ID | 63379 |
フルテキストURL | |
著者 |
Ishibashi, Ippo
Okayama University
researchmap
Uegatani, Yusuke
Hiroshima University High School
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抄録 | This study proposes a theoretical view for bridging mathematical modeling and word problem-solving activities. We introduce and elaborate on two theoretical ideas of the fictionality of word problems and the creation of possible fictional worlds. A world described by a word problem exists only fictionally (or potentially). A fictional world includes any imaginable world, any model for the real world, and any mathematical model. We developed a semi-open problem based on these theoretical ideas and observed Japanese eighth-grade students’ activity when solving it in an experimental lesson. Consequently, we identified a theoretically overlooked type of validation: considering the cultural relevance of solutions. The most important implication we draw from our observation is that the current definition of validation as a comparison between two stages in modeling should be extended to consider the integration of a target into a base possible fictional world.
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キーワード | Mathematical modeling
Mathematical word problem-solving
Validation
Fictionality of word problems
Creation of possible fictional worlds
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備考 | © 2022 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 License. http://creativecommons.org/licenses/by-nc-nd/4.0/.
This is the accepted manuscript version. The formal published version is available at
https://doi.org/10.1016/j.jmathb.2022.100934
This fulltext is available in Feb.2024.
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発行日 | 2022-06
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出版物タイトル |
The Journal of Mathematical Behavior
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巻 | 66巻
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出版者 | Elsevier BV
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開始ページ | 100934
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ISSN | 0732-3123
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NCID | AA10619799
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資料タイプ |
学術雑誌論文
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言語 |
英語
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OAI-PMH Set |
岡山大学
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著作権者 | © 2022 Elsevier Inc.
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論文のバージョン | author
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DOI | |
Web of Science KeyUT | |
関連URL | isVersionOf https://doi.org/10.1016/j.jmathb.2022.100934
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ライセンス | http://creativecommons.org/licenses/by-nc-nd/4.0/
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助成機関名 |
Japan Society for the Promotion of Science
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助成番号 | 20K22188
18K13162
21K13587
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