Exploring Advanced Euclidean Geometry with GeoGebra (Classroom Resource Materials)

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9780883857847: Exploring Advanced Euclidean Geometry with GeoGebra (Classroom Resource Materials)

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 Poincaré 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.

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Book Description:

An enquiry-based introduction to advanced Euclidean geometry using the dynamic geometry program GeoGebra that is ideal for both the computer lab and the classroom. The exposition consists mostly of exercises (with hints) that guide students as they explore some of the most interesting results in the subject.

About the Author:

Gerard Venema earned an A.B. in mathematics from Calvin College and a Ph.D. from the University of Utah. After completing his education he spent two years in a postdoctoral position at the University of Texas at Austin and another two years as a Member of the Institute for Advanced Study in Princeton, NJ. He then returned to his alma mater, Calvin College, and has been a faculty member there ever since. While on the Calvin College faculty he has also held visiting faculty positions at the University of Tennessee, the University of Michigan, and Michigan State University. He spent two years as a Program Director in the Division of Mathematical Sciences at the National Science Foundation.

Venema is a member of the American Mathematical Society and the Mathematical Association of America. He served for ten years as an Associate Editor of the American Mathematical Monthly and currently sits on the editorial board of MAA FOCUS. Venema has served the Michigan Section of the MAA as chair and is the 2013 recipient of the section s distinguished service award. He currently holds the position of MAA Associate Secretary and is a member of the Association s Board of Governors.

Venema is the author of two other books. One is an undergraduate textbook, Foundations of Geometry, published by Pearson Education, Inc., which is now in its second edition. The other is a research monograph coauthored by Robert J. Daverman. It is titled Embeddings in Manifolds and was published by the American Mathematical Society as volume 106 in its Graduate Studies in Mathematics series. In addition to these books, Venema is author of over 30 research articles in geometric topology.

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Book Description Mathematical Association of America, United States, 2013. Hardback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAU9780883857847

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Book Description Mathematical Association of America, United States, 2013. Hardback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAU9780883857847

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Book Description Mathematical Association of America, 2013. Book Condition: New. An enquiry-based introduction to Euclidean geometry that uses the geometry program GeoGebra to explore many advanced results in the subject. Series: Classroom Resource Materials. Num Pages: 186 pages, illustrations. BIC Classification: PBM; PBMH. Category: (U) Tertiary Education (US: College). Dimension: 261 x 181 x 13. Weight in Grams: 424. . 2013. Hardcover. . . . . . Bookseller Inventory # V9780883857847

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Book Description Mathematical Association of America. Book Condition: New. An enquiry-based introduction to Euclidean geometry that uses the geometry program GeoGebra to explore many advanced results in the subject. Series: Classroom Resource Materials. Num Pages: 186 pages, illustrations. BIC Classification: PBM; PBMH. Category: (U) Tertiary Education (US: College). Dimension: 261 x 181 x 13. Weight in Grams: 424. . 2013. Hardcover. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780883857847

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