This book contains three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available math…

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)

Reported are several attempts to approximate Pi by using a microcomputer to calculate the ratio of the perimeter to the diameter of regular polygons enscribed in a circle. Three computer programs are listed. (MNS)

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

An application of spreadsheets, not specific to any particular spreadsheet, is provided. It provides an exploration involving numbers in the form of 3x3 magic squares and 3x3 magic cubes. Strategies for their use are noted. (MNS)

Given is an example of the solution of maximum-minimum problems by replacing differentiation techniques with microcomputers and simple BASIC programs. (MNS)

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)

A realistic problem is presented, computing the probability of winning a sports playoff series if the probability if winning a single game is known. Only simple permutation formulas and some basic logic are required to solve the problem. Two computer programs and a discussion of solution methods are included. (MNS)

Several examples of mathematical diagnosis using microcomputer software are presented, with possible future considerations suggested. Three limitations of the software are discussed. (MNS)

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

A report on the use of microcomputers is summarized, with recommendations on algorithms and procedures, the value of short programs, programs designed for general distribution, mathematical utilities, and developments in hardware. (MNS)

Some background information and guidelines on computer generation of random numbers is presented. Sections concern ways of generating random numbers and descriptions of statistical tests. (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)