Computer-enhanced simulation of models permits students to become subjectively involved in interaction with the computer. A method for developing a computer simulation is described, and three examples of computer simulations are given. (JN)

An examination of a student question concerning a calculus problem leads to a discussion of some of the symmetric properties of a specific set of polynomials. (MP)

Argues that children's books that deal with science concepts can help young children make a distinction between what is real and what is imaginary. Annotates a number of fiction books that can be used for this purpose. (FL)

Four stages of problem solving are believed to occur in programing. Spirolaterals are discussed as specific examples of programing activity that have mathematical and programing interest. The BASIC programing language is used on the Apple II computer to provide examples of possible solutions to the problems posed. (MP)

The following ideas are included: (1) solving a quadratic equation geometrically by completing the square, which helped a class of secondary physics students understand the formulas; and (2) a way of teaching factoring of quadratic trinomials that is based on the behavior of odd and even numerals under addition and multiplication. (MP)

An exploration of a problem called solving quadratic congruences modulo p is detailed and is built around an alternate method of deriving the quadratic formula. Three practical pedagogical values that have been experienced by students and instructor when the material was presented to classes are noted. (MP)

Problems and activities are presented for which "I can't do it" or "It can't be done" are the correct responses. Including problems of this type in the curriculum adds a new dimension to students' learning and helps to develop better problem solvers. (Author/MK)

Educational programs that mainly teach present and past knowledge about energy and the environment are limiting and weak. Stressed is the need to use a problem-solving approach as a base for energy and environmental education and several possible teaching strategies for achieving this goal are suggested. (DC)

A list of heuristics for elementary school children is provided. Two examples which are viewed to demonstrate the conscientious and creative use of problem-solving strategies by fourth graders are detailed. Suggestions for teachers on how to help pupils develop their problem-solving abilities are included. (MP)

High school students are warned against service station fraud. A problem-solving section is designed to help students calculate consumer costs for various fraudulent transactions. Several ways of reducing fraud or of lessening the chances of problems are noted. (MP)

Geared to intermediate-grade classroom teachers, a general framework for solving problems is promoted that has the following steps: (1) Get to know the problem, (2) Choose what to do, (3) Do it, and (4) Look back. Ways of using the framework and suggestions for problem-solving resources are included. (MP)

Suggestions for assisting learning disabled (LD) students in decision making are given for determining what information is needed, the correct operation for solving a given problem, and whether an answer is reasonable. (MP)

Research appears to support one major conclusion: problem-solving strategies should be taught. Sections presented are: Why doesn't research tell us what to do? What do we know about problem solving? What can teachers do to help children learn to solve problems? What has recent research affirmed? (MP)

It has been found that students gain much greater insight into routine calculations with business formulas when such work is viewed in the light of graphing concepts. Ten problems are presented that illustrate how three specific objectives in a unit on graphing in a business mathematics course have been met. (MP)

A question-answer format on how specific teacher behaviors influence students' acquisition of information, ability to make information meaningful, and application of meaning to new situations. (Author/MLF)