Why and how to teach about the real numbers as a complete ordered field is discussed. (MNS)

The Moore methods, in which college mathematics students prove theorems for themselves, is described. Difficulties and drawbacks to this method, appropriate areas of mathematics in which the Moore method can be used, and techniques in using the method are discussed. (DT)

This note presents a simple theorem which explains why the method of undetermined coefficients works in finding a particular solution, both for differential equations and difference equations. (Author)

Given a multiplicative group of nonzero elements with order n, the explicit relationship between the number of cyclic subgroups of order d, which divides n, is used in the proof concerning the cyclic nature of that given multiplicative group. (JJK)

A formula estimating the number of misprints in a text which escape both of a pair of proof readers is developed using the principle of inclusion-exclusion. (SD)

Properties of the arithmetic mean and the geometric mean are discussed, with an analogy between additive multiplicative averages. Drawing analogies between symbols and relations is proposed as a way of strengthening students' understanding and enriching the study of elementary statistics. (MNS)

The objectives for a general one-semester college course in mathematics are discussed. The content covered in looking at "traditional" mathematical systems, computers in society, and statistics from a consumer's viewpoint are briefly described. (DT)

A way of presenting the Poisson process and deriving the Poisson distribution for upper-division courses in probability or mathematical statistics is presented. The main feature of the approach lies in the formulation of Poisson postulates with immediate intuitive appeal. (MNS)

A few examples are discussed of situations where some solution to writing a computer program for an algorithmic problem is immediately evident, but the best solution is some distance away. (MP)

Required readings for five courses (Calculus I, II, and III; Introduction to Linear Algebra and to Algebraic Structures) are briefly noted. (MNS)

Describes how the Modified Moore Method, a Socratic-type method, has been used successfully in college classes ranging from intermediate analysis to advanced calculus. (MKR)

The approaches taken to psychological research are discussed. Studies are classified as axiomatic, classical, stochastic or statistical, or structural. The mathematical models used in each type of study are discussed. (SD)

A system of grading tests by considering the relative merits of responses to individual items is developed. (SD)

A description is given of a senior seminar in which each student reported on a topic centered around the works of David Hilbert. A brief description of each topic is given as well as a list of references. (MP)

Ten recent results in pure mathematics are described, covering the continuum hypothesis, Diophantine equations, simple groups, resolution of singularities, Weil conjectures, Lie groups, Poincare conjecture, exotic spheres, differential equations, and the index theorem. Proofs are omitted, but references are provided. (DT)