After discussing some of the criticisms of the "new math" and the decline of academic and discipline standards in the schools, the author suggests how mathematics educators can use the back-to-basics movement constructively without joining it. (MN)

A nontraditional approach of graphing equations using parallel axes produces some dual concepts when compared to graphing equations with the traditional perpendicular axes. (JT)

Some mathematical patterns are explored by visualizing and counting line segments, squares, cubes, and relationships between them. (JT)

A series of interesting mathematical applications for the greatest integer function are presented. (JT)

The curriculum for precalculus mathematics is discussed and divided into three important areas of study: polynomial algebra, exponents and logarithms, and the circular functions. (JT)

A theorem and its proof on the rationality of the base and exponent of a power, as well as the power itself, are presented. (JT)

A familiar Christmas song described as a second-year algebra problem is presented in "The Twelve Days of Christmas". Five strategies for solving inequalities are discussed in "Solving Algebraic Inequalities". (JT)

An activity involving totaling bills, completing checks and check stubs, and determining bank balances is described. (JT)

A mathematical game that reinforces basic multiplication facts, strengthens concepts of factors and multiples, and also provides arithmetic drill is described. Four variations of the game are also provided. (JT)

The probabilities of six-card poker hands are derived and compared to those of the five-card poker hands. (JT)

A problem illustrating how physics and mathematics complement one another when analyzing problems of the physical world is described. (JT)

Topics for student projects in geometry are discussed; useful references are included. (JT)

A mathematics project promoting an exploratory approach to mathematical problems as well as an organization and application of mathematical knowledge is described. (JT)

Three biorhythm cycles affecting behavior are discussed and graphed by using basic mathematical operations along with simple graphing techniques. (JT)

Eight geometric construction problems with some unusual constraints are presented and then solved using only an unmarked straightedge and a compass. (JT)