Description
Book SynopsisFrom two authors who embrace technology in the classroom and value the role of collaborative learning comes
College Geometry Using The Geometer''s Sketchpad, a book that is ideal for geometry courses for both mathematics and math education majors. The book''s truly discovery-based approach guides students to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, students hone their understanding of geometry and their ability to write rigorous mathematical proofs.
Table of ContentsPREFACE 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
