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    Muldoon, Kevin Lewis, Charlie and Freeman, Norman 2009. Why set-comparison is vital in early number learning. Trends in Cognitive Sciences, Vol. 13, Issue. 5, p. 203.


Don't throw the baby out with the math water: Why discounting the developmental foundations of early numeracy is premature and unnecessary

  • Kevin Muldoon (a1), Charlie Lewis (a2) and Norman Freeman (a3)
  • DOI:
  • Published online: 11 December 2008

We see no grounds for insisting that, because the concept natural number is abstract, its foundations must be innate. It is possible to specify domain general learning processes that feed into more abstract concepts of numerical infinity. By neglecting the messiness of children's slow acquisition of arithmetical concepts, Rips et al. present an idealized, unnecessarily insular, view of number development.

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E. Margolis & S. Laurence (2008) How to learn the natural numbers: Inductive inference and the acquisition of number concepts. Cognition 106:924–39.

K. Muldoon , C. Lewis & N. H. Freeman (2003) Putting counting to work: Preschoolers' understanding of cardinal extension. International Journal of Educational Research 39:695718.

K. P. Muldoon , C. Lewis & J. Towse (2005) Because it's there! Why children count, rather than infer, corresponding sets. Cognitive Development 20:472–91.

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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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