Making Numbers
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Author | : Chip Heath |
Publisher | : Simon and Schuster |
Total Pages | : 208 |
Release | : 2022-01-11 |
Genre | : Business & Economics |
ISBN | : 1982165456 |
A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.
Author | : Caleb Everett |
Publisher | : Harvard University Press |
Total Pages | : 308 |
Release | : 2017-03-13 |
Genre | : Language Arts & Disciplines |
ISBN | : 0674504437 |
“A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to grasp quantities precisely, but recent research confirms that they are not innate—and without numbers, we could not fully grasp quantities greater than three. Everett considers the number systems that have developed in different societies as he shares insights from his fascinating work with indigenous Amazonians. “This is bold, heady stuff... The breadth of research Everett covers is impressive, and allows him to develop a narrative that is both global and compelling... Numbers is eye-opening, even eye-popping.” —New Scientist “A powerful and convincing case for Everett’s main thesis: that numbers are neither natural nor innate to humans.” —Wall Street Journal
Author | : Rose Griffiths |
Publisher | : |
Total Pages | : 112 |
Release | : 2016-09-29 |
Genre | : |
ISBN | : 9780198375616 |
Making Numbers shares exemplars of good practice drawing on the latest research on using manipulatives to develop understanding of arithmetic. Focusing initially on the teaching of numbers from 1-12, Making Numbers progresses to 200 and beyond, including ideas for teaching partitioning, arrays, and times tables.
Author | : Ekkehard Kopp |
Publisher | : Open Book Publishers |
Total Pages | : 280 |
Release | : 2020-10-23 |
Genre | : Mathematics |
ISBN | : 1800640978 |
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Author | : Isabel Thomas |
Publisher | : Raintree |
Total Pages | : 24 |
Release | : 2014-07-03 |
Genre | : Juvenile Nonfiction |
ISBN | : 1406282316 |
With this book, children can learn the numbers 1 to 20 while getting "e;in shape"e;! Each page shows children using their bodies to make the shape of numbers, alongside simple printed versions of each number. The book complements the similar Alphabet Fun title.
Author | : Richard Evan Schwartz |
Publisher | : American Mathematical Soc. |
Total Pages | : 194 |
Release | : 2014-06-30 |
Genre | : Juvenile Nonfiction |
ISBN | : 1470414252 |
In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual interested in exploring the vast universe of numbers.
Author | : Drew Daywalt |
Publisher | : Penguin |
Total Pages | : 20 |
Release | : 2016-10-18 |
Genre | : Juvenile Fiction |
ISBN | : 0451534050 |
Counting is as easy as 1... 2... purple?... in this charming book of numbers from the creators of the #1 New York Times Best Sellers, The Day the Crayons Quit and The Day the Crayons Came Home. Poor Duncan can't catch a break! First, his crayons go on strike. Then, they come back home. Now his favorite colors are missing once again! Can you count up all the crayons that are missing from his box? From the creative minds behind the The Day the Crayons Quit and The Day the Crayons Came Home comes a colorful board book introducing young readers to numbers.
Author | : Ron Ritchhart |
Publisher | : Addison-Wesley Longman |
Total Pages | : 178 |
Release | : 1993 |
Genre | : Education |
ISBN | : |
This extensive collection of hands-on activities helps students develop their number sense and basic mathematical comprehension. Lessons in place value, statistics, measurement, and estimation all adhere to the NCTM standards for teaching math.
Author | : Milo Beckman |
Publisher | : Penguin UK |
Total Pages | : 224 |
Release | : 2021-01-07 |
Genre | : Mathematics |
ISBN | : 0241507588 |
'The whizz-kid making maths supercool. . . A brilliant book that takes everything we know (and fear) about maths out of the equation - starting with numbers' The Times 'A cheerful, chatty, and charming trip through the world of mathematics. . . Everyone should read this delightful book' Ian Stewart, author of Do Dice Play God? The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided? A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful.
Author | : Edric Cane |
Publisher | : |
Total Pages | : |
Release | : 2020-06 |
Genre | : |
ISBN | : 9780916785246 |
This workbook for students changes what is often a painful "drill and kill" memorizing process into an opportunity to build a rich network of connections, patterns, thinking strategies and applications. Acquiring a solid knowledge of basic multiplication facts becomes a way to experience math as a thinking activity. In the process, students develop number-sense and discover the rich interaction of factors, prime factors, Greatest Common Factors, Least Common Multiples, preparing them for a smooth transition to fractions and algebra.