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Development of teacher training programs focused on "knowledge and skills for mathematical thinking"

Research Project

Project/Area Number 26350231
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Science education
Research InstitutionShinshu University

Principal Investigator

ITOH Takehiro  信州大学, 教育学部, 名誉教授 (00015827)

Co-Investigator(Kenkyū-buntansha) 茅野 公穗  信州大学, 学術研究院教育学系, 教授 (20400658)
松澤 泰道  信州大学, 学術研究院教育学系, 助教 (60645620)
昆 万佑子  信州大学, 学術研究院教育学系, 准教授 (70507186)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords数学的に考える力 / 教員養成
Outline of Final Research Achievements

The purpose of this research is to develop a teacher training program focused on "knowledge and skills for mathematical thinking". To achieve this objective, we developed and implemented provisional programs, identified the improvement points of the programs, and reflected them in the programs. As results of this research, three secondary school mathematics teacher training programs and two elementary school teacher training programs were developed to make it possible to deepen "knowledge and skills for mathematical thinking" through problem solving.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (24 results)

All 2017 2016 2015 2014

All Journal Article (12 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 8 results,  Acknowledgement Compliant: 4 results,  Open Access: 1 results) Presentation (11 results) (of which Int'l Joint Research: 2 results,  Invited: 1 results) Book (1 results)

  • [Journal Article] 3-dimensional real hypersurfaces with η-harmonic curvature2017

    • Author(s)
      Mayuko Kon
    • Journal Title

      The 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Ricci tensor of real hypersurfaces2016

    • Author(s)
      Mayuko Kon
    • Journal Title

      Pacific Journal of Mathematics

      Volume: 281 Issue: 1 Pages: 103-123

    • DOI

      10.2140/pjm.2016.281.103

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-Hopf hypersurfaces in 2-dimensional complex space forms2016

    • Author(s)
      Mayuko Kon
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 39(2) Pages: 373-387

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 課題探究として証明することのカリキュラム開発: 領域「図形」のカリキュラム開発枠組みの精緻化2016

    • Author(s)
      茅野公穂,宮川健
    • Journal Title

      日本数学教育学会 第4回春期研究大会論文集

      Volume: - Pages: 163-166

    • NAID

      120007100343

    • Related Report
      2016 Annual Research Report
    • Acknowledgement Compliant
  • [Journal Article] Developing a Curriculum for Explorative Proving in Lower Secondary School Geometry2016

    • Author(s)
      Miyazaki, M., Nagata, J., Chino, K., Fujita, T. Ichikawa D., Shimizu, S, & Iwanaga Y.
    • Journal Title

      Proceedings of the 13th International Congress on Mathematical Education

      Volume: -

    • NAID

      120007100962

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] 課題探究として証明することのカリキュラム開発: 領域「数と式」,「図形」の カリキュラム開発枠組みの精緻化2015

    • Author(s)
      茅野公穂,佐々祐之,宮﨑樹夫,宮川健,中川裕之,岩永恭雄,松岡樂
    • Journal Title

      日本数学教育学会 第3回春期研究大会論文集

      Volume: . Pages: 7-12

    • NAID

      120007100515

    • Related Report
      2015 Research-status Report
    • Acknowledgement Compliant
  • [Journal Article] Real hypersurfaces in a 2-dimensional complex space form with transversal Killing tensor field2015

    • Author(s)
      Mayuko Kon
    • Journal Title

      Proceedings of the 19th International Workshop on Hermitian-Grassmannian Submanifolds

      Volume: 19 Pages: 159-170

    • Related Report
      2015 Research-status Report
  • [Journal Article] The Weyl-von Neumann Theorem and Borel Complexity of Unitary Equivalence Modulo Compacts of Self-Adjoint Operators2015

    • Author(s)
      Hiroshi ANDO and Yasumichi MATSUZAWA
    • Journal Title

      The Royal Society of Edinburgh Proceedings A (Mathematics)

      Volume: 145 Issue: 6 Pages: 1115-1144

    • DOI

      10.1017/s0308210515000293

    • NAID

      120006459742

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] On Borel equivalence relations related to self-adjoint operators2015

    • Author(s)
      Hiroshi ANDO and Yasumichi MATSUZAWA
    • Journal Title

      Journal of Operator Theory

      Volume: 74 Issue: 1 Pages: 183-194

    • DOI

      10.7900/jot.2014may24.2030

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 3-dimensional real hypersurfaces and Ricci operator2014

    • Author(s)
      Mayuko Kon
    • Journal Title

      Differential Geometry-Dynamical Systems

      Volume: 16 Pages: 189-202

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] 「基本的な作図」において課題探究として証明することの授業化2014

    • Author(s)
      茅野公穂,嶋田和美,荻原啓一
    • Journal Title

      日本数学教育学会誌 数学教育

      Volume: 96(9) Pages: 10-13

    • NAID

      110009857079

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 中学校数学における課題探究として証明することのカリキュラム開発:進行状況と授業化の意味・役割2014

    • Author(s)
      宮﨑樹夫,永田潤一郎,茅野公穂
    • Journal Title

      日本数学教育学会誌 数学教育

      Volume: 96(9) Pages: 2-5

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] Groups of unitaries without property (FH)2017

    • Author(s)
      松澤泰道
    • Organizer
      日本数学会
    • Place of Presentation
      首都大学東京
    • Year and Date
      2017-03-26
    • Related Report
      2016 Annual Research Report
  • [Presentation] 3-dimensional real hypersurfaces with η-harmonic curvature2016

    • Author(s)
      昆万佑子
    • Organizer
      The 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds
    • Place of Presentation
      Kyungpook National University (Korea)
    • Year and Date
      2016-07-29
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Real hypersurfaces in a 2-dimensional complex space form with transversal Killing tensor fields2015

    • Author(s)
      Mayuko Kon
    • Organizer
      The 19th International Workshop on Hermitian-Grassmannian Submanifolds and Its Applications
    • Place of Presentation
      NIMS, Daejeon, South Korea
    • Year and Date
      2015-10-27
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 無限次元群の話2015

    • Author(s)
      松澤泰道
    • Organizer
      作用素論作用素環論研究集会
    • Place of Presentation
      KKR妙高高原白樺荘(新潟県妙高市)
    • Year and Date
      2015-10-25
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 中学校数学における課題探究として証明することの授業化: 第1学年の小単元「基本的な作図」2015

    • Author(s)
      茅野公穂, 清水あかね
    • Organizer
      日本科学教育学会 第39回年会
    • Place of Presentation
      山形大学
    • Year and Date
      2015-08-23
    • Related Report
      2015 Research-status Report
  • [Presentation] Weyl-von Neumann同値関係の複雑さ2015

    • Author(s)
      松澤泰道
    • Organizer
      日本数学会年会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-22
    • Related Report
      2014 Research-status Report
  • [Presentation] Shape operator of real hypersurfaces in a 2-dimensional complex space form2015

    • Author(s)
      Mayuko Kon
    • Organizer
      The 9th OCAMI-KNUHGRG Joint Differential Geometry Workshop on Submanifold Geometry and Lie Theory
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2015-02-13
    • Related Report
      2014 Research-status Report
  • [Presentation] 量子力学に於ける時間作用素について2014

    • Author(s)
      松澤泰道
    • Organizer
      Nagahama Workshop "From Quantum to Life"
    • Place of Presentation
      長浜バイオ大学
    • Year and Date
      2014-11-15
    • Related Report
      2014 Research-status Report
  • [Presentation] Weyl-von Neumannの定理の複雑さ2014

    • Author(s)
      松澤泰道
    • Organizer
      量子場の数理とその周辺(RIMS研究集会)
    • Place of Presentation
      京都大学
    • Year and Date
      2014-10-06
    • Related Report
      2014 Research-status Report
  • [Presentation] Hilbert-Schmidt群のFock空間上での表現2014

    • Author(s)
      松澤泰道
    • Organizer
      札幌数理物理研究集会
    • Place of Presentation
      北海道大学
    • Year and Date
      2014-09-01
    • Related Report
      2014 Research-status Report
  • [Presentation] 中学校図形領域における課題探究として証明することの授業化: 第1学年の内容「基本的な作図」と「空間図形」2014

    • Author(s)
      茅野公穂,嶋田和美,荻原啓一
    • Organizer
      日本数学教育学会 第2回春期研究大会
    • Place of Presentation
      東京学芸大学
    • Year and Date
      2014-06-29
    • Related Report
      2014 Research-status Report
  • [Book] History of lesson study to develop good practice in Japan. In M. Inprasitha, M. Isoda, B.-H. Yeap, & P. Wang-Iverson (Eds.), Lesson Study: Challenges in Mathematics Education2015

    • Author(s)
      Shimizu, S. & Chino, K.
    • Total Pages
      392
    • Publisher
      World Scientific
    • Related Report
      2015 Research-status Report

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Published: 2014-04-04   Modified: 2018-03-22  

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