Cognitive Science 41 (8):2053-2088 (2017)
Abstract |
Why might it be beneficial for adults to process fractions componentially? Recent research has shown that college-educated adults can capitalize on the bipartite structure of the fraction notation, performing more successfully with fractions than with decimals in relational tasks, notably analogical reasoning. This study examined patterns of relational priming for problems with fractions in a task that required arithmetic computations. College students were asked to judge whether or not multiplication equations involving fractions were correct. Some equations served as structurally inverse primes for the equation that immediately followed it. Students with relatively high math ability showed relational priming both with and without high perceptual similarity. Students with relatively low math ability also showed priming, but only when the structurally inverse equation pairs were supported by high perceptual similarity between numbers. Several additional experiments established boundary conditions on relational priming with fractions. These findings are interpreted in terms of componential processing of fractions in a relational multiplication context that takes advantage of their inherent connections to a multiplicative schema for whole numbers.
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Keywords | Mathematical cognition Rational numbers Relational priming |
Categories | (categorize this paper) |
DOI | 10.1111/cogs.12468 |
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References found in this work BETA
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Conceptual Structure and the Procedural Affordances of Rational Numbers: Relational Reasoning with Fractions and Decimals.Melissa DeWolf, Miriam Bassok & Keith J. Holyoak - 2015 - Journal of Experimental Psychology: General 144 (1):127-150.
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Citations of this work BETA
Dissociation Between Magnitude Comparison and Relation Identification Across Different Formats for Rational Numbers.Maureen E. Gray, Melissa DeWolf, Miriam Bassok & Keith J. Holyoak - 2018 - Thinking and Reasoning 24 (2):179-197.
Learning and expertise with scientific external representations: an embodied and extended cognition model.Prajakt Pande - 2020 - Phenomenology and the Cognitive Sciences 20 (3):463-482.
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