Points out the benefits of students using LOGO with problems dealing with vectors and matrices. Provides examples of performing linear algebraic computations in LOGO. (ML)

Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Difficulties in implementing the EXCHECK/Voice Oriented Curriculum Author Language (VOCAL) System, a general program designed for university-level computer-assisted instruction in mathematics and science written in the VOCAL language, are presented in terms of informal mathematical procedures, audio and prosodic features, and a schedule of…

Provides a short BASIC program, RANVAR, which generates random variates for various theoretical probability distributions. The seven variates include: uniform, exponential, normal, binomial, Poisson, Pascal, and triangular. (MVL)

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

Describes mathematical problems which occur when using the computer as a calculator. Considers errors in BASIC calculation and the order of mathematical operations. Identifies errors in spreadsheet and calculator programs. Comments on sorting programs and provides a source for Mathemagical Black Holes. (MVL)

Discusses dimensionality in Euclidean geometry. Presents methods to produce fractals using LOGO. Uses the idea of self-similarity. Included are program listings and suggested extension activities. (MVL)

Considers activities that use LOGO to slide, turn, and flip the "turtle." Uses non-LOGO tools such as cutouts, pattern blocks, and tangrams to enhance the motion work. Provides examples and programs with explanations. (MVL)

Presents a program for the Apple II computer that teachers can use for exam questions and homework assignments. Prints out all cubic polynomials whose roots, maximum and minimum points, and points of inflection are all integers. (MVL)

Reports on a study designed to further investigate whether structured Logo learning experiences would have a positive influence on student understanding of selected basic geometry concepts. Results indicated more than just one year of Logo instruction would be needed to improve students understanding of simple angle and distance concepts. (TW)

Uses a LOGO program and probability to solve systems of equations. Provides a physical model and a LOGO model. Lists programs and explains the methodology used. (MVL)

Provides a method to use superscripts and subscripts on the screen by using graphics screen modes. Gives two methods and provides a listing of a sample BASIC program. (MVL)

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)