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Robinson, Katherine M.; Dube, Adam K. – Cognitive Development, 2009
Children's understanding of the inversion concept in multiplication and division problems (i.e., that on problems of the form "d multiplied by e/e" no calculations are required) was investigated. Children in Grades 6, 7, and 8 completed an inversion problem-solving task, an assessment of procedures task, and a factual knowledge task of simple…
Descriptors: Problem Solving, Knowledge Level, Early Adolescents, Preadolescents
Blote, Anke W.; Lieffering, Laura M.; Ouwehand, Klasina – Cognitive Development, 2006
This study investigated the development of children's knowledge of many-to-one counting. Four-year-olds ("n" = 51) either participated in a training or in a control group. The training taught children how to allot "Y" physically not present items to each of "X" objects and how to count these items in the process. It…
Descriptors: Computation, Young Children, Mathematical Concepts, Multiplication

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