Skip to navigation menu

Skip to main content

Mathematics Education
Teachers College, Columbia University
teachers college logo columbia univertsity logo

Mathematics Education

Course Listing > Mathematics Ed Home

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.