Properties of the harmonic number triangle are listed, and ways of generating the elements of harmonic triangles are described. (MNS)

Several mathematical problems designed to provide motivation for the application of mathematics to practical situations in sports and industry are presented. (MP)

A series of lessons designed to promote problem-solving skills by encouraging students to write programs is presented. All samples of solutions are written in BASIC. (MP)

Problem-solving activities of one form or another are encouraged at all times, with problem-solving lessons recommended at least every 10 to 12 days throughout the year. A number of ways to carry out such a heavy schedule are outlined. (MP)

An approach to problem solving broader than the traditional one most often used by instructors is described and recommended. Implementation of these ideas has the potential of increasing problem solving ability of students while promoting a fuller appreciation of the value of the process. (MP)

A class activity is detailed in which alternative designs for glasses are examined. The goal is to design a glass which is built tilted, so that beer can be poured in without creating a foam problem. The activity is viewed as one leading to interesting questions. (MP)

Allowing students to use a polystyrene cutter to fashion their own three-dimensional models is suggested as a means of allowing individuals to experience problems and develop ideas related to solid geometry. A list of ideas that can lead to mathematical discovery is provided. (MP)

Advocates elementary math instruction that uses realistic problems or examples and that teaches children to think. Suggests methods for accomplishing these objectives, including the use of mathematical games. (SJL)

Some potential difficulties involved in using "real-life situations" in teaching problem solving are illustrated with a racing car problem. The importance of developing mental images and the ability to abstract in the solution process is indicated. (MP)

Students were encouraged to explore the concept of one million. A short pretest revealed many pupils could not easily comprehend a million. Research and practical investigations began to find "a million things." All students were reported to come through these experiences with a much better understanding. (MP)

Three questions dealing with hypothesis testing are presented. Activities that can be best worked with calculators as tools are detailed and suggestions for extensions of these problems are given. (MP)

The use of the computer in problem solving situations is profiled. Sample lessons for beginning, intermediate, and advanced students are presented along with possible programs for a variety of computers using BASIC. (MP)

A unique problem solving activity involving student lockers in a junior high school is presented. The activity embodies numerous mathematical concepts and has successfully motivated pupils to explore related mathematical ideas. (MP)

The current state of computers in mathematics education is discussed. Aspects of new technology available to mathematics teachers include high resolution color graphics, the potential for making computer films, and the use of computers in working out or helping in problem solving. (MP)

Ideas are presented for using candy M & M's as materials to teach mathematics. Six different activities are reviewed. (MP)