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Direct linkRobinson, 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
Dowker, Ann – Cognitive Development, 2009
339 children aged 6 and 7 at Oxford primary schools took part in a study of arithmetic. 204 of the children had been selected by their teachers as having mathematical difficulties and the other 135 children were unselected. They were assigned to an Addition Performance Level on the basis of a calculation pretest, and then given Dowker's (1998)…
Descriptors: Computation, Arithmetic, Teaching Methods, Mathematics Skills
Alibali, Martha W.; Phillips, Karin M. O.; Fischer, Allison D. – Cognitive Development, 2009
Children sometimes solve problems incorrectly because they fail to represent key features of the problems. One potential source of improvements in children's problem representations is learning new problem-solving strategies. Ninety-one 3rd- and 4th-grade students solved mathematical equivalence problems (e.g., 3+4+6=3+__) and completed a…
Descriptors: Experimental Groups, Control Groups, Problem Solving, Learning Strategies
