2003-2005 Catalog
|
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
2003-2005 Catalog |
mathematics
(661) 664-3151
(661) 664-2039
(fax)
email: klsmith@csub.edu
http://www.csub.edu/math/gprogram.htx
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
Program 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:
· 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
Course Descriptions
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 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)
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 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.