A program called SemCalc is detailed that enables people to use the computer as a tool to solve word, story, estimation, and simple algebra problems. SemCalc is seen as an example of a computer program that is a tool, with no curricular agenda of its own. (MP)

Typical difficulties involved in solving combinatorial problems are examined and seven common pitfalls are discussed. (MP)

Approaches to teaching verbal problems that are interesting and useful are reviewed. Four basic difficulties in teaching problem solving are also covered. (MP)

A mathematics contest for community colleges is described. A two-hour written examination is followed by a problem-solving competition between teams. (MP)

Conjectures about triangular arrangements of nine digits are stated and proved. (DT)

Presents a problem drawn from real life that addresses finding a way to cross all seven bridges of Konigsberg, Russia. Illustrates a set of simple examples and an instructional approach in order for students to make sense of a seemingly impossible problem. (ASK)

How can a chain with 63 links be cut in 3 places so that you could hand a person any number of links from 1 to 63? Considers variations on the problem and derives a general formula. (TO)

Argues that proving something begins with an assumption and proceeds logically to a conclusion, thus convincing by offering arguments. Describes some pitfalls involved in proving through examining several case histories. Offers suggestions for teaching the proof process. For example, sometimes an extreme example or counterexample will do more to…

Suggests several approaches that allow students to explore the implications of Varignon's parallelogram theorem. (KHR)

Features responses to a problem that appeared in the February 2000 issue. (KHR)

Presents questions, explorations, and problems centered on data and surveys related to ice cream. (YDS)

Explores the mathematics of flight. Also contains a student worksheet. (YDS)

Describes how student thinking about geometric patterns can be used to develop algebraic reasoning and to make sense of mathematical notation and symbols. (Contains 11 references.) (YDS)

Presents the Perfect-Square Geometry Partners problem to teach students about patterns. (Author/NB)

Presents an investigation to engage students in real-life, open-ended data analysis. Allows students to analyze existing data along with data that they collect. Lists steps, necessary materials, and includes activity sheets. (Author/NB)