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2004 Fiscal Year Final Research Report Summary

Curriculum re-development of proof curriculum in lower secondary school mathematics based on constructive systematization of propositions

Research Project

Project/Area Number 13680197
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

MIYAZAKI Mikio  Shinshu University, Faculty of Education, Associate Professor, 教育学部, 助教授 (10261760)

Project Period (FY) 2001 – 2004
KeywordsLower Secondary School Mathematics / Geometry / Proof / Constructive Systematization / Curriculum
Research Abstract

The aim of research is to re-develop proof curriculum of lower secondary school mathematics from the point of constructive systematization of propositions.
The followings have done toward achieving this purpose.
■Necessary activities based on the relationship between geometry and space were specified.
■The aspects of investigative activity of universality of basic propositions for deduction in a local quasi-system were specified.
■The theoretical levels of students' recognition on the relationship between a local quasi-system and their real world were developed.
■The conceptual framework to understand students' recognition on the establishment of universality of propositions by empirical approaches.

  • Research Products

    (5 results)

All 2003 2002

All Journal Article (4 results) Book (1 results)

  • [Journal Article] 中学校数学において,生徒が証明の発見機能を活用するための諸条件に関する研究2003

    • Author(s)
      宮崎 樹夫
    • Journal Title

      科学教育研究(日本科学教育学会) 26・5

      Pages: 358-369

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Conditions to Use the Discovery Function of Proof in Lower Secondary School Mathematics2003

    • Author(s)
      MIYAZAKI, M.
    • Journal Title

      26(5)

      Pages: 358-369

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] 局所的準体系で演繹の基になる命題の正しさを探る活動-中学校数学の図形領域における活動の諸相と価値-2002

    • Author(s)
      宮崎 樹夫
    • Journal Title

      筑波数学教育研究 21

      Pages: 21-30

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Investigative Activity of Truth of Basic Propositions for Deduction in a Local Quasi-system : Its Aspects in Geometry of Junior High-school Mathematics2002

    • Author(s)
      MIYAZAKI, M.
    • Journal Title

      Tsukuba Journal of Mathematics Education 21

      Pages: 21-30

    • Description
      「研究成果報告書概要(欧文)」より
  • [Book] 自ら調べ判断する力を育てる授業を創る(清水静海,根本博他編)「CD-ROM版中学校数学科教育実践講座 理論編 考えることの楽しさ,面白さが分かる数学教育」視点と評価2003

    • Author(s)
      宮崎 樹夫
    • Total Pages
      10
    • Publisher
      ニチブン
    • Description
      「研究成果報告書概要(和文)」より

URL: 

Published: 2006-07-11  

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