The simultaneous solution of equations in polar form does not always yield the points of intersection of their graphs. An explanation is given. (MP)

Conditions for congruency of triangles are investigated. (DT)

The organization of several mathematics competitions within the United States is described. Sample contest problems are included. (DT)

Presents activities for teaching the logistic growth model using calculators and spreadsheets. (ASK)

Provides information on knot theory and its properties. Presents an activity for grades 9-12 on the applications of knot theory and some unsolved questions in the theory. (ASK)

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)

Explains standard drawing layouts and rules for creating orthographic and isometric views of a three-dimensional object. Normal and inclined surfaces are also discussed. Concludes with recommended classroom activities. Includes reproducible student worksheets. (FDR)

Discusses methods of using small dry-erase boards with each student so that students can do work in class and readily change answers. Notes that the boards are large enough so students can easily see other students' work for feedback purposes. (MVL)

Examines textbooks and classrooms from antiquity through the 19th century in search of historical precedents for mathematical communication in the form of dialogue between teacher and student. (KHR)

Examines several periods of world history including Greece, the middle ages, and the 17th century to gain a better understanding of the development of mathematics and share this information with students so that they can learn mathematics as a product of the people who lived their lives surrounded by the cultural influences and distractions of…

Poses a probability problem with counterintuitive results which ultimately leads to a lesson in how mathematicians work and think. (KHR)

Demonstrates techniques for teaching quadratic equations. (KHR)

Discusses how to help students avoid some pervasive reasoning errors in solving cumulative percent problems. Discusses the meaning of ."%+b%." the additive inverse of ."%." and other useful applications. Emphasizes the operational aspect of the cumulative percent concept. (KHR)

Describes the use of a purposefully designed set of problems borrowed from a variety of critical thinking activity books and selected to motivate, excite, and engage students in the learning process. Helps students develop a deeper, more conceptual understanding of mathematics by incorporating these problems into a beginning algebra course.…

Presents the technique of mind mapping and points out its special fitting as a pedagogical tool for mathematics education. Discusses possible applications of mind mapping in mathematics education together with their advantages and limitations. (Author/NB)