STATE UNIVERSITY COLLEGE AT BUFFALO

Department of mathematics

Request For A Course

I. Number and Title of Course

Mathematics Education 602 . Mathematics For the Secondary

School Teacher: Selected Topics

II. Reasons to Addition to present Curricula
A. In addition to the standard graduate courses in mathematics there are topics in mathematics of particular interest to secondary teachers by teachers by virtue of the close relationship these topics have to the secondary mathematics curriculum. This course would be devoted to one or more of these topics.

B. This course would Provide for the study of topics in mathematics relevant to the secondary curriculum for in service teachers and post- baccalaureate students who wish to complete certification requirement.

III. Major Objective of the course

Provide post - baccalaureate students with the opportunity to study topics in mathematics which are directly related to and important background material for current secondary mathematics curricula.

IV. Topical Outline
The topical outline could include one or more of the following topics as major headings. The following list in not Intended to be comprehensive.

A. Game Theory

B. Probability Theory

C. Combinatorial Analysis

C. Finite Mathematics Structures

D. Computational Mathematics

E. Numerical Approximations Algorithms

F. Convex Figure

G. Mathematics Application

H. Linear and Nonlinear Program

I. Foundation of Mathematics

K. Euclidean Constructions

L. Dissection Theory

V. Examples of Major Bibliography, Texts, Reading.
The bibliography depends upon the topic or topics chosen for the course. It may be that extensive use would be made of texts or monographs as well as journal articles from one or more of the following: The Mathematics Teacher, Mathematics Teaching, School Science and Mathematics, Mathematics Magazine, The Mathematical tical Gazette.

If for instance the topic were convex figures, the following texts and monographs would be chosen.

Busemann, Herbert. Convex Surfaces. New York: Inter science Publishers, Inc., 1958.

Convexity (Proceedings of Symposia in pure Mathematics vol. VII). American Mathematical Society, 1963

Coxeter, H-S. M., Regular Polytopes 2nd ed New York Macmillan, 1963.

Eggleston, H. G. Convexity (Cambridge) Tracts in Mathematics and Mathematical Physics, No. 47). Cambridge University 1958

Hilbert,. D., and. Cohn,. Vossen , S., Geometry, and the Imagination. Chelsea, 1956

Lyusternik; L. A,. Shortest .Path Variationa] Problem. New York: London . Pergamon press; 1954.

Rademacher, H., and Toeplitz, .O The Enjoyment of mathematics Princeton University Press, 1957. .

Yaglom , I, M. and Boltyanski, V. G. New York Holt Rinehart and Winston, 1961.

VI. Psentation and Evaluation
Presentation and evaluation will include Lectures, discussions, student presentations in class, assigned reading
VII. Prerequisites
Permission of Instructor.
VIII . Credit
3 semester hours
IX. Statement of Approval
This course proposal was examined in accord with procedures established by the faculty and approved by the graduate faculty mathematics on 1/29/75
XI. Catalog Description:
MED 602 Mathematics For the Secondary School Teacher: Selected Topics.

This course will be the study of one or more topics in mathematics relevant to the secondary mathematics curriculum. Topics will be announced in advance. One to three semester hours of credit.

XII. Statement of qualification of faculty who will teach the course
A master's degree in mathematics is a minimum formal education. The instructor must have a special interest in the topics included in the course and have considered carefully the relationship between those topics and the secondary school mathematics curriculum.

All members of this department meet the minimum requirements in formal education. The fulfillment of the other requirements would best be Judged by the Department Chairman.