Psychological Development and Education ›› 2007, Vol. 23 ›› Issue (3): 68-72.

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Children’s Understanding of Multiplicative Concepts in Different Cue’s Representations

YANG Xiao-ying, HE Xian-you   

  1. Department of psychology, South China Normal University, Guangzhou 510631
  • Online:2007-07-15 Published:2007-07-15

Abstract: Designing a special math test proved that different problems contexts make effect to using the multiplicative concepts.The result came from primary student (including Grade 4 and Grade 6) from a primary school in Guangdond province.It indicated: (1) all the children (including the Grade 4 who have never learned Commutativity) can use the commutative cue successfully, irrespective of the context of the problem.(2) There was evidence that the problem context affected children's ability to use distributivity.The Grade 6 can used distributivity with Isomorphism of measures more successfully than other contexts.The all children in lower mark use distributivity with Isomorphism of measures more successfully than other contexts.In all, children can use multiplicative concepts to solve problem more successfully in Isomorphism context.

Key words: problem context, multiplicative concepts, primary student

[1] Baroody A J.The roles of estimation and commutativity principle in the development of third graders' mental multiplication.Journal of Experimental Child Psychology,1999,74,157-193.
[2] Mac C N.Children's conception of multiplications of the Tentb.International Conference,Psychology of Mathematics Education.London:Institute of Education,1986,49-54.
[3] Squire S,Dacies C,Bryant P.Does the cue help? Children's understanding of multiplicative concepts in different problem contexts.British Journal of Education Psychology,2004,74,515-532.
[4] Wilkins J I M,Baroody A J,Tiilikainen S.Kindergartners'understanding of additive commutativity within the context of word problems.Journal of Experimental Child Psychology,2001,79,23-36.
[5] Vergnaud G.Multiplication table:To be memorized or mastered ? For the Learning of Mathematics,1983,1,21-25.
[6] Nunes T,Bryant P.Do problem situations influence children's understanding of the commutativity of multiplication? Mathematical Cognition,1995,1,245-260.
[7] Dowker A.Individual differences in aritbmetic.Hove,UK:Psychology Press.2004.
[8] Zweng M J.Division problems and the concept of rate:A study of the performance of second-grade children on four kinds of.division problems.Aritbmetic Teacher,1964,11,547-556.
[9] Piaget J.The child's conception of number.London:Routledge & Kegan Paul.1952.
[10] Piaget J.Studies in reflecting adstraction.Hove,UK:Psychology Press.(Original work published in 1977).2001.
[1] LIU Ru-de, DENG Li. The Study on the Conceptions of Chinese Language and Literacy in Primary Students [J]. Psychological Development and Education, 2002, 18(1): 54-58.
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