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The handling of geometry definitions in school textbooks

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Author:Michael de Villiers; Mathematics Education, Univ. of Durban-Westville, South Africa
Description: Some historical background and a discussion of the value of students constructing their own understanding of mathematical proofs; misconceptions that arise from ready-made definitions; and the advantage of a constructivist approach, which allows pupils to formulate their own definitions irrespective of whether they are partitional or hierarchical. An editorial that appeared in Pythagoras 38, pp. 3-4, Dec 1995 - the official journal of the Association for Mathematics Education of South Africa (AMESA).
Levels: High School (9-12)
Languages: English
Resource Types: Articles
Math Topics: Euclidean Plane Geometry, Logic/Foundations
Math Ed Topics: Constructivism

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