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http://dx.doi.org/10.7468/jksmee.2021.35.3.323

Comparison of Middle School Students' Similarities Revealed in the Process of Word Problems Solving According to Covariational Reasoning  

Ma, Minyoung (Andong National University)
Publication Information
Communications of Mathematical Education / v.35, no.3, 2021 , pp. 323-340 More about this Journal
Abstract
The purpose of this case study is to explore the similarities revealed in the process of solving and generalizing word problems related to systems of linear equations in two variables according to covariational reasoning. As a result, student S, who reasoned with coordination of value level, had a static image of the quantities given in the situation. student D, who reasoned with smooth continuous covariation level, had a dynamic image of the quantities in the problem situation and constructed an invariant relationship between the quantities. The results of this study suggest that the activity that constructs the relationship between the quantities in solving word problems helps to strengthen the mathematical problem solving ability, and that teaching methods should be prepared to strengthen students' covariational reasoning in algebra learning.
Keywords
covariational reasoning; systems of linear equations; algebra word problem; similarity;
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