Two Kinds of "Elements" and the Dialectic between Synthetic-deductive and Analytic-genetic Approaches in Mathematics.

Steiner, Hans-Georg

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Peer reviewed

ERIC Number: EJ389601

Record Type: Journal

Publication Date: 1988

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Two Kinds of "Elements" and the Dialectic between Synthetic-deductive and Analytic-genetic Approaches in Mathematics.

Steiner, Hans-Georg

For the Learning of Mathematics, v8 n3 p7-15 Nov 1988

Describes two kinds of elements in mathematics: Euclid's and Bourbaki's. Discusses some criticisms on the two concepts of elements from a philosophical, methodological, and didactical point of view. Suggests a complementarist view and several implications for mathematics education. (YP)

Descriptors: Epistemology, Mathematical Concepts, Mathematical Logic, Mathematicians, Mathematics, Mathematics Curriculum, Mathematics Education, Mathematics Instruction, Philosophy, Theories

Publication Type: Journal Articles; Reports - Descriptive

Education Level: N/A

Audience: N/A

Language: English

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