国枝元治の関数教育に関する研究

抄録

The purpose of this paper is to study how Motoji Kunieda (1873-1954) understood the concept of function and how he thought about the education of function. He considered that the goal of mathematical education was to cultivate mathematical common sense, which gives the person knowledge and the power of judgment in mathematics and arithmetic, and the concept of function was one aspect of mathematical common sense. He thought that the basic functional relations could be learned at elementary school, but that the real leaning of function should be cultivated in junior high school. This is because the comprehending of function was depended on the understanding of variables, and variables are represented by algebraic symbols. We can classify the teaching contents in his textbooks into four periods, as the followings. In the first period, from 1912 to 1921, the education of function began to be taught to students. But, some of the contents were omissible in teaching. In the second period, from 1922 to February 1926, the teaching contents have been developed. Especially in algebra, the teaching contents which had been omissible in the first period were formally treated. In the third period, from March 1926 to 1932, the teaching contents were enriched, quantitatively and qualitatively. In the forth period, from 1933 to 1937, the teaching contents have been edited a little and ordered.