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Development of Number Concepts in Children

Development of Number Concepts in Children. 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. Small Numbers System. Capabilities in adults

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Development of Number Concepts in Children

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  1. Development of Number Concepts in Children

  2. 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

  3. Small Numbers System • Capabilities in adults • Boundaries in infants • Can infants enumerate physical objects and action?

  4. Karen Wynn (1998) • Experimental Variation • 1+1= 1 or 2 • 2-1= 1 or 2

  5. Additional Controls • 1+1= 2 or 3 • 3-1= 2 or 3 • 1-1= 0 or 1 • Rotating Platform Control and Object Tracking Theory

  6. Conclusions • Accumulator Theory • Object File • But what about larger numbers?

  7. Fei Xu (2003) • Disc Test

  8. Disc Test • Area Control • Contour Line Control • Weber Ratio • 2 vs. 4 (small number discrimination) • 4 vs. 8 (large number discrimination) • 2 vs. 3 ?

  9. Results • 4 vs. 8

  10. Results • 2 vs. 4

  11. Conclusions • Number Estimation System • Weber fraction • Output of object tracking system inhibits number estimation system • Object Tracking • Limit 3, maybe 4 objects

  12. 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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