Presents problem situations that support students when discovering the multiplication principle, permutations, combinations, Pascal's triangle, and relationships among those objects in a concrete context. (ASK)

Introduces service learning and explores how it can be used in mathematics education. Relates experiences of using service learning in mathematics classes. (ASK)

Solutions to systems of linear equations with coefficients related to each other by an arithmetic progression are discussed. (SD)

The author illustrates many problems in which drawing graphs of functions involving absolute values assists in the solution of algebraic equations and inequalities. (SD)

A game is described that is designed to give students practice with operations on integers. The rules can easily be changed to provide more (or less) challenging situations. (MP)

The graph of this function is analyzed by using calculus methods and the computer. The graph in most texts is shown to be misleading. (MP)

The mathematics involved in a computer solution of a well-known board puzzle is discussed. The BASIC program is given. (MP)

Discussed is the problem of finding the volume common to two intersecting right circular cylinders. (MP)

Complex numbers and trigonometry are used to prove that a given constructed line is equal to the length of one side of a regular pentagon inscribed in a unit circle. (MP)

It is shown that a unit segment can be constructed from a given line segment of length the square root of x if x is a surd. (MP)

A test for divisibility by any prime number is discussed and its proof is given. (MP)

Binomial coefficients are used to prove two conjectures concerning the partitioning of an N-dimensional space. (MP)

The examination by students of the associative property of a binary operation is used to illustrate how students can be involved in mathematical discovery. (MP)