title: Individual Differences in Nonsymbolic Ratio Processing Predict Symbolic Math Performance.
abstract: What basic capacities lay the foundation for advanced numerical cognition? Are there basic nonsymbolic abilities that support the understanding of advanced numerical concepts, such as fractions? To date, most theories have posited that previously identified core numerical systems, such as the approximate number system (ANS), are ill-suited for learning fraction concepts. However, recent research in developmental psychology and neuroscience has revealed a ratio-processing system (RPS) that is sensitive to magnitudes of nonsymbolic ratios and may be ideally suited for supporting fraction concepts. We provide evidence for this hypothesis by showing that individual differences in RPS acuity predict performance on four measures of mathematical competence, including a university entrance exam in algebra. We suggest that the nonsymbolic RPS may support symbolic fraction understanding much as the ANS supports whole-number concepts. Thus, even abstract mathematical concepts, such as fractions, may be grounded not only in higher-order logic and language, but also in basic nonsymbolic processing abilities.
authors.affiliation: Department of Educational Psychology, University of Wisconsin-Madison pmatthews@wisc.edu.
authors.forename: Percival G
authors.initials: PG
authors.lastname: Matthews
authors.affiliation: Department of Educational Psychology, University of Wisconsin-Madison.
authors.forename: Mark Rose
authors.initials: MR
authors.lastname: Lewis
authors.affiliation: Department of Educational Psychology, University of Wisconsin-Madison.
authors.forename: Edward M
authors.initials: EM
authors.lastname: Hubbard
mesh_terms: D000293:Adolescent; D032882:Comprehension / Q000502:physiology*; D005260:Female; D006801:Humans; D007206:Individuality; D008297:Male; D055641:Mathematical Concepts; D011340:Problem Solving / Q000502:physiology*; D011581:Psychological Tests; D055815:Young Adult
keywords: educational psychology; individual differences; mathematical ability; number comprehension; perception