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Ratio-based perceptual foundations for rational numbers, and perhaps whole numbers, too?
Edward M Hubbard1, Percival G Matthews1
1Department of Educational Psychology, University of Wisconsin-Madison, Madison, WI53706-1796, USA. emhubbard@wisc.edu, https://web.education.wisc.edu/edneurolab/pmatthews@wisc.edu, https://web.education.wisc.edu/pmatthews/.
The Behavioral and Brain Sciences
|December 15, 2021
Summary
The approximate number system (ANS) may not solely represent rational numbers. Evidence suggests a two-systems view of numerical cognition, challenging the idea that the ANS is the primary access point.
Area of Science:
- Cognitive Science
- Psychology
- Neuroscience
Background:
- The ratio processing system (RPS) has been proposed as a component of the approximate number system (ANS).
- The ANS is hypothesized to represent rational numbers, influencing numerical cognition.
Purpose of the Study:
- To evaluate the consistency of existing evidence with the proposed role of the RPS within the ANS.
- To advocate for an alternative theoretical framework for understanding numerical cognition.
Main Methods:
- Critical review of empirical evidence regarding numerical processing.
- Theoretical argumentation based on existing cognitive models.
Main Results:
- Available data are inconsistent with the notion that the RPS is solely a component of the ANS representing rational numbers.
- The findings support a dissociation between different numerical processing systems.
Conclusions:
- A two-systems view of numerical cognition is advocated, proposing multiple access points for numerical information.
- Overemphasis on the ANS as the sole gateway to numerical cognition may be a misconception.
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