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Abstract
It has become gradually accepted that proof and proving are essential at all grades of mathematical learning. Among the various aspects of proof and proving, this study addresses proofs and refutations described by Lakatos, in particular a part of increasing content by deductive guessing, to introduce an authentic process into mathematics classrooms. This paper analyzes proof problems with diagrams as an appropriate task for this mathematical action, and illustrates, with a sequence of three lessons in the eighth grade, that a certain type of such problems can provide students with an opportunity to engage in this action.
Article
For the Learning of Mathematics. 34(1):36-42 (2014)
Journal
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- For the Learning of Mathematics
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For the Learning of Mathematics 34 (1), 36-42, 2014-03
FLM Pub. Co
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Details 詳細情報について
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- CRID
- 1050001338927031168
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- NII Article ID
- 120007100999
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- NII Book ID
- AA10622771
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- ISSN
- 02280671
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- HANDLE
- 10091/00019395
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles