The development of children's relational thinking in intensive and comparative extensive quantity settings

This thesis examines the factors that contribute to children's difficulties with relational thinking about intensive quantities. To achieve this, a series of studies were conducted in which children's performance on intensive quantity problems is compared with performance on comparable ext...

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Bibliographic Details
Main Author: Bell, Daniel David
Published: Oxford Brookes University 2008
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.495672
Description
Summary:This thesis examines the factors that contribute to children's difficulties with relational thinking about intensive quantities. To achieve this, a series of studies were conducted in which children's performance on intensive quantity problems is compared with performance on comparable extensive quantity problems. Sufficient evidence was found with non-computational problems to argue that understanding intensive quantities as a quantity expressed as a ratio presents children with a unique challenge, which cannot be explained solely by the need to work with inverse relations. The educational implications of these findings and future directions for research are discussed.