Describes a five-dice game, horse. Discusses the offensive player's strategy using the ideas of probability, such as counting outcomes, mutually exclusive events, conditional probabilities, zero sum games, and the use of computer. (YP)

Examines four major elements of a strong mathematics program (tracking, curriculum, student needs, and articulation), interpreting them as they pertain to community colleges. Discusses the role of two-year colleges in the mathematical preparation of future elementary school teachers and provides sample workplace-oriented math problems. (MAB)

This paper describes a gateway testing program designed to ensure that students acquire basic skills in freshman calculus. Students must demonstrate they have mastered standards for "Absolutely Basic Competency"--the Calculus ABCs--in order to pass the course with a grade of C or better. We describe the background, standards, and testing program.…

Research has often found little or no significant differences in overall performance for math students using graphing calculators compared to traditional (non-calculator) classes. However, when performance is divided into procedural and conceptual levels, significant differences appear at the conceptual level. This study investigates the relation…

The University of California at Berkeley has developed a Mathematics Workshop the purpose of which is to improve serious deficiencies in minority students' mathematics and study skills. Now in its second year, the workshop has five functions: (1) building a community of minority freshmen that is academically-oriented and a source of peer support;…

A graph is an example of a symbol system which encodes information through the juxtaposition of marks in a two dimensional plane; decoding the meaning of a graph uses specific attributes of the human visual system. This study was undertaken to identify some variables critical to graph interpretation as a first step in designing better curriculum…

Presented is a mean-value theorem that generalizes the Taylor-Lagrange formula. Discussed is the asymptotic behavior of the remainder term of the formula. Several numerical schemes are derived to approximate the solution to initial-valued first order differential equations. (KR)

Discussed are various models proposed for the Moebius strip. Included are a discussion of a smooth flat model and two smooth flat algebraic models, some results concerning the shortest Moebius strip, the Moebius strip of least elastic energy, and some observations on real-world Moebius strips. (KR)

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.…

Explains a new way of viewing Bayes' formula. Discusses the revision factor and its interpretation. (YP)

The relationships between mathematical competencies possessed by students and selected student characteristics at the beginning of a semester were examined. The relationship between test scores and the type of mathematics courses taken during the semester students were enrolled in an introductory biology course were also investigated. (Author/CW)

Presented is a way to provide students with a review and an appreciation of the versatility of pointers in data structures by improvising with binary trees. Examples are described using the Pascal programing language. (KR)

Durer's method for drawing an ellipse is used to explain why some people think an ellipse is egg shaped and to show how this method can be used to derive the Cartesian form of the ellipse. Historical background and suggestions for further reading are included. (KR)

Described is a way that elemental mathematics can be applied to explain an astronomical phenomenon. The fact that the extreme of sunrise and sunset do not occur on the shortest or longest days of the year is analyzed using graphs and elementary calculus. (KR)

Lowering the dropout rate of incoming mathematics and science students, and enhancing the provision of mathematics support for freshmen are two important aims of the University of Amsterdam. The approach recently adopted to support first year students is to set up a diagnostic pretest and posttest and use these tests to identify students being at…