CAN STUDENTS CONSTRUCT NON-CONSTRUCTIVE REASONING? IDENTIFYING FUNDAMENTAL SITUATIONS FOR PROOF BY CONTRADICTION
Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education 3 巻
43-50 頁
2018-07-12 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
CAN STUDENTS CONSTRUCT NON-CONSTRUCTIVE REASONING? IDENTIFYING FUNDAMENTAL SITUATIONS FOR PROOF BY CONTRADICTION
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| 作成者 |
Hayata Toru
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| 収録物名 |
Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education
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| 巻 | 3 |
| 開始ページ | 43 |
| 終了ページ | 50 |
| 抄録 |
The purpose of this study is to identify and empirically corroborate a fundamental situation (Brousseau, 1997) for constructing “proof by contradiction.” We identified the four elements of a fundamental situation: i) obtaining strong conviction; ii) negating the given proposition naturally without being aware of the assumption; iii) finding a contradiction easily; and iv) noticing the origin of the contradiction. Based on this study, a new research question arises: How can students construct “proof by contradiction” using teacher support?
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| 内容記述 |
This work was partially supported by JSPS KAKENHI Grant Number 17H00147.
Place; Umeå, SWEDEN Date; 3-8 July, 2018
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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 | 会議発表論文 |
| 出版者 |
PME
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| 発行日 | 2018-07-12 |
| 権利情報 |
Copyright © 2018 left to the authors. All rights reserved.
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| 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 |
