The Complete Book of Algebra and Geometry

The Complete Book of Algebra and Geometry
Author: American Education Publishing
Publisher: American Education Publishing
Total Pages: 352
Release: 2005-11-15
Genre: Juvenile Nonfiction
ISBN: 9780769643304

The Complete Book of Algebra and Geometry provides 352 pages of fun exercises that teach students in grades 5 and 6 key lessons in higher math concepts, skills, and strategies! Order of operations, variables, expressions, integers, exponents, rays, and angles are just a few of the many skills covered in this comprehensive text. It also includes a complete answer key, user-friendly activities, and easy-to-follow instructions. --Over 4 million in print! Designed by leading experts, books in the Complete Book series help children in grades preschool-6 build a solid foundation in key subject areas for learning success. Complete Books are the most thorough and comprehensive learning guides available, offering high-interest lessons to encourage learning and full-color illustrations to spark interest. Each book also features challenging concepts and activities to motivate independent study, a fun page of stickers, and a complete answer key to measure performance and guide instruction.

Measurement

Measurement
Author: Paul Lockhart
Publisher: Harvard University Press
Total Pages: 264
Release: 2012-09-25
Genre: Mathematics
ISBN: 0674071174

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.

Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5

Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5
Author: Richard Lehrer
Publisher:
Total Pages: 91
Release: 2014-06
Genre: Geometry
ISBN: 9780873536691

How can you introduce terms from geometry and measurement so that your students’ vocabulary will enhance their understanding of concepts and definitions? What can you say to clarify the thinking of a student who claims that perimeter is always an even number? How does knowing what changes or stays the same when shapes are transformed help you support and extend your students’ understanding of shapes and the space that they occupy? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry and measurement requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about geometry and measurement. It is organized around three big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry and measurement, the book will broaden and deepen your understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

Grade 4 Geometry & Measurement

Grade 4 Geometry & Measurement
Author: Kumon Publishing
Publisher: Kumon Math Workbooks
Total Pages: 0
Release: 2009-06
Genre: Juvenile Nonfiction
ISBN: 9781934968673

Geometry & Measurement Workbooks introduce important foundational math concepts gradually, which allows children to feel confident and eager to learn more. Our fun and colorful activities inspire a love of math.

Geometric Measure Theory

Geometric Measure Theory
Author: Frank Morgan
Publisher: Elsevier
Total Pages: 154
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483277801

Geometric Measure Theory: A Beginner's Guide provides information pertinent to the development of geometric measure theory. This book presents a few fundamental arguments and a superficial discussion of the regularity theory. Organized into 12 chapters, this book begins with an overview of the purpose and fundamental concepts of geometric measure theory. This text then provides the measure-theoretic foundation, including the definition of Hausdorff measure and covering theory. Other chapters consider the m-dimensional surfaces of geometric measure theory called rectifiable sets and introduce the two basic tools of the regularity theory of area-minimizing surfaces. This book discusses as well the fundamental theorem of geometric measure theory, which guarantees solutions to a wide class of variational problems in general dimensions. The final chapter deals with the basic methods of geometry and analysis in a generality that embraces manifold applications. This book is a valuable resource for graduate students, mathematicians, and research workers.

Measure, Topology, and Fractal Geometry

Measure, Topology, and Fractal Geometry
Author: Gerald A. Edgar
Publisher: Springer Science & Business Media
Total Pages: 252
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475741340

From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1

Grades 5-6

Grades 5-6
Author: School Zone Publishing
Publisher:
Total Pages: 0
Release: 1996-03
Genre: Education, Elementary
ISBN: 9780887433146

Big Workbooks promote comprehensive learning from preschool through sixth grade. Each workbook includes activities organized by major skill areas. Contents are drawn from the I Know It! and Get Ready! series. 320 Full-Color Pages.

Geometry

Geometry
Author: Richard S. Millman
Publisher: Springer Science & Business Media
Total Pages: 394
Release: 1993-05-07
Genre: Mathematics
ISBN: 9780387974125

Geometry: A Metric Approach with Models, imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly. The second edition has been expanded to include a selection of expository exercises. Additionally, the authors have designed software with computational problems to accompany the text. This software may be obtained from George Parker.

Sets of Finite Perimeter and Geometric Variational Problems

Sets of Finite Perimeter and Geometric Variational Problems
Author: Francesco Maggi
Publisher: Cambridge University Press
Total Pages: 475
Release: 2012-08-09
Genre: Mathematics
ISBN: 1107021030

An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.

Geometric Measure Theory

Geometric Measure Theory
Author: Herbert Federer
Publisher: Springer
Total Pages: 694
Release: 2014-11-25
Genre: Mathematics
ISBN: 3642620108

"This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)