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Development of Number Concepts in Children
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Overview Why is this relevant?
How do infants process numbers at 5-6 months? Basis for experimental design: Infants have a tendency to look longer at unexpected results and objects
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Small Numbers System Capabilities in adults Boundaries in infants
Can infants enumerate physical objects and action?
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Karen Wynn (1998) Experimental Variation 1+1= 1 or 2 2-1= 1 or 2
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Additional Controls 1+1= 2 or 3 3-1= 2 or 3 1-1= 0 or 1
Rotating Platform Control and Object Tracking Theory
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Conclusions Accumulator Theory Object File
But what about larger numbers?
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Fei Xu (2003) Disc Test
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Disc Test Area Control Contour Line Control Weber Ratio
2 vs. 4 (small number discrimination) 4 vs. 8 (large number discrimination) 2 vs. 3 ?
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Results 4 vs. 8
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Results 2 vs. 4
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Conclusions Number Estimation System
Weber fraction Output of object tracking system inhibits number estimation system Object Tracking Limit 3, maybe 4 objects
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Interpretations Error extent of data Task Difference
Props General Conclusion: Accumulator vs. object tracking in small numbers Number estimation for large numbers
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