Analogies between topics in algebra and in arithmetic are noted. It is suggested that algebra teachers should consider how to take advantage of student backgrounds in arithmetic by exploiting these analogies. (MP)

This report explains the mathematical origin of the Annual Percentage Rate (APR) approximation often used in elementary Business Mathematics courses. (MP)

A problem considered an interesting challenge to students with a good command of algebra and trigonometry is presented. (MP)

An approach to teaching geometry is promoted that allows students to decide for themselves what they could prove from given information. Such an approach allows pupil involvement in the personal process of discovering mathematical ideas and formulating problems. It is noted these methods will not work for all. (MP)

Teachers are encouraged to have pupils examine the symmetry of crystals when instruction is given on three-dimensional geometry and polyhedra. Crystals are noted to provide students with three-dimensional applications of transformational geometry, and the pupils also learn mineral identification. Suppliers of mineral models and specimens are…

These exercises are designed to expose students to the nature and effects of inflation and consumption rates. Pupils are expected to see how long it takes for costs to increase to certain levels, and how quickly various growth rates can deplete a finite resource. Worksheets suitable for duplication are provided. (MP)

A problem that is seen to allow room for student discovery and exploration is detailed. A discussion starts with an examination of the generation of a general equation for the sum of a set of consecutive integers, and leads to an exploration of more complex sums. (MP)

Gifted 11- to 14-year-olds from all parts of the country participated last summer in fast-paced three-week programs in mathematics, writing, or science sponsored by Johns Hopkins University. (Author/MLF)

A class of seldom-seen real-world applications of high school mathematics is described. The problems considered are viewed as more substantial than ordinary word problems and thus are thought to require a greater commitment of time and energy. Suggestions for student extensions of the project are made. (MP)

The construction of a pentagon is divided into three problems, designed to enhance the traditional high school geometry class. The material is seen to serve as a potential springboard for many other activities. It is felt most students could not realistically be expected to solve the third problem by themselves. (MP)

The unmarked protractor appears to have been ignored in considerations of construction tools other than the standard straightedge and compass. Some geometric problems are presented which are designed to be done using only the unmarked protractor. They are thought to provide challenges to better students. (MP)

An approach to the instruction of maxima and minima problems that works with tools of geometry and algebra is presented. The focus is on a classic pie-cutting problem, which is viewed as an interesting and instructive task that is an excellent application of transformation geometry. (MP)

The mathematics of an educational game commonly known as "Frogs" is analyzed to see different mathematical concepts imbedded in it. (MP)

The mathematics for a lunar shuttle landing simulation is discussed using equations, charts and tables. (MP)

Data from the second mathematics assessment of the National Assessment of Educational Progress (NAEP) appear to clearly document that serious inequities exist in the mathematics education of Black and Hispanic students in the United States. (MP)