Results of using platonic solids for probability experiments are presented. (JG)

Reprinted is "Shanks, Ferguson and pi" by T. A. A. Broadbent. It describes the historical development of the mechanical calculation of the number pi. (CT)

Discusses how intriguing arithmetic images from geometric situations, which serves to remind students that mathematics is interrelated. Discusses also how the teacher can anticipate the possible dialogue in a class and thereby stress points of emphasis "ahead of time". (BR)

Examples are given of proofs to standard geometric theorems using physics and mechanics. (PK)

Shows how integer-sided triangles can be nested, each nest having a single enclosing isosceles triangle. Brings to light what can be seen as a relatively simple generalization of Pythagoras' theorem, a result that should be readily accessible to many secondary school pupils. (Author/KHR)

Discusses number patterns and Fibonacci numbers found in nature. (YDS)

Discusses the merits of cooperative learning in the classroom and the effects of implementing cooperative learning in a high school geometry classroom. (Author/NB)

Describes a two-person game based on the Pythagorean Theorem. Includes game board and question cards. (MKR)

Gives several proofs of the converse of the Pythagorean Theorem. (MKR)

I have had some sticky moments with my top set Y11 students. Three of them are quicker at spotting applications of the alternate segment theorem than I am, which I find unnerving. Two of them have discovered cross-multiplication for themselves and are threatening to show others, despite my philosophical objections. (Author)

In this paper, using the Lambert series and other known results, the authors consider the computation of a class of series involving the powers of generalized Fibonacci and Lucas numbers, and obtain their approximate values.