Four stages of problem solving are believed to occur in programing. Spirolaterals are discussed as specific examples of programing activity that have mathematical and programing interest. The BASIC programing language is used on the Apple II computer to provide examples of possible solutions to the problems posed. (MP)

Examples are given of computer activities in analytic geometry. (MK)

The papers in this report represent the imagination, analysis, and experiences of many people involved in recent curricular studies in secondary school mathematics. It differs from reports that seek broad agreement on conservative, traditional curricula, representing instead the point of view of those working with emerging electronic technology…

The project described in this article grew from the observation that many geometry students are unable to see anything in a diagram beyond a static presentation. A computerized microworld called "Motions" is described, with illustrations. (MNS)

Some examples are given of geometric exploration and problem solving in which Logo is the primary tool and turtle graphics is the mathematical environment. Students can explore and develop important patterns while building visual intuition. (MNS)

Presented is an annotated list of 24 references on the LOGO programing language. The information provided is intended for classroom teachers and for researchers. Topics include use of the language in classroom situations, evaluation of a LOGO training program, the educational utility of LOGO, and others. (JN)

Describes a project in which 11- to 13-year-old children used their LOGO programing experience to assist them in investigating a mathematical topic. Students initially drew frieze patterns on graph paper and then wrote LOGO program. Implications of the project for mathematics instruction are noted. (JN)

Computer technology may be a powerful support for teaching through guided inquiry, but this process still depends on teachers who often find it difficult to carry it out in classrooms. This article examines the efforts of a group of secondary school geometry teachers to shift their instruction toward guided inquiry with the use of a computer…

Describes pseudoprimitives, a set of special procedures which allow traditional geometric topics to be used within the context of LOGO. Explains how these procedures can be extended and used in junior and senior high school geometry. (PK)

This document includes a statement of 11 basic considerations for a mathematics curriculum for the gifted in grades two through eight and a series of activities appropriate for such a curriculum. The activities are grouped under five strands: (1) logic; (2) combinations (combinatorics), probability, introduction to statistics; (3) geometry,…

Many educators recommend the "Geometric Supposer" as exemplary software. This study compared the achievement of one high school class that used the software and a similar class that did not. The treatment class used the software once every 2 weeks throughout the school year. The SRA Achievement Test was used as a pretest and the Houghton-Mifflin…

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)

Previous work has identified four areas of difficulty that students seem to have with the topic of similarity: (1) understanding the definition of similarity; (2) proportional reasoning; (3) dimensional growth relationships; and (4) correspondences in right triangle similarity. This paper reports the results of an investigation into high school…

This document is designed to assist teachers and administrators in Texas in the planning and implementation of the course known as Computer Mathematics I. The philosophy and intent of the course is stated, along with credit allowed, prerequisite guidelines, guidelines for teacher preparation, suggested equipment needs, sample objectives, sample…

This curriculum guide contains materials for a 17-unit course in advanced technical drafting, a followup to the basic technical drafting course in the industrial arts curriculum for grades 10-12. It is intended for use by industrial arts teachers, supervisors, counselors, administrators, and teacher educators. A three-page course overview provides…