Recent literature on learning with instructional manipulatives seems to call for a moderate
view on the effects of perceptual and interactive richness of instructional manipulatives on …

Mathematical word problems are widely recognized as essential tools for assessing the
practical application of mathematical knowledge among students. This study endeavors to …

Humans sometimes have an insight that leads to a sudden and drastic performance
improvement on the task they are working on. Sudden strategy adaptations are often linked …

We compared knowledge of fraction concepts and procedures among sixth and eighth
graders in China and the United States. As anticipated, Chinese middle school children had …

Traditionally measured skills with arithmetic are not related to later algebra success at levels
that would be expected given the close conceptual relation between arithmetic and algebra …

This longitudinal study examines the relative importance of counting ability, additive
reasoning, and working memory in children's mathematical achievement (calculation and …

Adaptivity with arithmetic problem solving is a key aspect in the long-term development of
mathematical skills, and the knowledge of numerical characteristics and relations is a core …

Adaptive expertise is a highly sought after, but difficult to achieve, outcome of mathematics
education. Many teaching methods appear to support the development of adaptive expertise …

Forty-four children between 6; 0 and 7; 11 took part in a study of derived fact strategy use.
They were assigned to addition and subtraction levels on the basis of calculation pretests …

Coherence-building is a key concept for a better understanding of the underlying
mechanisms of intuition and insight problem solving. There are several accounts that …