問題解決スキーマとその構成に関する考察

概要

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The object of this paper shall be to clear the fragment of knowledge which operates effectively in mathematical problem solving and to suggest the strategies for making students construct it. First of all, I drew the fact that the problem structure is determined by initial state of problem consisting of conditions and goal of the problem. Then I presented an abstract and generalized knowledge which takes the form of "when (conditions) are given and we want to get (goal), we can solve the problem by following (solution plan)". I called this knowledge as "problem solving schema" and gave some examples that it operated effectively in mathematical problem solving. Subsequently I carried out an investigation to inquire the effect of giving verbal expression or diagram of problem solving schema upon the construction of it. It is the findings that it is more effective for making students construct problem solving schema to give an verbal expression of it than to give a diagram of it.
全国数学教育学会の論文