Discusses ways in which children organize mathematical information into empirical facts and theorems, and how a third domain, examples, relates to the other two. Also discusses active understanding on the part of children as a goal of mathematics education. (CS)

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)

A science fiction approach is used to explore some unusual properties associated with the concept of infinity. (MP)

A computer program written in BASIC designed to simulate the activities of businesses in a marketplace where several car companies compete is provided. The educational uses of this program in an eighth-grade consumer economics class are highlighted. (MP)

Two orientation problems and six sample worksheets that stimulate students to use a complete conjecture-proving sequence are shared. The view promoted is that pupils can gain experience in conjecturing and in writing proofs that mirror their logical thinking through work with a careful sequence of activities. (MP)

Reviews the latest version of "muSimp/muMath-80," discussing the muSimp language and muMath applications. The package comes with a variety of muMath source files (including lessons, five teaching features of ARITH and ALGEBRA files and five teaching the muSimp language) and is capable of handling a wide variety of symbolic mathematics problems.…

An introductory unit on slope, designed to give students a chance to discover some of the basic relationships between functions and slopes, is described. Programs written in BASIC for PET microcomputers were used. It is felt that students have the background to understand derivatives after experiences with this unit. (MP)

Ideas for helping students sharpen their ability to read mathematics are presented. (MK)

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

This article, written by a high school junior, shows that there can never be more than two isosceles triangles having the same perimeter and area. (MK)

Some insights are provided into techniques for removing the mystery of how calculators evaluate functions. (Author/MK)

The activity described helps students develop facility in working with two-dimensional coordinate systems. Many students find the activity fascinating, so it can be used to motivate students to become involved in a number of explorations and to engender positive attitudes toward mathematics. (MP)

Several kinds of special dice are displayed and the various winning probabilities in games that could be played with them are discussed. Patterns for dice construction are provided. (MP)

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)

Explorations of problems involving the zero power are presented as routes through which instructors can take their students to reduce pupil uneasiness with the concept. Initial examination begins with routines for calculators, and discussion proceeds to more formal mathematics to generate more support for the definition of zero power. (MP)