The Mathematics of Wallpaper

CONTENTS OF CURRICULUM UNIT 10.04.08

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Background Knowledge
  4. Strategies
  5. Activity One
  6. Activity 2
  7. Activity 3
  8. Materials for Classroom Use
  9. Bibliographies
  10. Implementing District Standards
  11. Objectives
  12. Works Cited

Making Connections in Symmetry

Katherine Grace Radcliff

Published September 2010

Tools for this Unit:

Bibliographies

Annotated Bibliography for Teachers

Barker, William, and Roger Howe. Continuous Symmetry. Providence: American Mathematical Society, 2007. This textbook is much more in depth than what elementary students need to know, but it provides comprehensive background information for teachers. It also contains pictures of wallpaper and frieze pattern groups.

Britton, Jill, and Dale Seymour. Introduction to Tessellations. New York: Dale Seymour Publications, 1986. This book explores elementary tessellations with polygons and other kinds of tessellations. It includes instructions on how to create your own tessellations.

Britton, Jill. Symmetry and Tessellations (Investigating Patterns, Grades 5-8). New York: Dale Seymour Publications, 1999. This is another great instructional book for teachers by Jill Britton using symmetry and tessellations. It goes through the basics of symmetry and has a lot of great activities that teachers can use with their students, including reproducible activity sheets.

Chebotarevskii, B. D., and S. V. Duzhin. Transformation Groups for Beginners (Student Mathematical Library, Vol. 25) (Student Mathematical Library, V. 25). Providence: American Mathematical Society, 2004. This textbook is a college level text that can provide more in depth background knowledge for teachers.

Farmer, David W.. Groups and Symmetry: A Guide to Discovering Mathematics (Mathematical World, Vol. 5). Providence: American Mathematical Society, 1995. This book goes through explaining symmetry in a logical progression that is very reader-friendly. Teachers that aren't very familiar with symmetry would find this book easy to read with a lot of great background information about the subject area.

Libeskind, Shlomo. Euclidean and Transformational Geometry: A Deductive Inquiry. 1 ed. Boston: Jones & Bartlett Publishers, 2007. This textbook provides a great deal of detailed background information about the theorems in geometry as well as pictures that help explain vocabulary used in geometry.

Sautoy, Marcus Du. "August: Endings and Beginnings." In Symmetry: A Journey into the Patterns of Nature. New York: Harper Perennial, 2009. This novel gives some background information about symmetry in the context of a personal narrative about the author's life.

Schattschneider, Doris. M.C. Escher: Visions of Symmetry (New Edition). 2 ed. New York: Harry N. Abrams, 2004. This book can be used to provide pictures of Escher's drawings.

Annotated Bibliography for Students

Hohenwarter, Markus. "GeoGebra." GeoGebra. http://www.geogebra.org. This website is where students can download the geometry program to complete Activity One.

Libbrecht, Ken. Ken Libbrecht's Field Guide to Snowflakes. 1st ed. Stillwater: Voyageur Press, 2006. This book explores the symmetry found in snowflakes. Students could use it for their research during Activity Three.

Kalman, Bobbie. What Is Symmetry in Nature? (Looking at Nature). New York: Crabtree Publishing Company, 2010. Students can use this book for research on symmetry in nature for Activity Three.

Moskal, Greg. Modern Buildings: Identifying Bilateral and Rotational Symmetry (Powermath). New York: Rosen Publishing Group, 2004. Students could use this book for research on symmetry in architecture for Activity Three.

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