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E-learning material for lectures on geometry for teacher education in University

Research Project

Project/Area Number 18K02568
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 InstitutionShinshu University

Principal Investigator

KON MAYUKO  信州大学, 学術研究院教育学系, 准教授 (70507186)

Project Period (FY) 2018-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2020: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywordseラーニング / 動的幾何学ソフトウェア / GeoGebra / 幾何学 / 大学教育 / 教員養成
Outline of Final Research Achievements

We developed self e-learning materials for geometrical subjects in Faculty or department related to teacher training. The created contents include teaching materials closely related to the educational guideline of elementary and junior high schools and advanced contents such as spherical geometry and hyperbolic geometry. They are posted on the e-Advanced Learning Platform of Shinshu University.
We are creating comprehensive learning materials that covers geometrical subjects in elementary and junior high school educational guideline, and making a packaged version. We also created some teaching materials by the dynamic mathematics software GeoGebra, and used in various classes.
As a research related to differential geometry, which is one of a specialized subject, we studied the Ricci tensor of real hypersurfaces in complex spaces.

Academic Significance and Societal Importance of the Research Achievements

教員養成において,教科に関する専門的理解は必須であり,科目としての一貫性を持った教材の開発は,学生の学力向上に有用である。本研究では,数学専門科目のeラーニング教材を作成,教員養成学部における数学専門科目の自主学習教材として,小中高の算数・数学の指導要領と,大学の数学専門科目で取り扱う内容との関係に着目した教材開発を行っている。
開発した教材を,算数・数学科教員養成系大学において導入することで,数学専門科目の学習時間の不足を補い,学生の資質・学力向上に寄与することが出来る。また,数学的な考え方の深い理解にもつながり,将来的な教員の資質向上にも寄与する。

Report

(4 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (7 results)

All 2020 2019 2018

All Journal Article (6 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 4 results,  Open Access: 2 results) Presentation (1 results)

  • [Journal Article] 身の回りの幾何学に係る教材開発へのGeoGebraの活用2020

    • Author(s)
      昆万佑子
    • Journal Title

      信州大学教育学部附属次世代型学び研究開発センター紀要『教育実践研究』

      Volume: 19 Pages: 131-140

    • Related Report
      2020 Annual Research Report
  • [Journal Article] 3-dimensional real hypersurfaces with transversal η-Killing Ricci tensor field of a complex space form2020

    • Author(s)
      Mayuko Kon
    • Journal Title

      Tsukuba Journal of Mathematics

      Volume: 44 Pages: 203-211

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Chen Inequalities for Statistical Submanifolds of Kahler-Like Statistical Manifolds2019

    • Author(s)
      Hulya Aytimur , Mayuko Kon , Adela Mihai, Cihan Ozgur, Kazuhiko
    • Journal Title

      Mathematics

      Volume: 7 Issue: 12 Pages: 1202-1202

    • DOI

      10.3390/math7121202

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] 曲線・曲面論の講義における動的数学ソフトウェアGeoGebraの活用2019

    • Author(s)
      昆万佑子
    • Journal Title

      信州大学教育学部附属次世代型学び研究開発センター紀要『教育実践研究』

      Volume: 18 Pages: 49-58

    • NAID

      120007099681

    • Related Report
      2019 Research-status Report
    • Open Access
  • [Journal Article] On pseudo-Einstein real hypersurfaces2019

    • Author(s)
      Mayuko Kon
    • Journal Title

      Advances in Geometry

      Volume: -

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Ricci tensor of Hopf hypersurfaces in a complex space form2018

    • Author(s)
      Mayuko Kon
    • Journal Title

      International Electronic Journal of Geometry

      Volume: 11 Pages: 1-7

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] 曲線・曲面論の講義におけるGeoGebraの活用2019

    • Author(s)
      昆万佑子
    • Organizer
      2019年度統計数理研究所共同研究集会「動的幾何学ソフトウェアGeoGebraの整備と普及」
    • Related Report
      2019 Research-status Report

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Published: 2018-04-23   Modified: 2022-01-27  

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