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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Clements, Douglas H. Sarama, Julie and Germeroth, Carrie 2016. Learning executive function and early mathematics: Directions of causal relations. Early Childhood Research Quarterly, Vol. 36, p. 79.

    Kolkman, Meijke E. Kroesbergen, Evelyn H. and Leseman, Paul P.M. 2013. Early numerical development and the role of non-symbolic and symbolic skills. Learning and Instruction, Vol. 25, p. 95.

    Sasanguie, Delphine Göbel, Silke M. Moll, Kristina Smets, Karolien and Reynvoet, Bert 2013. Approximate number sense, symbolic number processing, or number–space mappings: What underlies mathematics achievement?. Journal of Experimental Child Psychology, Vol. 114, Issue. 3, p. 418.

    Krysztofiak, Wojciech 2012. Indexed Natural Numbers in Mind: A Formal Model of the Basic Mature Number Competence. Axiomathes, Vol. 22, Issue. 4, p. 433.

    Butterworth, Brian 2011. Space, Time and Number in the Brain.

    Butterworth, Brian 2010. Foundational numerical capacities and the origins of dyscalculia. Trends in Cognitive Sciences, Vol. 14, Issue. 12, p. 534.


Set representations required for the acquisition of the “natural number” concept

  • Justin Halberda (a1) and Lisa Feigenson (a1)
  • DOI:
  • Published online: 11 December 2008

Rips et al. consider whether representations of individual objects or analog magnitudes are building blocks for the concept natural number. We argue for a third core capacity – the ability to bind representations of individuals into sets. However, even with this addition to the list of starting materials, we agree that a significant acquisition story is needed to capture natural number.

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S. Dehaene & J. P. Changeux (1993) Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neuroscience 5:390407.

L. Feigenson & J. Halberda (2004) Infants chunk object arrays into sets of individuals. Cognition 91:173–90.

C. R. Gallistel & R. Gelman (2000) Non-verbal numerical cognition: From reals to integers. Trends in Cognitive Sciences 4:5965.

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Behavioral and Brain Sciences
  • ISSN: 0140-525X
  • EISSN: 1469-1825
  • URL: /core/journals/behavioral-and-brain-sciences
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