Learning natural numbers is conceptually different than learning counting numbers

Behavioral and Brain Sciences 31 (6):667-668 (2008)
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Abstract

How children learn number concepts reflects the conceptual and logical distinction between counting numbers, based on a same-size concept for collections of objects, and natural numbers, constructed as an algebra defined by the Peano axioms for arithmetic. Cross-cultural research illustrates the cultural specificity of counting number systems, and hence the cultural context must be taken into account

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Dwight Read
University of California, Los Angeles

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Philosophy of mathematics: structure and ontology.Stewart Shapiro - 1997 - New York: Oxford University Press.

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