Problem-solving skills in creative, open-ended domains are both important and little understood. These domains are generally ill-structured, have extremely large exploration spaces, and require high levels of specialized skill in order to produce quality solutions. We investigate problem-solving behavior in one such domain, the…

This article describes 2 experiments conducted with a computer-aided problem-solving tool called BRAIN, involving 30 adults of varying backgrounds and 15 organizational executives. The BRAIN program encourages users to discover partially and fully formulated insights, through iterative generation of word lists and meaningful statements. Eighty…

In order to investigate the relationship between mental imagery and creative problem solving, a study of 44 separate accounts reporting mental imagery experiences associated with creative discoveries were examined. The data included 29 different scientists, among them Albert Einstein and Stephen Hawking, and 9 artists, musicians, and writers,…

Innovation and enterprise depend for their success on the development of new ideas. But from where do new ideas come? How do they arise? Finding solutions to such questions is at the heart of creativity research and the solving of novel problems. Reflection, not only in cognitive processes but also in the non-cognitive ones used in solving novel…

This article outlines a series of investigations in graph theory which simultaneously gives exercises in visualization. It is argued that one of the advantages of classroom investigations is that students can be lead to an intuitive grasp of advanced mathematics. (PK)

Presents a historical overview of visualization as a cognitive strategy in human creativity, discovery, and problem-solving. Highlights include visualization as a cognitive strategy for solving everyday problems; visualization by scientists and inventors; counter examples; and implications for multimedia learning environments, instructional…

Discusses the need for teaching creative thinking in the classroom. Cites two misconceptions to which the absence of emphasis on creative thinking is attributed. Provides strategies and example activities for promoting the skill. States that these procedures can increase student interest in science. (RT)

In the context of exploring educational hypermedia on the World Wide Web, this paper presents a history visualization that helps learners reorganize explored contents to find what Web sites they should visit next. Learning-by-exploration is discussed as it relates to educational hypermedia, including the "Get Lost in Hyperspace" problem,…

A practical guidebook of ideas, lesson materials, and related resources for developing imaginative and productive thinking skills of children is presented to assist teachers and parents. Emphasis is placed on the use of strategies and techniques that enhance originality, mental imagery, reverie, reflection, humor, novel playfulness, and divergent…

Presents activities that utilize representations of the side, front, and top views of three-dimensional configurations of blocks to develop spatial-visualization skills and aspects of the concept of function. Provides worksheets of these open-ended investigations. (MDH)

Describes four activities to develop visualization skills and the concept of dimensionality in which students (1) visualize transforming figures between the second and third dimensions; (2) identify the three-dimensional objects from their two-dimensional projections; (3) conjecture about the vertices, edges, and faces of zero- to four-dimensional…

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" (the "Standards"), provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series…