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Measurement
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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.
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Product details
Paperback: 416 pages
Publisher: Belknap Press: An Imprint of Harvard University Press; Reprint edition (May 12, 2014)
Language: English
ISBN-10: 0674284380
ISBN-13: 978-0674284388
Product Dimensions:
5.8 x 1.2 x 8.5 inches
Shipping Weight: 12.8 ounces (View shipping rates and policies)
Average Customer Review:
4.3 out of 5 stars
49 customer reviews
Amazon Best Sellers Rank:
#38,256 in Books (See Top 100 in Books)
This is a great math book even for people who don't think they are good at math. When I watched the video of this guy talking about the subject I thought I would give it a try. The book is great because the author breaks down the subject into simple concepts that even I could understand. So far I have only read the first chapter. The book discusses the deep philosophical thoughts in math, for example what is a proof?. The first chapter discusses geometry. I recommend this book to any one who want to develop an love for the subject.
Mr. Lockhart has previously written (A Mathematician's Lament) about the joyless methods that were used to teach most of us mathematics. Fortunately I was one who found the joy behind both the practical significance of arithmetic (yes the bank needs to know the exact balance of your account even if you don't care to figure it out) and the memorization of tables; now called math facts (yes, even musicians need to practice scales and train their fingers if they wish to make music, not just appreciate it).If you already know how joyful and remarkable mathematics can be, Mr. Lockhart writes in a way that is easy to read and offers many examples of familiar problems and solves them in a way that emphasizes the elegance and beauty of both the problem and its solution.If you wonder WHY some of us KNOW that mathematics is elegant and beautiful and wish to share that joy, give the book a whirl. You don't need to know more about mathematics than basic arithmetic. As long as you know that algebra and geometry exist; expertise is not required, you will do fine. However as easy as it is to read, be warned that sometimes the mathematics and logic will appear so clearly as if by magic and other times your brain will be challenged and you may struggle mentally as mightily as a women struggles physically (and mentally) to give birth. Whether the struggle is worth it is entirely up to you and fortunately for you, unlike the woman who cannot undo her pregnancy if she finds the struggle to give birth too difficult, you can just give up and read on to the next problem and hope it is easier. There are many, many problems to solve in the book.
I only read the first couple chapters. This book is for when you have time/mental space to devote to study, as a student of the subject. You can do it in small amounts, recreationally, but for the average layperson like myself, this book involves intense mathematical reasoning. I mean, it welcomes everyone! With the same elegance, simplicity and conversational writing that we loved in A Mathematician's Lament. From the first page, you are captivated and wanting more. This is a must-buy for the bookshelf, to have on hand when the mood strikes.
There's a map of how the universe works, and mathematics is the engine that scientists have chosen to generate that map. Lockhart never gets too far from that map, though his examples are often abstract in appearance - at first. I'm going to see that my grand-daughters (who are struggling with math and wondering what it will do for them in a Common Core age) will be exposed (by me, naturally...) to Lockhart's way of explaining how mathematicians do their thing - or at least the ones he claims to know.
The art of mathematics is the real subject of this book--and its treasure. Paul Lockhart reveals that with geometric forms and the numerical relationships to be unlocked in them. He caused me to see the beauty and complexity of the mathematic possibilities--and the perplexity and difficulty he delightfully endures discovering methods and formulas to calculate those relationships. The brain wrenching puzzles he delights in solving are the penchant of a mathematician, and far beyond the simple arithmetic I learned as a teen. But reading about his art now gave me a view of mathematics that I needed then, but was hidden to me, when as a teenager I turned away those subjects intimidated. Had I known about the art of it, I might have ventured into Paul's world of numerical wonders.
A wonderful book! It shows clearly the beauty of mathematics at a quite elementary level. The author goes to great lengths to show what is interesting about Mathematics. It is not the complicated formulae, or the algebra, but great, simple, utterly convincing ideas. If the reader is willing to think hard while reading, he/she will be rewarded by many stunning results presented in a completely straightforward manner. The first part, probably the one that best achieves its stated purpose, deals only with geometry. Since the basics objects of geometry (straight lines, circles, angles...) are familiar to anybody, it is really possible to prove beautiful results without using any of the apparatus, such as algebra and calculus, which many people find difficult. The second part is an attempt to introduce algebra and calculus in a very simple and well motivated way. Since I already know the material quite well, I cannot really say whether the attempt actually succeeds, but I certainly found the presentation very striking and quite engrossing.
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