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The Correlation between Distance Effects from Magnitude/Order Comparison and their relationships with math achievement

The Korean Journal of Cognitive and Biological Psychology / The Korean Journal of Cognitive and Biological Psychology, (P)1226-9654; (E)2733-466X
2018, v.30 no.1, pp.53-60
https://doi.org/10.22172/cogbio.2018.30.1.004


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Abstract

There has been growing interest in ordinal representations and their contributions to mathematical cognition. The present study measured distance effects based on magnitude/order comparison (MC/OC, respectively) tasks using symbolic numbers and non-symbolic lines as stimuli. We examined whether distance or reverse distance effects from these tasks are correlated with one another as well as with math achievement. A reverse distance effect (i.e., better performance when the distance between stimuli is smaller) was observed from the Number OC task, while canonical distance effects were observed from the Length OC and MC tasks. There were correlations between distance effects from Number OC and MC tasks, between Length OC and MC tasks and between Number OC and Length MC tasks. Among all, only the reverse distance effect from the Number OC task predicted math achievement scores in a linear regression model. These results suggest that cardinal and ordinal representations may depend on partially shared mechanisms, yet they may independently contribute to math achievement during distinct phases of development.

keywords
서수 표상, 기수 표상, 역 거리 효과, 고전적 거리 효과, 수학 성취도, ordinality, cardinality, reverse distance effect, canonical distance effect, math achievement

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The Korean Journal of Cognitive and Biological Psychology