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An Analysis of Proportional Reasoning of Elementary School Students - Focused on Sixth Graders -  

Jung, Yoo Kyung (당동초등학교)
Chong, Yeong Ok (경인교육대학교)
Publication Information
Journal of Elementary Mathematics Education in Korea / v.19, no.4, 2015 , pp. 457-484 More about this Journal
Abstract
This study aims to investigate an approach to teach proportional reasoning in elementary mathematics class by analyzing the proportional strategies the students use to solve the proportional reasoning tasks and their percentages of correct answers. For this research 174 sixth graders are examined. The instrument test consists of various questions types in reference to the previous study; the proportional reasoning tasks are divided into algebraic-geometric, quantitative-qualitative and missing value-comparisons tasks. Comparing the percentages of correct answers according to the task types, the algebraic tasks are higher than the geometric tasks, quantitative tasks are higher than the qualitative tasks, and missing value tasks are higher than the comparisons tasks. As to the strategies that students employed, the percentage of using the informal strategy such as factor strategy and unit rate strategy is relatively higher than that of using the formal strategy, even after learning the cross product strategy. As an insightful approach for teaching proportional reasoning, based on the study results, it is suggested to teach the informal strategy explicitly instead of the informal strategy, reinforce the qualitative reasoning while combining the qualitative with the quantitative reasoning, and balance the various task types in the mathematics classroom.
Keywords
proportional reasoning task; proportional reasoning ability; formal strategy; informal strategy; qualitative reasoning; quantitative reasoning;
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Times Cited By KSCI : 3  (Citation Analysis)
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