Discusses students' uses of certain programs, in contrast to writing them. Three programs are discussed: one on nonreal roots, one on dividing polynomials by quadratic polynomials, and one on "unfactoring." (MNS)

Computer algebra systems are described. Features of such systems and information on MACSYMA, Maple, muMath, REDUCE, and SMP are given. (MNS)

Described is a computer program that uses an interesting matrix method to generate Pythagorean triples. Program listings and output for two programs are included. (MNS)

Presents an example of mathematics from an algorithmic point of view, with emphasis on the design and verification of this algorithm. The program involves finding roots for algebraic equations using the half-interval search algorithm. The program listing is included. (JN)

A problem on speed of travel is stated in general terms to provide practice in algebraic manipulation while maintaining a sense of real-world usefulness. A computer program is listed. (MNS)

Students can learn to make algebra, trigonometry, and geometry work for them by using matrices to rotate figures on the graphics screen of a graphing calculator. Includes a software program, TRNSFORM, for the TI-81 graphing calculator which can draw and rotate a triangle. (MKR)

Presents several examples of algebraic word problems and demonstrates how spreadsheets are used to solve the problems. Spreadsheet templates are included to illustrate how each problem is solved. (MBR)

Reviews two science computer software packages (on time and seasons and on maps) and three mathematics packages (on solving equations and inequalities, an algebraic coordinate game, and statistics). In addition to descriptions of the contents of each, comments indicate weaknesses and strengths. (MNS)

Discusses computer solutions for factoring problems. Includes listing for (1) a program that multiplies two user-chosen factors (X-R times X-S) and allows subsequent multiplications by more linear factors and (2) a program which computes P(X)/(AX plus B), where P(X) is a user-chosen polynomial and AX plus B is a user-chosen divisor. (JN)

Shows how to solve the Diophantine equation (x-squared plus y-squared equals z-cubed) with only one literal symbol. Listings of computer programs used in the solution are included. (JN)

An efficient division algorithm is developed, using a computer program, to convert any positive fraction to its decimal representation. The computer program listing is included. (MNS)

Three pieces of computer software are described and reviewed: HyperCard, to build and use varied applications; Iggy's Gnees, for problem solving with shapes in grades kindergarten-two; and Algebra Shop, for practicing skills and problem solving. (MNS)

Explores a particular method of searching for roots that lends itself well to discovery learning through writing a computer program. The teacher-student interaction is given, and two computer program listings are included. (MNS)

Curiosities offer an interesting alternative to traditional methods of attacking problems. An illustrative situation is given, with graphical, computer, and analytical methods used to solve the problem. (MNS)

A method for solving polynomial equations is discussed that relies on the user's seeing approximations to the roots of the equation. The equation is then manipulated to improve on that approximation. A computer program is included. (MNS)