Background: In the last decades, children's understanding of mathematical principles has become an important research topic. Different from the commutativity and inversion principles, only few studies have focused on children's understanding of the addition/subtraction complement principle (if a - b = c, then c + b = a), mainly relying on verbal…

Reports three experiments with kindergartners and first graders which used one-trial multidimensional reasoning tasks like those of Toppino (Journal of Experimental Child Psychology, v30, p496-512, 1980). Feedback information and preliminary experience with simple forms of the task produced high performance levels, and verbal labeling in the…

Discusses research on cognitive styles and strategies. Groups labels into two principle styles. Describes the wholist-analytic style, examining whether an individual tends to process information in wholes or parts, and the verbalizer-imager style considering whether an individual is inclined to represent information during thinking verbally or in…

This paper presents a historical overview of visualization as a human problem-solving tool. Visualization strategies, such as mental imagery, pervade historical accounts of scientific discovery and invention. A selected number of historical examples are presented and discussed on a wide range of topics such as physics, aviation, and the science of…