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Written by a nationally known mathematics educator, this lab manual provides activities for students using free/shareware software tools. Active Geometry offers inquiry-based, student-centered, technology-rich topical investigations into the study of geometry. The tools that Thomas includes leads students to construct, observe, conjecture, and debate their thinking. After completing the labs, students are ready for and appreciative of analytic explanations of geometric concepts.
1. CIRCLES, TRIANGLES, AND SEGMENTS IN EUCLIDEAN GEOMETRY Fundamental Concepts / Constructions / Unexpected Connections 2. EXPLORING OTHER GEOMETRIES Hyperbolic Geometry / Finite Geometry 3. TRANSFORMATION GEOMETRY Linear Transformations / Frieze Patterns / Tessellations / Geometric Patterns in Islamic Art / The Transformation of Inversion 4. PROJECTIVE GEOMETRY Fundamental Concepts / Exploring 3-D Lanscapes / Exploring Man-Made Space 5. FRACTAL GEOMETRY Introduction to Fractal Curves / The Mathematics of Fractal Curves 6. MATHEMATICS AND IMAGE PROCESSING Introduction to Remote Sensing / Investigating Mathematical Topics Using Image Analysis