Performance on verbal and mathematical tasks is enhanced when participants shift from using algorithms to retrieving information directly from memory (Siegler, 1988a). However, it is unknown whether a shift to retrieval is involved in dynamic spatial skill acquisition. For example, do athletes mentally extrapolate the trajectory of the ball, or do…

Longitudinal associations of domain-general and numerical competencies with individual differences in children's understanding of fractions were investigated. Children (n = 163) were assessed at 6 years of age on domain-general (nonverbal reasoning, language, attentive behavior, executive control, visual-spatial memory) and numerical (number…

Learning to think spatially in mathematics involves developing proficiency with graphics. This paper reports on 2 investigations of spatial thinking and graphics. The first investigation explored the importance of graphics as 1 of 3 communication systems (i.e. text, symbols, graphics) used to provide information in numeracy test items. The results…

Arithmetic and cognitive skills of children with mathematical difficulties (MD-only), with comorbid reading difficulties (MD-RD), with reading difficulties (RD-only), and normally achieving children were examined at 3 points from Grades 3-4 to Grades 5-6 (age range, 9-13 years). Both MD groups displayed severe weaknesses in 4 domain-specific…

The relationship between verbal and visual-spatial working memory and mathematical computation skill was examined in 98 children and adults with and without mathematical disabilities. A hierarchical regression analysis, when partialing for reading ability, age, and gender influences, showed mathematical computation was better predicted by verbal…

A study investigated the relationship between working memory (WM), declarative strategy knowledge, and math achievement in 111 children with and without mathematical disabilities (MD). Results found verbal and visual-spatial WM, stable verbal strategy choices, and expert strategy choices related to visual-spatial processing all contributed…

Twenty-three computer assisted instructional packages for primary and intermediate/middle levels are listed with sources. Courseware was selected on the basis of high interest and probability of initial success with learning logic, science, social studies, and business areas represented. (DB)