Discusses Newton's method for approximating the roots of functions, indicating that students who program in BASIC can learn and appreciate the method by writing their own programs. Includes a hypothetical dialogue between teacher and student about the topic; sample program listings; and problems assigned to students who have written programs. (JN)

Provides computer programs (for Apple microcomputers) for drawing (in high resolution graphics) a three-leaved rose, concentric circles, circumscribed and inscribed astroids. Sample output and discussions of the mathematics involved in the programs are included. (JN)

Presents historical comments related to these terms: absolute value, add, algebra, algorithm, calculus, ellipse, fraction, hyperbola, logarithm, mantissa, multiply, operations, parabola, radian, root, sine, and trigonometry. Suggests that students become involved in mathematics history projects. (JN)

A salary plan based on the supply and demand for teachers is advocated, using an index calculated each year. (MNS)

Considered are what discrete mathematics includes, some parallels and differences between new math and discrete mathematics (listed in a table), and lessons to be learned. A list of references is included. (MNS)

Patterns resulting from polygonal numbers are explored, with examples of triangular, square, pentagonal, rectangular, and other numbers. Tables and formulas to be developed are included. (MNS)

Deriving all Pythagorean triples from simple patterns within an addition table is presented, with formulas included. (MNS)

Using sweeps to find areas, applications of reflections to miniature golf, and zeroing in on zeroes are each considered in the brief articles in this department. (MNS)

Activities focus on the use of computers as an instructional tool. Three worksheets provide experiences with: perimeter and areas of squares; area of parallelograms and triangles; and properties of triangles. A Logo computer program is included. (MNS)

Eleven experiments are presented, extending ideas for graphing functions presented in two previous articles. Computer program listings are included. (MNS)

Discoveries of Charles Babbage in the 1800s are described. Origins of the difference engine, his calculating machine, the principles of computation applied to tables, and the design and construction of his engine are included. (MNS)

Presented are recommendations from a conference on two-year college mathematics, relating to the curriculum and new technologies, collaborative efforts with secondary schools and post-secondary groups, and faculty development and renewal. (MNS)

Two specific cases involving Pascal's Problem of the Points are discussed, followed by a solution in the general case. (MNS)

Four answers to a probability problem involving a perceived coincidence are discussed. (MNS)

A real-life problem involving a greenskeeper needing to know the area of golf greens is presented, with solutions using a scale drawing, Maple's methods, and Heron's formula. Methods are checked with a computer and discussed mathematically. Three computer program listings are included. (MNS)