Early in their introductory college linear algebra class, the author's students learn to use a matrix to represent and solve systems of linear equations. Indeed, this simple idea is perhaps the foundational idea of the course. Nevertheless, the author was delighted to find that the study of linear systems can lead to surprisingly deep mathematics.…

A WebQuest is an inquiry-based lesson plan that uses the Internet. This article explains what a WebQuest is, shows how to create one, and provides an example. When engaged in a WebQuest, students use technology to experience cooperative learning and discovery learning while honing their research, writing, and presentation skills. It has been found…

In a series of exercises students develop designs in which nodes are labelled according to the isolation rules defined. Strategies for creating new designs from known ones, finding the maximum number of isolation designs on a given configuration, and developing larger isolation designs are encouraged. Sample worksheets are included. (SD)

Beginning with a construction problem admitting a classical solution, the authors provide other solutions based on algorithmic estimation and transformational geometry. The latter methods are generalized to suggest solutions to other problems; hints to these solutions are provided. Teacher-student discussion could lead in many directions. (SD)

A series of problems concerning a geoboard with "holes" is suggested. (SD)

Tac Tix is a board game for two players having a mathematical optimum strategy for play. The strategy can be discovered by application of general problem solving techniques. (JP)

Five steps common to different problem solving models are listed. Next, seven specific abilities related to solving problems are discussed and examples given. Sample activities, appropriate to help in developing these specific abilities, are suggested. (LS)

Three games played with regular bridge decks of cards are described. By playing the games students gain practice in use of basic operations on integers and in the development of strategies. (SD)

The social science finding that two-thirds of a population of successful males are first-born sons provided the motivation for a problem solved by a 12th grade honors class. The class proved that the probability of choosing a first-born son from a male population is about two-thirds. (JP)

The use of the randomized response technique as a tool of obtaining answers to sensitive questions is illustrated. Directions for two classroom experiments are included. (MP)