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ID 43852
本文ファイル
著者
Uegatani, Yusuke
Koyama, Masataka 大学院教育学研究科 広大研究者総覧
NDC
数学
抄録(英)
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.
内容記述
Place; Szeged, HUNGARY Date; 3-7 August, 2016
掲載誌名
Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education
4巻
開始ページ
291
終了ページ
298
出版年月日
2016-10-15
出版者
PME
ISBN
9781365463457
言語
英語
NII資源タイプ
会議発表論文
広大資料タイプ
会議発表論文
DCMIタイプ
text
フォーマット
application/pdf
著者版フラグ
publisher
権利情報
Copyright (c) 2016 left to authors (Standard Copyright License)
部局名
附属学校部
教育学研究科