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http://dx.doi.org/10.7468/jksmec.2016.19.4.277

An Analysis on the Contents of Textbooks about Converting between a Mixed number and an Improper fraction  

Lee, Dae Hyun (Department of Mathematics Education, Gwangju National University of Education)
Publication Information
Education of Primary School Mathematics / v.19, no.4, 2016 , pp. 277-289 More about this Journal
Abstract
Fraction is one of the concepts which are difficult to elementary school students. So, many researches about fraction were performed in mathematics education research. In special, fraction has so many subordinative concepts-proper fraction, improper fraction, mixed number. We have to concentrate on the conceptual understanding in teaching of fraction. In this case, a mixed number and improper fraction are concepts which can convert respectively. And there are methods that a mixed number and improper fraction can be converted. So, it's needed to analyze the converting methods in textbooks for getting the implication of teaching in this areas. In this study, I analyzed the Korean and foreign's textbooks. I certified the methods-using addition expression, using part-whole model in the textbooks. For the conceptual understanding, I suggested to use the fusion of the various part-whole fraction models and addition expression more than the algorithm in converting between a mixed number and improper fraction. It's reason that the use of models in converting between a mixed number and improper fraction is important for the relational understanding.
Keywords
fraction; improper fraction; mixed number; converting between improper fraction and mixed number; mathematics textbook;
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Times Cited By KSCI : 1  (Citation Analysis)
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