Beyond Crossroads is a call to action. Within this call, AMATYC has updated its 1995 Crossroads standards, developed a new set of guiding principles, and created a blueprint for implementing these revised principles and standards. The principles guiding Beyond Crossroads are a significant overhaul of their predecessors and are bold statements that…

Describes the "Buffon's Needle" problem, which is calculating the probability that a needle will cross one of two separated lines. Calculates the probability when the length of the needle is greater than the space of the two lines. Provides an analytic solution and the results of a computer simulation. (YP)

Discusses the application of probabilistic ideas, especially Monte Carlo simulation, to calculus. Describes some applications using the Monte Carlo method: Riemann sums; maximizing and minimizing a function; mean value theorems; and testing conjectures. (YP)