Transformational Plane Geometry

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Publisher : CRC Press
ISBN 13 : 1482234718
Total Pages : 239 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Transformational Plane Geometry by : Ronald N. Umble

Download or read book Transformational Plane Geometry written by Ronald N. Umble and published by CRC Press. This book was released on 2014-12-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein’s Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid’s purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer’s Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.

The Teaching of Geometry

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Author :
Publisher :
ISBN 13 :
Total Pages : 370 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Teaching of Geometry by : David Eugene Smith

Download or read book The Teaching of Geometry written by David Eugene Smith and published by . This book was released on 1911 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A High School First Course in Euclidean Plane Geometry

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Author :
Publisher : Universal-Publishers
ISBN 13 : 1599428229
Total Pages : 166 pages
Book Rating : 4.5/5 (994 download)

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Book Synopsis A High School First Course in Euclidean Plane Geometry by : Charles H. Aboughantous

Download or read book A High School First Course in Euclidean Plane Geometry written by Charles H. Aboughantous and published by Universal-Publishers. This book was released on 2010-10 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A High School First Course in Euclidean Plane Geometry is intended to be a first course in plane geometry at the high school level. Individuals who do not have a formal background in geometry can also benefit from studying the subject using this book. The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book.

Geometry Transformed

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Publisher :
ISBN 13 : 9781470464431
Total Pages : pages
Book Rating : 4.4/5 (644 download)

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Book Synopsis Geometry Transformed by : James Richard King

Download or read book Geometry Transformed written by James Richard King and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Many paths lead into Euclidean plane geometry. Geometry Transformed offers an expeditious yet rigorous route using axioms based on rigid motions and dilations. Since transformations are available at the outset, interesting theorems can be proved sooner; and proofs can be connected to visual and tactile intuition about symmetry and motion. The reader thus gains valuable experience thinking with transformations, a skill that may be useful in other math courses or applications. For students interested in teaching mathematics at the secondary school level, this approach is particularly useful sinc.

The Four Pillars of Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 0387255303
Total Pages : 240 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Four Pillars of Geometry by : John Stillwell

Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

The History of the Geometry Curriculum in the United States

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Publisher : IAP
ISBN 13 : 1607527308
Total Pages : 114 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis The History of the Geometry Curriculum in the United States by : Nathalie Sinclair

Download or read book The History of the Geometry Curriculum in the United States written by Nathalie Sinclair and published by IAP. This book was released on 2008-02-01 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume investigates the evolution of the geometry curriculum in the United States over the past 150 years. A primary goal is to increase awareness of the shape and nature of the current geometry curriculum by explaining how things have come to be as they are. Given the limited access to first-hand accounts of the enacted geometry curriculum during the past 150 years, the monograph relies on textbooks to provide a record of the implemented curriculum at any given point in time. Policy documents can provide insight into the choices made in textbooks by hinting at the issues considered and the recommendations made. The monograph is organized in a chronological sequence of "notable events" leading to discernable changes in thinking about the geometry curriculum over the past century and a half—roughly the extent of time during which geometry has been taught in American schools. Notable events include important reports or commissions, influential texts, new schools of thought, and developments in learning technologies. These events affected, among other things: content and aims of the geometry curriculum; the nature of mathematical activity as construed by both mathematicians and mathematics educators; and, the resources students are given for engaging in mathematical activity. Before embarking through the notable events, it is necessary to consider the "big bang" of geometry, namely the moment in time that shaped the future life of the geometry curriculum. This corresponds to the emergence of Euclidean geometry. Given its influence on the shape of the geometry curriculum, familiarity with the nature of the geometry articulated in Euclid’s Elements is essential to understanding the many tensions that surround the school geometry curriculum. Several themes emerge over the course of the monograph, and include: the aims and means of the geometry curriculum, the importance of proof in geometry, the role of visualization and tactile experiences, the fusion between solid and plane geometry, the curricular connections between geometry and algebra, and the use of motion and continuity. The intended audience would include curriculum developers, researchers, teachers, and curriculum supervisors.

Kiselev's Geometry

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Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Kiselev's Geometry by : Andreĭ Petrovich Kiselev

Download or read book Kiselev's Geometry written by Andreĭ Petrovich Kiselev and published by . This book was released on 2008 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.

Geometry

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Publisher : John Wiley & Sons
ISBN 13 : 0471680192
Total Pages : 284 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Geometry by : Steve Slavin

Download or read book Geometry written by Steve Slavin and published by John Wiley & Sons. This book was released on 2004-10-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn geometry at your own pace What are congruent circles? How do you find the hypotenuse of a triangle? What is the sum of the angles in a decagon? How can you apply geometric equations to your daily life? With the unbeatable study companion Geometry: A Self-Teaching Guide, you'll discover the answers to these questions and many more. This thorough primer presents an easy-to-follow, proven method for grasping the key concepts of geometry. You'll progress step by step through plane, solid, and analytic geometry and then move on to geometric applications for calculus. You'll build your problem-solving skills along the way through detailed examples, reviews, exercises, and answer explanations. The clearly structured format of Geometry makes it fully accessible, providing an easily understood, comprehensive overview for everyone from high school students to adult learners to math mavens. Like all Self-Teaching Guides, Geometry allows you to build gradually on what you have learned-at your own pace. Questions and self-tests reinforce the information in each chapter and allow you to skip ahead or focus on specific areas of concern. Packed with useful, up-to-date information, this clear, concise volume is a valuable learning tool and reference source for anyone who wants to improve his or her understanding of basic geometry.

Basic Geometry: Manual for Teachers

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821826921
Total Pages : 164 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Basic Geometry: Manual for Teachers by : George David Birkhoff

Download or read book Basic Geometry: Manual for Teachers written by George David Birkhoff and published by American Mathematical Soc.. This book was released on 2000 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lesson plan outline: 9 lessons Lesson plan outline: 15 lessons Lesson plan outline: 19 lessons Lesson plan outline: 12 lessons Lesson plan outline: 27 lessons Lesson plan outline: 19 lessons Lesson plan outline: 17 lessons Lesson plan outline: 6 lessons Lesson plan outline: 14 lessons Lesson plan outline: 7 lessons

The Multifaceted Nature Of Creativity In The Teaching Of Geometry

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Author :
Publisher : World Scientific
ISBN 13 : 9811218765
Total Pages : 368 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis The Multifaceted Nature Of Creativity In The Teaching Of Geometry by : Dorit Patkin

Download or read book The Multifaceted Nature Of Creativity In The Teaching Of Geometry written by Dorit Patkin and published by World Scientific. This book was released on 2020-09-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry is one of the most ancient branches of mathematics. In order to 'understand geometry', learners should be able to infer in a deductive way as well as be endowed with enhanced visual competences. These prerequisites render plane geometry and solid geometry challenging for both teaching and learning. Hence, it is essential to consider creative ways for teaching the various branches of geometry in order to respond to the varied difficulties, while fostering deductive thinking and visual competences.This book aims to provide readers with a broad knowledge of the various aspects of creativity and its assessment and to expose them to creative methods and approaches to the teaching of geometry. The content of the book is grounded in the research literature that engages in creativity in general and in creativity in teaching in particular.The chapters collected in the book present the multifaceted nature of geometry teaching in a creative-integrated way while exposing the readers to the beauty of geometry.

DIY MFA

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Publisher : Penguin
ISBN 13 : 1599639343
Total Pages : 306 pages
Book Rating : 4.5/5 (996 download)

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Book Synopsis DIY MFA by : Gabriela Pereira

Download or read book DIY MFA written by Gabriela Pereira and published by Penguin. This book was released on 2016-07-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Get the Knowledge Without the College! You are a writer. You dream of sharing your words with the world, and you're willing to put in the hard work to achieve success. You may have even considered earning your MFA, but for whatever reason--tuition costs, the time commitment, or other responsibilities--you've never been able to do it. Or maybe you've been looking for a self-guided approach so you don't have to go back to school. This book is for you. DIY MFA is the do-it-yourself alternative to a Master of Fine Arts in creative writing. By combining the three main components of a traditional MFA--writing, reading, and community--it teaches you how to craft compelling stories, engage your readers, and publish your work. Inside you'll learn how to: • Set customized goals for writing and learning. • Generate ideas on demand. • Outline your book from beginning to end. • Breathe life into your characters. • Master point of view, voice, dialogue, and more. • Read with a "writer's eye" to emulate the techniques of others. • Network like a pro, get the most out of writing workshops, and submit your work successfully. Writing belongs to everyone--not only those who earn a degree. With DIY MFA, you can take charge of your writing, produce high-quality work, get published, and build a writing career.

Geometry in Problems

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Publisher : American Mathematical Soc.
ISBN 13 : 1470419211
Total Pages : 229 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometry in Problems by : Alexander Shen

Download or read book Geometry in Problems written by Alexander Shen and published by American Mathematical Soc.. This book was released on 2016 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Euclidean geometry, with all its triangles, circles, and inscribed angles, remains an excellent playground for high-school mathematics students, even if it looks outdated from the professional mathematician's viewpoint. It provides an excellent choice of elegant and natural problems that can be used in a course based on problem solving. The book contains more than 750 (mostly) easy but nontrivial problems in all areas of plane geometry and solutions for most of them, as well as additional problems for self-study (some with hints). Each chapter also provides concise reminders of basic notions used in the chapter, so the book is almost self-contained (although a good textbook and competent teacher are always recommended). More than 450 figures illustrate the problems and their solutions. The book can be used by motivated high-school students, as well as their teachers and parents. After solving the problems in the book the student will have mastered the main notions and methods of plane geometry and, hopefully, will have had fun in the process. 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. What a joy! Shen's ``Geometry in Problems'' is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book. --James Tanton, Mathematician-at-Large, Mathematical Association of America We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience. --Mark Saul, Director of Competitions, Mathematical Association of America

Geometry and Trigonometry for Calculus

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Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Geometry and Trigonometry for Calculus by : Peter H. Selby

Download or read book Geometry and Trigonometry for Calculus written by Peter H. Selby and published by . This book was released on 1975-05-02 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: A review of plane geometry, numerical trigonometry, geometric and trigonometric analysis, and limits emphasizes the graphic representation of problems to be solved by combined methods.

The Teaching of Geometry

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Publisher : BoD – Books on Demand
ISBN 13 : 3752426918
Total Pages : 278 pages
Book Rating : 4.7/5 (524 download)

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Book Synopsis The Teaching of Geometry by : David Eugene Smith

Download or read book The Teaching of Geometry written by David Eugene Smith and published by BoD – Books on Demand. This book was released on 2020-08-13 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reproduction of the original: The Teaching of Geometry by David Eugene Smith

Treatise of Plane Geometry Through Geometric Algebra

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Publisher : Treatise of Plane Geometry
ISBN 13 : 8461191498
Total Pages : 43 pages
Book Rating : 4.4/5 (611 download)

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Book Synopsis Treatise of Plane Geometry Through Geometric Algebra by : Ramón González Calvet

Download or read book Treatise of Plane Geometry Through Geometric Algebra written by Ramón González Calvet and published by Treatise of Plane Geometry. This book was released on 2007 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Statement of the Objectives for Teaching Plane Geometry and Means of Testing for These Objectives

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Publisher :
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis A Statement of the Objectives for Teaching Plane Geometry and Means of Testing for These Objectives by : Florence Grace Oberlin

Download or read book A Statement of the Objectives for Teaching Plane Geometry and Means of Testing for These Objectives written by Florence Grace Oberlin and published by . This book was released on 1944 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary College Geometry

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Publisher :
ISBN 13 : 9780759341906
Total Pages : 369 pages
Book Rating : 4.3/5 (419 download)

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Book Synopsis Elementary College Geometry by : Henry Africk

Download or read book Elementary College Geometry written by Henry Africk and published by . This book was released on 2004 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: