Presents a generalization to the classic prisoner problem, which is inherently interesting and has a solution within the reach of most high school mathematics students. Suggests the problem as a way to emphasize to students the final step in a problem-solver's tool kit, considering possible generalizations when a particular problem has been…

Discusses Einstein's special relativity theory and some of the developmental mathematics involved. Presents motivational classroom materials used in discussing relative-motion problems, evaluating a radical expression, graphing with asymptotes, interpreting a graph, studying variation, and solving literal and radical equations. (KHR)

Explores different types of Bingo games in which students can work on mental arithmetic, solve equations, and recognize geometric shapes. (KHR)

Examines a root-approximation method using fixed points as a pedagogical tool for reinforcing and expanding students' conception of functions. (KHR)

Reports on what proved to be one of the more challenging issues raised by the feedback to principles and Standards for School Mathematics: Discussion Draft and how that feedback was used to create a more effective final document. (KHR)

Examines teachers' judgments of the difficulties of algebra problems. Offers classroom-tested instructional approaches that build directly on students' mathematical intuitions and inventions. (KHR)

Describes the maximum-volume-box problem designed to lead students to a deeper understanding of the problem and its solution. Uses the Geometer's Sketchpad as a learning tool. Illustrates some examples of constructing and using the sketch. (KHR)

Describes how to teach the coefficient of determination and correlation coefficient. Includes a worksheet for correlation and regression activities. (KHR)

Describes a student's unique perspective on the algorithm for finding equations of non-vertical lines given one point and the slope. Indicates that students had a better understanding of what they were doing. (KHR)

Demonstrates techniques for teaching quadratic equations. (KHR)

Considers reasons for trusting mathematics and why learning mathematics is important. Discusses cross-cultural consistency in mathematical knowledge. (KHR)

Presents a teaching experience with high school students in geometry class using hand signals that reinforce meaning of geometric concepts. (KHR)

Describes learning-disabled algebra classes offered at Bergen Community College, their structure, teaching and learning strategies used in the classes, and successful outcomes. Concludes that students with learning disabilities can learn algebra when their environment focuses on their needs and learning styles. (KHR)

Introduces a toy, the Educated Monkey, developed to help students learn multiplication tables and associated division, factoring, and addition tables and associated subtraction. Explains why the monkey works and reviews geometric, algebraic, and arithmetic concepts. (KHR)

Describes a successful classroom activity in which a game, Relay Review, is used to help students see the relevance of mathematics to their everyday lives and enjoy learning mathematics. (KHR)