Textbook
Geometry and SymmetryISBN: 978-0-470-49949-8
Hardcover
480 pages
April 2010, ©2010
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This new book for mathematics and mathematics education majors
helps students gain an appreciation of geometry and its importance
in the history and development of mathematics. The material is
presented in three parts. The first is devoted to a rigorous
introduction of Euclidean geometry, the second covers various
noneuclidean geometries, and the last part delves into symmetry and
polyhedra. Historical contexts accompany each topic. Exercises and
activities are interwoven with the text to enable the students to
explore geometry. Some of the activities take advantage of
geometric software so students - in particular, future teachers -
gain a better understanding of its capabilities. Others explore the
construction of simple models or use manipulatives allowing
students to experience the hands-on, creative side of mathematics.
While this text contains a rigorous mathematical presentation, key
design features and activities allow it to be used successfully in
mathematics for teachers courses as well.
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