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“Inspiring and informative…deserves to be widely read.” ― Wall Street Journal “This fun book offers a philosophical take on number systems and revels in the beauty of math.” ― Science News Because we have ten fingers, grouping by ten seems natural, but twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages. Paul Lockhart presents arithmetic not as rote manipulation of numbers―a practical if mundane branch of knowledge best suited for filling out tax forms―but as a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divide, and multiply important things. Passionate and entertaining, Arithmetic invites us to experience the beauty of mathematics through the eyes of a beguiling teacher. “A nuanced understanding of working with numbers, gently connecting procedures that we once learned by rote with intuitions long since muddled by education…Lockhart presents arithmetic as a pleasurable pastime, and describes it as a craft like knitting.” ―Jonathon Keats, New Scientist “What are numbers, how did they arise, why did our ancestors invent them, and how did they represent them? They are, after all, one of humankind’s most brilliant inventions, arguably having greater impact on our lives than the wheel. Lockhart recounts their fascinating story…A wonderful book.” ―Keith Devlin, author of Finding Fibonacci Review: Must read - LOVE this book. Believe me, if you think you hate math or its too hard, you will calm down and "get it". And if you still dont like numbers you won't feel bad about it ! The author feels like a a regular pal. Review: A book all Elementary Education Majors (and teachers) should read. - I wish I could afford to buy this book for every college student working on an elementary degree. I've read Paul Lockhart's earlier book. And I have his book, Measurement, on my to-do list. First, a reply to some who found it too simple. Yes, this is elementary. Maybe you did learn this when you were in school. But I am a product of the local public school and a teacher of 10 years, some of those years in a top 3 ranked school in South Carolina (which was a private school. And in South Carolina, none-the-less. But our SAT/ACT and AP Scores were ranked alongside the public schools as well). I think I have some room to say that most if not all students are NOT taught or reinforced with this understanding and relationship with the subject. I taught as a Learning Specialist. That is, I helped students who wanted it to become better students at learning. I helped students at whatever subject troubled them. Algebra and Geometry were regulars for me all the years. And from my experience with them, what Paul Lockhart explains here was not in their books nor reinforced in the classroom. I did my best to bring it to them. If you have read his earlier book, then you are familiar with his style of writing, which I enjoyed. Other than that, Paul Lockhart has the understand and experience to help the reader gain a personal understand of Arithmetic that isn't confined to the Industrial Age manipulation we live with today. This includes the understanding that this is not confined to some utilitarian value. HERE IS THE BIG DIFFERENCE I see between Utilitarian Public School and Lockhart's understanding of Arithmetic: Public Schools help students understand and known and the already discovered process for getting to the already known answer in terms of systems and rules. Lockhart sees it in terms of options and tools discovered and created on the way to understanding the character of entities and ways to arrange it 'for ease of communication and comparison'.
| Best Sellers Rank | #290,412 in Books ( See Top 100 in Books ) #50 in Counting & Numeration #97 in Mathematics History #111 in Popular & Elementary Arithmetic (Books) |
| Customer Reviews | 4.6 out of 5 stars 135 Reviews |
G**1
Must read
LOVE this book. Believe me, if you think you hate math or its too hard, you will calm down and "get it". And if you still dont like numbers you won't feel bad about it ! The author feels like a a regular pal.
J**N
A book all Elementary Education Majors (and teachers) should read.
I wish I could afford to buy this book for every college student working on an elementary degree. I've read Paul Lockhart's earlier book. And I have his book, Measurement, on my to-do list. First, a reply to some who found it too simple. Yes, this is elementary. Maybe you did learn this when you were in school. But I am a product of the local public school and a teacher of 10 years, some of those years in a top 3 ranked school in South Carolina (which was a private school. And in South Carolina, none-the-less. But our SAT/ACT and AP Scores were ranked alongside the public schools as well). I think I have some room to say that most if not all students are NOT taught or reinforced with this understanding and relationship with the subject. I taught as a Learning Specialist. That is, I helped students who wanted it to become better students at learning. I helped students at whatever subject troubled them. Algebra and Geometry were regulars for me all the years. And from my experience with them, what Paul Lockhart explains here was not in their books nor reinforced in the classroom. I did my best to bring it to them. If you have read his earlier book, then you are familiar with his style of writing, which I enjoyed. Other than that, Paul Lockhart has the understand and experience to help the reader gain a personal understand of Arithmetic that isn't confined to the Industrial Age manipulation we live with today. This includes the understanding that this is not confined to some utilitarian value. HERE IS THE BIG DIFFERENCE I see between Utilitarian Public School and Lockhart's understanding of Arithmetic: Public Schools help students understand and known and the already discovered process for getting to the already known answer in terms of systems and rules. Lockhart sees it in terms of options and tools discovered and created on the way to understanding the character of entities and ways to arrange it 'for ease of communication and comparison'.
M**4
Another winner from one of the greatest Authors on Mathematics !
Let me first say that Paul Lockhart's previous two books have easily made my top 5 list of most powerful Mathematics books. This one makes the cut as well, and has exceeded my expectations once again. His writing is profound and entertaining, and quite literally improves my life as a teacher, as well as a human being fascinated by the art of learning an discovery. This volume in particular expands his previous discussions on number and its connection to Algebra, Geometry and Calculus (topics from his previous books). I state these different math categories as if there are borders, although ironically, Paul shows in beautiful simplicity how all these math fields fit together under the art of explanation of patterns. I clearly recommend this book, as well as his previous two books. "Measurement" and " A Mathematician's Lament ". Mathematician's Lament was a life changing experience and deeply humorous as well.
W**M
This book is not for everyone!
This book is not for everyone! If you enjoy numbers, the way they "feel" and the patterns that they make, then this book may be for you. In this book the author takes the reader on a journey through the history of numbers as well as showing the "properties" of those numbers. We look at the numbers themselves and the way they have been represented through time - after all a "3" is just the current way in the Hindu-Arabic numbering system that we represent "threeness" - and could just as easily have some other notation which, in a different society, would represent the same "threeness". We are taken through the Roman numerals, and their counting Tabula, as well as the Japanese Soroban (a type of abacus), and are exposed to the way the ancient Egyptians wrote their numbers (as well as the fairly cool (my description) of the way they notated fractions). Through all of this we start to see the numbers as entities in their own right, and not as the particular symbol we assign to them in our Hindu-Arabic numbering system. The author starts us off slowly with addition, then moves into subtraction, then multiplication, then division, and eventually into such "odd ball" concepts as negative numbers. He almost makes it into "set theory", but stops just short. The author also imparts a bit of advice along the way, for example on page 134 he notes "don't bother being more accurate than your data." Something one has to remember when doing calculations based on real world observations. To understand where the author is "coming from" take note of what he says on page 98 "That's kind of the whole math thing: working hard to find ways to get out of working hard." So, if you enjoy numbers and their patterns, then you will probably find this book enjoyable - but, if when someone mentions math you are the first to run screaming from the room --- then not so much.
J**Y
A refreshing look at an old subject
Paul Lockhart is a great writer and he loves mathematics. This combination means that his mathematical writing is infectious. The reader cannot help but get a buzz when they read one of Paul's books. With his latest one, Arithmetic, Paul takes the reader on a small adventure to learn how ancient counting systems worked. From there, he moves on to operations like multiplication and division, and then to fractions, negative numbers, and then probabilities. I like how he provides clear examples, and also how he injects a small amount of humor into his writing. There is no reason at all that a book about mathematics should be boring, should it? I would recommend Paul's book to anyone who wants to know about counting systems and/or mathematical operations.
A**E
Excellent real-world introduction to arithmetic for all ages. Math can and should be beautiful.
If you have a young child in your family who is struggling with the tedious and nonsensical math curriculum that is the "common core", you may find that reading this together at bedtime is helpful to grasp some basic ideas behind counting and comparing numbers. Myself and the little one I've read this with have truly benefited from the authors calm and basic way of explaining the world of arithmetic and gained a few tools to shrug off some of the white noise that is offered in the local school system. Have you ever wondered why your kitchen counter is called a "counter"?
T**N
Have pencil and paper on hand.
This is one very fascinating, eye opening work. It will have you looking at numbers in a different way. I wish math class would have been like this but maintaining order comes first. Be sure to have pencil and paper on hand to work through the sample exercises throughout the book.
A**L
Inspiring; for 11+
This is exactly the math book I was looking for for my organic-style, holistic, child-inspired homeschool. Lockhart tells “the story of arithmetic” as he puts it—the history of counting and number systems, and includes questions and activities for exploring ideas about numbers and quantity. He inspires you to fall in love with math. We love his book Measurement and A Mathematician’s Lament, too (a must-read before using this book). Some things in this book were too abstract/higher-level thinking skills for my 11-year-old, but we will revisit these questions and ideas when he’s a little older.
F**N
Friendship with Arithmetic
I really enjoy the story of Arithmetic as told by the author. And I now feel I closer to numbers than I'd have ever felt. This masterpiece forges a good relationship - nay friendship - between Arithmetic and the reader!
I**M
Fundamental
Este libro debería de ser recomendado como un fundamento. Al ser escrito en inglés nuestros niños puede que no lo alcancen, sin embargo, alguien mayor puede compartir con ellos estos puntos de vista
K**M
Understanding Math
Great Book!
D**U
Build a great foundation, but don’t count on your fingers!
The book serves as a great introduction to mathematics, don’t expect something as difficult as a textbook on the topic. It serves as a great bridge towards more serious works. It is a great complement to measurement wrote by the same author. Used in combination, they give the foundation necessary to do great mathematics in the area you like.
S**S
Beautiful
Amazing read about what and why of numbers.
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