Presents 12 problems for students to investigate the relationships involving properties of numbers by using BASIC language. (YP)

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)

P-adic or g-adic sets are sets of elements formed by linear combinations of powers of p, a prime number, or g, a counting number, where the coefficients are whole numbers less than p or g. Discusses exercises illustrating basic numerical operations for p-adic and g-adic sets. Provides BASIC computer programs to verify the solutions. (MDH)

Presents a method for using matrix algebra and computers to encode and decode secret messages. Provides examples of coding procedures, a short review of matrix multiplication, and a BASIC program for use with secret messages containing up to 1000 numbers. (RT)

Presents the Morris Loe Angle Trisection Approximation Method to introduce students to areas of mathematics where approximations are used when exact answers are difficult or impossible to obtain. Examines the accuracy of the method using the laws of sines and cosines and a BASIC computer program that is provided. (MDH)

The purpose of this paper is to show, by computer examples, that very different results can be obtained by rearranging selected conditionally convergent series. Computer programs allow the students to select the real number to which they wish the rearrangement to converge. Two computer programs are appended. (KR)

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 examples of student-centered activities for exploring mathematical induction using BASIC programs or spreadsheets. Discusses the advantages of using this medium to teach the concept and provides computer programs for the activities. (MDH)

Includes a list of favorably reviewed microcomputer software designed to be used in instructing students in kindergarten through grade 12. Developed as an aid to educators in previewing software, the list provides the name, type, cost, publisher, and grade level for instructional software in science and mathematics. (TW)

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

Described is an activity that incorporates a computer, geometry, algebra, trigonometry, and calculus to answer questions about the planet Mars. A possible crescent of Mars is compared to those of Venus and Mercury. (KR)

Provides examples of such statistical graphs as line, bar, picture and pie. Suggests uses of Logo Turtle Graphics in graph construction. Includes several program procedures for creating designs with the computer. (RT)

Described is a strategy that allows students to experiment with probability without applying formulas to solve problems. Students are able to intuitively develop concepts of probability before formal definitions and properties. Sample problems are included along with BASIC programs for some of the problems. (KR)

An activity that shows how mathematics can be used to model events in the real world is described. A way to calculate the area of the sun covered by the moon during a partial eclipse is presented. A computer program that will determine the coverage percentage is also included. (KR)

Describes an activity which uses the computer to produce an environment that encourages an inductive reasoning approach to ratio and proportion through a billiard ball simulation. Provides examples of graphs and bouncing ball data. (RT)