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Using Cabri-Geometry of Helping Students in Geometrical Proof-Problem Solving

Research Project

Project/Area Number 06680269
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 教科教育
Research InstitutionKawamura-Gakuen Women's University

Principal Investigator

HARADA Kouhei  Kawamura-Gakuen Women's University Faculty of Education Associate Professor, 教育学部, 助教授 (10238181)

Co-Investigator(Kenkyū-buntansha) NOHDA Nobuhiko  University of Tsukuba, Institute of Education Professor, 教育学系, 教授 (80020121)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1995: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1994: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsProblem-Solving / Geometry / Proof-Problem / Computer
Research Abstract

The purpose of this research is to clarify the effects of using Computer Sofware : Cabri-Geometry as the means of helping students who had difficulties in the geometrical proof-probelm solving. Also this resesrch is planed as Japan-France Collaboreative Research, so we can consider the results of experiments from viewpoints of the international comparative research.
For this purpose, we made "didactical experiments" using Gabri-Geometry. Subjects were junior high school students. The problems of experiments employed problems which genearally can be solved using Thales'Theorem. The main conclusions are as follows : (1) By using "function of transforming figures" of Cabri-Geometry, students gained "dynamic viewpoints of figures" and their conjectual activities were developed. (2) By using "function of transforming figures" of Cabri-Geometry, students gained "specialization" of problems and "changing viewpoints of figures". (3) By using "function of drawing figures" of Cabri-Geometry, students could understand the conditions of problems and the chain of inferences. (4) By using Cabri-Geometry, Japanese students were given more impressively "dynamic viewpoints of figures" and French students gained good " visualization" of geometrical figures. (5) From viewpoints of the analysis of "didactical situations", Cabri-Geometry was used by students as "the means of generating conjectures", "the means of coping with refutation", and "the means of establishing validity of conjectures" in geometrical proof-problem solving. Setteing up the "didactical situation" by using Cabri-Geometry is a method of helping sutudents in geometrical proof-problem solving based on the "social interactions".

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (7 results)

All Other

All Publications (7 results)

  • [Publications] HARADA,Kouhei NOHDA,Nobuhiko: "Student's knowledge Generated by Using Cabri-Creometry" Tsukuba Journal of Educational Study in Mathematics. 13. 103-111 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 原田耕平: "幾何の証明問題の解決を支援するカブリ・ジオメトリーの利用" 日本科学教育学会20周年記念論文集. 285-292 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] HARADA,Kouhei & NOHDA,Nobuhiko: "Students' Knowledge Generated by Using Cabri-Geometry" Tsukuba Journal of Educational Study in Mathematics. Vol.14. 103-111 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] HARADA,Kouhei: "Using Cabri-Geometry of Helping Students in Geometrical Proof-Problem Solving" The Memorial Research Bulletin for the 20th Anniversary of Japan Society for Science Education. 285-292 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] 原田耕平,能田伸彦,エリザベート・ガル-・ダミール: "幾何の証明問題の解決を支援するCabri-Geometryの利用" 日本数学教育学会第28回数学教育論文発表会論文集. 275-280 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 原田耕平・能田伸彦: "幾何の証明問題の解決を支援するCabri-Geometryの利用" 日本科学教育学会第18回年会論文集. 249-250 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 原田耕平・能田伸彦・エリザベート・ガル-・ダミール: "幾何の証明問題の解決を支援するCabri-Geometryの利用" 日本数学教育学会第27回数学教育論文発表会論文集. 329-334 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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