A simple way to introduce natural logarithms and e is presented. The standard approach is outlined, followed by the approach via differentiating the exponential functions that the student knows about. (MNS)

A method for determining quickly whether a given number is prime is described. A table presents equations involving prime numbers between 2 and 149, and a proof of the method is provided. (MNS)

The rebirth of geometry is predicted in the coming years as the pendulum swings back from extreme devotion to structure, abstraction, and generality. (MP)

The constituents of a sound mathematics education and ways to deal with the current situation of "mathophobic adults" are covered. Specific proposals related to precollege and continuing education are presented. (MP)

The author shows that the set of all sequences in which each term is the sum of the two previous terms forms a vector space of dimension two. He uses this result to obtain the formula for the Fibonacci sequence and applies the same technique to other linear recursive relations. (MM)

A method is given for obtaining a fairly accurate table of common logarithms, elementary arithmetic, and linear interpolation. The author recommends the use of a calculator. (Author/MN)

A theorem concerning the solutions of systems of linear equations is presented. (SD)

Two approaches are discussed for calculating the work necessary to pump water from a conical or parabolic container. The direct method derived from the definition of work is easy to misuse, as illustrated by a student's incorrect solution. (JP)