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A New Framework Based on the Methodology of Scientific Research Programs for Describing the Quality of Mathematical Activities
https://hiroshima.repo.nii.ac.jp/records/2001027
https://hiroshima.repo.nii.ac.jp/records/2001027035865c3-9eb6-4bf3-b14d-81dbdc660b29
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
Proc40thConfIGPME_291.pdf (4.5 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 | A New Framework Based on the Methodology of Scientific Research Programs for Describing the Quality of Mathematical Activities | |||||||||
| 言語 | en | |||||||||
| 作成者 |
Uegatani, Yusuke
× Uegatani, Yusuke
× Koyama, Masataka
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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) 2016 left to authors (Standard Copyright License) | |||||||||
| 主題 | ||||||||||
| 主題Scheme | NDC | |||||||||
| 主題 | 410 | |||||||||
| 内容記述 | ||||||||||
| 内容記述 | This paper proposes a new framework for describing the quality of mathematical activities under radical constructivism. It is based on Lakatos' philosophy of science, instead of his philosophy of mathematics. We focus on a structural similarity between mathematical problem-solving activities and scientific research programs. While Lakatos 'philosophy of mathematics is only a model of a progressive activity, the new framework can distinguish between progressive and degenerative activities. To show its usefulness, we provide a sample analysis. Based on the analysis, we hypothesize that the zig-zag process of solving a mathematical problem is driven by a hard core: A set of one's unrevised assumptions that one would like to continue to maintain. The necessity of further research with the proposed framework is suggested. | |||||||||
| 言語 | en | |||||||||
| 内容記述 | ||||||||||
| 内容記述タイプ | Other | |||||||||
| 内容記述 | Place; Szeged, HUNGARY Date; 3-7 August, 2016 | |||||||||
| 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 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | ISBN | |||||||||
| 関連識別子 | 9781365463457 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 291 | |||||||||
| 書誌情報 |
Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education 巻 4, p. 291-298, 発行日 2016-10-15 |
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| 旧ID | 43852 | |||||||||
