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Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA

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Relational Priming Based on a Multiplicative Schema for Whole Numbers and Fractions.

Melissa DeWolf¹, Ji Y Son², Miriam Bassok³

¹Department of Psychology, University of California, Los Angeles.

Cognitive Science

|January 18, 2017

Summary

This summary is machine-generated.

Adults can leverage the structure of fractions for better relational reasoning, especially when math ability is high or perceptual similarity is present for lower math ability individuals. This highlights componential processing benefits.

Keywords:

Mathematical cognition Rational numbers Relational priming

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Area of Science:

Cognitive Psychology
Mathematics Education
Numerical Cognition

Background:

Adults can utilize the bipartite structure of fractions for improved performance in relational tasks compared to decimals.
Understanding how this componential processing of fractions impacts cognitive tasks is crucial.

Purpose of the Study:

To investigate relational priming effects when processing fractions in arithmetic computations.
To examine how math ability and perceptual similarity influence fraction processing.

Main Methods:

College students judged the correctness of fraction multiplication equations.
Structurally inverse fraction equations were used as primes.
Experiments manipulated perceptual similarity between numbers in equation pairs.

Main Results:

Students with high math ability showed relational priming regardless of perceptual similarity.
Students with low math ability exhibited priming only with high perceptual similarity.
Boundary conditions for relational priming with fractions were identified.

Conclusions:

Componential processing of fractions benefits relational multiplication tasks.
Fraction notation's connection to whole number multiplicative schemas aids processing.
Cognitive strategies for fraction understanding can be enhanced through structural awareness.