As part of the Mathematical Problem Solving Project, MPSP, the goals and purposes of miniprojects are explored. Various conjectures are presented which are based partially upon observation of children working on projects and partially upon the opinions of mathematicians who have observed how problem-solving processes are used in real-world…

In this study three issues related to "expert" problem solving were studied; the problems considered were based on Tower of Hanoi puzzles. A computer simulation was proposed and tested, effects of cues on subjects' performance were studied, and inter-problem transfer was analyzed. Four predictions were posed for the simulation study. Two of these…

The overall results of the fourth U.S.A. Mathematical Olympiad are discussed. The names of the eight finalists are listed, as are the problems in the test. (SD)

A computer program generates sets of simultaneous linear equations for students to solve; the program also solves the systems and provides teachers with solutions. (SD)

Aspects of the source of power of mathematics and the ways in which mathematics works are discussed. The author discusses various philosophies about mathematics, presents several unusual "real world" problems, and reviews the social consequences of the "imposition of mathematics" on humanity. (MP)

Presented are eight student worksheets of block problems. Included are diagrams of the squares and hollow squares involved and a separate answer sheet for the problems. (CW)

This article describes a procedure for presenting routine practice problems on a programable calculator with attached teletype. The program uses a random number generator to write problems, gives feedback and assigns grades according to the procedures outlined (and flow-charted) by the author. (SD)

The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…

This booklet was designed for the use of junior high school or high school students. Detailed, step-by-step instructions are given for using the computer, for writing programs in BASIC, and for using the various commands in the BASIC language. A list of 75 computer programing ideas in varying degrees of difficulty is presented in the index. (MP)

This teacher's guide contains instructional material for use in a module designed to help students learn to use a list as one way to organize information. Detailed teaching procedures are given for each of eight lessons as well as objectives, student pages and transparencies. An answer key is provided. The lessons address the following goals: (1)…

An elementary knowledge of geometry is shown to be helpful in problem solving, especially in that the shortest distance between two points is a straight line. (MN)

The technique of organizing data in tables to solve counting problems in geometry is illustrated in the solution of five problems. (MN)

The author has selected a number of episodes that illustrate some of the successes and failures of humanity's attempt to find the area of the circle and presents them as problem studies. (MN)

The author gives a variety of literary questions and exercises that can be used to develop and test students' interpretation of the mean, median, and mode and their understanding of the usefulness and limitations of each. (MN)

An elective course aimed at giving tenth-grade students some experience with practical arithmetic problems is outlined. The two-week course is designed primarily for students who will be leaving at the end of the year and includes topics such as calculators; earning, spending, and saving money; tax; and buying a car. (MN)