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From the August 2005 Scientific American Magazine | 0 comments

Mindful of Symbols ( Preview )

On the way to learning that one thing can represent another, young children often conflate the real item and its symbol. These errors show how difficult it is to start thinking symbolically

By Judy S. DeLoache   

 

Educational Ramifications


The concept of dual representation has implications for educational practices as well. Teachers in preschool and elementary school classrooms around the world use "manipulatives"--blocks, rods and other objects designed to represent numerical quantity. The idea is that these concrete objects help children appreciate abstract mathematical principles. But if children do not understand the relation between the objects and what they represent, the use of manipulatives could be counterproductive. And some research does suggest that children often have problems understanding and using manipulatives.

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ABOUT THE AUTHOR(S)
Judy S. DeLoache specializes in early cognitive development--specifically the development of symbolic thinking--at the University of Virginia, where she is William R. Kenan, Jr., Professor of Psychology. DeLoache also holds an appointment in psychology at the University of Illinois at Urbana-Champaign, where she has taught since the late 1970s and where she earned her doctorate. The author thanks the many children and families who have participated in her research.

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