Discusses the nature of electronic spreadsheets and their educational applications. These applications focus on rule guessing, functions, the binomial series, slopes, functions of functions, difference equations, simultaneous equations, and two-dimensional fields. (JN)

Factorials are discussed, with note of the enormous size on n! even for modest values of n. A recreational problem to determine the number of zeros at the end of numbers such as 10,000! is given, with a computer program. (MNS)

Computers can be programmed to produce increasingly complex line drawings. Through programming activities students can learn the geometric principles involved. (SD)

Results of a study involving 94 preservice elementary teachers suggest the instruction students in such programs should be given to develop computer literacy. A model for computer education which consists of four stages is presented in detail. It is recommended that all preservice elementary teachers go through the first two. (MP)

Examples, exercises, and solutions involving compound growth are contributed that emphasize the areas of lending, borrowing, and investing. It is felt these areas present a wealth of opportunities for mathematical modeling, the development of algorithms, and practical applications, and can be fully explored throughout typical secondary…

The use of exercises that students can perform independently of any calculating aids and in a reasonably brief space of time is promoted, so that pupils can concentrate on the processes involved and any relationships of interest. Some examples are presented with the goal of increasing learning promoted. (MP)

This article considers the sum of a finite geometric series as applied to numeric data storage in the memory of an electronic digital computer. The presentation is viewed as relevant to programing in several languages and removes some of the mystique associated with syntax constraints that any language imposes. (MP)

People are noted as intrigued for centuries by interplay between algebra and geometry with many important advances viewed to have come down through some sort of linking of the two. Examples are given of advantages to learning and discovery that can be found in an investigative approach combining them. (Author/MP)

Problems involving multicolored cubes are discussed with examples of Instant Insanity and Rubik's Cube cited. Sections cover defining chameleonic cubes, producing such a cube, and extending understanding to multidimensional cubes. One theorem proved is that for each positive integer, every cube of that size is chameleonic. (MP)

Approaches to extrema that do not require calculus are presented to help free maxima/minima problems from the confines of calculus. Many students falsely suppose that these types of problems can only be dealt with through calculus, since few, if any, noncalculus examples are usually presented. (MP)

An excursion in applied mathematics is detailed in a lesson deemed well-suited for the high school student or undergraduate. The problem focuses on an experimental missile guidance system simulated in the laboratory. (MP)

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)

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…