## Courses

### MSTM 4005 Teaching mathematics in diverse cultures

Principles, techniques, and issues in the teaching of mathematics in other cultural and national settings. Study tour of schools and institutions in various nations.

### MSTM 4019 Mathematics teaching and learning I

Cognitive development and learning strategies for teaching and the use of instructional materials. Current research in mathematics education. Required for pre-service students.

### MSTM 4020 Mathematics teaching and learning II

Historical/comparative study of mathematical education programs in the United States and abroad. Current research in mathematics education.

### MSTM 4023 Mathematics for exceptional students

Content, methods, and instructional models for teaching exceptional students, including LED, LD, and MT students.

### MSTM 4025 Teaching mathematics using technology

A review of teaching methods and curricular innovations in computing and computer mathematics.

### MSTM 4026 Teaching Applied Mathematics

The role of applications in mathematics curriculum. Mathematical models, use of calculators and computers. Applications in the natural and social sciences.

### MSTM 4031 Number theory

Primes, composites, divisibility and factorization, congruence, historical topics.

### MSTM 4034 Exploring Secondary School Mathematics

For students who are preparing to teach in secondary school. The mathematical content of advanced secondary school mathematics and the development and application of fundamental ideas in mathematics.

### MSTM 4038 Finite mathematics

Statements, propositions, and sets; vectors and matrices; probability. Applications: finite Markov chains, game theory.

### MSTM 4760 Student teaching in mathematics

Permission required. Prerequisite: MSTM 5011. Open only to students enrolled in the pre-service program. Students do supervised teaching in metropolitan area schools.

### MSTM 4901 Guided study in mathematics education

Permission required from the instructor with whom the student wishes to work. Independent study in selected areas.

### MSTM 5010 Mathematics in the Elementary School

Problems, issues, and methods in the teaching and supervision of elementary school mathematics.

### MSTM 5011 Mathematics in the secondary school

Problems, issues, and methods in the teaching and supervision of secondary school mathematics. Includes field experiences. Required for preservice students.

### MSTM 5017 Mathematical game theory

Taxonomy of games, two-person zero-sum games, transferable and non-transferable utility, equilibrium concepts, two-sided markets, elections and voting, bankruptcy, apportionment, combinatorial games. Game theory and the K-12 curriculum.

### MSTM 5019 Mathematics in popular culture and media

Survey of mathematical topics, methods, and issues related to teaching and learning as represented in popular culture and media, including literature, film, art, advertising, and the press.

### MSTM 5020 Mathematics and multicultural education

Survey of mathematical topics and methods appropriate for multicultural and bilingual programs.

### MSTM 5022 Mathematics curriculum development

Principles, strategies, and techniques for curriculum development and textbook preparation in mathematics.

### MSTM 5023 Problem solving

Theories and methods of mathematical problem solving with applications to classroom instruction.

### MSTM 5030 Topics in probability theory

Simple, compound, and conditional probabilities and applications. Doctoral students should register for MSTM 6030.

### MSTM 5031 Topics in the foundations of mathematics

Propositional and predicate calculi, set theory, axiomatics, order types, the linear continuum, and Goedel's theorem.

### MSTM 5032 Topics in geometry / topology

Foundation of geometry/topology. Emphasis upon the relationship between topology and geometry and other mathematical areas.

### MSTM 5033 Topics in algebra

Groups, rings, fields. Doctoral students should register for MSTM 6033.

### MSTM 5034 Topics in analysis

Real or complex functions and their properties. Doctoral students should register for MSTM 6034.

### MSTM 5035 Mathematical Modeling

Simulation, information theory and coding, stochastic models, probabilistic systems, simple harmonic motion. Topics vary between natural sciences and behavioral sciences.

### MSTM 5036 Topics in discrete mathematics

Discrete mathematics, combinatorics, graph theory.

### MSTM 5037 History of mathematics

Historical development of major ideas in mathematics. Contributions of noteworthy mathematicians. Analysis of mathematical classics.

### MSTM 5038 Topics in mathematical logic

Prepositional calculus, Church-Turing thesis, Goedel's incompleteness theorem.

### MSTM 5039 Comparative mathematics education

A review and comparison of mathematics education in other nations.

### MSTM 5051 Nature of Proofs

Learn how to create mathematics by turning your observations, beliefs and conjectures into formal statements backed by rigorous arguments.

### MSTM 5061 Research, evaluation, and policy in mathematics education

Theory and methods of evaluating pupils and programs in the cognitive and affective domains. The roles of research and policy in evaluation of mathematics outcomes.

### MSTM 5126 Mathematical foundations of statistics

Prerequisite: MSTM 5030 or MSTM 6030. Estimation, hypothesis testing, and tests based on the chi-square distribution. The normal distribution and its applications. Analysis of variance and regression. Doctoral students should register for MSTM 6126.

### MSTM 5264 Guided supervision of student teaching in mathematics

Permission required. Open only to doctoral students. Guided field experience in supervising student teachers.

### MSTM 5520 Seminar in the college teaching of mathematics

Current issues in undergraduate mathematics. Examination of relations between elementary and advanced mathematics.

### MSTM 5800 Mathematics colloquium

Lecture series featuring presentations by distinguished guest speakers.

### MSTM 5801

Lecture series featuring presentations by distinguished guest speakers.

### MSTM 6017 Advanced topics in mathematical game theory

Open only to doctoral students. Advanced study of game theory.

### MSTM 6030 Advanced topics in probability theory

Open only to doctoral students. Emphasis on proof and advanced applications.

### MSTM 6031 Advanced topics in the foundations of mathematics

Open only to doctoral students. Advanced study of axiom systems and 19th – 20th century developments in the logical foundations of mathematics.

### MSTM 6032 Advanced topics in geometry/topology

Foundation of geometry/topology. Emphasis upon the relationship between topology and geometry and other mathematical areas.

### MSTM 6033 Advanced topics in algebra

Open only to doctoral students. Advanced study of groups, rings, and fields.

### MSTM 6034 Advanced topics in analysis

Open only to doctoral students. Advanced study of real or complex functions.

### MSTM 6035 Adv Mathematical Modeling

Open only to doctoral students. Advanced study of mathematical modeling.

### MSTM 6036 Advanced topics in discrete mathematics

Open only to doctoral students. Advanced study of discrete mathematics, combinatorics, and graph theory.

### MSTM 6037 Professional Seminar: Mathematics Education

Topics will vary

### MSTM 6038 Research Methods in Mathematics Education

An introduction to educational research methods relevant to mathematics education.

### MSTM 6039 Advanced comparative mathematics education

A review and comparison of mathematics education in other nations.

### MSTM 6126 Advanced topics in the mathematical foundations of statistics

Open only to doctoral students. Prerequisite: MSTM 5030 or MSTM 6030. Advanced topics including hypothesis testing, distribution theory, and analysis of variance and regression.

### MSTM 6400 Internship in mathematics education

Permission required. Supervised intern service in a variety of field settings including classroom teaching at various levels, supervision, curriculum development, and inservice education.

### MSTM 6500 Research seminar in mathematics education

Permission required. Research oriented seminars dealing with a variety of issues and leading to preparation of preliminary proposals for the doctoral dissertation. Required for doctoral students.

### MSTM 6501 Research seminar in mathematics education

Permission required. Research oriented seminars dealing with a variety of issues and leading to preparation of preliminary proposals for the doctoral dissertation. Required for doctoral students.

### MSTM 6901 Research and independent study in mathematics education

Permission required. Guided independent study leading to the preparation of a major project or paper. May be taken repeatedly by doctoral candidates engaged in research.

### MSTM 7500 Dissertation seminar in mathematics education

Development of final doctoral dissertation proposals and presentation of proposals for departmental review.

### MSTM 8900 Dissertation advisement in mathematics education

Individual advisement on doctoral dissertations. Fee to equal 3 points at current tuition rate for each term. For requirements, see section in catalog on Continuous Registration for Ed.D./Ph.D. degrees.