Context is what makes mathematical modeling tasks different from more traditional textbook word problems. Math problems are sometimes stripped of context as they are worked on. For modeling problems, however, context is important for making sense of the mathematics. The task should be brought back to its real-world context as often as possible. In…

All teachers, especially high school teachers, face the challenge of ensuring that students have opportunities to relate and connect the various representations and notions of mathematics concepts developed over the course of the pre-K-12 mathematics curriculum. NCTM's (2000) Representation Standard emphasizes the importance of students being…

Describes a method of effectively introducing the concept of radian measure that uses Cabri Geometry II software to construct a circle of arbitrary radius and to measure that radius. The goal is to determine how many of these radii fit around a circle. (DDR)

Provides computer programs (for Apple microcomputers) for drawing (in high resolution graphics) a three-leaved rose, concentric circles, circumscribed and inscribed astroids. Sample output and discussions of the mathematics involved in the programs are included. (JN)

The concept of trigonometric ratios in a right triangle can be clearly presented through the use of interactive-geometry software. Investigation in this manner allows students to see the crucial features of the concepts before they are formalized and to gain ownership of these ideas through discovery. Many examples of the mathematical…

Brief articles concern solving a polynomial equation of degree greater than two, an approach for teaching an ambiguous case in trigonometry, and built-in functions on calculators and computers. Two computer programs are listed. (MNS)

Described is a solution to the problem and a discussion of a computer estimation of the probability. A computer program written in Turbo Pascal and two sample runs are provided. Computations for a more general problem of this nature and changes in the program necessary for use with Apple Pascal are appended. (CW)

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)

The author suggests that spreadsheet computer programs can be an effective tool in the mathematics classroom. In addition to being used to solve many real-world problems, spreadsheets can be used to promote understanding of concepts and principles from geometry, algebra, and trigonometry. (PK)

Presents activities which use graphing calculators to explore parametric equations of spirals, circles, and polygons. (MKR)

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…