The Mathematical Education (한국수학교육학회지시리즈A:수학교육)
- Volume 46 Issue 2 Serial No. 117
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- Pages.141-153
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- 2007
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
An Analysis of Children's Proportional Reasoning in Proportional Problems with Iconic Representations
영상적 표상이 포함된 비례 문제에서 나타난 아동들의 비례적 사고 분석
Abstract
The purpose of the study is to analyze children's proportional reasoning and problem solving in proportional problems with/without iconic representations. Proportional problems include 3 tasks such as (a) without any picture, (b) with simple picture, and (c) with/without iconic representation. As a result, children didn't show any significant differences in two tasks such as (a) and (b). However, children showed better proportional reasoning with iconic representation. In addition, 'build-up expression' strategy was used mostly in solving problems and 'additive strategy' was shown as an error which students didn't make an appropriate proportional relation expression and they made a wrong additive strategy.