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ラカトシュの可謬主義から見た数学的探究とその教育的意義 : 証明に焦点を当てて
http://hdl.handle.net/10091/00019474
http://hdl.handle.net/10091/0001947495def771-a43a-4f2b-88ed-119a2d9e59a8
名前 / ファイル | ライセンス | アクション |
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Mathematical_Inquiry_Educational_Values_Lakatosian_Fallibilist_Perspective.pdf (1.9 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-02-22 | |||||
タイトル | ||||||
言語 | ja | |||||
タイトル | ラカトシュの可謬主義から見た数学的探究とその教育的意義 : 証明に焦点を当てて | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題 | mathematical Inquiry, proof and proving, Lakatos, fallibilism, proofs and refutations, heuristic rule, increasing content by deductive guessing, action proof | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
その他(別言語等)のタイトル | ||||||
その他のタイトル | Mathematical Inquiry and Its Educational Values from a Lakatosian Fallibilist Perspective : Focusing on Proof and Proving | |||||
著者 |
小松, 孝太郎
× 小松, 孝太郎 |
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信州大学研究者総覧へのリンク | ||||||
氏名 | 小松, 孝太郎 | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.jNACPhLh.html | |||||
出版者 | ||||||
出版者 | 科学教育研究学会 | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 科学教育研究. 35(3):272-286 (2011) | |||||
書誌情報 |
科学教育研究 巻 35, 号 3, p. 272-286, 発行日 2011-09 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Recently, owing to their desire to cultivate pupils' ability to learn and think for themselves, educational researchers and practitioners emphasize inquiry-based learning. Toward inquiry-based learning relying on proof and proving, this paper deliberates a normative meaning of mathematical inquiry from a Lakatosian fallibilist perspective, and discusses educational values of mathematical inquiry. Firstly, this paper examines three aspects of mathematical inquiry and their sub-aspects, through analyzing Lakatos' chief book Proofs and Refutations (Lakatos, 1976) in detail. By synthesis of these aspects, this paper then conceptualizes the meaning of mathematical inquiry as "conjecturing statements through investigation of properties or relations of mathematical objects, proving them, and then refining the statements and proofs through refuting them, with the aim to reducing their uncertainty". Subsequently, this paper discusses educational values of the mathematical inquiry from three standpoints; change of pupils' views of mathematics, and their learning on methods for productive mathematical activities; change of pupils' views of proof and proving; learning of proof and proving from primary school level. | |||||
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 | 0386-4553 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00036978 | |||||
論文ID(NAID) | ||||||
識別子タイプ | NAID | |||||
関連識別子 | 110008750051 | |||||
異版である | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | URI | |||||
関連識別子 | http://ci.nii.ac.jp/naid/110008750051 | |||||
権利 | ||||||
権利情報 | 日本科学教育学会 | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |