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 mathematics curriculum should be imbedded into the cultural environment of the student. Discussed is the mathematical educational potential of decorative motif. (PK)

Worksheets for duplication are provided for this activity designed for students in grades 6-10. The objective of the activity is to have students discover generalizations about the patterns formed. (MK)

Discusses the use of flexible straws for teaching properties of figures and families of shapes. Describes a way to make various two- or three-dimensional geometric shapes. Lists eight advantages of the method. (YP)

Uses pentominoes to examine the concepts of congruence, similarity, transformations, tessellations, networks, perimeter, area, and volume in a problem-solving, cooperative learning environment. Discusses the construction of three-dimensional pentominoes. (YP)

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…

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)

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)

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…

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)

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)

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)