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How are number words mapped to approximate magnitudes?
Jessica Sullivan1, David Barner
1Department of Psychology, University of California, San Diego, La Jolla, CA 92037, USA. jsulliva@ucsd.edu
Quarterly Journal of Experimental Psychology (2006)
|September 12, 2012
Summary
Adults map number words to magnitudes using associative strategies for small quantities and structural inference for large quantities. This research clarifies how number words connect to nonverbal numerical representations.
Area of Science:
- Cognitive Psychology
- Developmental Psychology
- Numerical Cognition
Background:
- Understanding how number words connect to numerical magnitudes is crucial for cognitive development.
- Previous research has focused on number word learning and estimation, but not the specific mapping mechanisms.
- The link between symbolic number representations (words) and non-symbolic representations (magnitudes) remains underexplored.
Purpose of the Study:
- To investigate the mechanisms adults use to map number words to nonverbal representations of numerical magnitude.
- To differentiate between associative mapping and structure mapping in number-magnitude representation.
- To examine how set size and feedback influence these mapping strategies.
Main Methods:
- Four dot array estimation tasks were employed.
- Participants matched number words to visual dot arrays of varying set sizes.
- Misleading feedback was introduced during an estimation task to assess its influence.
Main Results:
- Adults' accuracy in matching number words to dot arrays decreased as set size increased.
- Estimates for large set sizes were influenced by misleading feedback, unlike estimates for small set sizes.
- Performance suggests different mapping strategies are used for small versus large number words.
Conclusions:
- Both associative and structure mapping mechanisms are vital for linking number words to approximate magnitudes.
- Structure mapping appears dominant for larger number words, while associative mapping is primary for smaller number words.
- These findings illuminate the interplay of inference and association in numerical cognition.
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