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An IBL Introduction to Geometries
This text was designed for an IBL approach to Introduction to Geometries and covers geometry topics required for secondary teacher certification. As a result it covers synthetic, transformational, and a tiny bit of analytic approaches to geometry and covers both Euclidean (parabolic), hyperbolic, and some projective geometry. Students are expected to have completed a proofs course covering proof techniques, basic set operations, and cardinality as a prerequisite.
- Author
- Mark A. Fitch
- Publisher
- University of Alaska Anchorage
- Source
- LibreTexts
- License
- GNU FDL
- Language
- EN
- Category
- Basic Sciences
Contents· 25 sections
- 01: Completeness and Consistency
- 1.01: New Page
- 1.02: New Page
- 1.3: Consistency
- 1.4: Explain and Apply
- 02: Neutral Geometry
- 2.01: New Page
- 03: Synthetic Euclidean Geometry
- 3.01: New Page
- 3.02: New Page
- 3.03: New Page
- 3.04: New Page
- 04: Transformational Geometry
- 4.01: New Page
- 4.02: New Page
- 4.03: New Page
- 4.04: New Page
- 05: Hyperbolic Geometry
- 5.01: New Page
- 5.02: New Page
- 5.03: New Page
- 5.04: New Page
- 06: Projective Geometry
- 6.01: New Page
- 6.02: New Page