中等教育における確率のカリキュラム開発に向けた一考察 ―確率概念の形成のための定義と偶然概念に焦点を当てて―

抄録

　　 The purpose of this paper is to obtain implications to develop curriculum on probability from the point of view of formation of the student’s concept of probability.

　　 Firstly, I referred to the duality of classical probability and frequentistic probability from Otaki (2011) and the relation of the concept of probability and that of randomness from Kawasaki (1990).  Then, I pointed out that, to form the concept of probability, the followings are necessary: “understanding both classical probability and frequentistic probability, and mutual connection between them” and “understanding of the concept of randomness preceding that of probability, and connection between them”.

　　 Secondly, I considered the current curriculum critically from the point of view of formation of the concept of probability, and found that the current curriculum have some problems in this point of view.

　　 Finally, I suggest “spiral curriculum” from this point of view based on “Principles in Setting and Arranging Teaching Contents” in “A Study on Constituent Principles of Curriculum in Mathematics Education” (Nakahara, 2008).  This paper shows that spiral curriculum is effective to form the student’s concept of probability and is required in the current secondary education.