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Rethinking the discovery function of proof within the context of proofs and refutations
http://hdl.handle.net/10091/00019394
30802384-bbc7-4e1b-87c4-7ca10b33a481
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-02-07 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Rethinking the discovery function of proof within the context of proofs and refutations | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | proof and proving | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | discovery function | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | refutation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | counterexample | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Komatsu, Kotaro
× Komatsu, Kotaro× Tsujiyama, Yosuke× Sakamaki, Aruta |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Komatsu, Kotaro | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.jNACPhLh.html | |||||
出版者 | ||||||
出版者 | Taylor & Francis | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | International Journal of Mathematical Education in Science and Technology. 45(7):1053-1067 (2014) | |||||
書誌情報 |
International Journal of Mathematical Education in Science and Technology 巻 45, 号 7, p. 1053-1067, 発行日 2014 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this paper focuses on the discovery function that refers to invention of a new statement or conjecture by reflecting on or utilizing a constructed proof. Based on two cases in which eighth and ninth graders engaged in proofs and refutations, we demonstrate that facing a counterexample of a primitive statement can become a starting point of students’ activity for discovery, and that a proof of the primitive statement can function as a useful tool for inventing a new conjecture that holds for the counterexample. An implication for developing tasks by which students can experience this discovery function is mentioned. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0020-739X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00680498 | |||||
DOI | ||||||
関連識別子 | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1080/0020739X.2014.902135 | |||||
関連名称 | ||||||
関連名称 | 10.1080/0020739X.2014.902135 | |||||
権利 | ||||||
権利情報 | This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology, Published online: 03 Apr 2014, available online: http://www.tandfonline.com/ , https://doi.org/10.1080/0020739X.2014.902135 . | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |