ERIC Number: ED104681
Record Type: Non-Journal
Publication Date: 1972
Secondary School Advanced Mathematics, Chapter 3, Formal Geometry. Student's Text.
Stanford Univ., CA. School Mathematics Study Group.
This text is the second of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. This volume is devoted to a rigorous development of theorems in plane geometry from 22 postulates and definitions. Topics covered include perpendicularity and parallelism, congruence, relations among angles, triangles, quadrilaterals, and the Pythagorean Theorem. Proofs of theorems are given in paragraph form. Several proofs are left to students; advice on how to begin a proof (e.g., draw several pictures) is frequently offered. Several exercises require students to recognize characteristics of proofs such as the difference between existence and uniqueness proofs. The many exercises included in this text vary considerably in difficulty and purpose; some involve straightforward applications while others require integration and problem solving. (SD)
Descriptors: Curriculum, Deduction, Geometric Concepts, Geometry, Instructional Materials, Mathematics Education, Secondary Education, Secondary School Mathematics, Textbooks
A. C. Vroman, Inc., 2085 East Foothill Blvd., Pasadena, California 91109 ($0.75)
Publication Type: Books
Education Level: N/A
Sponsor: National Science Foundation, Washington, DC.
Authoring Institution: Stanford Univ., CA. School Mathematics Study Group.