Journal of Science Education in Japan
Online ISSN : 2188-5338
Print ISSN : 0386-4553
ISSN-L : 0386-4553
Research Article
A Case Study of the Lesson Practice of Mathematical Modeling with Emphasis on “Model Versatilization”: Focusing on Recurrence Formulas and Transition Probability Matrix
Takumi FUKUSHIMA
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2024 Volume 48 Issue 1 Pages 12-23

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Abstract

The purpose of this study is to construct and implement lessons emphasizing “model versatilization,” and to clarify the effectiveness and challenges of the lessons through the realities regarding students’ mathematical modeling competencies. “Model versatilization” means activities intended to construct a mathematical model that can be used for various structurally similar real events through the process of creating mathematical models and expanding the range of applicability of these mathematical models. To achieve this purpose, the lessons, which emphasize “model versatilization,” were structured based on a series of modeling materials developed and the framework of the designed lessons. Lesson protocols, students’ worksheets and learning impressions were then analyzed. As a result, students performed modeling competencies related to an awareness of similarities of events in problems of other real events that were common to the mathematical model created for one real event problem, thus demonstrating one aspect of the effectiveness of the lessons.

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© 2024 Japan Society for Science Education
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