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Gravemeijer, Koeno; Bruin-Muurling, Geeke; Kraemer, Jean-Marie; van Stiphout, Irene – Mathematical Thinking and Learning: An International Journal, 2016
This article offers a reflection on the findings of three PhD studies, in the domains of, respectively, subtraction under 100, fractions, and algebra, which independently of each other showed that Dutch students' proficiency fell short of what might be expected of reform in mathematics education aiming at conceptual understanding. In all three…
Descriptors: Foreign Countries, Mathematics Education, Educational Change, Mathematics Skills
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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