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http://dx.doi.org/10.7468/jksmee.2022.36.2.229

A Comparative Analysis of Introducing Addition and Subtraction in the Korean, Singaporean, American, and Japanese Elementary Textbooks  

Pang, JeongSuk (Korea National University of Education)
Kim, Leena (Graduate School of Korea National University of Education)
Kim, SoHyeon (Graduate School of Korea National University of Education)
Publication Information
Communications of Mathematical Education / v.36, no.2, 2022 , pp. 229-252 More about this Journal
Abstract
This study analyzed the introduction of addition and subtraction, including the composition and decomposition of numbers in the Korean, Singaporean, American, and Japanese elementary mathematics textbooks. The analytic foci of this study included visual models and their connections with the given problem contexts, the introduction of addition/subtraction or addition/subtraction sentences and their connections with the visual models, and additional activities for students to develop a relational understanding of the equal sign. The results of the analysis demonstrated diverse connections, mainly because the problem contexts, visual models, and the introduction of addition/subtraction or addition/subtraction sentences were implemented differently for each textbook. There were differences among the textbooks in what order of problem contexts were presented. Regarding the use of visual models, two textbooks tended to use one model consistently, whereas the other textbooks used various models depending on the problem contexts. There were subtle but significant differences in introducing addition/subtraction or addition/subtraction sentences. For a relational understanding of the equal sign, all textbooks included activities emphasizing that both sides of the equal sign are equal. Based on the results of this study, this paper closes with several implications related to the problem contexts to introduce addition/subtraction and addition/subtraction sentences as well as the use of visual models, which can serve as a basis for a new unit for the subsequent textbook.
Keywords
composition and decomposition of numbers; addition; subtraction; equal sign; relational understanding; textbook analysis; international comparison;
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Times Cited By KSCI : 2  (Citation Analysis)
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