There are many problems that can be translated into the language of graph theory. Such a problem, discussed in this article is to show that in any group of two or more people, there are at least two people who have the same number of acquaintances in the group. (PK)

Considers a trigonometric solution to a standard calculus minimization problem. Presents a geometric solution which can be used to solve other trigonometric or algebraic problems. (PK)

A general model for solving algebra word problems requiring a linear solution in one variable is described. A step-by-step approach is illustrated, with a worksheet included. (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)

This second part of a two-part article highlights some mathematics involved in the study of meteorology. Examples are given of the application of mathematics to the study of the atmosphere, with three problems discussed. (MNS)

Mathematics textbooks should encourage students to understand--as well as to memorize--problem-solving processes, to think about the reasonableness of an answer, and to "see" mathematics through real-life applications. Eight questions are given which can help schools determine whether a textbook truly emphasizes problem-solving. (PP)

The purpose of this paper is to offer a framework for categorizing and describing the different types of processes that undergraduates use to construct proofs. Based on 176 observations of undergraduates constructing proofs collected over several studies, I describe three qualitatively different ways that undergraduates use to construct proofs. In…

This book shows students how to increase their power to analyze problems and comprehend what they read. First it outlines and illustrates methods that good problem solvers use in attacking complex ideas, then it provides practice in applying these methods to a variety of comprehension and reasoning questions. The "Whimbey Method" of teaching…

Discusses the use of a new approach, rather than quantum mechanics, to obtain practical solutions to bond energy problems. Indicates that the complex nature of mathematics and the small magnitude of bond energies involved in an approximation are two practical impossibilities for quantum mechanics to reach simple, reliable results. (CC)

Author intended to illustrate how mathematics could be used as a humanistic enterprise to convey knowledge and attitudes towards the world. (Author/RK)

"TK!Solver" was designed as a personal computing tool to solve problems involving mathematical calculations and analysis. An in-depth review of this model building and problem-solving package is provided. System commands, applications (including data lists, plots/graphs, iterative problem-solving, present values), and other areas are…

A large-scale computer managed training program in problem-solving in applied mathematics and basic physics for first-year medical students at the University of Leuven is described. Students do calculations away from the terminals, but are corrected and evaluated at terminals. Some tentative results are presented. (Author/MSE)

The symposium is seen to create an opportunity for students to understand the way mathematics is actually used in their own fields and to understand both their own potential as mathematics users and inherent difficulties in modeling. The symposium acts as a capstone for a two-semester, introductory calculus course. (MP)