Makin Numbers

Author : Chip Heath
Publisher : Simon and Schuster
ISBN 13 : 1982165456
Total Pages : 208 pages
Book Rating : 4.51/5 ( download)

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Download or read book Making Numbers Count written by Chip Heath and published by Simon and Schuster. This book was released on 2022-01-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : I. Bernard Cohen
Publisher : MIT Press
ISBN 13 : 9780262032636
Total Pages : 346 pages
Book Rating : 4.35/5 ( download)

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Download or read book Makin' Numbers written by I. Bernard Cohen and published by MIT Press. This book was released on 1999 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of technical essays and reminiscences is a companion to I. Bernard Cohen's biography Howard Aiken: Portrait of a Computer Pioneer. After an overview by Cohen, Part I presents the complete publication of Aiken's 1937 proposal for an automatic calculating machine, later realized as the Mark I, as well as recollections by the chief engineer in charge of construction of Mark II, Robert Campbell, and the programmer of Mark I, Richard Bloch. Henry Tropp describes Aiken's hostility to the exclusive use of binary numbers in computational systems and his alternative approach.

Author : Ekkehard Kopp
Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 280 pages
Book Rating : 4.79/5 ( download)

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Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : I. Bernard Cohen
Publisher : MIT Press
ISBN 13 : 9780262531795
Total Pages : 390 pages
Book Rating : 4.98/5 ( download)

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Download or read book Howard Aiken written by I. Bernard Cohen and published by MIT Press. This book was released on 2000 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biography of Howard Aiken, a major figure of the early digital era, by a major historian of science who was also a colleague of Aiken's at Harvard. Howard Hathaway Aiken (1900-1973) was a major figure of the early digital era. He is best known for his first machine, the IBM Automatic Sequence Controlled Calculator or Harvard Mark I, conceived in 1937 and put into operation in 1944. But he also made significant contributions to the development of applications for the new machines and to the creation of a university curriculum for computer science. This biography of Aiken, by a major historian of science who was also a colleague of Aiken's at Harvard, offers a clear and often entertaining introduction to Aiken and his times. Aiken's Mark I was the most intensely used of the early large-scale, general-purpose automatic digital computers, and it had a significant impact on the machines that followed. Aiken also proselytized for the computer among scientists, scholars, and businesspeople and explored novel applications in data processing, automatic billing, and production control. But his most lasting contribution may have been the students who received degrees under him and then took prominent positions in academia and industry. I. Bernard Cohen argues convincingly for Aiken's significance as a shaper of the computer world in which we now live.

Author : Isabel Thomas
Publisher : Raintree
ISBN 13 : 1406282316
Total Pages : 24 pages
Book Rating : 4.13/5 ( download)

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Download or read book Number Fun written by Isabel Thomas and published by Raintree. This book was released on 2014-07-03 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Rose Griffiths
Publisher :
ISBN 13 : 9780198375616
Total Pages : 112 pages
Book Rating : 4.11/5 ( download)

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Download or read book Making Numbers written by Rose Griffiths and published by . This book was released on 2016-09-29 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Cathy Humphreys
Publisher :
ISBN 13 : 9781760016524
Total Pages : 196 pages
Book Rating : 4.27/5 ( download)

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Download or read book Making Number Talks Matter written by Cathy Humphreys and published by . This book was released on 2015 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ron Ritchhart
Publisher : Addison-Wesley Longman
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.08/5 ( download)

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Download or read book Making Numbers Make Sense written by Ron Ritchhart and published by Addison-Wesley Longman. This book was released on 1993 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Richard Evan Schwartz
Publisher : American Mathematical Soc.
ISBN 13 : 1470414252
Total Pages : 194 pages
Book Rating : 4.52/5 ( download)

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Download or read book Really Big Numbers written by Richard Evan Schwartz and published by American Mathematical Soc.. This book was released on 2014-06-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jessica Shumway
Publisher : Taylor & Francis
ISBN 13 : 1003839789
Total Pages : 193 pages
Book Rating : 4.81/5 ( download)

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Download or read book Number Sense Routines written by Jessica Shumway and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking and highly practical book,Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, author Jessica Shumway proposes that all children have innate number sense which can be developed through daily exercise. Shumway createda series of math routines designed to help young students strengthen and build their facility with numbers. These quick 5, 10, or 15 minute exercises are easy to implement as an add-on to any elementary math curriculum. Understanding Number Sense: Students with strong number sense understand numbers, how to subitize, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies, and use visual models to solve problems. Number Sense Routines supports the early learner by instilling the importance of daily warm-ups and explains how they benefit developing math minds for long-term learning. Real Classroom Examples: Shumway compiled her classroom observations from around the country. She includes conversations among students who practice number sense routines to illustrate them in action, how children's number sense develops with daily use, and math strategies students learn as they develop their numerical literacy through self-paced practice. Assessment Strategies: Number Sense Routines demonstrates the importance of listening to your students and knowing what to look for. Teachers will gain a deeper understanding of the underlying math skills and strategies students learn as they develop numerical literacy. Shumway writes, As you read, you will step into various classrooms and listen in on students' conversations, which I hope will give you insight into the power of number sense routines and the impact they have on students' number sense development. My hope is that going into the classroom, into students' conversations, and into their thought processes, you will come away with new ideas and tools to use in your own classroom.