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Spatial Proportional Reasoning Is Associated With Formal Knowledge About Fractions

Möhring, Wenke and Newcombe, Nora and Levine, Susan and Frick, Andrea. (2016) Spatial Proportional Reasoning Is Associated With Formal Knowledge About Fractions. Journal of Cognition and Development, 17 (1). pp. 67-84.

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Official URL: http://edoc.unibas.ch/45129/

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Abstract

Proportional reasoning involves thinking about parts and wholes (i.e., about fractional quantities). Yet, research on proportional reasoning and fraction learning has proceeded separately. This study assessed proportional reasoning and formal fraction knowledge in 8- to 10-year-olds. Participants (N = 52) saw combinations of cherry juice and water in displays that highlighted either part–whole or part–part relations. Their task was to indicate on a continuous rating scale how much each mixture would taste of cherries. Ratings suggested the use of a proportional integration rule for both kinds of displays, although more robustly and accurately for part–whole displays. The findings indicate that children may be more likely to scale proportional components when being presented with part–whole as compared with part–part displays. Crucially, ratings for part–whole problems correlated with fraction knowledge, even after controlling for age
Faculties and Departments:07 Faculty of Psychology > Departement Psychologie > Forschungsbereich Persönlichkeits- und Entwicklungspsychologie > Entwicklungs- und Persönlichkeitspsychologie (Grob)
UniBasel Contributors:Möhring, Wenke
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Taylor & Francis
ISSN:1524-8372
e-ISSN:1532-7647
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:09 Oct 2017 12:59
Deposited On:09 Oct 2017 12:59

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