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  1. Constructing a concept of number.Karenleigh Overmann - 2018 - Journal of Numerical Cognition 2 (4):464–493.
    Numbers are concepts whose content, structure, and organization are influenced by the material forms used to represent and manipulate them. Indeed, as argued here, it is the inclusion of multiple forms (distributed objects, fingers, single- and two-dimensional forms like pebbles and abaci, and written notations) that is the mechanism of numerical elaboration. Further, variety in employed forms explains at least part of the synchronic and diachronic variability that exists between and within cultural number systems. Material forms also impart characteristics like (...)
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  • Young Children Intuitively Divide Before They Recognize the Division Symbol.Emily Szkudlarek, Haobai Zhang, Nicholas K. DeWind & Elizabeth M. Brannon - 2022 - Frontiers in Human Neuroscience 16.
    Children bring intuitive arithmetic knowledge to the classroom before formal instruction in mathematics begins. For example, children can use their number sense to add, subtract, compare ratios, and even perform scaling operations that increase or decrease a set of dots by a factor of 2 or 4. However, it is currently unknown whether children can engage in a true division operation before formal mathematical instruction. Here we examined the ability of 6- to 9-year-old children and college students to perform symbolic (...)
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  • Fractions We Cannot Ignore: The Nonsymbolic Ratio Congruity Effect.Percival G. Matthews & Mark R. Lewis - 2017 - Cognitive Science 41 (6):1656-1674.
    Although many researchers theorize that primitive numerosity processing abilities may lay the foundation for whole number concepts, other classes of numbers, like fractions, are sometimes assumed to be inaccessible to primitive architectures. This research presents evidence that the automatic processing of nonsymbolic magnitudes affects processing of symbolic fractions. Participants completed modified Stroop tasks in which they selected the larger of two symbolic fractions while the ratios of the fonts in which the fractions were printed and the overall sizes of the (...)
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  • Task Constraints Affect Mapping From Approximate Number System Estimates to Symbolic Numbers.Dana L. Chesney & Percival G. Matthews - 2018 - Frontiers in Psychology 9.
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