数学的問題解決におけるふり返り活動による解法の進展について : 「じゃんけん問題」の解決におけるふり返り活動の分析

DOI Web Site

書誌事項

タイトル別名
  • Development of Solution through Looking-back Activities in Mathematical Problem Solving : Analysis of Looking-back Activities during or after Solving "Paper-Rock-Scissors Problem"
  • スウガクテキ モンダイ カイケツ ニ オケル フリ カエリ カツドウ ニ ヨル カイホウ ノ シンテン ニ ツイテ ジャ ンケンモンダイ ノ カイケツ ニ オケル フリ カエリ カツドウ ノ ブンセキ

この論文をさがす

抄録

The aim of our continuous studies is to investigate the function of "self-referential activity" in mathematical problem solving. The term "self-referential activity" means solver's activities that she/he refers to her/his own solving processes or products during or after problem solving. Since study (VII), we turned our focus to the self-referential activity after temporary termination of initial problem solving, i.e., "looking-back" activity in problem solving, and theoretically identified six functions of looking-back activity in problem solving. And, in study (VIII) and (IX), we examined some kinds of looking-back activity and the effectiveness of looking-back treatments for developing solver's solution in a paper-and-pencil environment. The aim of this article is to investigate problem-solving and looking-back activities for solving "Paper-Rock-Scissors Problem" in interview environment. In order to investigate them, two types of paper-rock-scissors problems were offered to subjects, which had same problem structure but the second problem was more complicated and relatively difficult. And, the interview was conducted with the method of suggesting a specific type of looking-back activity corresponding to the subject's solution. From the videotaped interview data, the situations of emergence of looking-back activity and the aspects of contribution to the development of solution were intensively analyzed. The main results are the followings; 1) the cases were found that the development of solution was provoked by looking-back activity after problem solving as well as during problem solving. 2) the case was found that looking back previous (easier) problem and/or their own first solution during second (more difficult) problem solving activity contributed to the understanding of the second problem situation and the development of solution. 3) "direct suggestion from others", "making the problem more difficult/advanced", "discrepancy between estimation/expectation and result", "verification of consistency among multiple answers or solutions" and were supposed to be the trigger of emergence of looking-back activity.

収録刊行物

関連プロジェクト

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ