The contribution of the three core components of working memory (WM) to the development of mathematical skills in young children is poorly understood. The relation between specific WM components and Numerical Operations, which emphasize computation and fact retrieval, and Mathematical Reasoning, which emphasizes verbal problem solving abilities in…

The role of visual-spatial operations in nonroutine mathematical problem solving in schoolchildren is investigated through a search of related literature. It is suggested that certain visual-spatial operations are concomitant with the mental processes necessary in problem solving. The following topics are discussed: (1) the importance of problem…

Research designed to determine whether the phenomena observed by Piaget were task specific was performed. The results did not confirm Piaget's notion that topological concepts develop prior to the concepts of Euclidean geometry. (SD)

Piaget's theories concerning the child's development of spatial concepts are considered in comparison with related mathematical concepts. The analysis yielded discrepancies between Piagetian and mathematical use of terms. (SD)

Describes the Agam program, a 36-unit curriculum program to introduce students to basic visual concepts and that applies visual abilities and visual thinking to learning tasks. Describes two units at the third grade level, "Ratio and Proportion" and "Numerical Intuition," and makes observations of the students' learning. (MDH)

Several studies that were directed towards examining the influence of cognitive factors in sex-related differences in mathematics achievement are reported. Specifically, two lines of research were pursued examining: (1) the relationship between different types of visual-spatial skill and mathematics achievement, and (2) the trainability of…