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Ratio-based perceptual foundations for rational numbers, and perhaps whole numbers, too?

Published online by Cambridge University Press:  15 December 2021

Edward M. Hubbard Open the ORCID record for Edward M. Hubbard [Opens in a new window]  and
Percival G. Matthews Open the ORCID record for Percival G. Matthews [Opens in a new window]
Edward M. Hubbard
Affiliation:
Department 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/
Percival G. Matthews
Affiliation:
Department 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/
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Abstract

Clarke and Beck suggest that the ratio processing system (RPS) may be a component of the approximate number system (ANS), which they suggest represents rational numbers. We argue that available evidence is inconsistent with their account and advocate for a two-systems view. This implies that there may be many access points for numerical cognition – and that privileging the ANS may be a mistake.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 44 , 2021 , e192
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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References

Binzak, J. V., Matthews, P. G., & Hubbard, E. M. (submitted). Holistic magnitude processing of symbolic fractions and nonsymbolic ratios.Google Scholar
Bonn, C. D., & Cantlon, J. F. (2017). Spontaneous, modality-general abstraction of a ratio scale. Cognition 169:36–45.CrossRefGoogle ScholarPubMed
Chuang, Y. S., Hubbard, E. M., & Austerweil, J. L. (2020). The “Fraction Sense” Emerges from a Deep Convolutional Neural Network Proceedings of the 42nd Annual Meeting of the Cognitive Science Society (pp. 1207–1213). Cognitive Science Society.Google Scholar
Cochrane, A., Cui, L., Hubbard, E. M., & Green, C. S. (2019). “Approximate number system” training: A perceptual learning approach. Attention, Perception & Psychophysics 81(3):621–636. doi: 10.3758/s13414-018-01636-w.CrossRefGoogle ScholarPubMed
Gilchrist, A. L. (Ed.). (2013). Lightness, brightness and transparency. Psychology Press.CrossRefGoogle Scholar
Jacob, S. N., Vallentin, D., & Nieder, A. (2012). Relating magnitudes: The brain's code for proportions. Trends in Cognitive Sciences 16(3):157–166.CrossRefGoogle ScholarPubMed
Lewis, M. R., Matthews, P. G., & Hubbard, E. M. (2015). Neurocognitive architectures and the nonsymbolic foundations of fractions understanding. In: Development of mathematical cognition-neural substrates and genetic influences, eds. Berch, D. B., Geary, D. C. and Koepke, K. M., pp. 141–160. Elsevier. ISBN: 978-0128018712.Google Scholar
Matthews, P. M., Lewis, M. R., & Hubbard, E. M. (2016). Individual differences in nonsymbolic ratio processing predict symbolic math performance. Psychological Science 27(2):191–202. doi: 10.1177/0956797615617799.CrossRefGoogle ScholarPubMed
Park, Y., & Matthews, P. G. (in press). Revisiting and refining relations between nonsymbolic ratio processing and symbolic math achievement. Journal of Numerical Cognition.Google Scholar
Park, Y., Viegut, A. A., & Matthews, P. G. (2020). More than the sum of its parts: Exploring the development of ratio magnitude vs. simple magnitude perception. Developmental Science, e13043.Google Scholar
Yamakawa, M., Tsujimura, S. I., & Okajima, K. (2019). A quantitative analysis of the contribution of melanopsin to brightness perception. Scientific Reports 9:7568, https://doi.org/10.1038/s41598-019-44035-3.CrossRefGoogle ScholarPubMed