Problems in three contexts requiring the same computations were given to 34 students to test the hypothesis that students who could perform computations in mathematics problems were frequently unable to do them in other contexts. Results indicated that there were random (careless) errors in all contexts. (SD)

This paper outlines a technique for teaching a rigorous course in calculus and differential equations which stresses applicability of the mathematics to problems in civil engineering. The method involves integration of subject matter and team teaching. (SD)

There are many problems that can be translated into the language of graph theory. Such a problem, discussed in this article is to show that in any group of two or more people, there are at least two people who have the same number of acquaintances in the group. (PK)

Considers a trigonometric solution to a standard calculus minimization problem. Presents a geometric solution which can be used to solve other trigonometric or algebraic problems. (PK)

A general model for solving algebra word problems requiring a linear solution in one variable is described. A step-by-step approach is illustrated, with a worksheet included. (MNS)

Conference addresses by John Mason and Vern Treilibs are summarized. Mason considered teachers' challenge to change, suggesting that teachers must become researchers. Treilibs discussed the role of applications in the curriculum. (MNS)

The impact and role of social needs, including computer technology, on the secondary school mathematics curriculum are considered. Their role in the American curriculum, mathematical applications, institutionalized needs, and alternatives are discussed. (MNS)

Many drugs are used up by the body at rates described in terms of exponential decay. Two simple exponential formulas are discussed. (MNS)

An example of how geometry serves as a model in the real world is outlined, with suggestions on how it might be used at the high school level. (MNS)

An application of transformation geometry to special relativity is described. No knowledge of physics is required, but the application uses transformation ideas in a nontrivial way. A comparison is given of reflections in the Euclidean and Minkowski (non-Euclidean) planes. (MNS)

A brief overview is given of the part of meteorology which deals with the circulation of the atmosphere. This is followed by eight illustrative application problems for mathematics classes. (MNS)

Describes eight increasingly sophisticated and efficient sorting algorithms including linear insertion, binary insertion, shellsort, bubble exchange, shakersort, quick sort, straight selection, and tree selection. Provides challenges for the reader and the student to program these efficiently. (JM)

Suggests a method treating geometric optics using a microcomputer to do the calculations of image formation. Calculations are based on the connection between the composition of lenses and the mathematics of fractional linear equations. Logic of the analysis and an example problem are included. (JM)

This second part of a two-part article highlights some mathematics involved in the study of meteorology. Examples are given of the application of mathematics to the study of the atmosphere, with three problems discussed. (MNS)

Mathematics textbooks should encourage students to understand--as well as to memorize--problem-solving processes, to think about the reasonableness of an answer, and to "see" mathematics through real-life applications. Eight questions are given which can help schools determine whether a textbook truly emphasizes problem-solving. (PP)