Title: STUDYING THE MATHEMATICAL CONCEPT OF IMPLICATION THROUGH A PROBLEM ON WRITTEN PROOFS
Abstract: In this paper, we present a didactic analysis of the mathematical concept of implication under three points of view : sets, formal logic, deductive reasoning. For this study, our hypothesis is that most of the difficulties and mistakes, as well in the use of implication as in its understanding, are due to the lack of links in education between those three points of view. This article is in the continuation of one previously published in the acts of PME 26. We present here the analysis of another problem from our experimentation. We want to show how a work on written proofs can allow a work on implication. Then we conclude with some transcripts.
Publication Year: 2004
Publication Date: 2004-07-01
Language: en
Type: article
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Cited By Count: 3
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