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Norton, Stephen J. – International Group for the Psychology of Mathematics Education, 2005
The development of proportional reasoning has long been recognised as a central but problematic aspect of mathematics learning. In a Year 6 teaching intervention the part/whole notion of fractions was distinguished from the part: part notion of ratio, and the "between" and "within" relationships in ratio were emphasised.…
Descriptors: Mathematics Education, Mathematical Concepts, Number Concepts, Arithmetic

Wright, Bob – Australian Journal of Education, 1992
It is argued that Australian elementary mathematics curricula have been influenced by earlier British and United States educational movements and theories and are out of touch with current research emphasizing a constructivist approach. A new model of young children's numerical development is offered, and recommendations for improving mathematical…
Descriptors: Arithmetic, Child Development, Cognitive Processes, Comparative Education