Reports a proof of a classical geometry problem. The proposition is - In any triangle there are two equal sides, if the angles opposite these sides have angle bisectors with equal lengths. (RP)

An interview with Martin Gardner, author of the mathematics games columns in Scientific American, is presented. Topics range from problem solving to using calculators. (MNS)

A few examples are discussed of situations where some solution to writing a computer program for an algorithmic problem is immediately evident, but the best solution is some distance away. (MP)

Student errors led to this exploration of the conditions under which log of x base a = x. The discussion requires only techniques contained in a first-year calculus course. (MP)

Two problem-solving strategies involved in finding the area of a particular square formed on a geoboard are described in detail. (MP)

An example is given of a problem-solving approach by outlining the development of a generalization of the Pythagorean Theorem as applied to points on a unit circle. (MP)

Presents an activity related to probability in order to answer a question based on the English football league. The question is "What is the probability that the FA Cup Final will be between the same two teams that played in the previous tournament?". (ASK)

Explores the problem posing abilities and attitudes towards mathematics of students in a university pre-calculus class and a university mathematical proof class. Reports a significant difference in numeric posing versus non-numeric posing ability in both classes. (Author/MM)

Presents a word problem concerning basketball for students in grade 1-6. (KHR)

Describes a combinatorics problem involving pizza toppings. Includes three activity sheets. (Author/NB)

Discusses problems promoting proportion sense, reasoning about quantities, and various relationships between quantities in proportions. (YDS)

Presents responses to the Fair Share Problem. (Author/YDS)

Presented are solutions to variations of a combinatorics problem from a recent International Mathematics Olympiad. In particular, the matrix algebra solution illustrates an interaction among the undergraduate areas of geometry, combinatorics, linear algebra, and group theory. (JJK)

Revisits and discusses the polar bear problem that was published in the March 1997 issue. The problem concerns a riddle: If you walk one mile south, one mile east, and one mile north, and end up in the same spot as you started, what kind of bear would you see? (ASK)

Monitoring of the errors resulting from the solution of a set of linear algebraic equations is conventionally achieved using either the mathematical standard perturbation theory for ill-conditioning or the computer studies route through interval arithmetic. Proposes an alternative based on continuous monitoring of the errors in each operation. The…