There is a consensus that certain cognitive abilities and mathematics performance are related. This link also extends to geometry. Surprisingly, however, little research has examined specific aspects of cognition that may contribute to successful performance in geometry, particularly at the secondary level. In this study, we explored in what ways,…

An aptitude-strategy interaction in linear syllogistic reasoning was tested on 144 undergraduate and graduate students of both sexes. It was hypothesized that the efficiency of each of four alternative strategies--control, visual, algorithmic, and mixed--would depend upon the subjects' pattern of verbal and spatial abilities. Two tests of verbal…

This investigation analyzed sex-related and age-related differences on spatial visualization tasks, reasoning tasks, and mathematical problem-solving tasks; and the effects instruction in visual thinking would have on these differences. Students in fifth grade, ninth grade, and in college, were tested before and after twelve weeks of instruction…