Cognitive Science 41 (8):2053-2088 (2017)

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.
Keywords Mathematical cognition  Rational numbers  Relational priming
Categories (categorize this paper)
DOI 10.1111/cogs.12468
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 68,916
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

View all 7 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Relational Priming: Obligational Nitpicking.Varol Akman - 2008 - Behavioral and Brain Sciences 31 (4):378-379.
Relational Processing in Conceptual Combination and Analogy.Zachary Estes & Lara L. Jones - 2008 - Behavioral and Brain Sciences 31 (4):385-386.
Analogy is Priming, but Relations Are Not Transformations.Fintan J. Costello - 2008 - Behavioral and Brain Sciences 31 (4):382-383.
Growing Cognition From Recycled Parts.Robert Leech, Denis Mareschal & Richard P. Cooper - 2008 - Behavioral and Brain Sciences 31 (4):401-414.


Added to PP index

Total views
33 ( #343,027 of 2,497,995 )

Recent downloads (6 months)
1 ( #428,301 of 2,497,995 )

How can I increase my downloads?


My notes