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

In one school, algorithmic development has been infused in the mathematics curriculum. An example of what occurs in mathematics classes since the teachers began using the computer is given, with two students' conjectures included as well as the algebraic justification. (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)

The progression from simple interest to compound interest leads naturally and quickly to the number e, involving mathematical discovery learning through writing programs. Several programs are given, with suggestions for a teaching sequence. (MNS)

Presents three problems, each with a computer solution in BASIC programming language: (1) finding sum equals product for three-digit numbers; (2) finding cases of improper cancellation that give a correct answer; and (3) finding perfect numbers. Some suggestions for further investigation are included. (JN)

Described is a simple algorithm that can be used for the input, arithmetic manipulation, and output of large integers in their exact representations. Three BASIC programs are included that apply this method to the problem of multiplication of large integers, computation of factorials, and the generation of palindromic integers. (MNS)

Offers examples of loss of accuracy when using digital computing devices. Discusses causes for loss of accuracy and methods of preventing loss. Presents implications that loss of accuracy has for mathematics instruction. (MDH)

Abundant and deficient positive integers are investigated, with a computer program listed. (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)

Included in this section are brief articles on an algebraic puzzler, periodic decimal fractions with computers, and the arrow method of teaching logarithms. (MNS)

A programing contest was designed to promote interest in mathematical randomness. Student-developed programs making clever uses of random numbers are presented. Modifications users might make are suggested. (MNS)

Brief articles on producing videotapes of the execution of a program on a microcomputer, an illustration of the sums of numbers and squares, and the distance from a point to a line are included. (MNS)

Programs are listed for integer powers and fractional powers, with discussion of how to use them in instruction. (MNS)

Programing a microcomputer to solve problems in whole-number arithmetic, rather than using the built-in operations of the computer, is described. Not only useful, it also enhances important mathematical concepts and is adaptable to a range of student abilities. (MNS)