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Exploring Geometry

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Release : 2016-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 988/5 ( reviews)

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Book Synopsis Exploring Geometry by : Michael Hvidsten

Download or read book Exploring Geometry written by Michael Hvidsten. This book was released on 2016-12-08. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author

Turtle Geometry

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Release : 1986-07-09
Genre : Computers
Kind : eBook
Book Rating : 370/5 ( reviews)

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Book Synopsis Turtle Geometry by : Harold Abelson

Download or read book Turtle Geometry written by Harold Abelson. This book was released on 1986-07-09. Available in PDF, EPUB and Kindle. Book excerpt: Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.

The Wonder Book of Geometry

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Release : 2020-10-22
Genre : Mathematics
Kind : eBook
Book Rating : 371/5 ( reviews)

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Book Synopsis The Wonder Book of Geometry by : David Acheson

Download or read book The Wonder Book of Geometry written by David Acheson. This book was released on 2020-10-22. Available in PDF, EPUB and Kindle. Book excerpt: How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.

Exploring Advanced Euclidean Geometry with GeoGebra

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Author :
Release : 2013-12-31
Genre : Mathematics
Kind : eBook
Book Rating : 847/5 ( reviews)

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Book Synopsis Exploring Advanced Euclidean Geometry with GeoGebra by : Gerard A. Venema

Download or read book Exploring Advanced Euclidean Geometry with GeoGebra written by Gerard A. Venema. This book was released on 2013-12-31. Available in PDF, EPUB and Kindle. Book excerpt: 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 Poincare 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.

Exploring Geometry

Download Exploring Geometry PDF Online Free

Author :
Release : 2016-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 821/5 ( reviews)

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Book Synopsis Exploring Geometry by : Michael Hvidsten

Download or read book Exploring Geometry written by Michael Hvidsten. This book was released on 2016-12-08. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author

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