More than 50 years ago, Bongard introduced 100 visual concept learning problems as a challenge for artificial vision systems. These problems are now known as Bongard problems. Although they are well known in cognitive science and artificial intelligence, only very little progress has been made toward building systems that can solve a substantial…

This article uses diagrams that help the observer see how solutions of the wave equation and heat conduction equation are obtained. The analytical approach cannot necessarily show the mechanisms of the key to the solution without transforming the differential equation into a more convenient form by separation of variables. The visual clues based…

Five experiments involving a total of 44 college students addressed the effects of intercomponent consistency on skill acquisition in a class of cognitively demanding tasks requiring rapid integration of information and rapid application of rules. The role of consistency of external stimulus-to-rule linkage in facilitating learning and performing…

Learning sets programs were administered to preschool deaf children from a variety of representative educational programs throughout the southwest to improve their visual perception skills. The concept of learning sets was described as progression from trial-and-error learning to immediate problem solving by insight. The project consisted of six…

Kindergarten children were exposed to a behavior modification training activity involving perceptual scanning, which was designed to increase the field-independent mode of perception. The training was evaluated, based upon a group of 18 experimental subjects and a control group of 17 children. Subjects in the training group were individually…

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…