Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Proposes the use of humor and the personalization of word problems by inserting students' names in the problem statement as methods of gaining students' attention. Illustrates their use in a mixture problem and the Tower of Hanoi problem. (MDH)

The premise of the Creative Technology Project, a collaboration by Autodesk, Inc., the School of Education at Oregon State University, and Novato Unified School District in the San Francisco Bay Area, was that children's cognitive abilities could be enhanced by having them develop, displace, transform, and interact with 2D and 3D…

For decades, every chemical engineer has been asked to have a background in separations. The required separations course can, however, be uninspiring and superficial because understanding many separation processes involves conventional graphical methods and commercial process simulators. We utilize simple, user-­friendly mathematical software,…

Young children's responses to a velocity inference task based on static pictorial stimuli giving cues of proximity and ratio were examined. Subjects (N=65) in preschool through second grade viewed pictures of snails moving horizontally or spiders suspended vertically and were asked to estimate which competitor would reach its destination first.…

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 paper discusses the differences between spatial and sequential learning, characteristics of individuals who exhibit stronger visual-spatial learning, and strategies for teaching children with visual-spatial strengths. Techniques include: (1) using visual aids, such as overhead projectors, and visual imagery in lectures; (2) using manipulative…

In the study reported here, I examined the diagrams that mathematically capable high school students produced in solving applied calculus problems in which a diagram was provided in the problem statement. Analyses of the diagrams contained in written solutions to selected free-response problems from the 1996 BC level Advanced Placement Calculus…

This workbook for students in grades 3 through 5 is designed to help them understand how stress affects the body and to show them various positive ways of coping with stress in daily life. Fifteen lessons include definitions of stress, relaxation exercises, visualization techniques, problem-solving approaches, dealing with conflicts, the necessity…

One purpose of this research is to develop models of cognitive processes in understanding mechanical systems. A particular focus was on the processes in mentally animating the representation of a mechanical system, and the contribution of animation graphics in comprehension. Several studies, involving eye fixations, verbal protocols, and process…

This dissertation presents the results of an investigation of visual mental imagery as a strategy hypothesized to increase the amount of interaction with content material and therefore the level of information processing and acquisition, and to assist information retrieval on posttests. Four treatments were used in a crossed, randomized two by two…

This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches to problems about convergence of sequences and series made by students who have a tendency to include visual imagery in their reasoning. We explore…

This guide encourages a learning environment that allows for creativity. Creative theory, assessment, and talent identification information is given. Student activities are presented to encourage creative problem solving, dispel myths and misunderstandings about creativity, provide exercises in brainstorming, creative thinking, and making cross…

A program for teaching children and adults the thinking skills most important in everyday life is described. This program, which has been tried out and evaluated in the United States, France, Germany, England, Australia, Japan, and Israel, is needed in every school and community as a "gymnasium for the mind," to help people fully use their natural…

This study identified and examined the validity of a Brunerian theory-based, aptitude-enhancing, standardized educational simulation by assessing spatial visualization ability of students assigned to simulation and non-simulation treatment groups. Results indicate the simulation increased high aptitude learners' efficiency (and initially…