Presents a classroom-tested, easy-to-use, multipurpose program (written in Applesoft BASIC) for graphing equations. A complete listing of the program (which is suitable for a wide range of applications in grades 7-12 mathematics classrooms) is included. (JN)

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)

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)

Discusses a computer calculus game which follows the path of a parabola in stepwise progression. The educational value of the game is a simple example of nonlinearity, a subject which is just beginning to earn some attention in the mathematical community. The Applesoft program listing is included. (JN)

Explores the use of computers for teaching mathematical models of transposition ciphers. Illustrates the ideas, includes activities and extensions, provides a mathematical model and includes computer programs to implement these topics. (MVL)

A narcissistic number is a positive integer equal to the sum of its digits raised to an integral power. For example, 15 is equal to 1-cubed plus 5-cubed plus 3-cubed (a narcissistic number of order three). A computer program to find narcissistic numbers up to 10,000 is given and discussed. (JN)

Describes several phenomena in which interesting properties of numbers are demonstrated. Includes discussions of amicable, perfect, and sociable numbers. Presents computer programs for conducting a number chain search. (RT)

Describes a process of mathematical investigation involving generalized Fibonacci sequences. Provides the derivation using expressions, BASIC programs, and numerical verification. (YP)

Describes how three dimensional LOGO was used in a workshop session for secondary pupils and mathematics teachers. Provides many commands and output drawings. (YP)

Explains graphing functions when using LOTUS 1-2-3. Provides examples and explains keystroke entries needed to make the graphs. Notes up to six functions can be displayed on the same set of axes. (MVL)

Presents an easy-to-use Applesoft BASIC program that graphs rational functions and any asymptotes that the functions might have. Discusses the nature of rational functions, graphing them manually, employing a computer to graph rational functions, and describes how the program works. (TW)

Illustrates the exploration of random and chance events with a microcomputer. Demonstrates this principle using turtle graphics, coin flips, and die rolls in a student exercise involving distance and direction on a number line. Includes the necessary LOGO programming statements to use this method. (CW)

Describes three games that one can play with or without a computer involving arithmetic, strategy, and problem solving techniques. Lists an abbreviated program for BASIC. Provides information on availability of the variable number game and the ARITHMETICULATOR which does calculations of large numbers and runs on IBM PCs. (RT)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)

Discusses several ways in which the Logo programming language can be used to experiment with and learn about matrices. Describes procedures for developing a Logo tool to establish a matrix representation, as well as others for adding, subtracting, and transposing. (TW)