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Children's judgments about proportional equivalence with discrete quantities.

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한국사회과학협의회 (Korean Social Science Research Council)|2004.12|Korean Social Science Journal|제31권 제2호|pp. 57-80

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참고문헌

주제분류사회과학일반

초록

Abstract

The present study investigated 4-, 6- 8- and 10-year-olds’s ability to judge the equivalence among proportions that involved discrete quantities. Problems were presented in the context of making magic water. Children were shown a target proportion (the recipe for the magic water) and were asked to find an equivalent proportion among three choices for the magic water. The results of this investigation provide evidence for three main conclusions. First, children’s performance in judging proportion with discrete quantities was mainly related to their correct/incorrect use of the number strategy. 4 and 6 year olds failed because they used erroneous number strategy, whereas 10 year olds succeeded by using correct number strategy. Second, young children’s tendency to use the erroneous number strategy was closely linked to their conventional counting knowledge. Third, children performed significantly better when they can use the half-boundary, providing evidence that half plays a general and important role in children’s proportional judgments. In sum, our findings indicate that children’s performance in proportional reasoning task may depends on their choice of a particular strategy that may be provoked by characteristics of problems and by their mathematical knowledge.

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