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An Origin of Prescriptions for Our Mathematical Reasoning (Long version)
https://hiroshima.repo.nii.ac.jp/records/2001007
https://hiroshima.repo.nii.ac.jp/records/200100715f9eb2a-df32-4ab5-ba62-e2199595d34a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Proc17thAnnConfRUME_312.pdf (1.4 MB)
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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 | An Origin of Prescriptions for Our Mathematical Reasoning (Long version) | |||||||
| 言語 | en | |||||||
| 作成者 |
Uegatani, Yusuke
× Uegatani, Yusuke
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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 (c) 2014 left to authors | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Inquiring minds | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Prescriptive perspective | |||||||
| 主題 | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Mathematical reasoning | |||||||
| 主題 | ||||||||
| 主題Scheme | NDC | |||||||
| 主題 | 410 | |||||||
| 内容記述 | ||||||||
| 内容記述 | To build a supplementary theory from which we can derive a practical way of fostering inquiring minds in mathematics, this paper proposes a theoretical perspective that is compatible with existing ideas in mathematics education (radical constructivism, social constructivism, APOS theory, David Tall’s framework, the framework of embodied cognition, new materialist ontologies). We focus on the fact that descriptive and prescriptive statements can be treated simultaneously, and consider both descriptive and instantiated models in our minds. This indicates that descriptive statements in mathematics come from our descriptions of models, and prescriptive statements come from the instantiatedness of the instantiated models and non-existence of counterexample. As a practical suggestion from the proposed perspective, we point out that careful communication is needed so that students do not recognize the refutation of their arguments as a denial of their way of mathematical thinking. | |||||||
| 言語 | en | |||||||
| 内容記述 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | This work was supported by Grant-in-Aid for JSPS Fellows No. 252024. | |||||||
| 内容記述 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | Place; Denver,COLORADO Date; February 27- March 1, 2014 | |||||||
| 出版者 | ||||||||
| 出版者 | The Special Interest Group of The Mathmatics Association of America (SIGMAA) for Research in Underguraduate Mathmatics Education | |||||||
| 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 | 312 | |||||||
| 書誌情報 |
Proceedings of 17th Annual Conference on Research in Undergraduate Mathematics Education Proceedings of 17th Annual Conference on Research in Undergraduate Mathematics Education p. 312-320, 発行日 2014 |
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| 旧ID | 43850 | |||||||
