Several examples are given of a variety of nonstandard problems, not ordinarily found in texts or courses, now accessible to students who have programmable calculators. These include: (1) finding limits; (2) evaluating infinite series; (3) calculating finite series; (4) computing variable length products; (5) solving equations; (6) searching for…

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)

Six mathematics problems are posed; details are given of the solutions for six other problems. (DT)

Describes a model for geometrical probability. Presents two examples of basic theories of probability using geometrical probability. Provides three problems using the described theorem. (YP)

Presents an example from the combinatorial theory of partially ordered sets. Discusses algorithms of on-line antichain partitioning problems, a topic in discrete optimization. (YP)

An aspect of the long history of the struggle to quantify motion is briefly traced through three extended problem sets suitable for use in first year calculus courses. The sketch culminates with an application of simple mathematics to one of the most current problems in the theory of the universe. (Contains 2 figures.)

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…

The goal of this study was to find a way to quantify three criteria of representational quality, described by Greeno, so that it would be possible to examine statistically the relationship between representational quality and other variables related to problem solution. The sample consisted of 18 college students, 84 percent of whom had…

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)

Math anxiety is an affliction that causes several intelligent students to believe, mistakenly, that they lack the ability to master the subject. Professors are starting to question their teaching tactics in hopes of tackling math anxiety, with some educators looking at ways to make their classes more interactive, while others are considering…

The author organizes some of the information known about the problem of dividing space by five planes in general position along with its extensions, and consolidates it to highlight some interesting patterns in both methods of solving analogous problems and their results. (MN)

An example of a mathematical modeling problem involving student enrollment and attrition is given along with a discussion of methods and conclusions. (MN)

An example is given of a mathematical modeling problem involving the number of people that get on and off an elevator and the expected number of stops it makes. (MN)

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)