Discusses the formation of a geometry club in which members (students, teachers, staff) of a high school meet in order to discuss and demonstrate the mathematics in Euclid's Elements. (MKR)

Presents activities that use toy balloons to offer students interesting opportunities to connect algebra and geometry. Involves students measuring the speed of a released balloon and investigating the subtle relationship between the volume of a sphere and its surface area. Prompts a rich and revealing discussion about why the experimental results…

Describes some reflections on culture and the historical development of school mathematics in a contemporary Pakistani context. (KHR)

Focuses on Pierre Varignon (1654-1722), who established the central place of mathematics in schools of Western Europe and his parallelogram theorem. (KHR)

Exposes difficulties encountered when using interactive geometry software to teach the methodology of proofwriting (observing, conjecturing, and proving) in secondary geometry courses. (Author/NB)

Describes an activity in which students develop a conceptual understanding of the formulas of the circumference and area of a circle by exploring pi. (YDS)

Presents an activity in which students investigate geometric probability at a school fair. (YDS)

Discusses a number of Theo van Doesburg's paintings concerning arithmetic composition. (KHR)

Explores trapezoidal numbers, which are the result of subtracting two triangular numbers. Includes classroom activities involving trapezoidal numbers to help students develop their problem-solving skills. Includes reproducible student worksheets. (MKR)

Describes features and uses of the Geometry Forum, a National Science Foundation funded Internet project which includes a set of electronic newsgroups for people interested in geometry. (MKR)

Discusses a method of graphing polar equations using information from the Cartesian graphs of trigonometric functions. (MKR)

Discusses area, perimeter, the Pythagorean Theorem, surface area, and volume with regard to the use or nonuse of units of linear measure. (MKR)

In the late 1950s Freudenthal published several articles on the history of geometry around 1900, in particular on Hilbert's innovative approach to the foundations of geometry. Discusses Freudenthal's contribution to our understanding of the development of geometry and his style in historical research. (Contains 17 references.) (Author/MDH)

Provides practical applications of elementary coordinate geometry while discussing how mathematics is used to assess the security of systems. (ASK)

Describes some general techniques for making collapsible models, including spiral models, for all the Platonic solids except the cube. Discusses the nature of the dissections of the faces necessary for the construction of the spiral cube. (ASK)