広島大学大学院教育学研究科紀要. 第三部, 教育人間科学関連領域 Issue 50
published_at 2002-02-28

思考の道具としての数学が物理現象のモデルとしての数学と対立するとき : 中学生による電流、電圧、抵抗の関係の理解

When mathematics as a tool for thought is not congruent with mathematics as a model for a physical phenomenon : Junior high school students' understanding of relationships among electric current, pressure, and resistance
Yamamoto Yasumasa
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KJ00004253969.pdf
Abstract
The present study examined the effects of instruction that avoids the cognitive conflict between mathematics as a tool for thought and mathematics as a model for physical phenomena. Students in four classes of public junior high school received two types of instructions concerning electric current. Students under the experimental condition learned the qualitative relationships among electric current, pressure, and resistance first, and then designed experiments for themselves to obtain the quantitative relationships among these three values. On the other hand, students under the control condition ran experiments that examined electric current when they increased electric pressure for a device with a certain amount of resistance, and learned the quantitative relationships among the three values. It was found that students under the experimental condition did better on tests about the calculation based on the relationships among electric current, pressure, and resistance than students under the control condition.
Keywords
電流
数学
中学生
理解
electric current
mathematics
junior high school students
understanding