Pattern manifests itself in many ways through properties such as symmetry, repetition, translation, and illusion. This guide, appropriate for use with grades 6-12, presents patterns that are formed entirely by straight lines, yet appear to contain or be formed by curves. Exploring these geometrical shapes offers an opportunity to discover various…

The Golden Section, also known as the "Golden Mean" and the "Divine Proportion," is a ratio found in art and nature that has mathematical properties. This book explores these geometric and algebraic properties in a variety of activities. Construction problems, designs using the pentagon and pentagram, and opportunities to work…

Mathematics can be used to analyze musical rhythms, to study the sound waves that produce musical notes, to explain why instruments are tuned, and to compose music. This book explores the relationship between mathematics and music through proportions, patterns, Fibonacci numbers or the Golden Ratio, geometric transformations, trigonometric…

This document contains teacher's materials for a seven-unit secondary education vocational home economics course on textiles and apparel design. The units cover: (1) fiber/fiber characteristics and textile development (including fabrication and dyeing, printing, and finishing); (2) textile and apparel design industries (including their history and…

This document presents activities and information related to Fibonacci numbers, which are based upon the Golden Ratio, in areas of the arts, sciences, and mathematics. The work is organized into eight chapters: (1) "Origins and Definitions"; (2) "Fibonacci Numbers in Nature"; (3) "Fibonacci Numbers in Art and…

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…

A project was undertaken to identify machine shop occupations requiring workers to use computers, identify the computer skills needed to perform machine shop tasks, and determine which software products are currently being used in machine shop programs. A search of the Dictionary of Occupational Titles revealed that computer skills will become…

This program guide identifies primary concerns in the organization, operation, and evaluation of a basic cabinetmaking and millwork program. The guide begins with the Dictionary of Occupational Titles occupational description. A section on program content presents the curriculum framework that contains major concepts/content, laboratory…

This program guide identifies primary concerns in the organization, operation, and evaluation of a cabinet making and millwork program. The guide begins with the Dictionary of Occupational Titles occupational description. A section on program content presents the curriculum framework that contains major concepts/content, laboratory activities,…