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Discovering Geometry is designed so that you can be actively engaged as you
learn geometry. In this book you "learn by doing." You will leam to use the tools
of geometry and to perform geometry investigations with them. Many of the
investigations are carried out in small cooperative groups in which you jointly
plan and find solutions with other students. Your investigations will lead you to the
discovery of geometry properties, hi addition, you will gradually learn about proof,
a form of reasoning that will help you explain why your discoveries are true,
through Developing Proof group activities and exercises.
Discovering Geometry is designed so that both you and your teacher can have fun
while you learn geometry. It lias a lot of "extras." Each lesson begins with a quote
that I hope you will find ninny or thought provoking. I think you'll enjoy the
extra challenges in the Improving Your...Skills puzzles at the end of most lessons.
To solve each puzzle, you'll need clever visual thinking skills or sharp reasoning
skills or both. I hope you will find some of the illustrated word problems
humorous, hi the explorations you will build geometric solids, find the height of
your school building, and discover why elephants have big ears, hi the projects you
will draw the impossible, make kaleidoscopes, design a racetrack, and create a
mural. The online Dynamic Geometry Explorations help you visualize important
geometry concepts by putting them in motion, and there are graphing calculator
projects, Fathom Dynamic Data™ projects. The Geometer's Sketchpad
explorations, and web links that will allow you to practice and improve
your skills. |
