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Connecting theories and practices of mathemathics lesson designs to achieve deep mathematics learning for all

Research Project

Project/Area Number 17H06913
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Education on school subjects and activities
Research InstitutionKagawa University

Principal Investigator

Matsushima Mitsuru  香川大学, 教育学部, 准教授 (70804128)

Project Period (FY) 2017-08-25 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords対話の相互作用モデル / 数学学習の深化 / 授業デザインの視点 / 対話相互作用モデル / 数学概念の深化 / デザイン研究 / 協調学習 / デザイン原則 / 理論と実践の往還 / すべての子ども / 対話 / 体系化 / 算数・数学学習
Outline of Final Research Achievements

The reason why dialogue was indispensable to learn mathematics, the research purpose (1), was explained from the standpoint of fallibilism, and the characteristic of dialogue was shown.In order to achieve deep mathematics learning, the importance of setting up meta-mathematical activities was shown, in which mathematical ideas were set as a viewpoint of dialogue with regard to mathematical activities for the initial problem solving.Also, we constructed an interaction model of the dialogue by three,learners, interlocutors, and the entire learning group.
About the construction of viewpoints to achieve deep mathematical learning for all, the research purpose (2), it became obviouslly each seven points of knowledge were obtained in terms of content and learning methods through three practicies.

Academic Significance and Societal Importance of the Research Achievements

算数・数学学習に対話がなぜ必要不可欠なのかを数学の哲学,認知科学から説明した。また,対話によって数学学習が深まる対話の相互作用モデルを,学習者,対話者,学習集団全体という三者モデルによって示した。
すべての子どもが数学学習を深化させる算数・数学の授業デザインの視点の構築については,三種の授業実践から数学学習を深化させるための授業デザインへの知見として,数学の内容面と学習の方法面から各七点の知見が得られた。

Report

(3 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Annual Research Report
  • Research Products

    (6 results)

All 2019 2018

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (3 results) Book (1 results)

  • [Journal Article] 算数・数学教育における個人と学習集団全体の対話モデル化-Ernest,P.(2010)の立場を基に-2018

    • Author(s)
      松島 充
    • Journal Title

      数学教育学研究

      Volume: 24(2) Pages: 109-118

    • NAID

      130008164077

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 専有の視点から見た数学学習の質的分析2018

    • Author(s)
      松島 充
    • Journal Title

      秋期研究大会発表集録

      Volume: 51 Pages: 113-120

    • NAID

      40021939951

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Presentation] コモグニション論の視点から見た授業デザイン-小学校3年「三角形」の実践からー2019

    • Author(s)
      松島 充,清水顕人
    • Organizer
      全国数学教育学会,第49回研究発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 十進位取り記数法のよさの感得を目指したデザイン研究-数学史と問題づくりを用いた実践から-2018

    • Author(s)
      松島 充,玉木祐治
    • Organizer
      全国数学教育学会,第47回研究発表会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 十進位取り記数法のよさの感得を目指したデザイン研究2018

    • Author(s)
      松島充,玉木祐治
    • Organizer
      全国数学教育学会
    • Related Report
      2017 Annual Research Report
  • [Book] 科研報告書 すべての子どもが算数・数学学習を深める算数・数学の授業デザインの理論と実践の往還2019

    • Author(s)
      松島 充
    • Total Pages
      196
    • Publisher
      美巧社
    • Related Report
      2018 Annual Research Report

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Published: 2017-08-25   Modified: 2020-03-30  

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