PSYCHOLOGICAL SCIENCE Research Article Does Subitizing Reflect Numerical Estimation?

Subitizing is the rapid and accurate enumeration of small sets (up to 3–4 items). Although subitizing has been studied extensively since its first description about 100 years ago, its underlying mechanisms remain debated. One hypothesis proposes that subitizing results from numerical estimation mechanisms that, according to Weber's law, operate with high precision for small numbers. Alternatively, subitizing might rely on a distinct process dedicated to small numerosities. In this study, we tested the hypothesis that there is a shared estimation system for small and large quantities in human adults, using a masked forced-choice paradigm in which participants named the numerosity of displays taken from sets matched for discrimination difficulty; one set ranged from 1 through 8 items, and the other ranged from 10 through 80 items. Results showed a clear violation of Weber's law (much higher precision over numerosities 1–4 than over numerosities 10–40), thus refuting the single-estimation-system hypothesis and supporting the notion of a dedicated mechanism for apprehending small numerosities.

[1]  Philippe Pinel,et al.  Tuning Curves for Approximate Numerosity in the Human Intraparietal Sulcus , 2004, Neuron.

[2]  S. Dehaene Symbols and quantities in parietal cortex: elements of a mathematical theory of number representation and manipulation , 2007 .

[3]  S. Dehaene,et al.  Dissociable mechanisms of subitizing and counting: neuropsychological evidence from simultanagnosic patients. , 1994, Journal of experimental psychology. Human perception and performance.

[4]  E. Spelke,et al.  Language and Conceptual Development series Core systems of number , 2004 .

[5]  C. Gallistel,et al.  Preverbal and verbal counting and computation , 1992, Cognition.

[6]  Stanislas Dehaene,et al.  Development of Elementary Numerical Abilities: A Neuronal Model , 1993, Journal of Cognitive Neuroscience.

[7]  Z. Pylyshyn,et al.  Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. , 1994, Psychological review.

[8]  S. Dehaene,et al.  Single-trial classification of parallel pre-attentive and serial attentive processes using functional magnetic resonance imaging , 2003, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[9]  T. Oyama,et al.  Span of attention, backward masking, and reaction time , 1981, Perception & psychophysics.

[10]  Rochel Gelman,et al.  Subitizing: The preverbal counting process. , 1991 .

[11]  Rochel Gelman,et al.  Variability signatures distinguish verbal from nonverbal counting for both large and small numbers , 2001, Psychonomic bulletin & review.

[12]  Wim Fias,et al.  Representation of Number in Animals and Humans: A Neural Model , 2004, Journal of Cognitive Neuroscience.

[13]  Stanislas Dehaene,et al.  Calibrating the mental number line , 2008, Cognition.

[14]  C. Gallistel,et al.  Nonverbal Counting in Humans: The Psychophysics of Number Representation , 1999 .