Presents various exercises and programs to demonstrate how low-resolution graphics (for Apple microcomputers) can be utilized in the mathematics classroom. (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)

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)

Programs for computing simple interest and compound interest are presented and discussed. (MNS)

The computer can be an effective mathematics teaching tool when combined with concrete learning materials. To be used properly in the classroom, the computer should emphasize thinking skills rather than repetitive drill and practice. (DF)

Shows how a simple spreadsheet program can be used to teach calculus concepts more effectively through simultaneous use of review questions and instructions, actual manipulation of data and formulas, and visual illustration of results. Concepts illustrated include the difference quotient and derivation of a function; difference and differential;…

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)

Presents a program listing and asks students what the program does. Also challenges them to draw a heart in LOGO (listing is included) and to match LOGO repeat statements with eight geometric shapes. Suggests using a power strip to turn off all microcomputers and monitors in the classroom. (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)

Shows that Simpson's rule can be obtained as the average of three simple rectangular approximations and can therefore be introduced to students before they meet any calculus. In addition, the accuracy of the rule (which is for exact cubes) can be exploited to introduce the topic of integration. (JN)

Discusses high resolution (hi-res) graphics programing on the Apple microcomputer, emphasizing its use in the mathematics classroom. Sample programs to plot dots and diagonals as well as programs for creating more complex visuals and patterns are included. (JN)

This report contains conference papers on geometry teaching. There were five plenary talks given and a review of Hungarian geometry teaching. The plenary talks addressed background theories of the psychology of learning such as constructivism, perceptional psychology, and motivational psychology. The themes of the 21 short talks were on a varied…