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The innateness hypothesis and mathematical concepts

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Abstract
In historical claims for nativism, mathematics is a paradigmatic example of innate knowledge. Claims by contemporary developmental psychologists of elementary mathematical skills in human infants are a legacy of this. However, the connection between these skills and more formal mathematical con¬cepts and methods remains unclear. This paper assesses the current debates surrounding nativism and mathematical knowledge by teasing them apart into two distinct claims. First, in what way does the experimental evidence from infants, nonhuman animals and neuropsychology support the nativist hypothesis? Second, grant¬ing that infants have some elementary mathematical skills, does this mean that such skills play an important role in the development of mathematical knowledge?
Keywords
NUMERICAL COGNITION, SUBTRACTION, NUMBER REPRESENTATION, KNOWLEDGE, CHILDREN, INFANTS, SCIENCE, WORDS, Innate knowledge, Nativism, Mathematical knowledge, Developmental psychology, Arithmetic

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MLA
De Cruz, Helen, and Johan De Smedt. “The Innateness Hypothesis and Mathematical Concepts.” TOPOI-AN INTERNATIONAL REVIEW OF PHILOSOPHY, edited by Leon Horsten and Irina Starikova, vol. 29, no. 1, 2010, pp. 3–13.
APA
De Cruz, H., & De Smedt, J. (2010). The innateness hypothesis and mathematical concepts. TOPOI-AN INTERNATIONAL REVIEW OF PHILOSOPHY, 29(1), 3–13.
Chicago author-date
De Cruz, Helen, and Johan De Smedt. 2010. “The Innateness Hypothesis and Mathematical Concepts.” Edited by Leon Horsten and Irina Starikova. TOPOI-AN INTERNATIONAL REVIEW OF PHILOSOPHY 29 (1): 3–13.
Chicago author-date (all authors)
De Cruz, Helen, and Johan De Smedt. 2010. “The Innateness Hypothesis and Mathematical Concepts.” Ed by. Leon Horsten and Irina Starikova. TOPOI-AN INTERNATIONAL REVIEW OF PHILOSOPHY 29 (1): 3–13.
Vancouver
1.
De Cruz H, De Smedt J. The innateness hypothesis and mathematical concepts. Horsten L, Starikova I, editors. TOPOI-AN INTERNATIONAL REVIEW OF PHILOSOPHY. 2010;29(1):3–13.
IEEE
[1]
H. De Cruz and J. De Smedt, “The innateness hypothesis and mathematical concepts,” TOPOI-AN INTERNATIONAL REVIEW OF PHILOSOPHY, vol. 29, no. 1, pp. 3–13, 2010.
@article{911486,
  abstract     = {{In historical claims for nativism, mathematics is a paradigmatic example of innate knowledge. Claims by contemporary developmental psychologists of elementary mathematical skills in human infants are a legacy of this. However, the connection between these skills and more formal mathematical con¬cepts and methods remains unclear. This paper assesses the current debates surrounding nativism and mathematical knowledge by teasing them apart into two distinct claims. First, in what way does the experimental evidence from infants, nonhuman animals and neuropsychology support the nativist hypothesis? Second, grant¬ing that infants have some elementary mathematical skills, does this mean that such skills play an important role in the development of mathematical knowledge?}},
  author       = {{De Cruz, Helen and De Smedt, Johan}},
  editor       = {{Horsten, Leon and Starikova, Irina}},
  issn         = {{0167-7411}},
  journal      = {{TOPOI-AN INTERNATIONAL REVIEW OF PHILOSOPHY}},
  keywords     = {{NUMERICAL COGNITION,SUBTRACTION,NUMBER REPRESENTATION,KNOWLEDGE,CHILDREN,INFANTS,SCIENCE,WORDS,Innate knowledge,Nativism,Mathematical knowledge,Developmental psychology,Arithmetic}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{3--13}},
  title        = {{The innateness hypothesis and mathematical concepts}},
  url          = {{http://dx.doi.org/10.1007/s11245-009-9061-8}},
  volume       = {{29}},
  year         = {{2010}},
}

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