ERIC Number: ED028926
Record Type: RIE
Publication Date: 1968
Reference Count: N/A
An Axiom System for High School Geometry Based on Isometrics.
Beard, Earl M. L.
Presented in this report is an approach to Euclidean geometry that makes use of distance preserving transformations as the primary approach in the development of the proposed course. The foundation of the course consists of an axiom set that is a combination of Binkhoff's, Hilbert's, and Klein's. Transformations and distance preserving transformations are introduced early in the course. A suggested sequence of theorems for the standard topics of high school geometry is given with some proofs involving transformations. Included in this sequence is the geometry of triangles, similar figures, circles, and parallels. Additional topics involving transformations are included. A comparison is made of the proposed and existing geometry courses with respect to (1) the degree of vigor and intuition possible, (2) the required analytic procedures, (3) the types of proof available, and (4) the concept of congruence. (RP)
Descriptors: Comparative Analysis, Course Content, Course Organization, Curriculum Development, Doctoral Dissertations, Geometric Concepts, Geometry, Mathematics, Secondary School Mathematics
University Microfilms, 300 North Zeeb Road, Ann Arbor, Michigan 48106 (Order No. 68-13618, Microfilm $3.00, Xerography $4.80)
Publication Type: N/A
Education Level: N/A
Authoring Institution: Wisconsin Univ., Madison.