Exploring Advanced Euclidean Geometry with GeoGebra Classroom Resource Material

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Artikelmerkmale

Artikelzustand
Sehr gut: Buch, das nicht neu aussieht und gelesen wurde, sich aber in einem hervorragenden Zustand ...
Level
Advanced
ISBN
9780883857847
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
0883857847
ISBN-13
9780883857847
eBay Product ID (ePID)
166467010

Product Key Features

Number of Pages
130 Pages
Language
English
Publication Name
Exploring Advanced Euclidean Geometry with Geogebra
Subject
Geometry / General, Topology
Publication Year
2013
Type
Textbook
Subject Area
Mathematics
Author
Gerard A. Venema
Series
Classroom Resource Materials Ser.
Format
Hardcover

Dimensions

Item Height
0.5 in
Item Weight
15.2 Oz
Item Length
10 in
Item Width
7.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2013-938569
Reviews
... If you want to teach a course that conveys the joy of mathematical thinking to students, consider leading your students on a journey through Venema's book. The theorems are classics and Venema's presentation allows the reader to experience the discovery of insights, which make them all the more meaningful and memorable. An Inquiry Based Learning course based on Venema's book would be a perfect experience for any mathematics major, particularly, a person who might teach geometry later. Exploring Advanced Euclidean Geometry with GeoGebra is also a perfect book for individual or small group study. Students, teachers, or anyone who enjoys geometrical beauty can take their time and savor the many wonderful theorems that this book contains. Whether used in a classroom setting or for individual instruction, every reader of Gerard Venema's "Exploring Advanced Euclidean Geometry with GeoGebra" is in for a feast of delectable geometry." - Michael Starbird "...Exploring Advanced Euclidean Geometry with GeoGebra is written for an inquiry-based approach, with lots of exercises and just enough narrative and historical commentary to hold it all together. ... There is also much value to be mined as a supplement to other Euclidean geometry texts. ... This book would work as a sourcebook for directed study and as such is worth consideration for many academic libraries. Inquiry-minded instructors should absolutely give this some attention. Working through these exercises feels very much like the process of doing mathematics, which is about the most one can ask of a book like this. The engaged student will learn much about learning as well as geometry." - Bill Wood, MAA Reviews
Dewey Edition
23
Series Volume Number
44
Illustrated
Yes
Dewey Decimal
516.2
Table Of Content
Preface 0. A Quick Review of Elementary Euclidean Geometry 1. The Elements of GeoGebra 2. The Classical Triangle Centers 3. Advanced Techniques in GeoGebra 4. Circumscribed, Inscribed, and Escribed Circles 5. The Medial and Orthic Triangles 6. Quadrilaterals 7. The Nine-Point Circle 8. Ceva's Theorem 9. The Theorem of Menelaus 10. Circles and Lines 11. Applications of the Theorem of Menelaus 12. Additional Topics in Triangle Geometry 13. Inversions in Circles 14. The Poincaré Disk References Index About the Author
Synopsis
Provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centres, inscribed, circumscribed, and escribed circles, the nine-point circle, and the theorems of Ceva and Menelaus., This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincar disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry., This book provides an enquiry-based introduction to advanced Euclidean geometry. It utilises the dynamic geometry program GeoGebra to explore many of the most interesting theorems in the subject. Topics covered include triangle centres, inscribed, circumscribed and escribed circles, medial and orthic triangles, the nine-point circle, the theorems of Ceva and Menelaus, and many applications. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course or as a stand-alone introduction to advanced topics in Euclidean geometry. The exposition consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. The ideas are first explored at the computer and then assembled into a proof of the result under investigation, allowing readers to experience the joy of discovery and develop a deeper appreciation for the subject.", This book provides an enquiry-based introduction to advanced Euclidean geometry. It utilises the dynamic geometry program GeoGebra to explore many of the most interesting theorems in the subject. Topics covered include triangle centres, inscribed, circumscribed and escribed circles, medial and orthic triangles, the nine-point circle, the theorems of Ceva and Menelaus, and many applications. The final chapter explores constructions in the Poincaré disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course or as a stand-alone introduction to advanced topics in Euclidean geometry. The exposition consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. The ideas are first explored at the computer and then assembled into a proof of the result under investigation, allowing readers to experience the joy of discovery and develop a deeper appreciation for the subject.
LC Classification Number
QA445 .V4548 2013

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