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De Brauwer, Jolien; Fias, Wim – Developmental Psychology, 2009
The authors investigated the performance on simple multiplication and division problems of 8-year-old children longitudinally to determine the developmental trajectories of both operations. Twice a year, during 2 consecutive school years, children performed a multiplication and division verification task and a number-matching task. All effects…
Descriptors: Multiplication, Young Children, Longitudinal Studies, Arithmetic
Outhred, Lynne; Mitchelmore, Michael – International Group for the Psychology of Mathematics Education, 2004
This paper presents the results of a study of the structural development of young students' drawings of arrays, and in particular, the significance of using lines instead of drawing individual squares. Students' array drawings were classified on basis of numerical properties, and perceived structural similarities that reflected the spatial…
Descriptors: Cognitive Development, Spatial Ability, Elementary School Students, Mathematics Instruction