Three worksheets are provided to help secondary students explore relationships among the areas of a variety of similar figures constructed on the sides of right triangles. The activity is extended to include the relationship among the lengths of the sides of the right triangle. Included are several student worksheets. (DC)

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…

The book "Productive Thinking", by Gestalt psychologist Max Wertheimer, was published over 50 years ago, yet it continues to wield influence. The book's argument on productive thinking, and why it is still relevant today, are the focus of this paper. Productive thinking involves going from a situation of bewilderment or confusion about some issue…

This booklet uses both words and photographs to describe behavior patterns typical of children from one to two years old and to suggest home play activities appropriate for use with children of this age. The booklet is organized into four age ranges: 12-15 months, 15-18 months, 18-21 months, and 21-24 months. Within each of these sections, a…

Reported is a study demonstrating the effects of acknowledgment of success as related to self-concept, problem solving behavior, or science concept development of seventh-grade students. Forty-nine students were randomly assigned to either the experimental group (those who received acknowledgment of successful autonomous discovery) or the control…

The author describes eight diagnostic categories which serve as an heuristic approach to diagnosing the client's needs and ability to respond to specific appraoches in therapy/counseling. He reviews classic theories and recent counseling approaches and their variations. The paper focuses on the need to determine individual needs and follow a…

Critical thinking alone is reactive, in that it lacks the creative elements necessary for social progress. Accordingly, the author has developed the CoRT (Cognitive Research Trust) program to teach the two aspects of perception: breadth (developing a perceptual map) and change (using the map to discover solutions). (TE)

A one-to-one teaching session with a student is described and analyzed in an attempt to communicate how student attempts at discovery in mathematics can be thwarted by teachers who do not allow room for creativity. (MP)

Two studies were conducted, one using 80 university students and the other 140 fifth through seventh graders, to examine the relationship between problem-solving strategies (leaping and flexibility) and measures of insight and scholastic aptitude. Relationships among insight, leaping, and quantitative scholastic aptitude were found. A…

The ecological issues of pollution, overpopulation, and conservation can be explained in the classroom through the use of creative play, problem solving, and discovery methods among groups of young children. Activities for teaching the topics of air, water, land, and noise pollution; overpopulation; and conservation are suggested. (DG)

A problem-solving approach is developed for secondary or college students to estimate the number of piano tuners in a large city. The answer and method are analyzed for appropriateness. Four similar problems are suggested. (DC)

The Young Scholars' Program of the National Science Foundation is designed to stimulate and extend the interests in science and mathematics of students entering grades 7 through 12. An additional goal of the program is to encourage them to investigate and pursue careers in science, mathematics, engineering, and technology. The program strongly…

Adding to the benefits of using metaphors as tools, "analoguing" (a method of analysis that focuses on metaphors for meanings in use and meanings of metaphors in use) helps avoid excessive categorization and separation by looking for unities and patterns in phenomena rather than for divisions. Six months of observation of patterns of…

The contemporary mathematics program set forth in this publication developed as a result of experimentation and evaluation in classroom situations. This is Part 2 of "Mathematics: 8th Year." Part 1, a separate bulletin, was published during the school year 1967-68. The materials in this bulletin are intended to serve as guidelines for…