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A Case Study on the Effects of the Primary Concepts of Division and Fraction upon Relational Understanding of Decimals  

Kim, Hwa Soo (Sehan University)
Publication Information
Journal of the Korean School Mathematics Society / v.18, no.4, 2015 , pp. 353-370 More about this Journal
Abstract
This study was conducted as a qualitative case study that explored how gifted 3rd-grade elementary school children who had learned the primary concepts of division and fraction, when they studied contents about decimal, formed the transformed primary concept and transformed schema of decimal by the learning of accurate primary concepts and connecting the concepts. That is, this study investigated how the subjects attained relational understanding of decimal based on the primary concepts of division and fraction, and how they formed a transformed primary concept based on the primary concept of decimal and carried out vertical mathematizing. According to the findings of this study, transformed primary concepts formed through the learning of accurate primary concepts, and schemas and transformed schemas built through the connection of the concepts played as crucial factors for the children's relational understanding of decimal and their vertical mathematizing.
Keywords
Primary concepts; Transformed Primary concepts; Schema; Transformed schema;
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Times Cited By KSCI : 1  (Citation Analysis)
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