The method used at airports in determining the cloud height at night is presented. Several problems, the equation used, and a simple design of an alidade (an instrument that shows cloud heights directly) are also included. (MP)

Reviews the types of math problems grade 7 and grade 9 students attempted in class, at home, and on examinations collected during the 1999-2000 school year. Indicates that students were exposed to a variety of problem types, but the level of contextualization was low as was the level of open-endedness of the questions. (Author/KHR)

Analyzes fifth graders' approaches for solving the problem of the distance to the horizon. Describes determining the area bounded by the horizon. (YP)

Presents 14 distinct methods to determine the sine of the angle formed by the line segments joining one vertex of a square to the midpoints of the nonadjacent sides. Nine methods were developed by mathematics club participants preparing for mathematics competitions and the remaining five by faculty members. (MDH)

Presented is the problem of determining alternative schedules for major league baseball. Equations of the schedule, conditions on the solutions, and solutions are discussed. (CW)

An overview of a variety of interesting teaching techniques is given to assist school personnel in strengthening their overall mathematics programs in the first eight grades. The problem-solving approaches recommended are so designed that they should be useful in every subject. The materials could also be used as a basis for teacher in-service…

The message of this article is that there are many types of problems ordinarily requiring advanced techniques or special insight to solve which can now be done as simple programming exercises on inexpensive programmable calculators. Several examples appropriate for the secondary school curriculum are given. These are: (1) evaluating polynomials;…

Many problems and activities which can be worked with a calculator are contained in this booklet. The problems include: pattern recognition, combinations of operations, estimation, squares and square roots, rate problems, area, and volume. Chapter topics include: getting to know the calculator, single-step problems, using formulas, and…

Different groups of college students wrote one solution or many solutions to problems, like the plot-title problem, of verbal, numerical, and pictorial material. Instructions to write many solutions yielded solutions of lower mean quality, but more superior solutions. Information about criteria for good solutions raised quality. Large quantity was…

Five studies were conducted to investigate the relationship between short term memory (STM) and long term memory (LTM), and the relationship between STM and problem solving. In study I, the necessity of postulating separate learning processes for tasks which are traditionally classified as STM tasks as opposed to LTM tasks was investigated.…

Three review segments of the Self-Paced Physics Course materials are provided in this volume which is arranged to match study segments 1 through 14. Each of the three segments is composed of a set of problems and solutions, and accompanied by its own individual study guide. The problem set is designed as a back-referencing system, and the…

Given are activities involving the use of triangles and triangle paper, in the form of problems that require searching for different possibilities to fit a given condition. (MP)

A problem from number theory is used to illustrate the use of the computer and programable calculators in solving problems. Programs are included. (MP)

The article includes a discussion of counting and counting strategies. In addition, there are eight problem sets appropriate for use with groups of different age and ability levels. Suggestions are given for finding variations of the problems. (PK)

This section presents four worksheets for grades 1-8 on problem-solving activities with a "things to do this summer theme." Problems relate to a county fair, a library summer reading program, camp, and summer jobs. (MNS)