2019 年 43 巻 3 号 p. 220-232
The purpose of this study is to develop a framework based on a modelling process diagram for designing mathematical modelling tasks using applied problems in math-textbooks. Furthermore, we illustrated the framework with a mathematical problem in a textbook for the 9th grade. Two novel findings have been obtained:
(1) We designed a framework to transform applied problems in math-textbooks to modelling tasks. It was constructed by three methods: (a) selection of the applied problem, (b) analysis of the applied problem, and (c) constructing the mathematical modelling tasks based on the analysis.
(2) We developed a modelling process diagram that is composed of the basic phases of the modelling process, with arrows indicating the interactive activity of each phase.