The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)

Some misconceptions about learning are discussed and specific suggestions for helping students in a college developmental mathematics class learn how to learn mathematics are presented. Extensive footnotes are appended. (MNS)

A brief overview is given of the part of meteorology which deals with the circulation of the atmosphere. This is followed by eight illustrative application problems for mathematics classes. (MNS)

"Gedankensimulation" is a term adapted from Einstein's "thought experiments" to indicate mentally created simulations that can help conceptualize ideas. Presents seven examples of simulations that can be utilized to solve problems or illustrate concepts in probability and statistics. Problem contexts include games of chance,…

The problem "Given three planar points, find a point such that the sum of the distances from that point to the three points is a minimum" is discussed from several points of view. A solution that uses only calculus and geometry is examined in detail. (MNS)

A method of using vector analysis is presented that is an application of calculus that helps to find the best angle for tacking a boat into the wind. While the discussion is theoretical, it is seen as a good illustration of mathematical investigation of a given situation. (MP)

Finding a fractional number equal to an infinite decimal is solved by two usual methods. Then a third method is discussed that allows students to avoid having to confront the idea of an attained infinity of symbols. (MNS)

Results obtained from investigating number properties are discussed, along with six points that are felt, in general, to be the ingredients necessary for a successful learning experience. Two programs written in BASIC designed to aid in aspects of Number Theory are included. (MP)

A procedure using calculators is described to test Ulam's conjecture that all positive integers converge to 1, if subject to certain iterated transformations. (MNS)

Described is an experience in assigning mathematics problems that have been purposefully selected from professional journals to assist upper level college mathematics students in developing confidence in their ability to contribute published solutions. Several examples are included. (JJK)

Timing stoplights and trying to determine the best way to allocate cycle time to the two directions is discussed. The simple case and improving the model are both considered. (MNS)

Under the assumption that the current perplexing state of calculus instruction is a result of the presuppositions inherent within conventional teaching practices, the author examines why calculus is taught the way it is, indicates unprofitable practices that result from the way calculus is taught, and recommends possible ameliorative actions. (JJK)

A possible logical flaw based on similar triangles is discussed with the Sherlock Holmes mystery, "The Muskgrave Ritual." The possible flaw has to do with the need for two trees to have equal growth rates over a 250-year period in order for the solution presented to work. (MP)

Two topics are discussed that can be presented in a discussion of the annual percentage rate (APR): difference equations and fixed-point iteration. A program in BASIC using the iteration procedure is included. (MNS)

How a computer randomly generates numbers to turn off lighted blocks on a graphics display is discussed. A computer program is given after reviewing a definition and two theorems and applying them to the problem. (MNS)