Journal of Science Education in Japan
Online ISSN : 2188-5338
Print ISSN : 0386-4553
ISSN-L : 0386-4553
Research Article
A Framework for Designing Mathematical Modelling Tasks Using Applied Problems in Math-textbooks
Akihiko SAEKITakashi KAWAKAMIMasafumi KANEKO
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2019 Volume 43 Issue 3 Pages 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.

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© 2019 Japan Society for Science Education
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