Analyzes different solution strategies to find the area of an octagon. Describes four different generalizations of the original problem and illustrates solutions. (KHR)

Shows how to find an equation in one variable whose solution set is a given line segment as well as an equation in two variables whose solution set is a given triangle and its interior. (KHR)

Describes a group project concerning the Calendar Problem 9 in the January, 1993 Issue of this journal, students' methods for solving the problem, and an extension of the problem. (KHR)

Presents activities designed to engage students in an experiential and theoretical application of problems in precalculus and to study geometry, coordinate systems, rates, linear applications, and the concept of function. Illustrates problem situations and includes student worksheets and a teacher's guide. (KHR)

Introduces a special triangle for which many different problems can be posed on the basis of one unusual property. Presents three problems and considers different approaches for the first problem. Explores other mathematical problems using the "What if not?" strategy that can be used as classroom activities. (KHR)

Presents two ancient problems, trisecting any angle and dividing a circle into any number of equal parts. Illustrates how to use these problems to prompt students to think broadly and creatively about problems instead of letting the apparent boundaries of the problem limit their thoughts. Combines three-dimensional solutions to the problems to…

Suggests several approaches that allow students to explore the implications of Varignon's parallelogram theorem. (KHR)

Develops a method for visualizing the complex roots of a polynomial equation. Illustrates some quadratic or cubic polynomials and their solutions. (KHR)

Presents an interdisciplinary project for precalculus classes that allows students to increase their understanding of the mathematics of transformations of periodic functions and helps them see mathematics in art. Uses an applet that produces high-quality graphs and real works of art by using combinations of transformations of the sine and cosine…

Describes Kerf bending which is used to produced a curved shape out of plywood. Discusses why Radtke's kerf-cut method yields a circular arch. (KHR)

Offers a cave-mapping problem and discusses how to solve it. Presents the problem and necessary geologic background and a spreadsheet algorithm to solve the problem. (KHR)

Describes a rugby problem designed to help students understand the maximum-minimum situation. Presents a series of explorations that locate an optimal place for kicking the ball to maximize the angle at the goalposts. Uses interactive geometry software to construct a model of the situation. Includes a sample student activity. (KHR)

Focuses on the concept of compound functions and an application of this concept using the tax rate schedules from 1999. Presents an activity designed to help students learn how much income goes to pay federal income tax. (KHR)

Presents a map-projection activity that combines mathematics and geography through investigating the proportion of land and water that covers the earth. Focuses on helping students become familiar with characteristics of different projections or representations of the world while estimating and graphing and encouraging them to investigate the…

Presents an activity incorporating basic terminology, concepts, and solution methods of graph theory in the context of solving problems related to air travel. Discusses prerequisite knowledge and resources and includes a teacher's guide with a student worksheet. (KHR)