高等学校における数学的モデリングに関する実践事例―モデリング・チャレンジプログラムの記録―

抄録

Mathematical modeling is one of the activities through which various real-life situations can be considered from a mathematical perspective. It also provides an opportunity for the practical application of the knowledge and skills learned in the textbook. However, in reality, most of the students in Japan have never experienced mathematical modeling. In this report, we will present a summary of the “Modeling Challenge Program” which was held in Kyoto twice, and also the students’ activities of mathematical modeling we observed in this program. At the same time, we will describe the two modeling teaching materials that were used in the program. The first one is related to the “vote-value disparity and political districting problem” and the second one is related to an “expanding sphere problem.” In this program several high school students attempted to solve the above problems and experienced the mathematical modeling.