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A Comparative Analysis of Graphical Representations Related to Addition of Fractions in Elementary Mathematics Textbooks of Korea and Singapore  

Lee, Jiyoung (Paldal Elementary School)
Pang, JeongSuk (Korea National University of Education)
Seo, Eunmi (Graduate School, Korea National University of Education)
Kim, Kyeonghun (Graduate School, Korea National University of Education)
Publication Information
Journal of Educational Research in Mathematics / v.27, no.3, 2017 , pp. 537-555 More about this Journal
Abstract
This paper compared and contrasted Korean and Singaporean textbooks in order to explore the direction and possibility of teaching the big ideas related to the addition and subtraction of fractions with different denominators proposed by Lee & Pang (2016a). Firstly, we examined the teaching sequences related to the addition of fractions with different denominators in a series of elementary mathematics textbooks of Korea and Singapore. We then analyzed what types of representations are used and how the representations are presented for the big ideas related to the addition of fractions with different denominators. The results of the analysis showed that the contents related to fraction addition are addressed more gradually and systematically in Singaporean textbooks compared to Korean counterparts. The graphical representations appeared in the Singaporean textbooks provide specific implications for teaching the big ideas of the addition of fractions with different denominators. Based on such implications, we expect that the big ideas related to the addition of fractions with different denominators will be addressed explicitly and systematically in Korean textbooks.
Keywords
The addition and subtraction of fractions; Graphical representations; Fixed whole unit; Necessity of common measurement units; Recursive partitioning; Analysis of textbooks; Singaporean mathematics textbooks;
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