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Number processing and mental calculation in school children aged 7 to 10 years: a transcultural comparison

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Abstract

Neuropsychological studies of dyscalculic patients show that arithmetical development is not a unidimensional process. In transcultural investigations, cultural, educational and linguistic factors might affect differently the various components of mathematical development. Four hundred and sixty schoolchildren aged 7 to 10 years from Brasilia, Brazil (n=141), Paris, France (n=160) and Zurich, Switzerland (n=159) were asked to perform eleven number processing and calculation tasks. Chronological age, which was almost confounded in this study to educational level, had a strong effect on some tasks (knowledge of the written code of numbers, number comparison, mental calculation, problem solving), but only a slight effect on other tasks (counting dots, counting backwards, estimation). Also, linguistic factors and factors related to the socio-economic level of the family had different effects on the various components of calculation and number processing. Evidence from developmental studies has to be integrated into theoretical models of calculation and number processing, which are presently based mainly on results from neuropsychological studies of dyscalculic patients.

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References

  1. Carraher TN, Carraher DW, Schliemann AD (1985) Mathematics in the streets and in the schools. British Journal of Developmental Psychology 3: 21–29

    Google Scholar 

  2. Dehaene S, Cohen L (1991) Two mental calculation systems: a case study of severe acalculia with preserved approximation. Neuropsychologia 29: 1045–1074

    Article  CAS  PubMed  Google Scholar 

  3. Dehaene S (1992) Varieties of numerical abilities. Cognition 44: 1–42

    Article  CAS  PubMed  Google Scholar 

  4. Dellatolas G, Deloche G, Basso A, Claros-Salinas D (2000) Assessment of calculation and number processing using the EC301 battery: cross-cultural normative data and application to left- and right-brain damaged patients. Journal of the International Neuropsychological Society (submitted)

  5. Deloche G, Seron X, Larroque C, Magnien C, Metz-Lutz MN, Noel MN, Riva I, Schils JP, Dordain M, Ferrand I, Baeta E, Basso A, Claros Salinas D, Gaillard F, Goldenberg G, Howard D, Mazzucchi A, Tzavaras A, Vendrell J, Bergego C, Pradat-Diehl P (1994) Calculation and number processing: assessment battery: role of demographic factors. Journal of Clinical and Experimental Neuropsychology 16: 195–208

    Article  CAS  PubMed  Google Scholar 

  6. Deloche G, von Aster M, Dellatolas G, Gaillard F, Tieche C, Azema D (1995) Traitement des nombres et calcul en CE1 et CE2: quelques données et principes d’élaboration d’une batterie. Approches Neuropsychologiques des apprentissages chez l’enfant Hors série: 42–51

  7. Deloche G, Souza L, Willadino-Braga L, Dellatolas G (1999) Assessment of calculation and number processing by adults: cognitive and neuropsychological issues. Perceptual and Motor Skills 89: 707–738

    Article  CAS  PubMed  Google Scholar 

  8. Deloche G, Souza L, Willadino-Braga L, Dellatolas G (1999) A calculation and number processing battery for clinical application in illiterates and semi-literates. Cortex 35: 503–521

    Article  CAS  PubMed  Google Scholar 

  9. Dowker A (1998) Individual differences in normal arithmetical development. In: Donlan C (ed) The Development of Mathematical Skills (pp 275–302). Hove: Psychology Press

    Google Scholar 

  10. Fuson KC, Richards J, Briars DJ (1982) The acquisition and elaboration of the number word sequence. In: Brainerd CJ (ed) Children’s Logical and Mathematical Cognition: Progress in Cognitive Developmental Research (pp 33–92). New-York: Springer-Verlag

    Google Scholar 

  11. Fuson KC (1992) Research on teaching and learning addition and subtraction of whole numbers. In: Leinhardt G, Putman R, Hattrup RA (eds) Analysis of Arithmetic for Mathematics Teaching. Hillsdale, NJ: Erlbaum

    Google Scholar 

  12. Geary DC, Widaman KF (1987) Individual differences in cognitive arithmetic. Journal of Experimental Psychology: General 116: 154–171

    Article  CAS  Google Scholar 

  13. Geary DC (1994) Children’s Mathematical Development. Washington DC: American Psychological Association

    Google Scholar 

  14. Geary DC (1995) Reflections of evolution and culture in children’s cognition: implications for mathematical development and instruction. American Psychologist 50: 24–37

    Article  CAS  PubMed  Google Scholar 

  15. Gelman R, Gallistel CR (1978) The Child’s Understanding of Number. Cambridge, Mass: Harvard University Press

    Google Scholar 

  16. Jordan NC, Huttenlocher J, Levine SC (1994) Assessing early arithmetic abilities: effects of verbal and non verbal response types on the calculation performance of middle- and low-income children. Learning and Individual Differences 6: 413–432

    Article  Google Scholar 

  17. Mandler G, Shebo BJ (1982) Subitizing: an analysis of its component processes. Journal of Experimental Psychology: General 11: 1–22

    Article  Google Scholar 

  18. Miller KF, Stigler JW (1987) Counting in Taiwanese: cultural variation in a basic cognitive skill. Cognitive Development 2: 279–305

    Article  Google Scholar 

  19. Miura IT, Okamoto Y, Kim CC, Chang CM, Steere M, Fayol M (1994) Comparisons of children’s cognitive representation of number: China, France, Japan, Korea, Sweden, and the United States. International Journal of Behavioral Development 17: 401–411

    Google Scholar 

  20. Nairne JS, Healy AE (1983) Counting backwards produces systematic errors. Journal of Experimental Psychology: General 112: 37–40

    Article  Google Scholar 

  21. Nunes T, Schliemann AD, Carraher DW (1993) Street Mathematics and School Mathematics. Cambridge: Cambridge University Press

    Google Scholar 

  22. Perry M, Van der Stoep SW, Yu SL (1993) Asking questions in first grade mathematics classes: potential influence on mathematical thought. Journal of Educational Psychology 85: 31–40

    Article  Google Scholar 

  23. Shalev RS, Manor O, Amir N, Gross-Tsur V (1993) The acquisition of arithmetic in normal children: assessment by a cognitive model of acalculia. Developmental Medicine Child Neurology 35: 593–601

    Article  CAS  PubMed  Google Scholar 

  24. Stein E (1999) Development of mathematical competences. In: Weinert FE & Schneider W (eds) Individual Development from 3 to 12: Findings from the Munich Longitudinal Study. New York: Cambridge University Press

    Google Scholar 

  25. Stevenson HW, Lee S, Chen C, Stigler JW, Hsu C, Kitamura S (1990) Contexts of achievement. Monographs of the Society for Research in Child Development 55

  26. Stevenson HW, Chen C, Lee S (1993) Mathematics achievement of Taiwanese, Japanese, and American children: ten years later. Science 259: 53–58

    Article  CAS  PubMed  Google Scholar 

  27. Towse JN, Saxton M (1997) Linguistic influences on children’s number concept: methodological and theoretical considerations. Journal of Experimental Child Psychology 66: 362–375

    Article  CAS  PubMed  Google Scholar 

  28. Towse JN, Saxton M (1998) Mathematics across national boundaries: cultural and linguistic perspectives on numerical competence. In: Donlan C (ed) The Development of Mathematical Skills (pp 129–150). Hove: Psychology Press

    Google Scholar 

  29. von Aster M (1994) Developmental dyscalculia in children: review of the literature and clinical validation. Acta Paedopsychiatrica 56: 169–178

    Google Scholar 

  30. von Aster M, Deloche G, Dellatolas G, Meier M (1997) Number processing and calculation in 2nd and 3rd grade school children: a comparative study of French-speaking and German-speaking children. Zeitschrift für Entwicklungspsychologie und Pädagogische Psychologie 24: 151–166

    Google Scholar 

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Dellatolas, G., von Aster, M., Willadino-Braga, L. et al. Number processing and mental calculation in school children aged 7 to 10 years: a transcultural comparison. European Child & Adolescent Psychiatry 9 (Suppl 2), S102–S110 (2000). https://doi.org/10.1007/s007870070003

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