Exploring Geometry

Exploring Geometry PDF

Author: Michael Hvidsten

Publisher: CRC Press

Published: 2016-12-08

Total Pages: 439

ISBN-13: 1498760988

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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

Exploring Measurements and Geometry

Exploring Measurements and Geometry PDF

Author: Joanne Coughlin

Publisher: Teaching and Learning Company

Published: 2010-09-01

Total Pages: 6

ISBN-13: 0787743380

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This resource contains well-developed lessons that will introduce measurements and basic geometry concepts. Each detailed lesson provides step-by-step, easy-to-follow instructions perfect for any teacher or parent. Creative games and activities reinforce math concepts in fun and challenging ways sure to get students excited about math!

Making Geometry

Making Geometry PDF

Author: Jon Allen

Publisher:

Published: 2012

Total Pages: 136

ISBN-13: 9780863159145

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Professional guide to making three-dimensional models of all the Platonic and Archimedian solids in step-by-step instructions.

Measurement

Measurement PDF

Author: Paul Lockhart

Publisher: Harvard University Press

Published: 2012-09-25

Total Pages: 264

ISBN-13: 0674071174

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For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

Exploring Advanced Euclidean Geometry with GeoGebra

Exploring Advanced Euclidean Geometry with GeoGebra PDF

Author: Gerard A. Venema

Publisher: American Mathematical Soc.

Published: 2013-12-31

Total Pages: 147

ISBN-13: 0883857847

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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 Plane Figures

Exploring Plane Figures PDF

Author: Cassie Unswood

Publisher: The Rosen Publishing Group, Inc

Published: 2014-12-15

Total Pages: 24

ISBN-13: 1477745955

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Working with data is a foundational concept not only for mathematics, but also for understanding the world around us. Readers will gain exposure to principles of measurement, such as perimeter and area, and will also learn how to apply them to math operations. Engaging visuals help make math not only concrete, but also fun. In this book, readers will recognize plane figures in a school setting and learn how to find their area. This volume meets CCSS Math Standard 3.MD.C.5a&b.

Improving Instruction in Geometry and Measurement

Improving Instruction in Geometry and Measurement PDF

Author: Margaret Schwan Smith

Publisher: Teachers College Press

Published: 2005-01-01

Total Pages: 166

ISBN-13: 9780807745311

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Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.

Exploring Measurement, Grades 2-3

Exploring Measurement, Grades 2-3 PDF

Author: Rik Carter

Publisher:

Published: 1996-04-01

Total Pages: 55

ISBN-13: 9781885111197

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Your students will really dig into these practical explorations into measurement. Featuring the use of arbitrary units like hand spans, desk widths, rice, and water, each of the fifty activities per level provides the opportunity for students to relate math to their surroundings. Exploring measurement provides a developmental approach to understanding the concept of length, area, volume, mass and time. Using spatial awareness as a springboard, this series includes fascinating activities integrating basic math operations, estimating and observing into a balanced presentation of all five concepts. From measuring with fingers to tessellating with colors to estimating the time to write fifteen "ai" words, Exploring Measurement is full of fresh, meaningful activities.

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