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ERIC Number: ED302394
Record Type: RIE
Publication Date: 1976
Reference Count: 0
Geometry: A Flow Proof Approach.
The inspiration for this text was provided by an exposure to the flow proof approach to a proof format as opposed to the conventional two-column approach. Historical background is included, to provide a frame of reference to give the student an appreciation of the subject. The basic constructions are introduced early and briefly, to aid the process of induction, encourage the student to experiment, and provide an approach to proof. Transformations and similarity are integrated, with congruence reapproached in the unit on transformations through isometries so that all three topics are tied together. Following an introduction, the 22 chapters concern: history of geometry; basic constructions; induction; sets and Venn diagrams; logic and deductive reasoning; the real numbers and distance; the structure of geometry; flow proof; angles and angle measure; indirect proof; congruence; geometric inequalities; parallel lines; quadrilaterals; lines and planes in space; transformations; similarity; circles and spheres; construction problems and locus; plane coordinate geometry; areas of polygons and circles; and areas and volumes of space figures. (MNS)
Publication Type: Guides - Classroom - Teacher
Education Level: N/A
Audience: Teachers; Practitioners
Authoring Institution: N/A
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