How set theory, combinatorics, probability, and the study of algorithms can be used in solving two problems is described in detail. Three computer programs are listed. (MNS)

Sifts through confusing intelligence theories, arguing that intelligence is a combination of influences involving power, tactics, and content. Good thinking is an unnatural act demanding evenhanded reasoning, problem finding (versus solving), and knowledge as invention. Discusses thinking frames guiding thought processes and the implications for…

The article is designed to help parents and teachers understand the nature and causes of underachievement and to show them how to work more effectively with underachieving gifted students. Guidelines focus on ways to share problem solving. (Author/CL)

Appreciating the power and beauty of mathematical thought should be an integral component of a student's mathematical education. The meaning of aesthetics in the realm of mathematical reasoning, the relationship of aesthetics to problem solving, the results of two studies, and recommendations for developing aesthetics are included. (MNS)

A possible method of derivation of prescriptions for solving problems, found in Babylonian cuneiform texts, is presented. It is a kind of "geometric algebra" based mainly on one figure and the manipulation of or within various areas and segments. (MNS)

Describes the Educational Opportunity Program of Northern Illinois University's adaptation of an administrative planning decision making program called the Delphi concensus seeking process. (MD)

More children are killed outside their school buses than inside. To solve this problem, we should improve bus design, provide driver training programs for all school bus drivers, utilize the latest safety devices available, and improve ridership safety curriculum. (MLF)

Suggests our society strongly needs thinking that is constructive, generative, and organizing; describes an educational program, CoRT (Cognitive Research Trust), which teaches creative thinking as a skill; and presents reasons for teaching thinking as a specific subject area. (MBR)

The author identifies and describes what he regards as 25 of the most significant outcomes or products of 25 years of creativity research. Some were selected for the influence they have had on educational practices; others were selected for their potential in making a difference in future educational practice. (JN)

Suggests using episodes from the history of mathematics as source material for mathematical investigations, particularly for use in teaching problem solving. Representative examples are included. (JN)

Argues that discipline must be conceptualized as a problem solving process that includes problem identification, problem analysis, intervention, and evaluation. Discusses each of these points in detail. (FL)

A letter from a parent about a homework assignment involving much repetition (and time) is used as the vehicle to discuss the problem. (MNS)

This paper presents teaching strategies and examples developed for a two-semester sequence in quantitative problem solving, specifically outlining a non-calculus derivation of linear regression formulas supported by the graphical display of the TI-83 calculator to visualize the minimization of the sum-squared vertical distances. The paper…

This booklet includes a wheel of problem solving strategies and a seven-step process for approaching and solving complicated problems. The information provided gives students a variety of ways to approach, analyze, and think critically about mathematics problems. The chapters present guides to promoting critical thinking in cooperative groups…

This paper describes research into the framework of Computer Analysis Relationship (CAR) and its methodology together with software such as Scientific Notebook in a teaching and learning problem-solving environment to support student investigation as well as to enhance student logical thinking. CAR aims to motivate students how to subdivide a…