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http://dx.doi.org/10.7468/jksmee.2014.28.1.155

A Study on the cognition for generality of solution in Algebra - Focusing on Quadratic equation -  

Kang, Jeong Gi (Nam San Middle School)
Publication Information
Communications of Mathematical Education / v.28, no.1, 2014 , pp. 155-178 More about this Journal
Abstract
This study starts from the problem that although the solution premise the generality in algebra, a lot of students don't understand the generality of algebraic solution. We investigated this problem to understand cognitive characteristic of students. Moreover, we tried to find the elements which helping students understand the generality of algebraic solution. The purpose is to get the didactical implications. To do this, we had investigated the cognition of twenty middle school students for generality of solution. As result, 70 % of them didn't cognize the generality of solution. We had a personal interview with four students who showed a lack of sense of generality of algebraic solution. Putting into three action which we designed to help the change of their recognition, we observed and analyzed students cognizance change. Three action is the check of accordance for individual results, the check of solution accordance for different variables and the check of arbitrary variables. Based on the analysis, we discussed on the cognitive characteristic of students and the effect of three action. We finally discussed on the didactical implications to help students understand the generality of algebraic solution.
Keywords
Variables; Generality of solution;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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