This study compares Singaporean Grade 6 students' performance and strategy preference on two graphic-rich mathematics tasks, presented via pencil-and-paper and iPad modes. There were statistically significant differences between students' performances on the two tasks, one in favour of the paper mode and the other in favour of the iPad. Students…

The role of visual-spatial operations in nonroutine mathematical problem solving in schoolchildren is investigated through a search of related literature. It is suggested that certain visual-spatial operations are concomitant with the mental processes necessary in problem solving. The following topics are discussed: (1) the importance of problem…

Research suggests that when subjects are given a rule as to how to translate auditory or verbal information into images, the images have many common characteristics with cognitive representations derived from visual perceptions. This experiment examined the process of cognitive integration and the similarities and differences between how imagined…

Recent studies have shown perceptual instability to be related to visual creativity as reflected in career choice. In general, those who display greater perceptual instability perceive themselves to be more creative and tend to choose careers related to visual creativity, regardless of their gender. To test the hypothesis that field independents…

This study assessed the bipolarity of cognitive style for 970 clients of the Johnson O'Connor Research Foundation, a vocational guidance service. The 462 male and 508 female examinees were aged 14 to 65 years, with a median age of 24 years. Three cognitive style tests were investigated: (1) the Kagan Matching Familiar Figures Test (KMFFT); (2) the…

The difference in cognitive resources required for imagination and perception was tested in two experiments by examining the reduced substitutability of imagination and perception in problem solving by college undergraduates. Eighty subjects in Experiment 1 drew capital letters from lines or descriptions of lines in a seven-page booklet. The…

Through everyday experience people acquire knowledge about how moving objects behave. For example, if a rock is thrown up into the air, it will fall back to earth. Research has shown that people's ideas about why moving objects behave as they do are often quite inconsistent with the principles of classical mechanics. In fact, many people hold a…

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…

A study was conducted to determine whether chess instruction would change the measure of a student's field-dependence or field-independence as determined by the Group Embedded Figures Test (GEFT) in the direction of stronger field independence. Field dependence/independence is a psychological construct referring to a global versus an analytical…

Aspects of problem-solving measured here are delay of gratification, field-dependence independence, and the relection-impulsivity dimension. The following hypotheses are proposed (1) Those subjects who score high on externality will not delay gratification as those who score low, but they will score lower on measures on field-independence than…

A study determined the effectiveness of computer-aided drafting (CAD) and standard drafting instruction on the ability of students with differing visual-haptic perceptual styles to solve orthographic projection problems. A 2x2x2 factorial design was chosen to compare two levels of perceptual style with two levels of treatment and two levels of…

The development of a HyperCard application program, "Connecting to Your MARS Account," is described. The program was intended to assist users of the biomedical computer system at the University of Pittsburgh (Pennsylvania), the Medical ARchival System (MARS), to connect to their computer accounts. Criteria from instructional, graphical,…

Theoretical tools from cognitive science were used to put together a framework for a fine-grained theory of how students learn elementary algebra in the classroom. Developing the framework included assessing the shortcomings of current models, evaluating whether unified theories of cognition can be adapted for learning mathematics in the…