Measurement

Measurement

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  • Author: Paul Lockhart
  • Publisher: Harvard University Press
  • ISBN: 0674071174
  • Category : Mathematics
  • Languages : en
  • Pages : 264

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.


The Geometry of Multivariate Statistics

The Geometry of Multivariate Statistics

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  • Author: Thomas D. Wickens
  • Publisher: Psychology Press
  • ISBN: 1317780221
  • Category : Psychology
  • Languages : en
  • Pages : 216

A traditional approach to developing multivariate statistical theory is algebraic. Sets of observations are represented by matrices, linear combinations are formed from these matrices by multiplying them by coefficient matrices, and useful statistics are found by imposing various criteria of optimization on these combinations. Matrix algebra is the vehicle for these calculations. A second approach is computational. Since many users find that they do not need to know the mathematical basis of the techniques as long as they have a way to transform data into results, the computation can be done by a package of computer programs that somebody else has written. An approach from this perspective emphasizes how the computer packages are used, and is usually coupled with rules that allow one to extract the most important numbers from the output and interpret them. Useful as both approaches are--particularly when combined--they can overlook an important aspect of multivariate analysis. To apply it correctly, one needs a way to conceptualize the multivariate relationships that exist among variables. This book is designed to help the reader develop a way of thinking about multivariate statistics, as well as to understand in a broader and more intuitive sense what the procedures do and how their results are interpreted. Presenting important procedures of multivariate statistical theory geometrically, the author hopes that this emphasis on the geometry will give the reader a coherent picture into which all the multivariate techniques fit.


Grade 4 Geometry & Measurement

Grade 4 Geometry & Measurement

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  • Author: Kumon Publishing
  • Publisher: Kumon Math Workbooks
  • ISBN: 9781934968673
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 0

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.


Moving with Math by Topic IM3

Moving with Math by Topic IM3

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  • Author: Caryl Kelly Pierson
  • Publisher:
  • ISBN: 9781591672111
  • Category : Mathematics
  • Languages : en
  • Pages :

Student Activity Book


California Common Core State Standards

California Common Core State Standards

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  • Author: California. Department of Education
  • Publisher:
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 168


Geometry, Measurement and Statistics 2

Geometry, Measurement and Statistics 2

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  • Author: Simon D'Angelo
  • Publisher:
  • ISBN: 9780198389576
  • Category : Geometry
  • Languages : en
  • Pages : 71

Numicon is a distinctive multi-sensory approach to children's mathematical learning that emphasizes three key aspects of doing mathematics: communicating mathematically, exploring relationships, and generalizing.


Bringing the Common Core Math Standards to Life

Bringing the Common Core Math Standards to Life

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  • Author: Yvelyne Germain-McCarthy
  • Publisher: Routledge
  • ISBN: 1317820886
  • Category : Education
  • Languages : en
  • Pages : 247

As middle school math teachers shift to the Common Core State Standards, the question remains: What do the standards actually look like in the classroom? This book answers that question by taking you inside of real, Common Core classrooms across the country. You’ll see how exemplary teachers are meeting the new requirements and engaging students in math. Through these detailed examples of effective instruction, you will uncover how to bring the standards to life in your own classroom! Special Features: • A clear explanation of the big shifts happening in the classroom as a result of the Common Core State Standards • Real examples of how exemplary teachers are meeting the CCSS by teaching problem solving for different learning styles, proportional reasoning, the Pythagorean theorem, measurements, and more • A detailed analysis of each example to help you understand why it is effective and how you can try it with your own students • Practical, ready-to-use tools you can take back to your classroom, including unit plans and classroom handouts


Geometry and Statistics

Geometry and Statistics

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  • Author:
  • Publisher: Academic Press
  • ISBN: 0323913466
  • Category : Mathematics
  • Languages : en
  • Pages : 490

Geometry and Statistics, Volume 46 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Handbook of Statistics series - Updated release includes the latest information on Geometry and Statistics


Geometric Data Analysis

Geometric Data Analysis

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  • Author: Brigitte Le Roux
  • Publisher: Springer Science & Business Media
  • ISBN: 9781402022357
  • Category : Mathematics
  • Languages : en
  • Pages : 496

Geometric Data Analysis (GDA) is the name suggested by P. Suppes (Stanford University) to designate the approach to Multivariate Statistics initiated by Benzécri as Correspondence Analysis, an approach that has become more and more used and appreciated over the years. This book presents the full formalization of GDA in terms of linear algebra - the most original and far-reaching consequential feature of the approach - and shows also how to integrate the standard statistical tools such as Analysis of Variance, including Bayesian methods. Chapter 9, Research Case Studies, is nearly a book in itself; it presents the methodology in action on three extensive applications, one for medicine, one from political science, and one from education (data borrowed from the Stanford computer-based Educational Program for Gifted Youth ). Thus the readership of the book concerns both mathematicians interested in the applications of mathematics, and researchers willing to master an exceptionally powerful approach of statistical data analysis.


Measure, Topology, and Fractal Geometry

Measure, Topology, and Fractal Geometry

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  • Author: Gerald A. Edgar
  • Publisher: Springer Science & Business Media
  • ISBN: 1475741340
  • Category : Mathematics
  • Languages : en
  • Pages : 252

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