A New Framework Based on the Methodology of Scientific Research Programs for Describing the Quality of Mathematical Activities
Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education 4 巻
291-298 頁
2016-10-15 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
A New Framework Based on the Methodology of Scientific Research Programs for Describing the Quality of Mathematical Activities
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| 作成者 | |
| 収録物名 |
Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education
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| 巻 | 4 |
| 開始ページ | 291 |
| 終了ページ | 298 |
| 抄録 |
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.
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| 内容記述 |
Place; Szeged, HUNGARY Date; 3-7 August, 2016
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| NDC分類 |
数学 [ 410 ]
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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 | 2016-10-15 |
| 権利情報 |
Copyright (c) 2016 left to authors (Standard Copyright License)
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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 |
| 収録物識別子 |
[ISBN] 9781365463457
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