• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

A study of the connection of teaching geometry between elementary school and lower secondary school

Research Project

Project/Area Number 17500575
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

MATSUO Nanae  Chiba University, Faculty of Education, Associate Professor (70292654)

Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥2,940,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2005: ¥700,000 (Direct Cost: ¥700,000)
Keywordsdefinitions of geometric figures / inclusion / survey / teaching experiment / constructing definitions / concept formation of geometric figures / geometry / mathematics education / 定義の活用 / 図形教育 / 教科教育学 / 概念イメージ / 授業分析 / 教育学 / 調査研究 / 科学教育
Research Abstract

The parpose of this study is to establish the connection of teaching geometry between elementary school and lower secondary school. In particular, I developed the teaching method of definitions of geometric figures based on the connection of curriculums of mathematics between elementary school and lower secondary school.
I use the following ways: administering the survey of 6th grade and 8th grade students' understanding of definitions of geometric figures, forming the plan of lessons in which we made the best use of the factors pointed out theoretically and on the basis of the results of the survey, implementing the planed lessons and examining the effect of them and suggesting the methods of teaching definitions of geometric figures based on the connection of curriculums of mathematics between elementary school and lower secondary school.
The effect of teaching experiment has been definitely shown by the results of the survey which I administered to examine students' classifying geometric figures and understanding definitions. We proposed the following points of teaching definitions of geometric figures: activities of corresponding the meaning of a definition of a geometric figure to the set of it by considering the conditions of the definition of it, activities of constructing definitions of geometric figures with students, activities of confirming if a figure applies to the its definition, depending teaching methods of definitions of geometric figures on their characteristics, relating a geometric figure with another figures and setting up the situations of considering the constructed definitions of geometric figures by students through comparing with the meaning of definitions which students have learnt in elementary school.
On the basis of the preparing learning for definitions of geometric figures in elementary school, we can propose the effective teaching of definitions of geometric figures in lower secondary school.

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (29 results)

All 2008 2007 2006 2005

All Journal Article (21 results) (of which Peer Reviewed: 4 results) Presentation (8 results)

  • [Journal Article] 中学校第2学年における図形の定義指導の要因に関する研究-2学級の調査結果を比較して-2008

    • Author(s)
      松尾 七重
    • Journal Title

      千葉大学教育学部研究紀要 56

      Pages: 83-91

    • NAID

      120007065524

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Journal Article] Study on factors of teaching definitions of geometric figures at the 2nd grade in lower secondary school: Comparing between the results of two classes2008

    • Author(s)
      Nanae Matsuo
    • Journal Title

      Bulletin of the Faculty of Education, Chiba University 56

      Pages: 83-91

    • NAID

      120007065524

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 図形の包摂関係についての理解の変容-定義についての検討場面を取り入れた授業を通して-2007

    • Author(s)
      松尾 七重
    • Journal Title

      千葉大学教育学部研究紀要 55

      Pages: 21-28

    • NAID

      120007065610

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 中学校第2学年における図形の定義指導の効果-定義構成及び定義活用の場面を取り入れた指道を通して-2007

    • Author(s)
      松尾 七重
    • Journal Title

      第40回数学教育論文発表会論文集

      Pages: 469-474

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] The transition of understanding of inclusion relations between geometric figures: Through the lessons which adopt the situation of discussing about definitions of geometric figures2007

    • Author(s)
      Nanae Matsuo
    • Journal Title

      Bulletin of the Faculty of Education, Chiba University 55

      Pages: 21-28

    • NAID

      120007065610

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] The effect of teaching definitions of geometric figures at the 2nd grade in lower secondary school: Through the teaching which adopts the situation of constructing and using definitions2007

    • Author(s)
      Nanae Matsuo
    • Journal Title

      Proceedings of the Fortieth Research -Oriented Annual Conference of Mathematics Education (JSME)

      Pages: 469-474

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 中学校第2学年における図形の定義指導の効果一定義構成及び定義活用の場面を取り入れた指導を通して-2007

    • Author(s)
      松尾 七重
    • Journal Title

      第40回数学教育論文発表会論文集

      Pages: 469-474

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 図形の包摂関係についての理解の変容-定義についての検討場面を取り入れた授業を通して-2007

    • Author(s)
      松 尾 七 重
    • Journal Title

      千葉大学教育学部研究紀要 55

      Pages: 21-28

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 図形の定義指導の重要性-平行四辺形の定義指導の効果に焦点をあてて-2006

    • Author(s)
      松尾 七重
    • Journal Title

      千葉大学教育学部研究紀要 54

      Pages: 175-183

    • NAID

      110004813545

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 図形の定義についての捉え方の変容-定義についての検討場面を取り入れた授業を通して-2006

    • Author(s)
      松尾 七重
    • Journal Title

      第39回数学教育論文発表会論文集

      Pages: 367-372

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] 文字式指導の改善の方向性-「式をよむ力」「式で表す力」「式を多様に見る力」の育成-2006

    • Author(s)
      松尾 七重
    • Journal Title

      日本数学教育学会誌 88

      Pages: 33-40

    • NAID

      110004737582

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] The significance of teaching definitions of geometric figures: Focus on efficiency of teaching defmitions of parallelograms2006

    • Author(s)
      Nanae Matsuo
    • Journal Title

      Bulletin of the Faculty of Education, Chiba University 54

      Pages: 175-183

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] The transition of students' understanding of definitions of geometric figures: Through the lessons which adopt the situation of discussing about definitions of geometric figures2006

    • Author(s)
      Nanae Matsuo
    • Journal Title

      Proceedings of the Thirty -ninth Research -Oriented Annual Conference of Mathematics Education (JSME)

      Pages: 367-372

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Direction to improve teaching of algebraic expressions: Developing students' abilities to interpret, represent and analyze multiple aspects of algebraic expression2006

    • Author(s)
      Nanae Matsuo
    • Journal Title

      Journal of Japan Society of Mathematical Education 88(5)

      Pages: 33-40

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 図形の定義についての捉え方の実態-図形学習後の小学校6年生と図形の定義学習前の中学校2年生の比較-2006

    • Author(s)
      松 尾 七 重
    • Journal Title

      日本科学教育学会年会論文集 30

      Pages: 153-154

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 図形の定義についての捉え方の変容-定義についての検討場面を取り入れた授業を通して-2006

    • Author(s)
      松 尾 七 重
    • Journal Title

      第39回数学教育論文発表会論文集

      Pages: 367-372

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 文字式指導の改善の方向性-「式をよむ力」「式で表す力」「式を多様に見る力」の育成-2006

    • Author(s)
      松 尾 七 重
    • Journal Title

      日本数学教育学会誌 88・5

      Pages: 33-40

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 小学校6年生と中学校2年生における平行四辺形の定義の捉え方の実態-概念イメージとのずれを視点として-2005

    • Author(s)
      松尾 七重
    • Journal Title

      第38回数学教育論文発表会論文集

      Pages: 391-396

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] 6th grade students' and 8th grade students' understanding of a definition of a parallelogram: Focus on a difference between understanding and concept image of parallelogram2005

    • Author(s)
      Nanae Matsuo
    • Journal Title

      Proceedings of the Thirty-eighth Research -Oriented Annual Conference of Mathematics Education (JSME)

      Pages: 391-396

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] 小学校6年生と中学校2年生における平行四辺形の定義の捉え方の実態-概念イメージとのずれを視点として-2005

    • Author(s)
      松尾七重
    • Journal Title

      第38回数学教育論文発表会論文集

      Pages: 391-396

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 図形の定義指導の重要性-平行四辺形の定義指導の効果に焦点をあてて-2005

    • Author(s)
      松尾七重
    • Journal Title

      千葉大学教育学部研究紀要 54巻

      Pages: 175-183

    • NAID

      110004813545

    • Related Report
      2005 Annual Research Report
  • [Presentation] About the context-dependency of understanding the class inclusion of geometric figures.2007

    • Author(s)
      Harry Silfverberg & Nanae Matsuo
    • Organizer
      The 31^st Conference of the International Group for the Psychology of Mathematics Education
    • Place of Presentation
      Seoul National University, Korea
    • Year and Date
      2007-07-13
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] About the context-dependency of understanding the class inclusion of geometric figures2007

    • Author(s)
      Harry Silfverberg & Nanae Matsuo
    • Organizer
      The 31st Conference of the International Group for the Psychology of Mathematics Education
    • Place of Presentation
      Seoul National University, Korea.
    • Year and Date
      2007-07-13
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] About the context-dependency of understanding the class inclusion of geometric figures2007

    • Author(s)
      Harry Silfverberg & Name Matsuo
    • Organizer
      The31^stConference of the Intemational Group for the Psychology of MathematiesEducation
    • Place of Presentation
      Seoul National University,Korea
    • Year and Date
      2007-07-13
    • Related Report
      2007 Annual Research Report
  • [Presentation] Differences of students' understanding of geometric figures based on their definitions.2007

    • Author(s)
      Nanae Matsuo
    • Organizer
      The 31^st Conference of the International Group for the Psychology of Mathematics Education
    • Place of Presentation
      Seoul National University, Korea
    • Year and Date
      2007-07-12
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Differences of students' understanding of geometric figures based on their definitions2007

    • Author(s)
      Nanae Matsuo
    • Organizer
      The 31st Conference of the International Group for the Psychology of Mathematics Education
    • Place of Presentation
      Seoul National University, Korea.
    • Year and Date
      2007-07-12
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Differences of students'understanding of geometric figures based on their defintions2007

    • Author(s)
      Nanae Matsuo
    • Organizer
      The31^stConference of the International Group for the Psychology of Mathematics Education
    • Place of Presentation
      Seoul National UniverSity,Korea
    • Year and Date
      2007-07-12
    • Related Report
      2007 Annual Research Report
  • [Presentation] 図形の定義についての捉え方の実態-図形学習後の小学校6年生と図形の定義学習前の中学校2年生の比較-2006

    • Author(s)
      松尾 七重
    • Organizer
      日本科学教育学会年会
    • Place of Presentation
      筑波学院大学,つくば
    • Year and Date
      2006-08-18
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Students' understanding of definitions of geometric figures: comparing sixth grade students after learning geometry and eighth grade students before learning of definitions of geometric figures2006

    • Author(s)
      Nanae Matsuo
    • Organizer
      Annual meeting of the Japan Society for Science Education
    • Place of Presentation
      Tsukuba.
    • Year and Date
      2006-08-18
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary

URL: 

Published: 2005-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi