Described is a method of teaching mathematics using workcards. Detailed descriptions of materials used and of classroom organization are included. (MP)

Three examples illustrate a method for solving word problems: guess a solution, write an expression to check the guess, and substitute a variable for the guess in the expression. (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 computer program is given that will guess any number between 1 and 1,000,000 in no more than 20 guesses. Suggestions and materials for related instruction are included. (MP)

Suggestions are given for using the calculator in junior high classrooms. Square roots, factoring, and percentages are some topics discussed. A worksheet is included. (MP)

Algorithms for generating random numbers are discussed along with disadvantages. A program for a programable calculator is given that overcomes those disadvantages. (MP)

An example illustrates the role of a student as thinker and machine as doer. An algorithm carried out by hand is faster than the computer algorithm. (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)

A different method for solving quadratic equations and inequalities is proposed. The method is applicable to solving quadratics over the set of real numbers as well as the complex field. (JT)

Performance objectives for precalculus mathematics are listed after a look at the content of current calculus courses. (JT)

The origin of the magic square, its numerical concepts, and some procedures for its construction are discussed. (JT)

A combination of trigonometry and algebra is used to focus on the concept of congruent triangles. (JT)

The topics discussed are, "Helping Students Understand the Distributive Property,""Converting from Base 10: Nonintegral Bases?,""Rapid Mental Squaring of Mixed Numbers," and "Some Nonstandard Binary Operations and their Properties." (JT)