Vector space concepts are developed by consideration of solutions for linear homogeneous equations. (SD)

The author shows how a rapid computational "trick" can lead to an investigation of Fibonacci-type sequences. (SD)

The 1974 Third United States of America Mathematical Olympiad for secondary school students is described. Included are five test problems with solutions, a brief statistical analysis of test scores, and a list of the eight finalists. (CR)

A computer program developed by a high school student approximates the value of "e" by computing partial sums of the defining series. (SD)

The digits in 1776 can be used in a variety of mathematical activities (especially during the bicentennial year). (SD)

Identifying the larger (L), smaller (S) and difference (D) of two real numbers, and then selecting the appropriate relationship between L, D, and S can help students solve algebra word problems. (SD)

Three topics related to teaching mathematics are discussed: a problem with the order of operations, teaching fractions, and an application of the distributive property. (MP)

Described is a calculator race that is designed to require a fast touch with the calculator and also the ability to apply mathematical knowledge. Sample questions are given. (MP)

The students, the general aspects and emphases of the curriculum, and the equipment and texts are discussed. An abbreviated course outline and a brief self-evaluation of the program are included. (MP)

A situation is presented that is intended to lead to open-ended mathematical discussions that allow students to conjecture, discover, and prove mathematical statements. (MP)

The operation of rounding is shown to lead into an investigation of an abstract mathematical system. Properties of the system are discussed and graphs of the rounding function are drawn. Some questions for discussion are given. (MP)

A magazine article is shown to contain material that could lead to discussions of several topics in mathematics. The article and the related mathematics are discussed in detail. (MP)

A mathematical derivation is given, developing the cardioid as an epicycloid locus. Curve-stitched designs are given for a family of epicycloids. (MP)

A classroom activity is described where students divided circular regions into equal sections and reassembled them to determine the formula for the area of a circle. Using an odd number of sections (Instead of an even number) changes the shape of the reassembled pieces but still gives rise to the same formula. (MN)

Some unconventional word problems containing excessive, inconsistent, or inadequate data and their possible limitations and benefits in a mathematics classroom are discussed. (JT)