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Original scientific paper

Children’s understanding of quantitative and non-quantitative transformations of a set

Ana Stojanov ; Faculty of Education (Psychology and Education route), University of Cambridge, Cambridge, UK


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Abstract

Children’s understanding of the transformation of a set needed for a change of the number was examined with help of the transform-set task. Based on previous studies it was assumed that the subset knowers will be outperformed by the cardinality principle knowers in both quantitative and non-quantitative transformations when the number in question was large, but both groups will perform equally well when the number in question was small. The results showed that there was no difference between the groups on large number quantitative change, but there was for small number quantitative change. Qualitative analysis sheds light on children’s understanding of the nonquantitative transformations of a set as well as on their understanding of reversibility of an operation. These findings might suggest a better approach to teaching children addition and subtraction.

Keywords

quantitative transformation of a set; non-quantitative transformation of a set; counting; subset knowers; cardinality principle knowers

Hrčak ID:

81458

URI

https://hrcak.srce.hr/81458

Publication date:

20.12.2011.

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