Using CabriGeometry of Helping Students in Geometrical ProofProblem Solving
Project/Area Number  06680269 
Research Category 
GrantinAid for General Scientific Research (C)

Allocation Type  Singleyear Grants 
Research Field 
教科教育

Research Institution  KawamuraGakuen Women's University 
Principal Investigator 
HARADA Kouhei KawamuraGakuen Women's University Faculty of Education Associate Professor, 教育学部, 助教授 (10238181)

CoInvestigator(Kenkyūbuntansha) 
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)

Keywords  ProblemSolving / Geometry / ProofProblem / Computer 
Research Abstract 
The purpose of this research is to clarify the effects of using Computer Sofware : CabriGeometry as the means of helping students who had difficulties in the geometrical proofprobelm solving. Also this resesrch is planed as JapanFrance 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 GabriGeometry. 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 CabriGeometry, students gained "dynamic viewpoints of figures" and their conjectual activities were developed. (2) By using "function of transforming figures" of CabriGeometry, students gained "specialization" of problems and "changing viewpoints of figures". (3) By using "function of drawing figures" of CabriGeometry, students could understand the conditions of problems and the chain of inferences. (4) By using CabriGeometry, 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", CabriGeometry 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 proofproblem solving. Setteing up the "didactical situation" by using CabriGeometry is a method of helping sutudents in geometrical proofproblem solving based on the "social interactions".

Report
(3results)
Research Output
(7results)