Explores the following classical problem: given any 30 points on a circle, join them in pairs by segments in all possible ways. What is the greatest number of nonoverlapping regions into which the interior of the circle can be separated? Presents strategies for solving this problem. (PK)

Quilt-making is presented as an activity that helps elementary school children recognize and appreciate geometry in their world while developing their problem-solving skills. Students choose an appropriate pattern and cooperatively make the quilt. Related measurement questions and problems are provided. (MDH)

In the manufacturing industry, many complex tasks are taught through an apprenticeship program; the experience and expertise gained through years of practice is invaluable to the industry and can be lost if not properly captured and transferred. This paper reports on the design of a training system that combines the use of computer-based…

The course will appeal to those senior high school students interested in clothing pattern development and those interested in careers in fashion design. The course provides the opportunity for the fashion design student to work with half scale basic patterns used for making garments. The student learns by the flat pattern principles how to alter…

Designed to meet the job-related metric measurement needs of metal patternmaking students, this instructional package is one of eight for the manufacturing occupations cluster, part of a set of 55 packages for metric instruction in different occupations. The package is intended for students who already know the occupational terminology,…

Discusses six activities from concrete to abstract related to geometric patterns. The stages of the activities are familiarization, starting point, walkabout, do-it-yourself, and investigation. Provides pictures of diverse patterns. (YP)

Describes some developmental changes in children's free creations with pattern blocks and demonstrates how to build on this natural interest to teach Logo programing. (PK)

Four activity workshops are suggested which might be used for several different purposes. The reproducible worksheets address clock patterns, patterns with tides, extending Pythagoras, and fractions extended. (PK)

This updated reprint of a classic work presents design analysis of geometric patterns and information helpful to constructing mathematical drawings of industrial and achitectural features. Both simple and complex designs are given. Problems combine both algebra and geometry. The work is divided into six chapters which are further divided into…

This curriculum guide is designed to be used for creating programs in automated machining education in Connecticut. The first sections of the guide are introductory, explaining the importance of computer-numerically controlled machines, describing the industrial arts scope and sequence for kindergarten through adult levels, describing the…

Includes patterns for and a brief discussion of the polyhedra: octahedron, tetrahedron, dodecahedron, cuboid, prism, and star. (PK)

Discusses the golden ratio and how to make golden triangles using recursive Logo programs. Presents some outputs of the Penrose tile patterns. (YP)

This publication provides information on occupations in industrial metalworking in the Federal Republic of Germany. Section I contains the German vocational training regulations for these occupations, including an overview of training, examinations, reorganization of the industrial metalworking trades, and characteristic features of the new…

Creating with fabrics, yarns, and fibers--from early basic explorations in handling an assortment of cloths and trimmings, through experiments with stitching and weaving, to the designing and making of bags, hats, and costumes that children can use--is the focus of this curriculum guide. For each grade (2-6), guidelines are provided on (1)…

Investigates the arithmetic curiosity that when any integer is raised to the fifth power, the digits unit of the result is always the same as the digits unit of the original number. Explores results in number bases other than 10 via the computer. (PK)