Use of the mathematical principle of inversion in young children

Journal of Experimental Child Psychology

Volumn 85, Issue 2, 2003, Pages 89-102

  Rasmussen, Carmen ^a   Ho, Elaine ^a   Bisanz, Jeffrey ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Arithmetic; Cognitive development; Concepts; Mathematical cognition; Problem solving; Reasoning

Indexed keywords

ARTICLE; CHILD; CHILD DEVELOPMENT; COGNITION; COMPARATIVE STUDY; CONCEPT FORMATION; FEMALE; HUMAN; MALE; MATHEMATICS; PRESCHOOL CHILD; PROBLEM SOLVING; PSYCHOLOGICAL MODEL; TASK PERFORMANCE;

CHILD; CHILD DEVELOPMENT; CHILD, PRESCHOOL; COGNITION; CONCEPT FORMATION; FEMALE; HUMANS; MALE; MATHEMATICS; MODELS, PSYCHOLOGICAL; PROBLEM SOLVING; TASK PERFORMANCE AND ANALYSIS;

EID: 0038713598     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0965(03)00031-6     Document Type: Article

References (16)

1. Anderson A. Families and mathematics: A study of parent-child interactions Journal for Research in Mathematics Education 28 1997 484-511
2. Bisanz J. LeFevre J. Strategic and nonstrategic processing in the development of mathematical cognition In Bjorkland D.F. (Ed.), Children's strategies: Contemporary views of cognitive development 1990 213-244 Lawrence Erlbaum Associates Hillsdale, NJ
3. Bryant P. Christie C. Rendu A. Children's understanding of the relation between addition and subtraction: Inversion, identity, and decomposition Journal of Experimental Child Psychology 74 1999 194-212
4. Gathercole S.E. Pickering S.J. Assessment of working memory in six- and seven-year-old children Journal of Educational Psychology 92 2000 377-390
5. Ginsburg, H. P., Klein, A., & Starkey, P. (1998). In W. Damon (Series Ed.), I. E. Sigel, & K. A. Renninger (Vol. Eds.), Handbook of child psychology: Vol. 4. Child psychology in practice (5th ed., pp. 401-476). New York: Wiley
6. Huttenlocher J. Jordan N.C. Levine S.C. A mental model for early arithmetic Journal of Experimental Psychology: General 123 1994 284-296
7. Klein J.S. Bisanz J. Preschoolers doing arithmetic: The concepts are willing but the working memory is weak Canadian Journal of Experimental Psychology 54 2000 105-114
8. McLean J.F. Hitch G.J. Working memory impairments in children with specific arithmetic learning disabilities Journal of Experimental Child Psychology 74 1999 240-260
9. Miller K.F. Smith C.M. Zhu J. Zhang H. Preschool origins of cross-national differences in mathematical competence: The role of number-naming systems Psychological Science 6 1995 56-60
10. Mix K.S. Huttenlocher J. Levine S.C. Multiple cues for quantification in infancy: Is number one of them Psychological Bulletin 128 2002 278-294
11. Nunes T. Bryant P.E. Children doing mathematics 1995 Blackwell Publishers Oxford, UK
12. Piaget J. The child's conception of number 1952 Routledge & Kegan Paul London
13. Siegler R.S. Shrager J. Strategy choices in addition and subtraction: How do children know what to do? In Sophian C. (Ed.), Origins of cognitive skills 1984 Erlbaum Hillsdale, NJ
14. Siegler R.S. Stern E. Conscious and unconscious strategy discoveries: A microgenetic analysis Journal of Experimental Psychology: General 127 1998 377-397
15. Starkey P. Gelman R. The development of addition and subtraction abilities prior to formal schooling in arithmetic In Carpenter T.P. Moser J.M. Romberg T.A. (Eds.), Addition and subtraction: A cognitive perspective 1982 99-112 Lawrence Erlbaum Associates Hillsdale, NJ
16. Stern E. Spontaneous use of conceptual mathematical knowledge in elementary school children Contemporary Educational Psychology 17 1992 266-277