The present problem was derived from the knowledge that if the midpoints of the sides of any quadrilateral are connected, a parallelogram would be obtained. The author explores what would happen if similar procedures were applied to pentagons, hexagons, and other geometric forms. (RP)

Presents two equivalent forms of the Pythagorean theorem, and a form for finding the area of a right triangle. (RP)

Least-squares line fitting is developed without calculus. Its rationale and an example with consumption patterns are provided. (MNS)

Masters of worksheets are given that are designed to help students develop the problem-solving skills of analyzing information, identifying the question, and selecting pertinent facts. (MK)

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

Results obtained from investigating number properties are discussed, along with six points that are felt, in general, to be the ingredients necessary for a successful learning experience. Two programs written in BASIC designed to aid in aspects of Number Theory are included. (MP)

Describes some unsolved problems in geometry, as well as some recently solved ones. Indicates that each advance generates more problems than it solves, thus ensuring a constant growth in unsolved problems. (GA)

Four unusual mathematics problems with interesting routes to solution are presented. A general method of solution to problems of this type is proposed. (MP)

Methods are suggested for encouraging high school students to write mathematics research papers. Sources for information are discussed, a general outline for the paper is given, grading procedures are described, and several topics for reports are listed. (DT)

Presents a problem of triangular tiles that involves counting and probability. Includes instructor guiding questions. (KHR)

Presents activities that focus on number sense. (KHR)

Presents students' various solutions to a word problem. (KHR)