# Course Listing

## Program Courses:

Please check the Class Schedule or contact the program for specific course availability for each semester:

**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.

Instructor(s): Alexander Karp, Stuart Weinberg

**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.

Instructor(s): Joseph Garrity, Nicholas Wasserman

**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.

Instructor(s): Alexander Karp

**MSTM 4023 Mathematics for exceptional students**

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

Instructor(s): Alexander Karp

**MSTM 4025 Teaching computer mathematics**

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.

Instructor(s): Erica Walker

**MSTM 4032 Mathematical models in the behavioral sciences**

Design and development of mathematical models of human behavior, including social, political, management, and defense models.

**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.

Instructor(s): Alexander Karp

**MSTM 4038 Finite mathematics**

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

Instructor(s): Alexander Karp, Nicholas Wasserman

**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.

Instructor(s): Stuart Weinberg

**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.

Instructor(s): Joseph Garrity, Erica Walker

**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.

Instructor(s): Stuart Weinberg

**MSTM 5012 Mathematics in two- and four-year colleges**

Problems, issues, and methods in the college teaching of mathematics.

Instructor(s): J. Smith

**MSTM 5020 Mathematics and multicultural education**

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

Instructor(s): Erica Walker

**MSTM 5022 Mathematics curriculum development**

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

Instructor(s): Bruce Vogeli

**MSTM 5023 Problem solving**

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

Instructor(s): J. Smith

**MSTM 5027 Numerical methods and computability**

Number representation. Uncertainty and error. Numerical solution of algebraic equations and systems. Numerical calculus. Numerical solution of differential equations.

**MSTM 5030 Topics in probability theory**

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

Instructor(s): Henry Landau, Nicholas Wasserman

**MSTM 5031 Topics in the foundations of mathematics**

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

Instructor(s): J. Smith

**MSTM 5032 Topics in geometry/ topology**

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

Instructor(s): Alexander Karp, Joseph Malkevitch, J. Smith, Nicholas Wasserman

**MSTM 5033 Topics in algebra**

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

Instructor(s): J. Smith, Nicholas Wasserman

**MSTM 5034 Topics in analysis**

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

Instructor(s): Henry Landau, Henry Pollak

**MSTM 5035 Mathematical models in the natural sciences**

Simulation, information theory and coding, stochastic models, probabilistic systems, simple harmonic motion.

Instructor(s): Stuart Weinberg

**MSTM 5036 Topics in discrete mathematics**

Discrete mathematics, combinatorics, graph theory.

Instructor(s): Henry Pollak, Nicholas Wasserman

**MSTM 5037 History of mathematics**

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

Instructor(s): Alexander Karp

**MSTM 5038 Topics in mathematical logic**

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

Instructor(s): J. Smith

**MSTM 5039 Comparative mathematics education**

A review and comparison of mathematics education in other nations.

Instructor(s): Bruce Vogeli

**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

Instructor(s): Erica Walker

**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.

Instructor(s): J. Smith

**MSTM 5800 Mathematics colloquium**

Lecture series featuring presentations by distinguished guest speakers.

Instructor(s): Henry Pollak

**MSTM 5801 Mathematics colloquium**

Lecture series featuring presentations by distinguished guest speakers.

Instructor(s): Henry Pollak

**MSTM 6030 Advanced topics in probability theory**

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

Instructor(s): Henry Landau, Nicholas Wasserman

**MSTM 6032 Advanced topics in geometry/topology**

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

Instructor(s): Alexander Karp, Joseph Malkevitch, J. Smith, Nicholas Wasserman

**MSTM 6033 Advanced topics in algebra**

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

Instructor(s): J. Smith, Nicholas Wasserman

**MSTM 6034 Advanced topics in analysis**

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

Instructor(s): Henry Landau, Henry Pollak

**MSTM 6036 Advanced topics in discrete mathematics**

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

Instructor(s): Henry Pollak, Nicholas Wasserman

**MSTM 6039 Advanced comparative mathematics education**

A review and comparison of mathematics education in other nations.

Instructor(s): Bruce Vogeli

**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.

Instructor(s): Alexander Karp, Erica Walker, Nicholas Wasserman

**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.

Instructor(s): Alexander Karp, Erica Walker

**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.

**MSTM 9900 Research and independent study in mathematics education**

Permission required. Open to post-doctoral students accepted for study at Teachers College.