The approach is to fill positions in a star shape with values from a set so that the sum of each line is equal to the sum of every other line. There are four values in each of five lines. Related problems based on other shapes are noted. (MP)

Activities used with seventh and eighth grade students in Western Australia are described. The instructor guides pupils towards experimental solutions and encourages discovery of solutions for similar and more general problems. Investigations include study and construction of polygons, polyhedra, and one and two-sided surfaces. Commercial kits are…

Geometrical probability deals with probability on infinite sample spaces where each outcome of an experiment is equally likely to occur. Geometry which identifies sample space regions and event subregions leads to a method of finding a desired probability. A collection of problems with solutions is presented. (MP)

Rubik's Cube is viewed as a tool to generate student interest in applying rather sophisticated mathematics to generate some solution algorithms. Discussion begins with the creation of a notation method for the cube and develops into applications of permutations and set concepts. A special "cycle notation" is employed. (MP)

Problems designed to show the meaningful use of logarithms in the age of calculators are presented. The emphasis is placed on viewing a logarithm as an inverse operation to raising to a power. (MP)

An applications problem, which illustrates an important technique in mathematical applications, is presented and discussed. (MK)

The problems involved in making reservations for airline flights is discussed in creating a mathematical model designed to maximize an airline's income. One issue not considered in the model is any public relations problem the airline may have. The model does take into account the issue of denied boarding compensation. (MP)

Calculators are used to compute tables of values in solving problems of maximizing areas. Reproducable worksheets are included. (MP)

Multiple examples of the mathematics involved in photography are given. (MP)

Special ways of using computers as a useful tool in algebra instruction are reviewed, with applications to linear equations featured. (MP)

Discusses laboratory investigations designed to allow students to solve problems without using predetermined mathematical formulas. As a result, laboratory problems force students to think. In addition, some students formulate their own mathematical relationships and enhance their understanding of the connection between mathematics and…

Sources for everyday problems are suggested and examples from newspapers are given. Also included are a sample role-playing situation and six other suggested activities. (MK)

Describes six key practices vital to a problem-centered instructional approach to number sense and computational strategies. Also presents actual classroom examples of strategies. (AIM)

Investigated relation between development of understanding principles that govern a problem and of mathematical strategies used to solve it. Subjects were college students and 2nd, 5th, 8th, and 11th graders. The pattern of estimated answers provided a measure of intuitive understanding of task principles. Understanding an intuitive principle was…

Describes the process of mathematical modeling, an extensive teacher's guide, and a student modeling activity to improve the efficiency of soft-drink packaging. (KHR)