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Numerical abstractness and elementary arithmetic

Published online by Cambridge University Press:  27 August 2009

Jamie I. D. Campbell
Affiliation:
Department of Psychology, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5A5, Canada. jamie.campbell@usask.caarron.metcalfe@usask.cahttp://artsandscience.usask.ca/psychology/people/detail.php?bioid=212
Arron W. S. Metcalfe
Affiliation:
Department of Psychology, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5A5, Canada. jamie.campbell@usask.caarron.metcalfe@usask.cahttp://artsandscience.usask.ca/psychology/people/detail.php?bioid=212

Abstract

Like number representation, basic arithmetic seems to be a natural candidate for abstract instantiation in the brain. To investigate this, researchers have examined effects of numeral format on elementary arithmetic (e.g., 4+5 vs. four+five). Different numeral formats often recruit distinct processes for arithmetic, reinforcing the conclusion that number processing is not necessarily abstracted away from numeral format.

Type
Open Peer Commentary
Copyright
Copyright © Cambridge University Press 2009

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References

Barsalou, L. W. (2008) Grounded cognition. Annual Review of Psychology 59:617–45.CrossRefGoogle ScholarPubMed
Bassok, M., Pedigo, S. F. & Oskarsson, A. T. (2008) Priming addition facts with semantic relations. Journal of Experimental Psychology: Learning, Memory, and Cognition 34:343–52.Google ScholarPubMed
Campbell, J. I. D. & Alberts, N. A. (in press) Operation-specific effects of numerical surface form on elementary calculation. Journal of Experimental Psychology: Learning, Memory, and Cognition.Google Scholar
Campbell, J. I. D. & Epp, L. J. (2005) Architectures for arithmetic. In: The handbook of mathematical cognition, ed. Campbell, J. I. D., pp. 347–60. Psychology Press.CrossRefGoogle Scholar
Campbell, J. I. D., Parker, H. R. & Doetzel, N. L. (2004) Interactive effects of numerical surface form and operand parity in cognitive arithmetic. Journal of Experimental Psychology: Learning, Memory, and Cognition 30:5164.Google ScholarPubMed
Campbell, J. I. D. & Penner-Wilger, M. (2006) Calculation latency: The μ of memory and the τ of transformation. Memory and Cognition 34:217–26.Google Scholar
Clark, J. M. & Campbell, J. I. D. (1991) Integrated versus modular theories of number skills and acalculia. Brain and Cognition 17:204–39.CrossRefGoogle ScholarPubMed
Dehaene, S., Dehaene-Lambertz, G. & Cohen, L. (1998a) Abstract representations of numbers in the animal and human brain. Trends in Neurosciences 21:355–61.CrossRefGoogle ScholarPubMed
Dehaene, S., Molko, N., Cohen, L. & Wilson, A. J. (2004) Arithmetic and the brain. Current Opinion in Neurobiology 14:218–24.CrossRefGoogle ScholarPubMed
Dehaene, S., Piazza, M., Pinel, P. & Cohen, L. (2003) Three parietal circuits for number processing. Cognitive Neuropsychology 20(3–6):487506.CrossRefGoogle ScholarPubMed
McCloskey, M. & Macaruso, P. (1995) Representing and using numerical information. American Psychologist 50:351–63.CrossRefGoogle ScholarPubMed
McNeil, J. E. & Warrington, E. K. (1994) A dissociation between addition and subtraction with written calculation. Neuropsychologia 32:717–28.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 19:1027.CrossRefGoogle ScholarPubMed
Venkatraman, V., Ansari, D. & Chee, M. W. L. (2005) Neural correlates of symbolic and non-symbolic arithmetic. Neuropsychologia 43:744–53.CrossRefGoogle ScholarPubMed