Addition and subtraction by human infants

  title={Addition and subtraction by human infants},
  author={Karen Wynn},
  • K. Wynn
  • Published 27 August 1992
  • Computer Science, Medicine
  • Nature
HUMAN infants can discriminate between different small numbers of items1–4, and can determine numerical equivalence across perceptual modalities5,6. This may indicate the possession of true numerical concepts1,4–7. Alternatively, purely perceptual discriminations may underlie these abilities8,9. This debate addresses the nature of subitization, the ability to quantify small numbers of items without conscious counting10,11. Subitization may involve the holistic recognition of canonical… Expand
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  • Journal of Child Language
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Large-Number Addition and Subtraction by 9-Month-Old Infants
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and symbolic representations. We just saw that comparing and counting numerosities does not yet imply the mastery of an abstract concept of number (see Shettleworth, 1998, p. 369). However, there isExpand
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These findings provide evidence that the emergence of the earliest numerical abilities does not depend upon the development of language or complex actions, or upon cultural experience with number, as well as a sensitivity to numerosity, an abstract property of collections of objects and events. Expand
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This finding indicates that some number capacity is present before the onset of verbal counting, and it suggests that verbal counting may have precursors present during infancy. Expand
Infant perception of numerosity.
The results suggest that early counting skills are preceded by a more perceptual awareness of numerosity, similar to that seen in preverbal infants. Expand
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  • E. Spelke
  • Psychology, Computer Science
  • Cogn. Sci.
  • 1990
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  • K. Wynn
  • Psychology
  • Cognitive Psychology
  • 1992
This paper examines how and when children come to understand the way in which counting determines numerosity and learn the meanings of the number words. A 7-month longitudinal study of 2 and 3 yearExpand
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40 healthy, normal newborn infants were evaluated with reference to their ability to discriminate among visual stimulus arrays consisting of 2 versus 3 or 4 versus 6 black dots. Infants made thisExpand
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  • M. Chi, D. Klahr
  • Psychology, Medicine
  • Journal of experimental child psychology
  • 1975
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Detection of intermodal numerical correspondences by human infants.
This finding indicates that infants possess a mechanism that enables them to obtain information about number. Expand