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

Yuzawa Masamichi

Yamamoto Yasumasa

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

Bulletin of the Graduate School of Education, Hiroshima University. Part. Ⅲ, Education and Human Science

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.

電流

数学

中学生

理解

electric current

mathematics

junior high school students

understanding

Education [ 370 ]

jpn

広島大学大学院教育学研究科

国立情報学研究所

[ISSN] 1346-5562

[NCID] AA11625039