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The development of curriculum to acquire application competency of ratio at secondary school level

Research Project

Project/Area Number 17K04766
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 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)
早川 健  山梨大学, 大学院総合研究部, 教授 (40585387)
近藤 裕  奈良教育大学, 数学教育講座, 教授 (80551035)
Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords数学教育 / 割合 / フィンランド / カリキュラム / 割合指導 / フィンランドの問題
Outline of Final Research Achievements

Purpose of this study is to pursue teaching for understanding and applying the ratio at secondary school level and to get suggestions about development of ratio's curriculum. We clarified as follows.
(1) "P/P type" and "%-point" are taught in Finland at secondary school, but there are not taught in Japan, (2) Japanese secondary school students don't acquire application competency of ratio, (3) university students who will be primary school teacher in the future acquire application competency of ratio compared to secondary school students, but some parts are not well understood, (4) we practiced some lessons for acquiring application competency of ratio at secondary school and got suggestions about development of ratio's curriculum.

Academic Significance and Societal Importance of the Research Achievements

本研究成果の学術的・社会的意義は,次の2点にある。
①小学校算数科で学んでいる「割合」の理解や活用力に関して,中学生・高校生・大学生(小学校教員を目指す)を対象にそれぞれ1000人を超える調査を実施し,割合の理解や活用力が必ずしも十分でない実態を,データをもとに明らかにしたこと。
②中学校・高等学校数学科において,割合に関わる実験授業を複数回行い,それぞれの授業を通して,割合の理解を深め活用力を高める指導の在り方について,有益な示唆を得ることができたこと。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (7 results)

All 2020 2019 2018 Other

All Int'l Joint Research (1 results) Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 2 results) Presentation (4 results)

  • [Int'l Joint Research] タンペレ大学(フィンランド)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Study of Teaching of Ratio in Junior and Senior High School2020

    • 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: 30 Pages: 49-58

    • DOI

      10.14945/00027105

    • NAID

      120006808678

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/12147

    • Year and Date
      2020-03-31
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Research about Ratio’s Understanding of Junior and Senior High School Students2019

    • 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: 29 Pages: 80-89

    • DOI

      10.14945/00026356

    • NAID

      120006594593

    • ISSN
      13480707
    • URL

      https://shizuoka.repo.nii.ac.jp/records/11388

    • Year and Date
      2019-03-27
    • Related Report
      2019 Annual Research Report 2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] フィンランドの小学校・中学校・高等学校における割合指導の分析2019

    • Author(s)
      熊倉啓之
    • Organizer
      日本科学教育学会第43回年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 中学校・高等学校数学科における割合指導の必要性と可能性2019

    • Author(s)
      熊倉啓之・國宗進・松元新一郎
    • 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] 中学生の割合の理解の様相に関する研究2018

    • Author(s)
      熊倉啓之・國宗進・松元新一郎・早川健
    • Organizer
      第42回日本科学教育学会年会
    • Related Report
      2018 Research-status Report
  • [Presentation] 中学生・高校生の割合の理解に関する研究2018

    • Author(s)
      熊倉啓之・國宗進・松元新一郎・早川健
    • Organizer
      第51回日本数学教育学会秋期研究大会
    • Related Report
      2018 Research-status Report

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Published: 2017-04-28   Modified: 2021-02-19  

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