How a computer randomly generates numbers to turn off lighted blocks on a graphics display is discussed. A computer program is given after reviewing a definition and two theorems and applying them to the problem. (MNS)

Discusses the use of microcomputers and software as problem-solving tools, including comments on "TK! Solver," automatic problem-solving program (reviewed in detail on pp.84-86 in this same issue). Also discusses problem-solving approaches to bridge the disciplines, such as music/physics, junior high science/mathematics (genetics),…

A brief introduction to the broad field of curve-fitting is provided to help explain the reasoning behind least-squares data fitting, and also to provide useful equations for two functional forms of interest in chemistry. Appendices give program examples written in Fortran and detail the method of Guggenheim. (MP)

The computer is in the process of becoming an important aid to the teaching of statistics and probability at the middle and secondary levels. Examples show ways in which the computer can facilitate learning of mathematical concepts through tutoring, simulation, and computation. (JN)

Experts' perceptions of mathematical problem structures were compared with students' perceptions before and after a course on mathematical problem solving. After the course the students perceived problem relatedness more like the experts, indicating that criteria for problem perception shift as a person's knowledge bases become more richly…

A hungry worm is looking for something to eat according to very specific rules, and the path he takes is a graph. The problem is detailed in Applesoft BASIC using low resolution graphics for worms that turn 90 degrees and high resolution for worms that can turn 45 degrees. (MP)

Examples of student-developed methods for dividing fractions and dividing and multiplying whole numbers are presented. Both are selected to show mathematical creativity in general mathematics students which would often be overlooked. (MP)

A computer-generated game called Fish Chase was developed to present drill-and-practice exercises on addition facts. The subjects of the study were 19 second-grade pupils. The results indicate a computer game can be used effectively to increase proficiency with basic facts. (MP)

Activities designed to lead pupils through the process of using the basic measuring and drawing devices of geometry are presented and move to the discovery of several surprising generalizations about arbitrary triangles. (MP)

Discussed are the results of the second National Assessment of Educational Progress (NAEP) mathematics assessment concerning children's ability to solve verbal problems. The data indicate that the commonly held view that children cannot solve word problems may be an oversimplification. (Author/TG) Aspect of National Assessment (NAEP) dealt with in…

Described are activities and games incorporating a technique of "one step" which is used with children with learning difficulties. The purpose of "one step" is twofold, to minimize difficulties with typical trouble spots and to keep the step size of the instruction small. (Author/TG)

Investigated was student inability to understand mathematics across concepts, focusing on the processes by which students solve problems. In-depth clinical interviews were used with students during ninth-grade general mathematics. Mathematical abilities investigated were information gathering, generalization, reversibility, flexibility, and…

A special calendar chart is presented that can be used to find out what day of the week any date falls on during the 1980s. (MP)

The idea that females may be born with less mathematical ability than males is explored. Data from Benbow and Stanley, as well as from the Education Commission of the States, are considered. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

The process skills discussed include: observation; estimation; communication; mensuration; and graph construction and interpretation. Two activities for grade 6 and beyond are suggested. (MK)