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  1. 020 教育学部, 大学院教育学研究科
  2. 0201 学術論文

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
IJMEST_45_7_AM.pdf IJMEST_45_7_AM.pdf (1.4 MB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 102903

Komatsu, Kotaro

Search repository
Tsujiyama, Yosuke

× Tsujiyama, Yosuke

WEKO 102919

Tsujiyama, Yosuke

Search repository
Sakamaki, Aruta

× Sakamaki, Aruta

WEKO 102920

Sakamaki, Aruta

Search repository
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
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
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