Educator Snapshots
George Hart
Zome Geometry
Hands-on Learning with ZomeTM Models
When students discover relationships in something they have built themselves, they understand and remember the concepts. Create mathematically fascinating and visually exciting structures with Zome Geometry and the Zome SystemTM model-building components based on the Fibonacci numbers and the golden mean.
Bring Your Students into the Zome Zone
The carefully sequenced lessons challenge and guide students as they build a variety of models. Questions lead students to reflect on the relationships they see in the models. Using the more than 60 easy-to-follow activities and over 150 explorations of Zome Geometry, you will help your students build spatial, conceptual, visualization, and geometric skills as they
- Explore a wide variety of geometry topics, including proportion, symmetry, area, volume, and coordinates
- Learn to prove that there are only five Platonic solids and analyze the 13 Archimedean solids
- Discover Euler's theorem and verify Descartes' theorem of angular deficit
- Investigate interesting topics such as space filling, duality, fractals, and the fourth dimension
Zome Geometry introduces students to a beautiful part of geometry, gives them a chance to apply ideas they have learned in other math classes, and helps them to make interesting connections among different parts of mathematics.
Extensive Teacher Support
Written by George W. Hart, a mathematician and artist, and Henri Picciotto, an innovative teacher, the activities are based on a deep understanding of polyhedra and practical classroom experience. Each lesson contains blackline activity masters, teacher notes, answers, and solutions. Eight full-color images of Zome models are provided, ready for classroom display.
Use Zome Geometry to supplement your geometry textbook or build an elective course around it. The prerequisites and the specific curricular connections (from geometry, trigonometry, algebra, and more) are listed in the teacher's notes at the beginning of each unit. Zome Geometry is also an excellent source of projects for math teams, math clubs, or individual students.
Grades 8-12.
Contents
Unit 1 Angles, Polygons,Polyhedra
Unit 2 Icosahedron and Dodecahedron
Unit 3 The Platonic Solids
Unit 4 Counting Strategies
Unit 5 Symmetry
Unit 6 Euler's Theorem
Unit 7 Sum and Ratio Patterns
Unit 8 Tessellations
Unit 9 Duality
Unit 10 Descartes' Theorem
Unit 11 Cubes in a Dodecahedron
Unit 12 The Archimedean Solids
Unit 13 Zome Lengths and Angles
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Unit 14 Zonohedra
Unit 15 Area
Unit 16 Space Structures
Unit 17 Volume
Unit 18 Big Domes
Unit 19 Coordinates
Unit 20 Self-Intersecting Polyhedra
Unit 21 The Fourth Dimension
Unit 22 Stellation
Unit 23 Fractals
Unit 24 Proofs of Euler's and Descartes's Theorems
Unit 25 Further Explorations
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