College Geometry: Using the Geometer's Sketchpad (Version 5)

ISBN-13: 9780470534939 / Angielski / Miękka / 2011 / 380 str.

Barbara E. Reynolds; William E. Fenton

Opis

From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using The Geometer's Sketchpad. The book's truly discovery-based approach guides readers to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, readers hone their understanding of geometry and their ability to write rigorous mathematical proofs.

Spis treści

PREFACE xv

ONE Using The Geometer s Sketchpad 1

TWO Constructing Proving 21

THREE Mathematical Arguments and Triangle Geometry 53

FOUR Circle Geometry and Proofs 85

FIVE Analytic Geometry 111

SIX Taxicab Geometry 143

SEVEN Finite Geometries 161

EIGHT Transformational Geometry 185

NINE Isometries and Matrices 209

TEN Symmetry in the Plane 229

ELEVEN Hyperbolic Geometry 253

TWELVE Projective Geometry 287

APPENDIX A Trigonometry 317

APPENDIX B Calculating with Matrices 329

BIBLIOGRAPHY 337

INDEX 341