The problem of finding cube roots when limited to a calculator with only square root capability is discussed. An algorithm is demonstrated and explained which should always produce a good approximation within a few iterations. (MP)

Explorations of problems involving the zero power are presented as routes through which instructors can take their students to reduce pupil uneasiness with the concept. Initial examination begins with routines for calculators, and discussion proceeds to more formal mathematics to generate more support for the definition of zero power. (MP)

Applied mathematics is seen often to involve the solution of single equations or systems of equations. A particular technique for solving equations in the context of functions on the real line is examined. This technique includes an iterative process, which is viewed as an algorithm that can be implemented readily on inexpensive and widely…