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Study on mechanism to promote understanding of the mathematics structure about ratio in the arithmetic education

Research Project

Project/Area Number 25381204
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Education on school subjects and activities
Research InstitutionNaruto University of Education

Principal Investigator

SAKAI Takeshi  鳴門教育大学, 大学院学校教育研究科, 准教授 (30609342)

Co-Investigator(Kenkyū-buntansha) HIROSE Takashi  四天王寺大学, 教育学部, 教授 (50452660)
Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords教育学 / 教科教育学 / 算数教育 / 割合指導 / 数理構造 / 信念 / 態度 / 割合 / 概念的知識 / 手続き的知識
Outline of Final Research Achievements

In this study, we developed the investigation problem to measure conceptual knowledge and procedural knowledge as the recognition about ratio and the standard to measure belief and attitude as the mental factor about it. In addition, we classified standards and stages for the understanding of mathematics structure about ratio and clarified the mechanism of the change of the knowledge about it. Furthermore, we performed the design and the practice of the lesson to integrate procedural knowledge with conceptual knowledge about ratio and clarified that this lesson practice was effective for the improvement of recognition, belief and attitude about it. As the background, we clarified that the knowledge as the basics, conceptual knowledge and procedural knowledge as the utilization about the ratio influenced directly and that belief toward ratio and recognition about it influenced mutually through attitude toward it.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (11 results)

All 2016 2015 2013 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Acknowledgement Compliant: 4 results) Presentation (6 results)

  • [Journal Article] 割合の学習における基準量の認識に関する研究ー双方向の見方に関してー2015

    • Author(s)
      坂井武司,高橋正,廣瀬隆司,斎藤昇
    • Journal Title

      数学教育学会誌

      Volume: Vol.56 Pages: 61-73

    • NAID

      130007834157

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 算数教育における割合に対する信念・態度の測定尺度の開発2015

    • Author(s)
      坂井武司,高橋正
    • Journal Title

      甲南大学紀要知能情報学編

      Volume: Vol.8 Pages: 19-31

    • NAID

      40020624933

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 割合に関する概念的知識と手続き的知識の統合2015

    • Author(s)
      坂井 武司,高橋 正,齋藤 昇,廣瀨隆司
    • Journal Title

      数学教育学会誌

      Volume: Vol.56

    • NAID

      130007834133

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Logical analysis of ratio inference by children2015

    • Author(s)
      TAKESHI SAKAI, TADASHI TAKAHASHI
    • Journal Title

      Scientiae Mathematicae Japonicae Online

      Volume: e-2015-20 Pages: 1-23

    • NAID

      130007643118

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 割合についての児童の認識に関する研究2013

    • Author(s)
      坂井武司, 齋藤昇, 高橋正, 廣瀨隆司
    • Journal Title

      数学教育学研究

      Volume: Vol.53, No.3・4 Pages: 97-106

    • NAID

      130007834158

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 割合に関する認知と情意の関係2016

    • Author(s)
      坂井武司,廣瀬隆司,高橋正
    • Organizer
      数学教育学会
    • Place of Presentation
      筑波大学筑波キャンパス(茨城県つくば市)
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] 割合に関する概念的知識と手続き的知識を統合する授業の構築2015

    • Author(s)
      坂井 武司,高橋 正,廣瀨隆司
    • Organizer
      数学教育学会
    • Place of Presentation
      明治大学駿河台キャンパス(東京都千代田区)
    • Year and Date
      2015-03-21
    • Related Report
      2014 Research-status Report
  • [Presentation] 割合に関する児童の推論の論理学的考察2015

    • Author(s)
      坂井 武司,高橋 正,廣瀨隆司
    • Organizer
      全国数学教育学会
    • Place of Presentation
      広島大学大学院教育学研究科・教育学部(広島県東広島市)
    • Year and Date
      2015-01-31
    • Related Report
      2014 Research-status Report
  • [Presentation] 割合についての概念的知識と手続き的知識の関係に関する研究

    • Author(s)
      坂井武司, 廣瀨隆司
    • Organizer
      日本教授学習心理学会
    • Place of Presentation
      九州大学箱崎文系キャンパス(福岡県福岡市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 割合に関する概念的知識の尺度の開発

    • Author(s)
      坂井武司
    • Organizer
      日本数学教育学会
    • Place of Presentation
      山梨大学教育人間科学部附属小学校(山梨県甲府市)
    • Related Report
      2013 Research-status Report
  • [Presentation] 割合に関する手続き的知識の尺度の開発

    • Author(s)
      坂井武司
    • Organizer
      日本数学教育学会
    • Place of Presentation
      山梨大学教育人間科学部附属小学校(山梨県甲府市)
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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