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http://dx.doi.org/10.7468/jksmec.2019.22.1.29

An Analysis of Double Scale Models in the Japanese Elementary Mathematics Textbooks  

Seo, EunMi (Graduate School at Korea National University of Education)
Cho, SeonMi (Graduate School at Korea National University of Education)
Pang, JeongSuk (Korea National University of Education)
Publication Information
Education of Primary School Mathematics / v.22, no.1, 2019 , pp. 29-48 More about this Journal
Abstract
Previous studies on double scale models, visual models with two different scales (Chong, 2015), have focused on double number line and little research has been conducted on how to employ double scale models in the elementary mathematics textbooks series. Given this, we analyzed the characteristics of double scale models in the Japanese elementary mathematics textbooks in the following aspects: (a) the contents of units where double scale models were used; (b) the purposes of using such models; (c) the types of such models tailored to the contents and grade levels; and (d) the characteristics of problem contexts dealing with the models. The results of this study showed that double scale models were effectively used to connect the contents related to multiplication, specifically for the contexts of ratio. Such models were addressed for students in a systematic and gradual way as the grade levels went up. Based on these results, this paper describes implications on how to use double scale models in mathematics textbooks.
Keywords
visual model; double scale model; double number line; textbook analysis;
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