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Elementary student's mathematical hypothetis and explanation: to identify scientifically their situation

Research Project

Project/Area Number 18K13164
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 09040:Education on school subjects and primary/secondary education-related
Research InstitutionNaruto University of Education

Principal Investigator

Hayata Toru  鳴門教育大学, 大学院学校教育研究科, 講師 (20803646)

Project Period (FY) 2018-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords数学教育 / 算数科における説明 / 教科書分析 / 説明の構造 / 日本の教科書 / プラクセオロジー / 間接的説明 / 数学教育学 / 算数における説明
Outline of Final Research Achievements

Purpose of this study is to identify elementary school's actual situation that is related with mathematical explanation. According to our preliminary analysis, we identified the term "explanation" in elementary mathematics is unclear and undefined. Thus, our research question is i) how and what do mathematics textbooks intend to teach mathematical explanation? ii) What is the structure of junior highs school student's mathematical explanation?
As a result, we identified, for example, the textbooks of 6th grade has issue, there are tendency of that students do not intend to clarify the warrant (logical basis), and so on.

Academic Significance and Societal Importance of the Research Achievements

本研究の学術的意義として,1)小学校算数科教科書における説明を評価したこと,またそのための方法論を確立したこと。2)算数教育を受け終わった子どもの説明が持つ構造や傾向。以上二点を明らかにしたことが挙げられる。特に,1)と関連した方法論の開発は,今後の国際的な発展,他教科への波及が期待される。
また,その社会的意義として,教科書やカリキュラムを作成するに際して,具体的な提言が行えたことが挙げられる。

Report

(3 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • Research Products

    (11 results)

All 2019 2018

All Journal Article (3 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 3 results,  Open Access: 1 results) Presentation (8 results) (of which Int'l Joint Research: 4 results)

  • [Journal Article] Theory of geometrical thinking in elementary textbook: case study of Japan2019

    • Author(s)
      Hayata, T & Amori, S
    • Journal Title

      Proceedings of the Third International Conference of Mathematics Textbook Research and Development

      Volume: - Pages: 191-196

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 間接的アーギュメンテーションの構造に関する研究-中学校3年生と高等学校1年生のペアトークの比較から-2019

    • Author(s)
      早田 透. 上ヶ谷 友佑. & 袴田 綾斗.
    • Journal Title

      日本数学教育学会 第52回秋期研究大会発表収録

      Volume: - Pages: 97-104

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Can students construct non-constructive reasoning?: identifying fundamental situations for proof by contradiction2018

    • Author(s)
      Hayata, T. Uegatani, Y. & Hakamata, R
    • Journal Title

      Proceedings of the 42th Annual Conference of the International Group for the Psychology of Mathematics Education

      Volume: 3 Pages: 43-50

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] 間接的アーギュメンテーションの構造に関する研究-中学校3年生と高等学校1年生のペアトークの比較から-2019

    • Author(s)
      早田 透. 上ヶ谷 友佑. & 袴田 綾斗.
    • Organizer
      日本数学教育学会 第52回秋期研究大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Theory and teacher education: case study of mathematical argumentation2019

    • Author(s)
      Hayata, T
    • Organizer
      第8回日中教師教育学術研究集会
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Theory of geometrical thinking in elementary textbook: case study of Japan2019

    • Author(s)
      Hayata, T. & Amori, S.
    • Organizer
      Third International Conference of Mathematics Textbook Research and Development
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 間接的説明の表現に影響を与える文化的要素の考察-「矛盾」の言語使用に注目して-2019

    • Author(s)
      袴田 綾斗. 上ヶ谷 友佑. & 早田 透.
    • Organizer
      日本科学教育学会第43回年会,課題研究発表3
    • Related Report
      2019 Annual Research Report
  • [Presentation] 間接証明と間接的アーギュメンテーションの中間的段階に関する一考察 -中学2年生のペアトークによる問題解決の観察事例から-2019

    • Author(s)
      袴田綾斗,上ヶ谷友佑,早田透
    • Organizer
      全国数学教育学会 第49回研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] 中学生の同一法の認識に関する探索的研究 -教科書比較を通じた分析枠組みの検討-2018

    • Author(s)
      上ヶ谷友佑,袴田綾斗,早田透
    • Organizer
      全国数学教育学会 第49回研究発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] Can students construct non-constructive reasoning?: identifying fundamental situations for proof by contradiction2018

    • Author(s)
      Hayata, T. Uegatani, Y. & Hakamata, R
    • Organizer
      The 42th Annual Conference of the International Group for the Psychology of Mathematics Education
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] A study on indirect proof and argumentation in Japan: preliminary analysis of students’ indirect reasoning2018

    • Author(s)
      Hakamata, R. Uegatani, Y. & Hayata, T.
    • Organizer
      International Seminar of Research on Teaching and Learning Mathematical Proof
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research

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Published: 2018-04-23   Modified: 2021-02-19  

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