Discusses major unresolved issues in mathematics education today, focusing on computers, higher standards, and proposed changes in the college curriculum. Also offers eight predictions for the future, indicating that computers will not replace mathematics teachers and that calculus will no longer be the unique goal of college preparatory…

A real-life problem involving a greenskeeper needing to know the area of golf greens is presented, with solutions using a scale drawing, Maple's methods, and Heron's formula. Methods are checked with a computer and discussed mathematically. Three computer program listings are included. (MNS)

Appropriate uses for graphics calculators in precalculus and calculus are discussed. The functions of Casio, Sharp, and Hewlett-Packard brand calculators are stressed. A "Stress Test" for graphics calculators designed to illustrate common errors and to furnish examples of tasks which cannot be completed on these instruments is provided.…

Discusses the surprising result that the expected number of marbles of one color drawn from a set of marbles of two colors after two draws without replacement is the same as the expected number of that color marble after two draws with replacement. Presents mathematical models to help explain this phenomenon. (MDH)

The Monte Carlo procedure of generating random points that lie within the unit square is used to approximate pi, as the ratio of points within the first quadrant of the unit circle to the total number of randomly generated points. A BASIC computer program for this method is included. (JJK)

Several examples of solid figures that calculus students can use to exercise their skills at estimating volume are presented. Although these figures are bounded by surfaces that are portions of regular cylinders, it is interesting to note that their volumes can be expressed as rational numbers. (JJK)

Discusses the potential impact of the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics on teacher education programs. Considers an historical perspective on reform as well as teacher and student conceptions. (PK)

Brief articles are included on exploring mathematical patterns, with two computer programs listed for finding happy numbers; a simple periodic function in trigonometry; and comments on humorous student errors. (MNS)

Presents tasks from the topics of calculus, statistics, non-Euclidean geometry, and probability to illustrate effective college mathematics teaching. Discusses some obstacles to change in college-level mathematics teaching and strategies to overcome those obstacles. (MDH)

Reports 17 recommendations that focus primarily on curriculum in grades 11-13 for students who take a four-year college-preparatory program. Appropriate curricular patterns for students who are intending to pursue careers that depend on mathematics are indicated. (PK)

Discusses the snowflake curve as a way to introduce the topic of sequences and series. Computer programs which produce graphic results are included. (PK)

Domino games are used to illustrate problem-solving techniques in a college principles-of-mathematics course. Students develop tables and use Pascal's triangle to find the total number of pips and the sum of numbers on the pieces. (DC)

Described are three activities designed to increase student participation in the classroom. The first uses earthquake reporting to study logarithms. The second discusses student-generated examples to introduce probability. In the third, prepared handouts and study groups are used to promote student interaction and involvement in calculus classes.…

Discusses the use of computers in calculus classes. Describes activities in four laboratories providing with the problems of the laboratories. (YP)

Suggested are features which should be considered before selecting a specific interactive graphics package. Features that allow for accurate estimates of roots of functions and solutions to systems of equations are illustrated. Six graphics packages are compared including display, tabular options, misleading graphics, printing options, functions…