Euclidean Geometry: A Guided Inquiry Approach (MSRI Mathematical Circles Library) - Softcover

David M. Clark

Softcover

ISBN 10: 0821889850 ISBN 13: 9780821889855

Publisher: American Mathematical Society & Mathematical Sciences Research Institute (MSRI), 2012

Synopsis

Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean geometry. In this book, David Clark develops a modern axiomatic approach to this ancient subject, both in content and presentation. Mathematically, Clark has chosen a new set of axioms that draw on a modern understanding of set theory and logic, the real number continuum and measure theory, none of which were available in Euclid's time. The result is a development of the standard content of Euclidean geometry with the mathematical precision of Hilbert's foundations of geometry. In particular, the book covers all the topics listed in the Common Core State Standards for high school synthetic geometry. The presentation uses a guided inquiry, active learning pedagogy. Students benefit from the axiomatic development because they themselves solve the problems and prove the theorems with the instructor serving as a guide and mentor. Students are thereby empowered with the knowledge that they can solve problems on their own without reference to authority. This book, written for an undergraduate axiomatic geometry course, is particularly well suited for future secondary school teachers. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

About this title

About the Author

David M. Clark is at State University of New York, NY, USA.

Review

An interesting and singular approach of the Euclidean geometry is contained in this book . . . [The] book covers all the topics listed in the common core state standards for high school synthetic geometry . . . [T]he didactical approach of the large collection of problems, solutions and geometrical constructions is very important to consider it as a good textbook for teaching and learning synthetic geometry. --Mauro Garcia Pupo, Zentralblatt MATH

Edition details

• Publisher: American Mathematical Society & Mathematical Sciences Research Institute (MSRI)
• Publication date: 2012
• Language: English
• ISBN 10: 0821889850
• ISBN 13: 9780821889855
• Binding: Paperback
• Number of pages: 127