Research on the Complementarity of Intuition and Logical Thinking in the Process of Understanding Mathematics : An Examination of the Two-Axes Process Model by Analyzing an Elementary School Mathematics Class
Hiroshima journal of mathematics education 5 巻
21-33 頁
1997-03 発行
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この文献の参照には次のURLをご利用ください : https://ir.lib.hiroshima-u.ac.jp/00029287
| ファイル情報(添付) | |
| タイトル ( eng ) |
Research on the Complementarity of Intuition and Logical Thinking in the Process of Understanding Mathematics : An Examination of the Two-Axes Process Model by Analyzing an Elementary School Mathematics Class
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| 作成者 | |
| 収録物名 |
Hiroshima journal of mathematics education
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| 巻 | 5 |
| 開始ページ | 21 |
| 終了ページ | 33 |
| 抄録 |
The purpose of this research is to demonstrate the complementarity of intuition and logical thinking in a process of understanding mathematics basing on two basic notions of mental model and reflective thinking. In this paper, we examine the validity of the so-called "two-axes process model", especially the horizontal axis consists of three learning stages by analyzing an elementary school mathematics class. Firstly, we identify some mental models of length which students have initially at the class and lead to a misjudgement or a mathematically incorrect anticipatory intuition. Secondarily, we observe how such intuition has been changed under the control of students' reflective thinking in a whole-class discussion. As a result of the protocol analysis of a class, the validity of the horizontal axis of the model is documented.
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| NDC分類 |
教育 [ 370 ]
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| 言語 |
英語
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| 資源タイプ | 紀要論文 |
| 出版者 |
Department of Mathematics Education, Faculty of Education, Hiroshima University
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| 発行日 | 1997-03 |
| 出版タイプ | Version of Record（出版社版。早期公開を含む） |
| アクセス権 | オープンアクセス |
| 収録物識別子 |
[ISSN] 0919-1720
[NCID] AN10444573
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