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2011 Fiscal Year Final Research Report

Developing Websites of Explorative Learning for Space Geometry with Three Dimensional Dynamic Geometry Software

Research Project

  • PDF
Project/Area Number 20330181
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Education on school subjects and activities
Research InstitutionShinshu University

Principal Investigator

IWANAGA Yasuo  信州大学, 教育学部, 教授 (80015825)

Co-Investigator(Kenkyū-buntansha) ITO Takehiro  信州大学, 教育学部, 教授 (00015827)
MIYAZAKI Mikio  信州大学, 教育学部, 教授 (10261760)
CHINO Kimiho  信州大学, 教育学部, 准教授 (20400658)
KOMATSU Kotaro  信州大学, 教育学部, 准教授 (40578267)
KON Mayuko  信州大学, 教育学部, 准教授 (70507186)
Research Collaborator ARAI Hitoshi  国立教育政策研究所, 調査官 (40641543)
OGIHARA Fumihiro  佐久長聖高等学校, 教諭
OGUCHI Yuichi  茨城大学, 教育学部, 教授 (70405877)
KATO Ryuhei  国立教育政策研究所, 調査官 (10618648)
KITAJIMA Shigeki  筑波大学, 附属中学校, 教諭
BABA Naoki  長野県伊那市立春富中学校, 教諭
YUMOTO Takeshi  長野県松本市立開成中学校, 教諭
Project Period (FY) 2008 – 2011
Keywords3次元動的幾何ソフト / 空間図形 / 探究的な学習 / Webサイト
Research Abstract

This study developed the website of explorative learning for spatial geometry with three dimensional geometry software in order to improve the learning of spatial geometry in mathematics education. Tis site consists of the following two parts ; ELesson Recipe(Lesson designs based on the courses of explorative learning), Enjoy Mathematics in 3D(Groups of digital contents for guidance based on the lesson designs).

  • Research Products

    (25 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (11 results) Book (3 results) Remarks (1 results)

  • [Journal Article] Potentials for Spatial Geometry Curriculum Development with Three-Dimensional Dynamic Geometry Software in Lower Secondary Mathematics2012

    • Author(s)
      Miyazaki, M., Kimiho, C., Katoh, R., Arai, H., Ogihara, F., Oguchi, Y., Morozumi, T., Kon, M., and Komatsu, K
    • Journal Title

      The International Journal for Technology in Mathematics Education

      Volume: 19(2)(in press)

    • Peer Reviewed
  • [Journal Article] Supporting students to overcome circular arguments in secondary school mathematics : the use of the flowchart proof learning platform2011

    • Author(s)
      Fujita, T., Jones, K. and Miyazaki, M
    • Journal Title

      Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education

      Volume: Vol.2 Pages: 353-360

    • Peer Reviewed
  • [Journal Article] Semi-parallel CR submanifolds in a complex space form2011

    • Author(s)
      Kon, M
    • Journal Title

      Colloquium Mathematicum

      Volume: 124, no.2 Pages: 237-246

    • Peer Reviewed
  • [Journal Article] The Tanaka-Webster connection and real hypersurfaces in a complex space form2011

    • Author(s)
      Cho, J. T., Kon, M
    • Journal Title

      Kodai Mathematical Journal

      Volume: 34, no.3 Pages: 474-484

    • Peer Reviewed
  • [Journal Article] ラカトシュの可謬主義から見た数学的探究とその教育的意義2011

    • Author(s)
      小松孝太郎
    • Journal Title

      科学教育研究

      Volume: 第35巻第3号 Pages: 272-286

    • Peer Reviewed
  • [Journal Article] How do students generalize a conjecture through proving?: The importance of boundary cases between example and counterexample2011

    • Author(s)
      Komatsu, K
    • Journal Title

      Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education

      Volume: Vol.3 Pages: 89-96

    • Peer Reviewed
  • [Journal Article] Compact minimal CR submanifolds of a complex projective space with positive Ricci curvature2010

    • Author(s)
      昆万佑子
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 33 Pages: 415-434

    • Peer Reviewed
  • [Journal Article] A minimal real hypersurface of a complex projective space with non-negative sectional curvature2010

    • Author(s)
      昆万佑子
    • Journal Title

      Bulletin of the Australian Mathematical Society

      Volume: 81 Pages: 488-492

    • Peer Reviewed
  • [Journal Article] 数学的探究におけるaction proofの活用の促進:事例研究を通して2010

    • Author(s)
      小松孝太郎
    • Journal Title

      日本数学教育学会誌

      Volume: 91巻 Pages: 3-29

    • Peer Reviewed
  • [Journal Article] Cognitive Incoherence of Students Regarding the Establishment of Universality of Propositions through Experimentation/Measurement2008

    • Author(s)
      Miyazaki, M
    • Journal Title

      International Journal of Science and Mathematics Education

      Volume: 6(3) Pages: 533-558

    • Peer Reviewed
  • [Presentation] On 3-dimensional compact real hypersurfaces of a complex space form2011

    • Author(s)
      Kon, M
    • Organizer
      The 15-th International Workshop on Differential Geometry
    • Place of Presentation
      Korea
    • Year and Date
      20111102-05
  • [Presentation] 複素空間形の実部分多様体について2011

    • Author(s)
      昆万佑子
    • Organizer
      第5回札幌・福岡幾何学セミナー
    • Place of Presentation
      北海道
    • Year and Date
      20110221-22
  • [Presentation] Supporting students to overcome circular arguments in secondary school mathematics : the use of the flowchart proof learning platform2011

    • Author(s)
      Fujita, T., Jones, K. and Miyazaki, M
    • Organizer
      the 35th Conference of the International Group for the Psychology of Mathematics Education
    • Place of Presentation
      Ankara, Turkey : Middle East Technical University
    • Year and Date
      2011-07-14
  • [Presentation] How do students generalize a conjecture through proving?: The importance of boundary cases between example and counterexample2011

    • Author(s)
      Komatsu, K
    • Organizer
      The 35th Conference of the International Group for the Psychology of Mathematics Education
    • Place of Presentation
      Ankara, Turkey : Middle East Technical University
    • Year and Date
      2011-07-14
  • [Presentation] 学校数学における証明の基礎的学習に関する研究:証明の構造に基づく関係的な学習に必要な活動に着目して2010

    • Author(s)
      宮崎樹夫
    • Organizer
      日本数学教育学会第43回数学教育論文発表会
    • Place of Presentation
      宮崎
    • Year and Date
      20101113-14
  • [Presentation] Students understanding of the structure of proof : Why do students accept a proof with logical circularity?2010

    • Author(s)
      Miyazaki, M., Fujita, T
    • Organizer
      The 5th East Asia Regional Conference on Mathematics Education
    • Place of Presentation
      Tokyo
    • Year and Date
      20100818-22
  • [Presentation] An assessment framework for students abilities/competencies in proving2010

    • Author(s)
      Chino, K., Komatsu, K., Miyazaki, M., et al
    • Organizer
      The 5th East Asia Regional Conference on Mathematics Education
    • Place of Presentation
      Tokyo
    • Year and Date
      20100818-22
  • [Presentation] 学校数学での理由の説明・証明を捉える枠組み2010

    • Author(s)
      茅野公穗
    • Organizer
      日本科学教育学会第34回年会
    • Place of Presentation
      広島
    • Year and Date
      2010-09-11
  • [Presentation] 我が国の数学教育における証明研究の課題と展望2009

    • Author(s)
      宮崎樹夫,茅野穂,小松孝太郎, 他
    • Organizer
      日本数学教育学会第42回数学教育論文発表会
    • Place of Presentation
      静岡
    • Year and Date
      20091107-08
  • [Presentation] Teaching and learning a proof as an object2009

    • Author(s)
      Miyazaki, M., Yumoto, T.
    • Organizer
      The 19th the International Commission on Mathematical Instruction, ICMI Study 19 Conference, Proof and proving in mathematics education
    • Place of Presentation
      Taiwan
    • Year and Date
      20090510-15
  • [Presentation] カリキュラムにおける証明の居場所を捉える枠組み2009

    • Author(s)
      茅野公穂
    • Organizer
      日本科学教育学会第33回年会
    • Place of Presentation
      京都
    • Year and Date
      2009-08-25
  • [Book] The first sourcebook on Asian research in mathematics education.2012

    • Author(s)
      Miyazaki, M. & Fujita, T
    • Publisher
      Information Age Publishing
  • [Book] 数学の学習論・学習者論,大高泉・清水美憲(編著),『教科教育の理論と授業:数理編(新教職教育講座シリーズ第6巻)』(第I部第5章)2012

    • Author(s)
      小松孝太郎
    • Total Pages
      71-84
    • Publisher
      協同出版
  • [Book] 図形の概念と操作、『算数科教育研究』(第4章第1節)2010

    • Author(s)
      宮崎樹夫, 他
    • Total Pages
      41-49
    • Publisher
      学芸図書出版
  • [Remarks]

    • URL

      http://www.schoolmath.jp/3dcontent/index.html

URL: 

Published: 2013-07-31  

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