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Making numbers out of magnitudes
Published online by Cambridge University Press: 11 December 2008
Abstract
We argue that number principles may be learnable instead of innate, by suggesting that children acquire probabilistically true number concepts rather than algorithms. We also suggest that non-propositional representational formats (e.g., mental models) may implicitly provide information that supports the induction of numerical principles. Given probabilistically true number concepts, the problem of the acquisition of mathematical principles is eliminated.
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- Copyright © Cambridge University Press 2008