Examines the relationship between visualization and the middle school mathematics curriculum. Gives an overview of where and how visualization interacts with the curriculum. Investigates the role of visualization in developing inductive/deductive and proportional reasoning. (YP)

Studied children's transitive inference where representation of premises provided contradictory information depending on position of two elements in a A, B, C series. Eight-year olds did significantly better on the more complex problems than did six-year olds, suggesting the presence of a developmental sequence of algorithms that enable children…

Investigates the relationship between the strategies used by preservice elementary teachers in geometric problem solving and two primary mental abilities--spatial visualization and formal reasoning. Reports that the two abilities were related to problem-solving performance, and the strategies used were related to achievement in the geometry…

Five- to six-year-old children estimated the size of Euclidian objects using an addition rule of Height plus Width, rather than a multiplying rule. Within the framework of information integration theory, tested whether intensive handling of objects would facilitate shift from addition rule to multiplication rule. Found that following handling,…

Investigates gender differences and the role of spatial visualization in problem solving in high school geometry. Reports that, whereas males and females differed in spatial visualization and in their performance, they did not differ in logical reasoning ability or in their use of geometric problem-solving strategies. (Author)

Confirmatory Factor Analysis was used to test first- and second-order factor models on cognitive abilities and their invariance across male and female samples. Subjects were a stratified random sample of 234 male and 225 female 15-year-old students in Singapore attending Secondary 3 (the equivalent of grade 9). Four first-order factors were found…