Full Axiomatic Development of High School Geometry

David Clark holds the rank of SUNY Distinguished Professor Emeritus at the State University of New York, New Paltz.  He has published many articles and two books in universal algebra, mathematical logic, topological dualities and evolutionary computation. David has authored two other guided inquiry textbooks for future teachers, a real analysis text and an elementary text on Euclidean geometry. He is a founding editor of the Journal of Inquiry-Based Learning in Mathematics which publishes guided inquiry manuals for a wide range of courses. Samrat Pathania is a former software engineer who currently teaches mathematics, physics, and computer science at Wallkill High School in Wallkill, New York. He is a New York State Master Teacher Emeritus and co-founder of the Educator Collective for Environmental Justice. Samrat is a passionate advocate for inquiry-based and climate solutions-centered STEM education, inside and outside the classroom. He has presented many talks and workshops on practical climate solutions. He lives in New Paltz, NY with his family in a net-zero home.

• Foundational Principles.- Neutral Geometry.- Similar Figures.- Area Measure.- Angle Measure.- Trigonometry.- Circle Measure.- Consistency and Models.- Appendix A: Axioms.- Appendix B: MCL #9.- Appendix C: Font Guide.- Appendix D: Theorem Index.- Appendix E: Notation Index.- Bibliography.- Index.

“The book is an excellent resource for geometry.” (Tara D. Taylor, Mathematical Reviews, July, 2024)“The book A Full Axiomatic Development of High School Geometry focuses on the top tier in a sequence of four educational tiers of geometry beginning in preschool and primary grades, where young children gain their first experiences with abstract shapes through definitions and an assortment of geometry facts. … this book is likely to be of interest to many future secondary mathematics teachers in training.” (Frederic Morneau-Guérin, MAA Reviews, July 15, 2023)