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Developing mathematical competency through inquiry-based and cross-curricular problem-based learning through high school-university collaboration

Research Project

Project/Area Number 20H01741
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 09080:Science education-related
Research InstitutionKanazawa University

Principal Investigator

OTANI MINORU  金沢大学, 学校教育系, 教授 (50241758)

Co-Investigator(Kenkyū-buntansha) 伊藤 伸也  金沢大学, 学校教育系, 准教授 (10570434)
Project Period (FY) 2020-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2022: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2021: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2020: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywords高大連携 / 探究 / 教科横断 / 課題学習 / 数理コンピテンシー / 探究的学習 / 教科横断的学習
Outline of Research at the Start

高校教育は,高大接続改革や新学習指導要領改訂など大きな質的変革期にある.本研究は,探究の過程を通して課題を解決するために必要な数理コンピテンシーを,高校と大学の教員が連携して育成する「課題学習システム」を構築することを目的とし,次の3点を達成する.
① 総合的な探究の時間において,SGDsを意識したチームで協働して取り組む課題学習のモジュールを開発し実践する.
② 数学や理数探究の教科の授業において,他教科と連携した教科横断的な課題学習を開発し実践する.
③ 課外活動において「数理チャレンジクラブ」を組織し,日常や社会生活の事象を数理的な視点で考察する課題を開発し生徒による自主ゼミナールを組織する.

Outline of Final Research Achievements

This study established a “problem-based learning system” in which high school and university teachers collaborate to develop the mathematical competencies necessary to solve problems through the process of inquiry. Specifically, 1) Lesson Study were conducted in high school subjects and in general inquiry hours, and the lesson practice of “Spread of Infectious Diseases” was presented at an international conference and published as a book. (2) We prepared “Developing the Ability to Use Mathematics in the Everyday World and Social Events” (upper secondary school) and distributed it to schools that requested it, and (3) Kanazawa University led the Japan Mathematics A-lympiad Contest, sending the best and two excellent teams from 72 teams to the international finals, where they won first and fourth places in the world. The teams won the first and fourth prizes in the world.

Academic Significance and Societal Importance of the Research Achievements

グローバル化の進展や人工知能などの技術革新のもとで,社会が急速に変化し予測困難な時代が到来する中で,一人ひとりが持続可能な社会の担い手として,新たな価値を生み出していく資質・能力の育成が喫緊の課題である.高等学校でも探究的な活動や教科横断的な視点で教育内容を組み立てることは,各学校に委ねられている.本研究は,今日の喫緊の課題である,探究の過程を通して課題を解決するために必要な数理コンピテンシーを,高校と大学の教員が連携して育成する「課題学習システム」を構築することで,授業モデルを示し,課題集を作成し,全国の高校生に新しい高大連携コンテストを実施する点で,学術的かる社会的な意義を有する.

Report

(4 results)
  • 2023 Final Research Report ( PDF )
  • 2022 Annual Research Report
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • Research Products

    (21 results)

All 2024 2023 2022 2021 2020 Other

All Int'l Joint Research (2 results) Journal Article (9 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (8 results) (of which Int'l Joint Research: 7 results) Book (1 results) Remarks (1 results)

  • [Int'l Joint Research] Utreecht University/Freudenthal Institute/CITO(オランダ)

    • Related Report
      2022 Annual Research Report
  • [Int'l Joint Research] Freudenthal Institute/Utrecht University(オランダ)

    • Related Report
      2020 Annual Research Report
  • [Journal Article] Development of STEM education in KUSH: Task design for inquiry-based learning through Lesson Study.2024

    • Author(s)
      Minoru Ohtani
    • Journal Title

      Open Schooling for Sustainability Education.

      Volume: 11 Pages: 78-83

    • DOI

      10.37626/ga9783959872744.0

    • ISBN
      9783959873048
    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 学校数学におけるProject-Baset Learningの開発: 科学教育論から数学教育論への翻案2024

    • Author(s)
      大谷実、川谷内哲二
    • Journal Title

      金沢大学人間社会研究域学校教育系紀要

      Volume: 16 Pages: 113-120

    • Related Report
      2022 Annual Research Report
  • [Journal Article] 数学科2023

    • Author(s)
      原田祥平・戸水吉信・北村悟朗・伊藤伸也
    • Journal Title

      金沢大学附属中学校研究紀要

      Volume: 65 Pages: 65-75

    • NAID

      120006487044

    • Related Report
      2020 Annual Research Report
  • [Journal Article] 数学科2022

    • Author(s)
      戸水吉信,北村悟朗,原田祥平,伊藤伸也
    • Journal Title

      金沢大学附属中学校研究紀要

      Volume: 64 Pages: 57-66

    • NAID

      120006487044

    • Related Report
      2021 Annual Research Report
  • [Journal Article] 「自らの学習を調整しようとする側面」の評価のポイント2022

    • Author(s)
      大谷実
    • Journal Title

      育科学数学教育

      Volume: 777 Pages: 29-37

    • Related Report
      2020 Annual Research Report
  • [Journal Article] 高等学校数学科における課題探究的な授業のデザイン:感染症課題を事例として2022

    • Author(s)
      大谷実・酒井祐士
    • Journal Title

      金沢大学学校教育系紀要

      Volume: 15 Pages: 29-37

    • Related Report
      2020 Annual Research Report
  • [Journal Article] SDGsに協働的に取り組むコンテストの教材化2022

    • Author(s)
      川谷内哲二・大谷実・端崎圭一
    • Journal Title

      金沢大学学校教育系紀要

      Volume: 15 Pages: 21-27

    • Related Report
      2020 Annual Research Report
  • [Journal Article] 小学校算数科における割合指導-「変化と関係領域」における「単位量当たりの大きさ」の新しい位置づけ2021

    • Author(s)
      中村雅恵・大谷 実
    • Journal Title

      金沢大学学校教育系紀要

      Volume: 14 Pages: 21-30

    • NAID

      120007035073

    • Related Report
      2020 Annual Research Report
  • [Journal Article] 高校数学における探究的・協働的で教科横断的な学び-RMEアプローチへの金沢大学附属高校の取り組み-2020

    • Author(s)
      川谷内哲二・戸田偉・酒井祐士・外山康平・大谷実・伊藤伸也
    • Journal Title

      日本数学教育学会誌数学教育

      Volume: 102 Pages: 12-23

    • NAID

      130007993583

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Participation Rights and Politics of Representations in Sociomathematical Activity2023

    • Author(s)
      Minoru Ohtani
    • Organizer
      2023 Annual Conference of the International Society for the Design and Development of Educationtion
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Development of STEAM education at KUSH2022

    • Author(s)
      Minoru Ohtani
    • Organizer
      International Sociaty for Design and Development of Education
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Task design and analysis2021

    • Author(s)
      Ohtani Minoru
    • Organizer
      14th Internatuonal Conference of Mathematics Education
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 高等学校数学科における課題探究的な授業のデザイン:感染症課題を事例として2021

    • Author(s)
      大谷 実
    • Organizer
      日本数学教育学会第54回秋期研究大会
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Математическое образование в Российской Федерации2021

    • Author(s)
      Отани Минору
    • Organizer
      КОНФЕРЕНЦИЯ ПАМЯТИ АНАТОЛИЯ ПИНСКОГО (1956-2006) «НОВАЯ ШКОЛА» – 20 ЛЕТ СПУСТЯ
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Collaborative Design of Learning Environment that Fosters Reification of a Mathematical Object: The Case of Function2021

    • Author(s)
      Minoru Ohtani
    • Organizer
      ICME Study 25: Teachers of Mathematics Working and Learning in Collaborative Groups
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Task design and analysis2021

    • Author(s)
      Minoru Ohtani
    • Organizer
      14th International Conference of Mathematics Education
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 高等学校数学科における課題探究的な授業のデザイン:感染症課題を事例として2021

    • Author(s)
      大谷 実
    • Organizer
      日本数学教育学会第54回秋期研究大会
    • Related Report
      2020 Annual Research Report
  • [Book] 中等数学科教育2021

    • Author(s)
      礒田正美,影山和也
    • Total Pages
      201
    • Publisher
      共同出版
    • Related Report
      2021 Annual Research Report
  • [Remarks] 日本数学A-lympiad

    • URL

      https://www.kanazawa-u.ac.jp/admission/teacher/a_lympiad

    • Related Report
      2020 Annual Research Report

URL: 

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

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