Shows how to solve the Diophantine equation (x-squared plus y-squared equals z-cubed) with only one literal symbol. Listings of computer programs used in the solution are included. (JN)

An efficient division algorithm is developed, using a computer program, to convert any positive fraction to its decimal representation. The computer program listing is included. (MNS)

A function-graphing program is given, plus a series of experiments that students can carry out using the program. (MNS)

A program is given which offers students a chance to practice mental computation and judge the effects of various rules for formating output. (MNS)

The process of turning symbols into a mathematical sculpture has never been easier. A copy of Maple V release five and a Web browser configured with a VRML plug-in such as the Cosmo Player is necessary to do these activities. Maple V furnishes the computing environment with the capability of allowing for concentration on the mathematical…

Four years ago, the authors started to develop a self-paced mathematics learning software called NPMaths by using an authoring package called Tencore. However, NPMaths had some weak points. A development team was hence formed to develop similar software called Mathematics On Line. This time the team used another development language called…

Mathematical methods are used to study certain related Logo procedures in detail. Simple procedures with known properties are then used to build the higher-level procedures which correspond to higher-level mathematical concepts. Examples are from introductory aspects of number theory. (MNS)

Why a computer error occurred is considered by analyzing the binary system and decimal fractions. How the computer stores numbers is then described. Knowledge of the mathematics behind computer operation is important if one wishes to understand and have confidence in the results of computer calculations. (MNS)

Three pieces of computer software are described and reviewed: HyperCard, to build and use varied applications; Iggy's Gnees, for problem solving with shapes in grades kindergarten-two; and Algebra Shop, for practicing skills and problem solving. (MNS)

Addresses why the authors feel it is not inappropriate to teach about viruses in the how-to, hands-on fashion. Identifies the special features of Turbo Pascal that have to be used for the creation of an effective virus. Defines virus, derives its structure, and from this structure is derived the implemented virus. (PR)

Reviews several student-tested computer software programs for math instruction: Gameco's "Word Problem Square-Off"; "MathKeys" by MECC and Houghton-Mifflin; Davidson and Associates'"The Cruncher"; and Sunburst Communications'"Exploring Mathematics with Technology: Number and Operation Sense." (HTH)

Investigates the development of shape concepts within an instructional unit on geometric paths, including the role of noncomputer and computer interactions in that development. Concludes that the computer environment and the activities facilitated students' development of their conceptualizations of the properties of geometric shapes and their…

Discusses software for geometric construction, measurement, and calculation, and software for numerical calculation and symbolic analysis that allows for new approaches to the solution of geometric problems. Illustrates these computer-aided graphical, numerical, and algebraic methods of solution and discusses examples using the appropriate choice…

Presents ways of using different software for visualizing sampling distributions from a variety of background distributions. Random numbers are used to produce samples of given size and the mean of each is calculated. The mean and standard deviation of these means are calculated, a grouped frequency table is produced, and a histogram is generated.…

Discusses the use of the Excel computer program to develop and distribute simple models that provide a clear visual representation of a chosen probability distribution's properties to students. (ASK)