Using Taxi-Cab Geometry (a non-Euclidean geometry program) as the starting point, 14 mathematically gifted British secondary students (ages 12-14) were asked to consider the differences between Euclidean and Non-Euclidean geometries, then to construct their own geometry and to consider the non-Euclidean elements within it. The positive effects of…

Compiles the experiences of four people involved in running math clubs. States that the underlying purpose of all clubs is to promote mathematics as an enjoyable pastime while also stimulating students and enhancing the everyday curriculum. Describes difficulties encountered and their solutions, varieties of clubs, sample math problems, and a book…

Examines mathematics as a pure and applied discipline and suggests it should be taught in an applied context. Reviews the development and philosophy of the "mathematics for all" movement. Concludes that continuing research in this area is necessary for progress of the movement. (BSR)

Presents study results exploring the use of learning activities in secondary school mathematics instruction. Explains that seven categories of learning activities, one traditional and six active learning, were identified. Reports that heads of mathematics departments estimated occurrence of the activities in their schools. Concludes that active…