数学的問題解決における認知プロセスを記述する枠組みについて

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概要

• 論文の詳細を見る

• This article aims to elaborate a theoretical framework for describing mathematical problem-solving processes, which is based on Goldin's model of internal representational systems. To describe process of problem solving in terms of representation constructed by the solver, two points of view into which partition problem-solving process are prescribed. One is a phase of process as a unified representation that is constructed from the problem (statements) and correspond to a chunk of problem solving activity like "episode" in a sense of Schoenfeld's macroscopic analysis of problem-solving protocols (which is called "a cross section of problem-solving process" or "problem representation" in this article); another is the sequence of the phases (which is called "a longitudinal section of problem-solving process" in this article). Since a chunk of problem solving activity organize (correspond to) a problem representation, we can describe the sequence of a cross section of problem-solving process as sets of problem-solving activity (what kind of activity does the solver engage in?) and problem representation (what kind of representation does the solver deal with?). The basic theoretical framework constructed here is used for describing/discussing "what kinds of cross sections are constructed, what sequence of them is constructed, and how ?" in this article. This discussion make it clear that chain of problem representation (and its transfiguration) and problem-solving activity is one of the mechanism maintaining problem-solving processes, and that one of the source of generating problem-solving activity is a function of "representational system of planning, monitoring, and executive control" (i.e., "deciding the steps to be taken, or moves to be made, within all of the internal representational systems, including itself" (Goldin, 1992, p.250)). On that occasion, the conception of problem-solving strategy is extended (reconceptualized) as "goal-directed operations of activities employed to facilitate/progress problem solving" in order to make it the function of "representational system of planning, monitoring, and executive control" and a interface between problem-solving activity and problem representation.

• 全国数学教育学会の論文
• 1997-00-00

著者

• 山田 篤史

  兵庫教育大学

関連論文

• A Study on Cognitive Process in Mathematical Problem Solving : Segmentation of Problem-Solving Process
• 数学的問題解決における認知プロセスに関する研究 : 表象の詳述化のための枠組みから生起する研究上の問題について(論文発表の部)
• C2 数学的問題解決における認知プロセスに関する研究 : あるアプローチの成功的な転換について(C.問題解決分科会)
• C15 数学的問題解決における認知過程に関する研究 : G.A.Goldinの「数学的問題解決のコンピテンス・モデル」における記述的側面の検討(C.問題解決分科会)
• D3 問題解決過程に関する認知論的研究 : 問題解決過程に関するモデルについての一考察(D 問題解決 分科会)
• 数学的問題解決における認知プロセスを記述する枠組みについて
• 数学的問題解決における認知プロセスに関する研究 : 心像的表象のタイプと機能

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