数学的概念の認識における二面性に関する考察(4) : 指導原理の関数における適用可能性について

抄録

The purpose of this study is to establish a teaching principle based on the duality on the recognition of mathematical concepts. Inoue (1997) theoretically considered the principle. This paper aims to verify the validity and the application possibility of this principle by means of teaching experiment of function. As a result, it is suggested that the teaching in line with the principle promotes the structural conception of students in learning of function. Through the teaching experiment, the following are found as noteworthy point in applying the principle to one mathematical concept; (1) Making mathematical concept clear which is needed for students to acquire. (2) Certifying the operational foundation of students at the stage of objectification. (3) Taking learning for "operational-structural" repetition.