JAPAN-FRANCE CROSS-CULTURAL RESEARCH ON STUDENTS' ACTIVITIES IN GEOMETRICAL PROBLEM SOLVING BY USING CABRI-GEOMETRY
Grant-in-Aid for Scientific Research (C)
|Allocation Type||Single-year Grants|
|Research Institution||KAWAMURA-GAKUEN WOMEN'S UNIVERSITY|
HARADA Kouhei KAWAMURA-GAKUEN WOMEN'S UNIVERSITY,FACULTY OF EDUCATION,ASSOCIATE PROFESSOR, 教育学部, 助教授 (10238181)
NOHDA Nobuhiko UNIVERSITY OF TSUKUBA,INSTITUTE OF EDUCATION,PROFESSOR, 教育学系, 教授 (80020121)
|Project Period (FY)
1997 – 1998
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)
|Keywords||PROBLEM SOLVING / GEOMETRY / PROOF / CABRI-GEOMETRY|
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.
Research Products (6results)