometric Linear Algebra
5. MATH 524. Number Theory and Codes
6. MATH 525. Dynamical Geometry
7. MATH 526. History of Mathematics
8. MATH 540. Introduction to Mathematics Education Research
9. MATH 591. Culminating Project
Graduate Courses
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 Mathematics (5)
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 Upper Division Writing Competency Requirement.
[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. An introduction to differential equations as approximations to
discrete systems. Prerequisite: 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)
Use of numerical and algebraic techniques to study change. The use of
forward, back, and symmetric differences in data analysis. Divided
differences as average rates of change and as approximations to
instantaneous rate of change. 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 526. Introduction to the History of Mathematics (5) Development of
mathematics from its empirical origins to its present form. Euclid’s elements.
Emphasis may vary with the instructor. Evaluation will include at least one
substantial student paper. Prerequisites: (1) MATH 300; and (2) At least
two mathematics courses numbered above 300; and (3) Graduate standing. [W]
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. Prerequisite: 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.
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