Difficulties in mathematics are argued to stem from impairments of a specialized system of numerical magnitude representation. This study investigates whether different measures of numerical magnitude understanding in kindergarten uniquely predict mathematical achievement concurrently and 6 months later, and also examines the relative explanatory…

The paired-associate learning of 52 fourth graders was related to measures of cognitive ability obtained the previous year. Subjects were administered the paired-associate task under one of three variations: at a comfortable rate with standard instructions; at a comfortable rate with a potentially effective learning strategy (visual imagery); and…

Evidence for suggested basic differences in the abstract reasoning capacity of Negro and Caucasian children includes consistent findings of significantly poorer performance by Negroes on Raven's Progressive Matrices (PM). This study investigated the PM performance of Negro children taught algebra via a discovery method of instruction. It was…

Results of two studies using the Esper paradigm to determine development of rule application and discovery are reported. Subjects learned and generalized when rule and structure were provided, but there was little evidence of rule discovery. Manipulations of memory and attention facilitated learning, but only attention facilitated rule discovery.…