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UN EXEMPLE de CADRE CONCEPTUEL POUR L'ÉTUDE de L'ENSEIGNEMENT de la GÉOMÉTRIE en FORMATION des MAÎTRES
被引:4
|作者:
Houdement C.
[1
]
Kuzniak A.
[2
]
机构:
[1] I.U.FM. de Haute Normandie, BP 18
[2] Université Louis Pasteur et I.U.F.M. d'Alsace, Département de Mathématiques, 7 rue René Descartes
关键词:
Primary School;
Scholar System;
Elementary Geometry;
Conceptual Frame;
Teaching Geometry;
D O I:
10.1023/A:1003851228212
中图分类号:
学科分类号:
摘要:
We are interested in the teaching of geometry to primary school (children from 3 to 11) teachers. We define a priori a conceptual frame, which organises geometry upon three kinds of knowledge: intuition, experience and deduction. Drawing on Gonseth's works, we bring out three syntheses of elementary geometry: natural geometry (geometry I), natural axiomatic geometry (geometry II) and formalist axiomatic geometry (geometry III). Next we illustrate this conceptual frame with examples of teaching geometry. Last we bring out different conceptions of geometry in scholar system which could lead to cross purposes. © 1999 Kluwer Academic Publishers.
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页码:283 / 312
页数:29
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