Computer graphics are used to display the sum of the first few terms of the series solution for the problem of the vibrating string frequently discussed in introductory courses on differential equations. (MNS)

An application of trigonometry in weather forecasting, dealing with cloud height, is discussed. (MNS)

Some traditional and some less conventional approaches using the cotangent to solve the same problem are described. (MNS)

Provided is an analysis, using concepts from geometry, algebra, and trigonometry, to explain the apparent loss of area in the rug-cutting puzzle. (MNS)

Ideas are presented regarding: (1) unique learning activities for students who have difficulty with operations with signed numbers; (2) a mathematical inspection of a unique card trick that can be expressed as an equation; and (3) sketching of graphs of composite trigonometric functions. (MP)

Presents a trigonometry problem concerning control of the entry of sunlight through a window. (ASK)

Uses a variation of Hansen's surveyor problem to illustrate how exploring students' assumptions can lead to interesting mathematical insights. Describes methods that utilize self-stick notes and overhead transparencies to adapt computer software to specific classroom needs. (MDH)

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)

The author shares 12 problems he has found effective in stimulating the imagination of students. (MNS)

How the use of calculators can illuminate mathematics and improve the level of problem-solving discussion in classes is presented. (MP)

Discussed is the problem of inscribing a rectangle of maximum area in a given right triangle. Answered is whether there is an advantageous orientation and whether a corner of the rectangle of maximum area can lie on the midpoint of a leg of the triangle. (KR)

Presents a problem in which the incorrect application of the Law of Sines leads to an erroneous solution. Demonstrates that the commission of this error by an ophthalmologist using laser trabeculoplasty could lead to patient injury. (MDH)

Argues for teaching different approaches to solving problems. Using a geometric example, alternative solutions are given which use synthetic geometry, transformation geometry, analytic geometry, complex numbers, trigonometry or vectors. (PK)

A series of four activities are presented to enhance students' abilities to appreciate and use trigonometry as a tool in problem solving. Activities cover problems applying the law of sines, the law of cosines, and matching equivalent trigonometric expressions. A teacher's guide, worksheets, and answers are provided. (MDH)

Presents 14 distinct methods to determine the sine of the angle formed by the line segments joining one vertex of a square to the midpoints of the nonadjacent sides. Nine methods were developed by mathematics club participants preparing for mathematics competitions and the remaining five by faculty members. (MDH)