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Manches, Andrew; O'Malley, Claire – Cognition and Instruction, 2016
This article focuses on how the representational properties of manipulatives affect the strategies children employ in problem solving. Two studies examined the effect of physical materials on 4-7-year-old children's problem solving strategies in a numerical (i.e., additive composition) task. The first study showed how children not only identified…
Descriptors: Manipulative Materials, Object Manipulation, Young Children, Problem Solving
Yawkey, Thomas Daniels – 1975
This article discusses the challenge mathematics educators face in deciding what and how mathematics is to be taught, and offers some suggestions for teachers of young children based on Piaget's developmental theory of mathematics. Piaget's cognitive stages are briefly described and the concrete stage, which spans the age range included in early…
Descriptors: Arithmetic, Classification, Cognitive Processes, Developmental Stages

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