Addition and subtraction by human infants

@article{Wynn1992AdditionAS,
  title={Addition and subtraction by human infants},
  author={Karen Wynn},
  journal={Nature},
  year={1992},
  volume={358},
  pages={749-750}
}
  • 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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References

SHOWING 1-10 OF 15 REFERENCES
Numerical abstraction by human infants
TLDR
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
Perception of numbers by human infants.
TLDR
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.
TLDR
The results suggest that early counting skills are preceded by a more perceptual awareness of numerosity, similar to that seen in preverbal infants. Expand
Principles of Object Perception
  • E. Spelke
  • Psychology, Computer Science
  • Cogn. Sci.
  • 1990
TLDR
Findings suggest that a general representation of object unity and boundaries is interposed between representations of surfaces and representations of objects of familiar kinds, related to processes of physical reasoning. Expand
Children's acquisition of the number words and the counting system
  • 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
Perception of numerical invariance in neonates.
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
Visual perception of numerosity in infancy.
Numerosity was defined as an invariant property of a collection of objects specifying its numerical size. Infants looked at displays of small numerosities that changed optic structure such that sizeExpand
The organization of learning
How do animals represent space, time, number and rate? From insects to humans, Charles Gallistel explores the sophisticated computations performed in these ubiquitous yet neglected domains of animalExpand
Span and rate of apprehension in children and adults.
  • M. Chi, D. Klahr
  • Psychology, Medicine
  • Journal of experimental child psychology
  • 1975
TLDR
Although the results for adults and children are similar except for the overall rates, the nature of the isomorphism between children and adults is unclear. Expand
Detection of intermodal numerical correspondences by human infants.
TLDR
This finding indicates that infants possess a mechanism that enables them to obtain information about number. Expand
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