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JAPAN-FRANCE CROSS-CULTURAL RESEARCH ON STUDENTS' ACTIVITIES IN GEOMETRICAL PROBLEM SOLVING BY USING CABRI-GEOMETRY

Research Project

Project/Area Number 09680287
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
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) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1997: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsPROBLEM SOLVING / GEOMETRY / PROOF / CABRI-GEOMETRY
Research Abstract

characteristics of students' activities in geometrical problem solving by using Cabri-Geometry from viewpoint of Japan-France cross-cultural research.
For the purpose, we made four didactical experiments with junior high school students.
Experiment 1 : Problem solving by using Paper-Pencil in pairs
Experiment 2 : Problem solving by using Gabri-Geometry in pairs
Experiment 3 : Problem solving by using Paper-Pencil in individually
Experiment 4 : Problem solving by using Cabri-Geometry in individually
The main conclusions are as follows :
(1) In drawing of figure, the students who used paper-pencil tended to draw the figure based on 'perceptive' recognitions for geometrical figures.
(2) In proving of proposition, most of all the students who used Cabri-Geometry produced valid inferences based on 'operative' or 'discursive' recognitions for geometrical figures.
(3) In problem solving in pairs, there was a tendency to modify their inadequate judgments and inferences based on 'perceptive' recognitions for geometrical figures through their social interactions.
(4) It seems that most of all Japanese students had a prototype example of parallelograms and the prototype example depended on the Japanese culture.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (6 results)

All Other

All Publications (6 results)

  • [Publications] 原田 耕平: "幾何の証明問題の解決を支援するCabri-Geometryの利用" 日本科学教育学会年会論文集. 22. 111-112 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 原田 耕平: "幾何の証明問題の解決過程の分析" 日本数学教育学会数学教育論文発表会論文集. 31. 147-152 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kouhei HARADA: "Using Cabri-Geometry of helping students in geometrical proof-problem solving." Proceedings of the 22nd Annual Conference of Japan Society of Science Education. 111-112 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kohei HARADA,Nobuhiko NOHDA,and Elisabeth GALLOU-DUMIEL: "Analysis of students' thinking processes of geometrical proof-problem solving." Proceedings of the 31st Annual Conference of Japan Society of Mathematics Education.147-152 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 原田耕平: "幾何の証明問題の解決を支援するCabri-Geometryの利用" 日本科学教育学会年会論文集. 22. 111-112 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 原田耕平: "幾何の証明問題の解決過程の分析" 日本数学教育学会数学教育論文発表会論文集. 31. 147-152 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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