Degree Plan
This is a Planned Schedule for Master of Arts in Teaching Mathematics Program for In-Service Teachers beginning Fall 2010.
MATH 5370a
Stat 3330
MATH 5370c*
STAT 5370b
MATH 5370d
(Math 3300/MTED 5326
*Can be counted for the Master Mathematics (MMT) TeacherCertification Program.
Note:
With the exception of two education courses, all the MMT certification courses will be counted towards a degree in MAT-Mathematics.Course Descriptions
- MTED 5326 - Cultural History, Epistemology, and Pedagogy of Mathematics
- The course explores critical issues of the evolution and development of fundamental mathematical ideas from a cultural-historical perspective as well as implications for the teaching and learning of mathematics based on this perspective. The courses will also examine current topics in multicultural mathematics education and ethnomathematics.
- STAT 3330 - Probability
- Theory and applications of probability models. Sample space, combinatorics, conditional probability, random variables, discrete and continuous probability distributions, expectation, moment generating functions, law of large numbers, and central limit theorem. Prerequisite: MATH 2313.
- MATH 5311 - Applied Mathematics
- Mathematics 5311 is designed to introduce the student to those areas of mathematics which are useful in engineering and science. Topics are chosen from Differential Equations, Fourier Series, Calculus of Variations, and Theory of Algorithms. Prerequisite: Instructor approval.
- MATH 5360 - Introduction to Research in Mathematics Education
- An introduction to how to navigate, evaluate, and synthesize the research literature in mathematics education (or statistics education), formulate a compelling and feasible research question, and conduct a thorough literature review that can serve as the basis for a future educational research study.
- Math 5361 - Research Methods in Mathematics Education
[formerly 5360b, this course number and its description was added during fall 2011, and Math 5360 is no longer repeatable]- Continued critical engagement with the research literature in mathematics/statistics education with a focus on research methodology (especially techniques appropriate for classroom research) that is aligned with the research question. Course includes design issues, finding or developing instruments, reliability, validity, triangulation, navigating the Institutional Review Board process, and collecting data from sources such as interviews, observations, surveys, tests, and artifacts. Prerequisite: grade of C or better in Math 5360.
- Math 5365 - Technology in the Mathematics Classroom
- An introduction to technology used in mathematics education such as graphing calculators, computer algebra systems, course specific software and the use of the internet, and exploration of its appropriate and effective use in the mathematics classroom. Prerequisite: Department approval.
- MATH 5370a - Special Topics (Logic and Proof)
- An introduction to proof in mathematics. Includes the basics of logic, techniques of proof, mathematical induction, set theory, relations, functions, and cardinality. Prerequisite: Instructor approval.
- MATH 5370b - Special Topics (Calculus and Analysis)
- A review of the concepts of single-variable integral and differential calculus, followed by a more careful study of the foundations of single-variable calculus. Includes the real number system, convergence, continuity, differentiability, and elementary integration theory. Prerequisite: Instructor approval.
- MATH 5370c - Special Topics (Number Theory and Algebra)
- Sequences and series. Induction. Functions and relations, including attributes (domain, range, one-to-one, onto, etc.) and multiple representations. Algebraic structures, including the real and complex numbers as algebraic fields, and the algebra of vectors and matrices. Number theory, including Euclidean algorithm and modular arithmetic (Geometry and Calculus). Prerequisite: Instructor approval.
- MATH 5370d - Special Topics (Geometry and Calculus)
- Euclidean and non-Euclidean geometry. Concepts of single-variable calculus. The interconnection between (Euclidean) geometry and calculus: how to use calculus to answer geometry questions and vice versa. Conic sections. Prerequisite: Instructor approval.
- MATH 5385 - Quantitative Research in Mathematics Education
[formerly Stat 5385; the course prefix and description were updated during fall 2011]- An introduction to the fundamentals of descriptive and inferential statistics including: sampling, regression, multiple regression, chi-square, analysis of variance, psychometrics, and the appropriate use of technology. Additional topics are selected from: analysis of covariance, logistic regression, factor analysis, and nonparametric statistics. Emphasis is on practical usage and the conceptual understanding of data analysis and experimental designs that are commonly used in the research literature for the specific context of mathematics education or statistics education. Prerequisite: Math 5360 or instructor approval .
- MATH 5396 - Graduate Research
- A written report on an appropriate subject in mathematics or statistics is required. May not be counted toward the 24 hours of course work in the thesis option, but may be substituted for three hours of thesis credit. May not be repeated for credit. Prerequisite: Instructor approval.