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Beyond format-specificity: Is analogue magnitude really the core abstract feature of the cultural number representation?

Published online by Cambridge University Press:  27 August 2009

Dénes Szűcs ,
Fruzsina Soltész  and
Usha Goswami
Dénes Szűcs
Affiliation:
Centre for Neuroscience in Education, University of Cambridge, Cambridge CB2 8PQ, United Kingdom. [email protected]://www.educ.cam.ac.uk/people/staff/szucs/[email protected]@cam.ac.ukhttp://www.educ.cam.ac.uk/people/staff/goswami/
Fruzsina Soltész
Affiliation:
Centre for Neuroscience in Education, University of Cambridge, Cambridge CB2 8PQ, United Kingdom. [email protected]://www.educ.cam.ac.uk/people/staff/szucs/[email protected]@cam.ac.ukhttp://www.educ.cam.ac.uk/people/staff/goswami/
Usha Goswami
Affiliation:
Centre for Neuroscience in Education, University of Cambridge, Cambridge CB2 8PQ, United Kingdom. [email protected]://www.educ.cam.ac.uk/people/staff/szucs/[email protected]@cam.ac.ukhttp://www.educ.cam.ac.uk/people/staff/goswami/
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Abstract

The issue of abstractness raises two distinct questions. First, is there a format-independent magnitude representation? Second, does analogue magnitude really play a crucial role in the development of human mathematics? We suggest that neither developmental nor cultural studies support this notion. The field needs to redefine the properties of the core number representation as used in human arithmetic.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 32 , Issue 3-4 , August 2009 , pp. 352 - 353
Copyright
Copyright © Cambridge University Press 2009

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References

Brannon, E. M. & Van de Walle, G. A. (2001) The development of ordinal numerical competence in young children. Cognitive Psychology 43:53–58.CrossRefGoogle ScholarPubMed
Cohen Kadosh, R., Cohen Kadosh, K., Kaas, A., Henik, A. & Goebel, R. (2007b) Notation-dependent and -independent representations of numbers in the parietal lobes. Neuron 53(2):307–14.CrossRefGoogle ScholarPubMed
Dehaene, S. (1997) The number sense. Oxford University Press.Google Scholar
Halberda, J., Mazzocco, M. M. M. & Feigenson, L. (2008) Individual differences in non-verbal number acuity correlate with math achievement. Nature 455(7213):665–68.CrossRefGoogle Scholar
Mix, K. S. (1999) Similarity and numerical equivalence: Appearances count. Cognitive Development 67:1592–608.Google Scholar
Mix, K. S., Huttenlocher, J. & Levine, S. C. (1996) Multiple cues for quantification in infancy: Is number one of them? Psychological Bulletin 128:278–94.CrossRefGoogle Scholar
Naccache, L. & Dehaene, S. (2001a) The priming method: Imaging unconscious repetition priming reveals an abstract representation of number in the parietal lobes. Cerebral Cortex 11(10):966–74.CrossRefGoogle ScholarPubMed
Piazza, M., Pinel, P., Le Bihan, D. & Dehaene, S. (2007) A magnitude code common to numerosities and number symbols in human intraparietal cortex. Neuron 53(2):293–305.CrossRefGoogle ScholarPubMed
Pica, P., Lemer, C., Izard, V. & Dehaene, D. (2004) Exact and approximate arithmetic in an Amazonian indigene group. Science 306:496–99.CrossRefGoogle Scholar
Pinel, P., Piazza, M., Le Bihan, D. & Dehaene, S. (2004) Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron 41(6):983–93.CrossRefGoogle ScholarPubMed
Rousselle, L., Palmers, E. & Noël, M. P. (2004) Magnitude comparison in preschoolers: What counts? Influence of perceptual variables. Journal of Experimental Child Psychology 87:57–84.CrossRefGoogle ScholarPubMed
Szűcs, D. & Csépe, V. (2004) Access to numerical information is dependent on the modality of stimulus presentation in mental addition: A combined ERP and behavioral study. Cognitive Brain Research 19:10–27.CrossRefGoogle ScholarPubMed
Szűcs, D., Soltész, F., Jármi, É. & Csépe, V. (2007) The speed of magnitude processing and executive functions in controlled and automatic number comparison in children: An electro-encephalography study. Behavioral and Brain Functions 3(23). (Online journal).CrossRefGoogle ScholarPubMed