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- 小松 孝太郎
- 信州大学教育学部
書誌事項
- タイトル別名
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- Mathematical Inquiry and Its Educational Values from a Lakatosian Fallibilist Perspective : Focusing on Proof and Proving
- ラカトシュ ノ カビュウシュギ カラ ミタ スウガクテキ タンキュウ ト ソノ キョウイクテキ イギ ショウメイ ニ ショウテン オ アテテ
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説明
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.
収録刊行物
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- 科学教育研究
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科学教育研究 35 (3), 272-286, 2011
一般社団法人 日本科学教育学会
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詳細情報 詳細情報について
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- CRID
- 1390001205750331392
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- NII論文ID
- 110008750051
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- NII書誌ID
- AN00036978
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- ISSN
- 21885338
- 03864553
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- HANDLE
- 10091/00019474
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- NDL書誌ID
- 11260345
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- 本文言語コード
- ja
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- 資料種別
- journal article
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- データソース種別
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- JaLC
- IRDB
- NDLサーチ
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
