A satire of traditional algebraic word problems. (MKR)

Explores the effects of varying the coefficients in the general quadratic function using graphing calculators. (MKR)

Discusses the mathematical applications of weather including Fahrenheit-Celsius conversions, temperature cycles, the wind-chill factor, and a temperature-humidity index. (MKR)

Presents suggestions for improving textbook and classroom word problems: (1) Avoid composing exercises that inspire unanswerable questions, (2) State problems in terms of the future instead of the past, and (3) Find motivation for solving a problem beyond idle curiosity; some advantage should be gained from solving the problem. (MKR)

Introduces concepts of modern algebraic group theory in the form of a game. Peg boards and rubber bands represent nonnumerical group elements and are manipulated under the operation of reorienting a regular polygon. Symmetry groups are used to explore set properties, as well as commutative and noncommutative operations. (CMS)

Demonstrates techniques for teaching quadratic equations. (KHR)

Provides activities that support students as they develop their intuitive notions of graphs. Activities help students describe the relationships expressed in the graphs and make generalizations about inferences on the basis of the visual image. (ASK)

Takes the concept of using a geometrical or visual approach to teach algebraic concepts and extends it to connect with the section on binomial expansion by using three dimensional objects. (ASK)

Suggests that, for some classes of functions, an algebraic method is available that provides a nonstandard application of the discriminant conditions as well as an exact method of optimization for precalculus students. Examples are given, and students should compare these methods with others regarding generality, ease, and efficiency. (AIM)

Demonstrates the application of spreadsheet analysis in solving equations beyond quadratics. Considers the costs of interest, gasoline, and maintenance in deciding how long it pays to keep a car. (MKR)

Provides a cooperative-learning activity in which students calculate the horsepower of an individual by collecting and analyzing data. (ASK)

Presents a classification of factorable cubics and shows how the associated factor graphs determine domains of disconnected branches and furnish a skeletal framework for the number and shape of the branches. Illustrates three dimensional visualization and examines level curves and spikes of surfaces. (KHR)

Addresses a problem originally published in the September 1994 issue in an article entitled "Creative Teaching Will Produce Creative Students" by Krulik and Rudnick. Problem stated: "Find all rectangles with integral dimensions whose area A and perimeter P are numerically equal." Presents solution to a rectangular solid,…

Suggests use of the quadratic formula to build understanding that connections between factors and solutions to equations work both ways. Making use of natural connections among concepts allows students to work more efficiently. Presents four sample problems showing the roots of equations. Messy quadratic equations with rational roots can be solved…

Presents a strategy for graphing conic sections on the polar plane without using a table of values by beginning with information gained from the graphs of circular functions. (MKR)