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)

When students first meet the concepts of mean and standard deviation, it is desirable that data be generated on the spot by the students themselves. How this can be done with a microcomputer is presented. The program for "Stop the Stars" is included. (MNS)

Four computer programs (Applesoft Basic) on prime numbers are described, including programs for factoring a positive integer as a product of primes, listing all divisors of a given A, and for exploring primes representable as prescribed sums/differences involving squares, cubes, Fibonnaci numbers, or other primes. Program listings are included.…

Microcomputer programs that help students calculate permutations and combinations are developed. Listings of five programs are included. (MNS)

Three activities with Knuth functions are discussed and illustrated, with sample computer programs listed. (MNS)

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)

The curved intersections of conics with planes are described. Two computer programs are given to enable students to simulate the "explosion" of ellipses into parabolas and then into hyperbolas. (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)

A function-graphing program is given, plus a series of experiments that students can carry out using the program. (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)

Presents an Applesoft computer program to help students translate abstract sentences into concrete visible lines and thereby discover and confirm facts about slopes, intercepts, angles, and intersections. The program graphs and analyzes lines, given as equations of the form Y equals M times X plus B. (JN)

The study of number bases, facilitated by programing a microcomputer, helps students make mathematics discoveries. Several programs are given and discussed. (MNS)

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

Having students try to generate their own random numbers can lead to much discovery learning as one tries to create 'patternlessness' from formulas. Developing an equidistribution test and runs test, plus other ideas for generating random numbers, is discussed, with computer programs given. (MNS)

A computer program is presented which simulates the classical probability machine, using Applesoft II high-resolution graphics. Many variables are left to the user's choosing. Suggestions for using the machine, understanding the problem, the mathematical model, and further program documentation are given. (MNS)