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2005 Fiscal Year Final Research Report Summary

A Study on the teaching and curriculum development focused on mathematical modelling

Research Project

Project/Area Number 15500577
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Science education
Research InstitutionYokohama National University

Principal Investigator

IKEDA Toshikazu  Yokohama National University, Faculty of Education and Human Sciences, Associate Professor, 教育人間科学部, 助教授 (70212777)

Project Period (FY) 2003 – 2005
KeywordsMathematical Modelling / teaching methods / Discussion / opposing opinions
Research Abstract

Group discussion has been shown to be particularly effective for students to derive ideas that promote modelling (Ikeda and Stephens, 2001). The teacher needs to allow students enough time to develop their own thinking through individual problem solving or small group discussion. In whole class discussion, the teacher can then help clarify shared opinions and different opinions from among students, in particular by drawing attention to conflicting opinions among students. This has been shown to be valuable in assisting students to re-evaluate their own ideas or to challenge ideas from other students. The teacher's role was to help students identify the issues that need to be discussed, drawing on conflicting or opposing opinions among students, not telling students the correct answer. When the teacher was unable at first to point to opposing opinions among small students, it was necessary for the teacher to probe students' thinking further so that conflicting or opposing ideas were exposed more clearly.

  • Research Products

    (16 results)

All 2005 2004 2003

All Journal Article (16 results)

  • [Journal Article] 数学的モデリング・応用と数学的概念の獲得の関連性を考慮に入れた中等数学科の指導内容系列の検討2005

    • Author(s)
      池田 敏和
    • Journal Title

      第38回数学教育論文発表会論文集

      Pages: 67-72

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] The role and the relevance of applications and modelling in Japan and Germany - a comparative study2005

    • Author(s)
      Ikeda, Toshikazu, Gabriele Kaiser
    • Journal Title

      The 3^<rd> Asia Regional Conference on Mathematics Education, In Paper CD, sym201

      Pages: 1-6

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] モデリング・応用の指導の数学教育上の位置づけ2005

    • Author(s)
      池田 敏和
    • Journal Title

      2005年度数学教育学会夏季研究会発表論文集

      Pages: 30-32

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 数学的モデリングの授業、どこが難しいのか-授業構想における着眼点の検討-2005

    • Author(s)
      池田 敏和
    • Journal Title

      第29回日本科学教育学会年会論文集

      Pages: 191-194

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Analysis of contents sequences through taking account of the relevance between modeling and acquisition of mathematics concepts in secondary mathematics2005

    • Author(s)
      Ikeda, Toshikazu
    • Journal Title

      Proceedings of paper presented in mathematics education(Japan Society of Mathematics Education) Vol.38

      Pages: 67-72

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] The role and the relevance of applications and modeling in Japan and Germany-a comparative study2005

    • Author(s)
      Ikeda, Toshikazu, Gabriele Kaiser
    • Journal Title

      The 3^<rd> Asia Regional Conference on Mathematics Education sym201(In Papers CD)

      Pages: 1-6

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Modeling and Applications in Mathematics Education2005

    • Author(s)
      Ikeda, Toshikazu
    • Journal Title

      Proceedings of paper presented in 2005 summer conference of Society of mathematics education

      Pages: 30-32

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] What are difficulties in a teaching of modeling? -Considering important viewpoints in a construction of a lesson-2005

    • Author(s)
      Ikeda, Toshikazu
    • Journal Title

      Proceedings of Japan Society of Science Education Vol.29

      Pages: 191-194

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] 数学的モデリングを促進する考え方に焦点を当てた指導目標の系列と授業構成に関する研究2004

    • Author(s)
      池田 敏和
    • Journal Title

      日本数学教育学会誌 数学教育学論究 Vol.81・82

      Pages: 3-32

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 中学校段階におけるモデリング・応用の指導の8カ国における動向-第14回ICMI研究のワーキンググループの活動を通して-2004

    • Author(s)
      池田 敏和
    • Journal Title

      日本科学教育学会年会論文集 28

      Pages: 225-228

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 数学的モデリング・応用の指導で取り扱う問題の現実性を捉える枠組みと今後の課題2004

    • Author(s)
      池田 敏和
    • Journal Title

      第37回数学教育論文発表会論文集 37

      Pages: 607-612

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A Study on the Sequence of Teaching Objectives and the Lesson Construction Focused on Thinking that will Promote Mathematical Modeling2004

    • Author(s)
      Ikeda, Toshikazu
    • Journal Title

      Journal of Japan Society of Mathematical education, Research in Mathematical education Vol.81・82

      Pages: 3-32

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Trends and Issues of eight countries on a Teaching of Application and Modeling-Trough the Activity of one of the Working Groups in ICMI Study 14-2004

    • Author(s)
      Ikeda, Toshikazu
    • Journal Title

      Proceedings of Japan Society of Science Education Vol.28

      Pages: 225-228

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Framework to grasp the authenticity of modeling tasks and their challenge2004

    • Author(s)
      Ikeda, Toshikazu
    • Journal Title

      Proceedings of paper presented in mathematics education(Japan Society of Mathematics Education) Vol.37

      Pages: 607-612

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Comparing an Analytical Approach and a Constructive Approach to Modelling2003

    • Author(s)
      Ikeda Toshikazu, Max Stephens
    • Journal Title

      Mathematical Modelling : A Way of Life(edited by Susan J.Lamon, Willard A.Parker, Ken Houston)(Horwood Publishing)

      Pages: 201-211

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Comparing an Analytical Approach and a Constructive Approach to modeling2003

    • Author(s)
      Ikeda, Toshikazu, Max Stephens
    • Journal Title

      Mathematical Modelling : A Way of Life(edited by Susan J.Lamon, Willard A.Parker and Ken Houston)(Horwood Publishing)

      Pages: 201-211

    • Description
      「研究成果報告書概要(欧文)」より

URL: 

Published: 2007-12-13  

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