Three examples of problems that can be adapted to different grade levels and abilities and used to help children develop problem-solving skills are discussed. Some of the specific approaches recommended for teachers in helping students to find solutions are detailed with each example. (MP)

Lessons given to a group of mathematically talented eleventh and twelfth graders enrolled in a problem-solving course that provided practice in applying the heuristic strategy of working backward are detailed. Special attention was given to the process of formulating generalizations that represent large problem classes. (MP)

This guide focuses on the role of problem solving in developing mathematical concepts of young children, selected problem situations or tasks for engaging children in problem solving, and criteria designed to provide a guide to teachers and parents of young children in formulating appropriate problem-solving situations. (MP)

Ideas are presented regarding: (1) unique learning activities for students who have difficulty with operations with signed numbers; (2) a mathematical inspection of a unique card trick that can be expressed as an equation; and (3) sketching of graphs of composite trigonometric functions. (MP)

Wind chill is detailed and noted as an estimate of how cold the wind makes a person feel in cold weather. A worksheet master that provides a table of temperatures and wind speeds is provided along with a set of problems. Answers to the brief question set are provided. (MP)

This report illustrates how high school statistics students at the junior and senior year level utilize the TRS-80 microcomputer and the Level II BASIC programing language to handle computations of a least squares problem, where an equation is fitted to empirical data. (MP)

Some ways of thinking and acting geometrically are described which are related to the approach used by ancient humans. The focus is on intuitive geometric imagery, an attempt to resurrect a way of describing possible viewpoints of geometry outside of those commonly accepted. (MP)

An approach to teaching pupils the long division algorithm that relies heavily on a consistent and logical approach to estimation is reviewed. Once learned, the division estimator can be used to support the standard repeated subtraction algorithm. (MP)

Problems focusing on number theory that can make good use of the calculator in discovering and proving simple theorems are proposed. The focus is on the properties of subtracting the smaller of a three digit number and its mirror number from the larger in a process that leads to zero. (MP)

A procedure for constructing a magic cube is presented, with related teaching activities appropriate for students familiar or unfamiliar with the algorithm covered. (MP)

A model that can be effectively used to develop the notion of function and provide varied practice by using "real world" examples and concrete objects is covered. The use of Popsicle-sticks is featured, with some suggestions for tasks involving functions with one operation, two operations, and inverse operations covered. (MP)

Four ideas dealing with applications of telling time are featured. Activities covered include sequencing routine daily events, scheduling appointments, watching television, and calculating elapsed time across time zones. Worksheets suitable for duplication are provided. The activities are considered practical and adaptable to problem-solving…

Monte Carlo methods are used to simulate activities in baseball such as a team's "hot streak" and a hitter's "batting slump." Student participation in such simulations is viewed as a useful method of giving pupils a better understanding of the probability concepts involved. (MP)

Some patterns in prime numbers and their implications for general theorems are presented. Much of the material is taken from "The Strong Law of Small Numbers," an unpublished paper by Richard Kenneth Guy. (MP)

Results of mathematics education research in problem solving activities of third-grade children are covered. The assumption that the horizontal number sentence is a useful tool for solving verbal problems is questioned. (MP)