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A Study on Improving Teaching of Geometry with an Emphasis on Cooperation across Primary and Secondary Schools

Research Project

Project/Area Number 16530578
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

KUNIMUNE Susumu  Shizuoka University, Faculty of Education, Professor, 教育学部, 教授 (50214979)

Co-Investigator(Kenkyū-buntansha) OHTA Haruto  Shizuoka University, Faculty of Education, Professor, 教育学部, 教授 (40126769)
YAMADA Kozo  Shizuoka University, Faculty of Education, Professor, 教育学部, 教授 (00200717)
NAKAMURA Takashi  Yamanashi University, Faculty of Education Human Science, Professor, 教育人間科学部, 教授 (70303394)
MOROZUMI Tatsuo  Shizuoka University, Faculty of Education, Associate Professor, 教育学部, 助教授 (50324322)
KUMAKURA Hiroyuki  Shizuoka University, Faculty of Education, Associate Professor, 教育学部, 助教授 (00377706)
Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2004: ¥1,200,000 (Direct Cost: ¥1,200,000)
Keywordsmathematics education / teaching geometry / teaching space and shape / arithmetic education / spatial concept / teaching geometry in England / proof
Research Abstract

1. The purpose of this research is to recommend improving teaching of geometry.
2. We find there are few students who can draw a sketch exactly in sixth grade, and indicate the importance of teaching projective idea treated 3-D shapes. Moreover, we analyze the contents of Shape, space and measures in The National Curriculum for England and National Numeracy Strategy, and clarify, for example, the characteristic the symmetry of figures are taught from lower grade of primary school in UK.
3. We divide twelve years to three periods across primary and secondary schools ; the first period is from year 1^<st> to forth, the second is from fifth to eighth, and the third is from ninth to twelfth. Then, we propose 17 recommendations for improving teaching of geometry with an emphasis on cooperation across primary and secondary schools; we here show eight items of 17, which are for the second period.
Pupils should be taught to
(3) understand congruence and similarity of plane figures in the second period.
(4) get close to shapes of symmetry from the first period.
(5) understand the concepts of figures, and raise their interest about it through learning the measures of figures.
(6) be attached greater importance to drawing and reading sketches.
(7) analyze 3-D shapes positively through 2-D projections, cross-section, and expanding.
(8) use parallel lines and angles, the angle sum of a polygon in year seven; these are placed in the content of reasoning.
(9) understand the differences between the way of practical demonstrations and proofs.
(10) be attached greater importance to constructing first, and then proving.

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (12 results)

All 2006 2005 2004

All Journal Article (12 results)

  • [Journal Article] 中学との接続を重視した高等学校の幾何教育に関する研究(第2次)-図形と方程式の指導に焦点を当てて-2006

    • Author(s)
      熊倉 啓之
    • Journal Title

      静岡大学教育学部研究報告(教科教育学篇) 第37号

      Pages: 49-64

    • NAID

      110004616385

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] 学ぶ意義を実感させる三角比の指導に関する研究-中学と高校の接続を重視して-2006

    • Author(s)
      熊倉 啓之
    • Journal Title

      日本数学教育学会 第39回数学教育論文発表会論文集

      Pages: 355-360

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] 空間図形についての理解に関する研究-立体の投影的な見方に焦点を当てて-2006

    • Author(s)
      八田 弘恵
    • Journal Title

      日本数学教育学会 第39回数学教育論文発表会論文集

      Pages: 385-390

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] A Study of Teaching Geometry in Upper Secondary School with an Emphasis on Cooperation with Lower Secondary School, Second Report2006

    • Author(s)
      Hiroyuki, KUMAKURA
    • Journal Title

      Bulletin of the faculty of Education, Shizuoka University, EDUCATIONAL RESEARCH SERIES 37

      Pages: 49-64

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Study of Teaching Trigonometric Ratio that Helps Students to Appreciate Mathematics Learning, with an Emphasis on Cooperation across Lower Secondary and Upper Secondary Schools2006

    • Author(s)
      Hiroyuki, KUMAKURA
    • Journal Title

      Research Report (Japan Society of Mathematical Education) 39

      Pages: 355-360

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Study on Students' Understanding about 3-D Figures, Focusing on Projective Idea with Solids2006

    • Author(s)
      Hiroe, HATTA
    • Journal Title

      Research Report (Japan Society of Mathematical Education) 39

      Pages: 385-390

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 中学との接続を重視した高等学校の幾何教育に関する研究-ベクトルの指導に焦点を当てて-2005

    • Author(s)
      熊倉 啓之
    • Journal Title

      静岡大学教育学部研究報告(教科教育学篇) 第36号

      Pages: 101-116

    • NAID

      110001285541

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 空間図形についての理解に関する研究-立方体の見取図をかく授業を通して-2005

    • Author(s)
      八田 弘恵
    • Journal Title

      日本数学教育学会 第38回数学教育論文発表会論文集

      Pages: 337-342

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] A Study of Teaching Geometry in Upper Secondary School with an Emphasis on Cooperation with Lower Secondary School2005

    • Author(s)
      Hiroyuki, KUMAKURA
    • Journal Title

      Bulletin of the faculty of Education, Shizuoka University, EDUCATIONAL RESEARCH SERIES 36

      Pages: 101-116

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Study on Students' Understanding about 3-D Figures, Trough Lessons that Students draw Sketches and solve Problems2005

    • Author(s)
      Hiroe, HATTA
    • Journal Title

      Research Report (Japan Society of Mathematical Education) 38

      Pages: 337-342

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 空間図形についての理解に関する研究-見取図をかいて問題を解決する授業を通して-2004

    • Author(s)
      八田 弘恵
    • Journal Title

      日本数学教育学会 第37回数学教育論文発表会論文集

      Pages: 313-318

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Study on Students' Understanding about 3-D Figures, Trough Lessons that Students draw Sketches of Cubes2004

    • Author(s)
      Hiroe, HATTA
    • Journal Title

      Research Report (Japan Society of Mathematical Education) 37

      Pages: 313-318

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary

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Published: 2004-04-01   Modified: 2016-04-21  

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