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…

Patterns generated by the set of natural or counting numbers are discussed. Included are quartic, odd, square, and triangular numbers. (MK)

A problem sometimes called Moser's circle problem where a circular region has to be partitioned with chords without any three chords intersecting at one point, is discussed. It is shown that Moser's circle problem makes the students to use a variety of mathematical tools to find correct solutions to problems and gives an opportunity to think about…

This instructional guide presents the comprehensive techniques and procedures basic to quiltmaking in a format adaptable for use with elementary or secondary level students. Charts and diagrams illustrate the sequentially organized text. Information is presented in 15 chapters: (1) "Tools and Equipment"; (2)" Fabric and…

This training document outlines the apprenticeship training standards for the trade of patternmaker that have been approved by the Ontario Ministry of Skills Development. The document consists of the following: (1) skills (competencies) identified by a trade analysis development group of practicing patternmakers; (2) general performance objectives…

Two posters that can be used to provide experience in recognizing patterns in sequences of numbers are provided. Suggested number sequences for different grade levels are given. (MK)

Provides four activities asking students to observe and classify star patterns and to identify polygons and continuous paths while observing similarities and differences. Presents the objectives, directions, extensions, answers, references, and worksheet for each activity. (YP)

Describes an activity for eighth-grade students inspired by the mola designs for clothing of the Cuna people of Panama. Directs students to sketch, enlarge, and paint their own mola animal emphasizing craftsmanship, consistency, and color harmony. Explains that the students paint animals where the animal and background were broken up into…

The production and application of images based on fractal geometry are described. Discussed are fractal language groups, fractal image coding, and fractal dialects. Implications for these applications of geometry to mathematics education are suggested. (CW)

This module uses concepts of fingerprinting to illustrate and apply selected mathematical ideas. Specifically, students participate in activities that require pattern recognition, measuring using mm and cm, and identification of similar patterns. Inking of students' prints is done. Teaching suggestions are provided. (MK)

The United States Training and Employment Service General Aptitude Test Battery (GATB), first published in 1947, has been included in a continuing program of research to validate the tests against success in many different occupations. The GATB consists of 12 tests which measure nine aptitudes: General Learning Ability; Verbal Aptitude; Numerical…

The activities presented in this guide are designed for elementary age students, and intended to provide hands-on, integrated learning experiences. A learning station format is indicated for open ended activities which include a "Preliminary Activity: Free Exploration First!", an "Introductory Activity: Architect/Builder", and…

Investigated whether 3- to 6-year-olds in a Montessori school created more symmetrical than asymmetrical designs when working with building materials. Found that symmetry occurred in designs of children as young as age 3, with the tendency increasing with age. Examined the need for increased use of building materials for teaching symmetry in the…

The United States Training and Employment Service General Aptitude Test Battery (GATB), first published in 1947, has been included in a continuing program of research to validate the tests against success in many different occupations. The GATB consists of 12 tests which measure nine aptitudes: General Learning Ability; Verbal Aptitude; Numerical…

The author suggests ideas intended to lead to independent study on topics including trigonometry, Pythagoras, algebra, transformational geometry, primes, and countability. The ideas are based on Islamic patterns devised using a square lattice of dots and repeated reflections. (PK)