Part I reviews the mathematical definition of function, and then presents some practical uses of functions in such areas as substitution in a formula, equation solving, and curve fitting. Part II gives examples of functions that can be used to describe some real life situations. (RP)

The maximal rectangle idea is used to illustrate ways to ease students into the frame of mind required for problem solving in calculus. (MNS)

Three mathematical problems are discussed to point out the need to use problems with more than one solution, but at least one readily available solution. As well as encouraging logical thinking, problems should involve pattern recognition and the generation of guesses to be tested. (MNS)

The material opens with a brief history of mathematics competitions in China. Translations of the problems that made up the two 1979 contest papers used are provided. The first set emphasized basic knowledge and degree of mastery, the second set emphasized application of knowledge and analysis of problems. (MP)

The effect of four variables (number of steps, superfluous information, verbal cue, and question) on problem solving performance was investigated. A total of 800 junior high students from five schools responded to four different types of questions. Three variables were found to be significant: questions, steps, and superfluous information. (DT)

Presents a new problem for students and discusses the results of a previous one. (Author/YDS)

Presents responses to the Painting Tiles problem. (Author)

Describes the mathematics curriculum proposed by the Principles and Standards for School Mathematics (PSSM)in which students build new mathematical knowledge through problem-solving. Compares the role of PSSM problem solving with that in the 1989 curriculum standards. (YDS)

Describes how a stock market simulation can be an excellent tool for motivating students to learn real-world mathematics in a middle school classroom. Details four activities that can accompany the simulation. (Contains 12 references.) (YDS)

Explores the real-life mathematics found in racing. Includes a worksheet. (YDS)

Uses the spot problem to illustrate the importance of inductive and deductive reasoning and the connections among algebra, graph theory, geometry, and combinatorics. (Author/NB)

What initially appears to be a standard maximum-minimum problem presents, with a particular independent variable, a wealth of calculus and algebraic subplots. Uses graphing calculator technology to reinforce the "pencil and paper" solution and open the problem to lower level mathematics courses. (Author/NB)