Examples are given of problems which can be solved pictorially, thus aiding in the general development of geometric intuition and in developing some of the basic ideas of probability. (MP)

Graphing techniques are used to demonstrate the inverse function theorem and that the graph of the inverse function can be obtained by flipping the graph about the line y=x. (MP)

Two problem-solving strategies involved in finding the area of a particular square formed on a geoboard are described in detail. (MP)

An example is given of a problem-solving approach by outlining the development of a generalization of the Pythagorean Theorem as applied to points on a unit circle. (MP)

Seven different views of geometry are identified, and for each of the views, guidelines for designing individualized curricula are developed. (DT)

Features of one particular kind of map, called a polar stereographic projection, are discussed in detail. (DT)

Partial converses are considered of the theorem stating that in an isosceles triangle, the bisector of the apex angle, the altitude to the base, and the median to the base all coincide. (DT)

Describes an activity for children of any age to develop spatial sense and explore the effects of transforming, combining, subdividing, and changing geometric figures. Students analyze empty cereal boxes opened flat to determine the specific shape, how it opens and closes, to check maps or sketches against the actual geometry of the box, and write…

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)