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アイテム
CAN STUDENTS CONSTRUCT NON-CONSTRUCTIVE REASONING? IDENTIFYING FUNDAMENTAL SITUATIONS FOR PROOF BY CONTRADICTION
https://hiroshima.repo.nii.ac.jp/records/2001028
https://hiroshima.repo.nii.ac.jp/records/20010286c10e7d0-9318-45de-918f-ae824cb334fa
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Proc42thConfIGPME_43.pdf (486.7 KB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-18 | |||||||||||
| タイトル | ||||||||||||
| タイトル | CAN STUDENTS CONSTRUCT NON-CONSTRUCTIVE REASONING? IDENTIFYING FUNDAMENTAL SITUATIONS FOR PROOF BY CONTRADICTION | |||||||||||
| 言語 | en | |||||||||||
| 作成者 |
Hayata, Toru
× Hayata, Toru
× Uegatani, Yusuke
× Hakamata, Ryoto
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| アクセス権 | ||||||||||||
| アクセス権 | open access | |||||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
| 権利情報 | ||||||||||||
| 権利情報 | Copyright © 2018 left to the authors. All rights reserved. | |||||||||||
| 主題 | ||||||||||||
| 主題Scheme | NDC | |||||||||||
| 主題 | 370 | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述 | 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? | |||||||||||
| 言語 | en | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | This work was partially supported by JSPS KAKENHI Grant Number 17H00147. | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | Place; Umeå, SWEDEN Date; 3-8 July, 2018 | |||||||||||
| 出版者 | ||||||||||||
| 出版者 | PME | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_5794 | |||||||||||
| 資源タイプ | conference paper | |||||||||||
| 出版タイプ | ||||||||||||
| 出版タイプ | VoR | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
| 開始ページ | ||||||||||||
| 開始ページ | 43 | |||||||||||
| 書誌情報 |
Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education 巻 3, p. 43-50, 発行日 2018-07-12 |
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| 旧ID | 46414 | |||||||||||
