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In defense of intuitive mathematical theories as the basis for natural number

  • David Barner (a1)
Abstract

Though there are holes in the theory of how children move through stages of numerical competence, the current approach offers the most promising avenue for characterizing changes in competence as children confront new mathematical concepts. Like the science of mathematics, children's discovery of number is rooted in intuitions about sets, and not purely in analytic truths.

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References
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Carey, S. (1985) Conceptual change in childhood. Bradford Books/MIT Press.
Husserl, E. (1970) Logical investigations: Vol. 1. Prolegomena to pure logic, trans. Findlay Routledge, J. & Paul, Kegan.
Kant, I. (1781/1934) Critique of pure reason, trans. Meiklejohn, J. M. D.. Everyman (Original work published in 1781).
Piaget, J. (1929/2007) The child's conception of the world. Rowman & Littlefield.
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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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