Measurement

Measurement

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.


A Mathematician's Lament

A Mathematician's Lament

Author: Paul Lockhart

Publisher: Bellevue Literary Press

Published: 2009-04-01

Total Pages: 144

ISBN-13: 1934137332

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“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever. Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.


An Introduction to Measure Theory

An Introduction to Measure Theory

Author: Terence Tao

Publisher: American Mathematical Soc.

Published: 2021-09-03

Total Pages: 206

ISBN-13: 1470466406

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This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.


Abstract Measurement Theory

Abstract Measurement Theory

Author: Louis Narens

Publisher: MIT Press (MA)

Published: 1985

Total Pages: 368

ISBN-13:

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This book presents a theory of measurement, one that is "abstract" in that it is concerned with highly general axiomatizations of empirical and qualitative settings and how these can be represented quantitatively.


Measurement Uncertainty

Measurement Uncertainty

Author: Simona Salicone

Publisher: Springer Science & Business Media

Published: 2007-06-04

Total Pages: 235

ISBN-13: 0387463283

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The expression of uncertainty in measurement poses a challenge since it involves physical, mathematical, and philosophical issues. This problem is intensified by the limitations of the probabilistic approach used by the current standard (the GUM Instrumentation Standard). This text presents an alternative approach. It makes full use of the mathematical theory of evidence to express the uncertainty in measurements. Coverage provides an overview of the current standard, then pinpoints and constructively resolves its limitations. Numerous examples throughout help explain the book’s unique approach.


Measuring Penny

Measuring Penny

Author:

Publisher: Macmillan

Published: 2000-09

Total Pages: 36

ISBN-13: 0805065725

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Lisa's homework assignment is to measure something. The fun begins when she decides to measure her dog, Penny.


The Britannica Guide to Numbers and Measurement

The Britannica Guide to Numbers and Measurement

Author: William L. Hosch Associate Editor, Science and Technology

Publisher: The Rosen Publishing Group, Inc

Published: 2010-08-15

Total Pages: 288

ISBN-13: 1615301089

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Offers an overview of the development of numbers, their expression in mathematics and measurement, and profiles of the visionaries who saw order amidst the numbers.


First Steps in Mathematics

First Steps in Mathematics

Author: Sue Willis

Publisher: First Steps

Published: 2005-01-01

Total Pages:

ISBN-13: 9780975998687

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Provides teachers with a range of practical tools to improve the mathematical learning for all students


Just a Little Bit

Just a Little Bit

Author: Ann Tompert

Publisher: Houghton Mifflin Harcourt

Published: 1996-03

Total Pages: 38

ISBN-13: 9780395778760

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For use in schools and libraries only. When Mouse and Elephant decide to go on the seesaw, Mouse needs a lot of help from other animals before they can go up and down.