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A “sense of magnitude” requires a new alternative for learning numerical symbols

Published online by Cambridge University Press:  27 July 2017

Delphine Sasanguie
Affiliation:
Brain and Cognition Research Unit, Faculty of Psychology and Educational Sciences, KU Leuven, 3000 Leuven, [email protected] Faculty of Psychology and Educational Sciences, KU Leuven Kulak, 8500 Kortrijk, [email protected]://www.numcoglableuven.be
Bert Reynvoet
Affiliation:
Brain and Cognition Research Unit, Faculty of Psychology and Educational Sciences, KU Leuven, 3000 Leuven, [email protected] Faculty of Psychology and Educational Sciences, KU Leuven Kulak, 8500 Kortrijk, [email protected]://www.numcoglableuven.be

Abstract

Leibovich et al. proposed that the processing of numerosities is based primarily on a “sense of magnitude.” The consequences of this proposal for how numerical symbols acquire their meaning are, however, neglected. We argue that symbols cannot be learned by associating them with a system that is not yet able to derive discrete numbers accurately because of immature cognitive control.

Type
Open Peer Commentary
Copyright
Copyright © Cambridge University Press 2017 

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References

Anderson, P. (2002) Assessment and development of executive function (EF) during childhood. Child Neuropsychology 8(2):7182.Google Scholar
Carey, S. (2009) Where our number concepts come from. Journal of Philosophy 106:220–54.Google Scholar
Davidson, K., Eng, K. & Barner, D. (2012) Does learning to count involve a semantic induction? Cognition 123:162–73.Google Scholar
Defever, E., Reynvoet, B. & Gebuis, T. (2013) Task and age dependent effects of visual stimulus properties on children's explicit numerosity judgments. Journal of Experimental Child Psychology 116:216–33.Google Scholar
Dehaene, S. (2001) Précis of the number sense. Mind and Language 16:1636.Google Scholar
Gebuis, T., Cohen Kadosh, R. & Gevers, W. (2016) Sensory-integration system rather than approximate number system underlies numerosity processing: A critical review. Acta Psychologica 171:1735.Google Scholar
Gebuis, T. & Reynvoet, B. (2012b) The interplay between nonsymbolic number and its continuous visual properties. Journal of Experimental Psychology: General 141(4):642–48. doi: 10.1037/a0026218.Google Scholar
Halberda, J., Mazzocco, M. M. & Feigenson, L. (2008) Individual differences in non-verbal number acuity correlate with maths achievement. Nature 455(7213):665–68. doi: 10.1038/nature07246.Google Scholar
Krajcsi, A., Lengyel, G. & Kojouharova, P. (2016) The source of the symbolic numerical distance and size effects. Frontiers in Psychology 7:1795. doi: 10.3389/fpsyg.2016.01795.CrossRefGoogle ScholarPubMed
Reynvoet, B. & Sasanguie, D. (2016) The symbol grounding problem revisited: A thorough evaluation of the ANS mapping account and the proposal of an alternative account based on symbol–symbol associations. Frontiers in Psychology 7:1581. doi: 10.3389/fpsyg.2016.01581.Google Scholar
Sasanguie, D., De Smedt, B., Defever, E. & Reynvoet, B. (2012) Association between basic numerical abilities and mathematics achievement. British Journal of Developmental Psychology 30:344–57.Google Scholar
Sasanguie, D., De Smedt, B. & Reynvoet, B. (2017) Evidence for distinct magnitude systems for symbolic and non-symbolic number. Psychological Research 81(1):231–42. doi: 10.1007/s00426-015-0734-1.CrossRefGoogle ScholarPubMed
Smets, K., Sasanguie, D., Szücs, D. & Reynvoet, B. (2015) The effect of different methods to construct non-symbolic stimuli in numerosity estimation and comparison. Journal of Cognitive Psychology 27(3):310–25. doi: 10.1080/20445911.2014.996568.CrossRefGoogle Scholar
Szücs, D., Nobes, A., Devine, A., Gabriel, F. C. & Gebuis, T. (2013) Visual stimulus parameters seriously compromise the measurement of approximate number system acuity and comparative effects between adults and children. Frontiers in Psychology 4:444. doi:10.3389/fpsyg. 2013.00444.Google Scholar