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The development of systematic and consistent curriculum about teaching ratio at from primary school level to secondary school level

Research Project

Project/Area Number 20K02761
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 09040:Education on school subjects and primary/secondary education-related
Research InstitutionShizuoka University

Principal Investigator

Kumakura Hiroyuki  静岡大学, 教育学部, 教授 (00377706)

Co-Investigator(Kenkyū-buntansha) 松元 新一郎  静岡大学, 教育学部, 教授 (40447660)
近藤 裕  奈良教育大学, 数学教育講座, 教授 (80551035)
早川 健  山梨大学, 大学院総合研究部, 教授 (40585387)
Project Period (FY) 2020-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2022: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2021: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2020: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords数学教育 / 割合 / 体系的カリキュラム / 比 / フィンランド
Outline of Research at the Start

算数科の指導内容である「割合」の理解や活用力について,多くの課題があることが長年にわたり指摘されてきた。そこで本研究は,これまでの研究成果をもとに,「割合」についての理解を深め活用力を高める教材と効果的な指導法を実証的に明らかにして,小・中・高を一貫した「割合」指導の体系的カリキュラムを構築し提言することを研究目的とする。
そのために,①最新のフィンランドのカリキュラム・教材の調査を行い,②「割合」の理解を深め活用力を高める効果的な教材・指導法を開発し,③小学校・中学校・高等学校でそれぞれ実践を行い有効性を検証し,④小・中・高を一貫した「割合」指導の体系的カリキュラムの構築・提言を行う。

Outline of Final Research Achievements

The purpose of this study was to empirically clarify teaching materials and effective teaching methods to deepen students' understanding of ratio and improve their ability to utilize it, and to construct and propose a systematic curriculum for teaching ratio consistently at elementary, middle, and high schools.
For this purpose, we focused on the Finnish curriculum, in which ratio is also taught in middle and high schools, and analyzed textbooks. In addition to the survey of middle school, high school, and university students, we conducted a survey of elementary school students to clarify issues in understanding ratio among elementary through university students. In addition, we held a total of 11 lesson studies about ratio at elementary, middle, high schools, and examined how effective teaching should be. Based on these findings, we constructed a systematic curriculum for teaching ratio consistently at elementary, middle, and high schools, and presented it in a paper.

Academic Significance and Societal Importance of the Research Achievements

小学生から高校生まで,割合の理解に課題があることが指摘されて久しい。このような実態を改善するためには,現在指導している小学校算数科だけではなく,中学校数学科や高等学校数学科でも,割合の理解を深める指導を継続的かつ体系的に指導していくことが有効であると考えられる。
本研究は,そのことを実現するために,小・中・高を一貫した割合指導の体系的カリキュラムを構築して提言した点に社会的意義がある。限られた指導時間の中で,既存の学習指導要領を変更することなく,工夫して割合の理解を深める意図的な指導を提案している点は,実現可能性が高く,この提案を実行することにより割合の理解が深まることが期待できる。

Report

(5 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (17 results)

All 2024 2023 2022 2021 2020 Other

All Int'l Joint Research (2 results) Journal Article (9 results) (of which Peer Reviewed: 6 results,  Open Access: 9 results) Presentation (6 results)

  • [Int'l Joint Research] Tampere University/University of Turku(フィンランド)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Tampere University(フィンランド)

    • Related Report
      2022 Research-status Report
  • [Journal Article] Systematic Curriculum and its Specifics of Ratio Teaching for Elementary, Middle, and High Schools2024

    • Author(s)
      熊倉啓之・國宗進・松元新一郎・近藤裕・早川健
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 34 Pages: 183-192

    • DOI

      10.14945/0002000282

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/2000282

    • Year and Date
      2024-03-11
    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Cross-Sectional Survey Research on the Essential Understanding of Ratio among Elementary, Junior High, and High School Students2024

    • Author(s)
      石原比奈子・伊藤 悠人・松元新一郎
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 34 Pages: 126-139

    • DOI

      10.14945/0002000277

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/2000277

    • Year and Date
      2024-03-11
    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Teaching the Ratio focus on the Relation between Ratio and Proportion2023

    • Author(s)
      熊倉啓之・國宗進・松元新一郎
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 33 Pages: 101-108

    • DOI

      10.14945/00029428

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/14535

    • Year and Date
      2023-03-10
    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] The Study of Ratio’s Understanding of Elementary Students2022

    • Author(s)
      熊倉啓之・國宗進・松元新一郎・早川健・近藤裕
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 32 Pages: 127-134

    • DOI

      10.14945/00028698

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/13788

    • Year and Date
      2022-03-31
    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Teaching to Develop Understanding of Ratio in Primary School Through Lesson of Ratio at Sixth Form2022

    • Author(s)
      平等正基・熊倉啓之
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 32 Pages: 303-310

    • DOI

      10.14945/00028719

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/13809

    • Year and Date
      2022-03-31
    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Teaching of Percent using “PP Problem” materials to 3rd Grade at Junior High School Students2022

    • Author(s)
      杉山智子・熊倉啓之
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 46 Issue: 0 Pages: 413-416

    • DOI

      10.14935/jssep.46.0_413

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2022 Research-status Report
    • Open Access
  • [Journal Article] The feature of ratio teaching in Japan through the previous foreign studies2021

    • Author(s)
      熊倉啓之・國宗進・松元新一郎
    • Journal Title

      静岡大学教育実践総合センター紀要

      Volume: 31 Pages: 117-126

    • DOI

      10.14945/00027910

    • NAID

      120006979170

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/12982

    • Year and Date
      2021-03-25
    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Teaching of Percent in the Units of Ratio to 6th Grade Elementary School Students2021

    • Author(s)
      平等正基・熊倉啓之
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 45 Issue: 0 Pages: 393-396

    • DOI

      10.14935/jssep.45.0_393

    • NAID

      130008131628

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2021 Research-status Report
    • Open Access
  • [Journal Article] An Analysis of Study about Ratio’s Teaching in Foreign Countries2020

    • Author(s)
      熊倉啓之
    • Journal Title

      Proceedings of the Annual Meeting of Japan Society for Science Education

      Volume: 44 Issue: 0 Pages: 307-310

    • DOI

      10.14935/jssep.44.0_307

    • NAID

      130007945511

    • ISSN
      0913-4476, 2186-3628, 2433-2925
    • Related Report
      2020 Research-status Report
    • Open Access
  • [Presentation] 小中高を一貫する割合指導の体系的カリキュラムの開発2023

    • Author(s)
      熊倉啓之・國宗進・松元新一郎
    • Organizer
      日本科学教育学会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 中学校数学科における割合の理解を深める学習指導-方程式の利用場面に焦点を当てて-2023

    • Author(s)
      平等正基・熊倉啓之・國宗進
    • Organizer
      日本数学教育学会
    • Related Report
      2023 Annual Research Report
  • [Presentation] 割合と比の関係に関する考察2022

    • Author(s)
      熊倉啓之・國宗進・松元新一郎
    • Organizer
      日本数学教育学会第55回秋期研究大会
    • Related Report
      2022 Research-status Report
  • [Presentation] 割合の理解の特徴と割合指導の在り方2022

    • Author(s)
      熊倉啓之
    • Organizer
      2022年度数学教育学会秋季例会
    • Related Report
      2022 Research-status Report
  • [Presentation] 小学生の割合の理解に関する調査研究2021

    • Author(s)
      熊倉啓之・國宗進・松元新一郎・早川健・近藤裕
    • Organizer
      日本数学教育学会
    • Related Report
      2021 Research-status Report
  • [Presentation] 教科書・先行研究からみた日本の割合指導の特徴2020

    • Author(s)
      熊倉啓之・國宗進・松元新一郎
    • Organizer
      日本数学教育学会
    • Related Report
      2020 Research-status Report

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Published: 2020-04-28   Modified: 2025-01-30  

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