I. Number and Title of Course

Mathematics Education 595 Research Methods and Techniques in Mathematics Education.

A. To provide an alternative to Education 595 for students who are either

1. Secondary Education - Mathematics graduate students

2. Elementary Education graduate students with a concentration in mathematics.

B. To provide an elective for graduate students in the Master of Arts Mathematics program.

The course is offered as a means of familiarizing the students with current research practices in Mathematics Education. This would include statistical models, designs, and procedures. Thus the course should enable the student to read and evaluate current research reports and and determine the appropriate application of the results to his teaching of mathematics.

A. The Nature of Educational Research

B. Analysis of the Problem

C. Descriptive Statistics

D. Basic Inferential Statistics

1. Analysis of Variance ? one way linear model a. Fixed Effects b. Random Effects

2. Simple Linear Regression

3. Analysis of Variance ? two way linear model

E. Experimental Design

1. Sources of Experimental Error

2. Quasi ? Experimental Designs

3. True Experimental Designs

F. Strategy of Historical Research

G. Strategy of Descriptive Research

1. Survey Studies

2. Correlational Studies

3. Developmental Studies

H. Strategy of Experimental Research

Brown, Kenneth E. and Abell, Theodore L. Analysis of Research in the Teaching of Mathematics. Washington: U.S. Department of Health, Education, and Welfare, 1963.

Brown, Kenneth E., et al. Analysis of Research in the Teaching of Mathematics, 1959-1960. Washington: U.S. Department of Health, Education, and Welfare, 1963.

Brown, Kenneth E. and Kinsella, John J. Analysis of Research in the Teaching of Mathematics 1957-1958. Washington: US Department of Health, Education, and Welfare, 1960.

Gage, N. L., Editor. Handbook of Research on Teaching. Chicago: Rand Mc Nay y and Company, 1963.

Gagne, Robert, Editor. Learning Research and School Sublet s. Eighth Annual Phi Delta Kappa Symposium on Educational Research. Itasca, Ill F. E. Peacock Publishers, 1964.

Glennon, V and Callahan, L.C. Elementary School Mathematics. Washington: Assoclation of Supervision and Curriculum Development, 1968.

Johnson, Donovan. "A Pattern for Research in the Mathematics Classroom." The Mathematics Teacher. LIX (May 1966), 418-425.

National Council of Teachers of Mathematics. Research in Mathematics Education. Joseph Scanura, Editor. Washington: National Council of Teachers of Mathematics, 1967.

Scandura, Joseph M. "Educational Research and the Mathematics Educator." Mathematics Teacher, [VIII (February 1965), 131-138.

School Mathematics Study Group. Soviet Students in the Psychology of Learning and Teaching Mathematics. Vol. 1, 2. Pasadena: A.C. Vroman, Inc., 1959.

Proceedings of National Conference on Needed Research in Mathematics Education. Journal of Research and Development in Education, I (Earl 1967), entire issue.

Research Problems in Mathematics ~ : Report of a Conference on Psychological Problems and Research Methods. Washington: U.S. Department of Health, Education, and Welfare, 1960.

"Natural Sciences and Mathematics," Review of Education Research, XXXIX (October 1969); XXXIV (June 1964); XXXI, (June 1~?); XXVII, (October 1957); XXI, (October 1951); XVIII, (October 1948); XV, (October 1945); XII, (October 1942).

In addition, selected articles would be chosen from the following Journals:

American Educational Research Journal

The Arithmetic Teacher

Educational Studies in Mathematics

Journal of Research in Mathematics Education

Journal of Research in Science Education

The Mathematics Teacher

Lectures, discussions, and written examinations. Individual reports, assigned readings.

Nine semester hours of graduate mathematics beyond the Baccalaureate degree.

IX. Statement of Approval

This course proposal was examined in accord with recommended procedures and was approved by the Graduate Faculty of the Mathematics Department. 2/20/70. ________________________________Department Chairman

Math. Ed. 595 : Research Methods and Techniques in Mathematics Education ; Nature of Educational Research; Problem Analysis; Descriptive and Inferential Statistics; Experimental Design; Strategy of Historical, Descriptive and Experimental Studies.

Classification: Elective for M.S. and M.A. graduate students. An alternative to Edu. 595.

Prerequisites: Nine semesters of graduate mathematics beyond Baccalaureate degree.

Credit: Three semester hours - Three class hours

Bailey, W. H. Candidate for Ed. D. in Mathematics Education

Cherkauer, R. J. Ed. D. - University of Buffalo

Diedrich, R. C. Ph. D. ? Syracuse University

Heintz, R. Candidate for Ed. D. in Mathematics Education

Kaltsounis, B. Ed. D. ? University of Georgia

Wiesen, R. A. Candidate for Ed. D. in Mathematics Education