Exploring Hyperbolic Geometry
Keywords:
Hyperbolic geometry, Euclidean geometry, WebSketchpad, Interactive Geometry SoftwareAbstract
The author describes an investigative approach to some basic concepts of hyperbolic geometry for high school students. As undergraduate students, most teachers have had a proof-based understanding of hyperbolic geometry. With the use of WebSketchpad, a free on-line dynamic geometry application, students and teachers can experiment with ideas from hyperbolic geometry that lay a foundation for the proofs.
References
REFERENCES
Common Core State Standards Initiative - Mathematics. Found at http://www.corestandards.org/Math/.
Joyce, D. (1998). Euclid’s Elements found at http://aleph0.clarku.edu/~djoyce/elements/bookI/bookI.html#posts
Nethington, A. (2019). Achieving Philosophical Perfection: Omar Khayyam’s Successful Replacement of Euclid's Parallel Postulate. Retrieved from https://www.maa.org/sites/default/files/images/upload_library/46/HOMSIGMAA/2019-Amanda%20Nethington.pdf
Non-Euclidean Geometry: The History of Non-Euclidean Geometry. Retrieved from https://science.jrank.org/pages/4702/Non-Euclidean-Geometry-history-non-Euclidean-geometry.html
Struik, D. (1987). A Concise History of Mathematics. Dover Publications, Inc. Mineola, NY.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Todd O Moyer
