多世界パラダイムに基づく算数授業における社会的相互作用の規範的モデルの開発研究(Ⅱ) ―「 場合の数」の授業による検証 ―

URI http://repository.ipu-japan.ac.jp/metadata/189
FulltextURL
Title
多世界パラダイムに基づく算数授業における社会的相互作用の規範的モデルの開発研究(Ⅱ) ―「 場合の数」の授業による検証 ―
Title Alternative
Research on development of the prescriptive model for designing social interactions in an elementary mathematics class based on the multi-world paradigm (II) ― Verification of its effectiveness through teaching and learning of‘ number of outcomes’ ―
Author
著者 中原 忠男
著者(別表記) NAKAHARA Tadao
著者 岡崎 正和
著者(別表記) OKAZAKI Masakazu
著者 小山 正孝
著者(別表記) KOYAMA Masataka
著者 山口 武志
著者(別表記) YAMAGUCHI Takeshi
著者 吉村 直道
著者(別表記) YOSHIMURA Naomichi
著者 加藤 久恵
著者(別表記) KATO Hisae
著者 片山 元
著者(別表記) KATAYAMA Hajime
Abstract

This study aims at constructing the prescriptive model which has the theoretical background of social interactions in elementary mathematics classrooms and at the same time which is effective and applicable to teaching practices at elementary school level. In this paper we verify the effectiveness of this model through a teaching experiment on six grade classes of‘ number of outcomes’. As a result of analysis, we found that the fundamental process of being conscious, solving by the individuals, solving by small group, being reflective, and then making agreement, in particular the small group activity, contributed to the development of the children’s understanding of‘ number of outcomes’. Also, it was suggested that the children’s solving activities progressed from their ‘individual’ solution to‘ quasi-general’, and‘ general’ ones. We also identified the types of intentions of the social interaction: Share of the premise, having and devising their own ideas, sharing the ideas with others, reflecting on the merit and limit of the ideas, abstracting and generalizing from the ideas, finding the commonality, characteristics, and limits among the representations. Moreover, as to the interaction with representations, we found that the children could devise their own representations in order to prevent the overlap and omission, and also recognize that the representations by polygon and table equipped such devices. These findings demonstrate the effectiveness of the prescriptive model for teaching practices.

Subject
370 Education
410 Mathematics
Keyword
算数授業 (elementary mathematics class)
多世界パラダイム (multi-world paradigm)
社会的相互作用 (social interaction)
規範的モデル (prescriptive model)
Publish Date
2014-03-20
Publication Title
環太平洋大学研究紀要
Publication Title Alternative
Bulletin of International Pacific University
Volume
8
Start Page
105
End Page
114
ISSN
1882-479X
NCID
AA1230704X
Publisher
環太平洋大学
Publisher Alternative
International Pacific University
Copyright Holders
環太平洋大学
Contents Type
Departmental Bulletin Paper
language
Japanese
File Version
publisher