Six bonuses that students and teachers experience when using calculators are described. Then problem solving and creative problem-making are discussed, followed by practical suggestions for teachers who want to try calculators. Advice on personalizing the use of calculators and recognizing some of their limitations is also included. (MNS)

Solutions to a problem on seating arrangements and one on a box-office situation are discussed; a statistical approach is used. Four computer programs are included. (MNS)

Examines principles which can be applied to determine how hints can be used effectively in problem-solving. Conscious and unconscious hints, timing of hints, expected functions, and teaching are discussed. Conscious hints are explained in detail with suggestions and references. Charts are included for types, timing, and expected functions. (DH)

The author arranges 26 current states of mathematical knowledge (in relation to solving a problem) in an informal taxonomy and comments on them. (MNS)

One mathematician's view of real problems is given. Described (with some humor) are magic retail numbers, the highway bypass, the elliptical table, and the senior-class schedule. (MNS)

Using questions to help students think mathematically and solve problems is discussed. The teacher's role is described, with a classroom example involving questions about a specific problem. (MNS)

One view of mathematical thinking is described, followed by detailing of the characteristics of a problem-solving program necessary to develop this kind of thinking. (MNS)

The author uses Stella the Spider as the main character in a number of three-dimensional geometry problems. Eight of these problems are discussed, with solutions. (MNS)

Use of the computer to simulate or imitate probability problems that are difficult to analyze in any other way is discussed. How the Monte Carlo method works is clarified, with sample problems and programs. (MNS)

A problem-solving strategy that appears to be highly successful is having children write their own word problems. The stages of prewriting, writing, rewriting and revising, and publication are each discussed. (MNS)

Two activities are presented. The first involves geometric concepts using the alphabet, while the second is a game to provide practice in finding factors of composite numbers. (MNS)

The skill of asking appropriate intermediate questions during problem solving is discussed. Several problems and other classroom activities are also presented. (MNS)

A one-semester course at the third-year level at York University is described. It tries to legitimize in students' eyes that it makes sense to talk about mathematics as well as do mathematics. Seven course themes are discussed, followed by nine problems used in the course. (MNS)

Discusses activities involved in a six-hour workshop program on creativity. Also describes: (1) sources of background information on creativity; (2) ways to evaluate skills in creativity; (3) articles and ideas on creativity and problem-solving, including predictors of problem-solving success; and (4) how to find time to teach problem-solving. (JN)

Using data about companies with which children have first-hand experience (such as McDonald's or Mattel Toys) piques interest in graphing activities. How the project is developed, with group and individual activities, is described. (MNS)