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College Geometry: A Problem Solving Approach with Applications

Vikki Maurer, Lynn E. Trimpe, Gary L. Musser, Lynn E. Trimpe

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Abstract

I. PROBLEM SOLVING, GEOMETRIC SHAPES, AND MEASUREMENT. 1. Problem Solving in Geometry. 2. Geometric Shapes and Measurement. 3. Perimeter, Area, and Volume. II. FORMAL SYNTHETIC EUCLIDEAN GEOMETRY. 4. Reasoning and Triangle Congruence. 5. Parallel Lines and Quadrilaterals. 6. Similarity. 7. Circles. III. ALTERNATE APPROACHES TO PLANE GEOMETRY. 8. Coordinate Geometry 9. Transformation Geometry TOPIC 1. Elementary Logic TOPIC 2. Inequalities in Algebra and Geometry TOPIC 3. Non-Euclidean Geometry

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What this paper is about

I. PROBLEM SOLVING, GEOMETRIC SHAPES, AND MEASUREMENT. 1. Problem Solving in Geometry. 2. Geometric Shapes and Measurement. 3. Perimeter, Area, and Volume. II. FORMAL SYNTHETIC EUCLIDEAN GEOMETRY. 4. Reasoning and Triangle Congruence. 5. Parallel Lines and Quadrilaterals. 6. Similarity. 7. Circles. III. ALTERNATE APPROACHES TO PLANE GEOMETRY. 8. Coordinate Geometry 9. Transformation Geometry TOPIC 1. Elementary Logic TOPIC 2. Inequalities in Algebra and Geometry TOPIC 3. Non-Euclidean Geometry

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Available abstract

I. PROBLEM SOLVING, GEOMETRIC SHAPES, AND MEASUREMENT. 1. Problem Solving in Geometry. 2. Geometric Shapes and Measurement. 3. Perimeter, Area, and Volume. II. FORMAL SYNTHETIC EUCLIDEAN GEOMETRY. 4. Reasoning and Triangle Congruence. 5. Parallel Lines and Quadrilaterals. 6. Similarity. 7. Circles. III. ALTERNATE APPROACHES TO PLANE GEOMETRY. 8. Coordinate Geometry 9. Transformation Geometry TOPIC 1. Elementary Logic TOPIC 2. Inequalities in Algebra and Geometry TOPIC 3. Non-Euclidean Geometry

Key concepts: Geometry, Ordered geometry, Absolute geometry, Transformation geometry, Euclidean geometry, Foundations of geometry, Non-Euclidean geometry, Geometric algebra

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