Advanced Euclidean Geometry
Excursions for Secondary Teachers and Students
1. Auflage September 2008
264 Seiten, Softcover
Wiley & Sons Ltd
State curriculum standards are mandating more coverage of geometry,
as are the curricula for pre-service mathematics education and
in-service teaching. Yet many secondary teachers know just enough
geometry to stay one chapter ahead of their students! What's
more, most college-level geometry texts don't address their
specific needs.
Advanced Euclidean Geometry fills this void by providing
a thorough review of the essentials of the high school geometry
course and then expanding those concepts to advanced Euclidean
geometry, to give teachers more confidence in guiding student
explorations and questions. The text contains hundreds of
illustrations created in The Geometer's Sketchpad
Dynamic Geometry® software, and it is packaged with a CD-ROM
(for Windows®/Macintosh® formats) containing over 100
interactive sketches using Sketchpad(TM) (assumes that
the user has access to the program).
Introduction vii
About the Author ix
Chapter 1 Elementary Euclidean Geometry Revisited 1
Chapter 2 Concurrency of Lines in a Triangle 24
Chapter 3 Collinearity of Points 42
Chapter 4 Some Symmetric Points in a Triangle
77
Chapter 5 More Triangle Properties 87
Chapter 6 Quadrilaterals 116
Chapter 7 Equicircles 142
Chapter 8 The Nine-Point Circle 157
Chapter 9 Triangle Constructions 172
Chapter 10 Circle Constructions 200
Chapter 11 The Golden Section and Fibonacci Numbers 215
Index 249