Making Numbers

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Making Numbers Count

Chip Heath,Karla Starr
Making Numbers Count Book PDF

Author : Chip Heath,Karla Starr
Publisher : Simon and Schuster
Page : 208 pages
File Size : 44,6 Mb
Release : 2022-01-11
Category : Business & Economics
ISBN : 9781982165451

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Making Numbers Count by Chip Heath,Karla Starr Pdf

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.

Making Numbers

Rose Griffiths,Sue Gifford,Jenni Back,Susan Gifford
Making Numbers Book PDF

Author : Rose Griffiths,Sue Gifford,Jenni Back,Susan Gifford
Publisher : Unknown
Page : 112 pages
File Size : 43,8 Mb
Release : 2016-09-29
Category : Electronic
ISBN : 0198375611

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Making Numbers by Rose Griffiths,Sue Gifford,Jenni Back,Susan Gifford Pdf

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.

Making up Numbers: A History of Invention in Mathematics

Ekkehard Kopp
Making up Numbers A History of Invention in Mathematics Book PDF

Author : Ekkehard Kopp
Publisher : Open Book Publishers
Page : 280 pages
File Size : 54,5 Mb
Release : 2020-10-23
Category : Mathematics
ISBN : 9781800640979

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Making up Numbers: A History of Invention in Mathematics by Ekkehard Kopp Pdf

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.

Numbers and the Making of Us

Caleb Everett
Numbers and the Making of Us Book PDF

Author : Caleb Everett
Publisher : Harvard University Press
Page : 308 pages
File Size : 41,6 Mb
Release : 2017-03-13
Category : Language Arts & Disciplines
ISBN : 9780674504431

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Numbers and the Making of Us by Caleb Everett Pdf

“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

Number Fun

Isabel Thomas
Number Fun Book PDF

Author : Isabel Thomas
Publisher : Raintree
Page : 24 pages
File Size : 55,5 Mb
Release : 2014-07-03
Category : Juvenile Nonfiction
ISBN : 9781406282313

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Number Fun by Isabel Thomas Pdf

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.

Making Sense of Numbers

Jane E. Miller
Making Sense of Numbers Book PDF

Author : Jane E. Miller
Publisher : SAGE Publications
Page : 509 pages
File Size : 55,9 Mb
Release : 2021-08-30
Category : Social Science
ISBN : 9781544355603

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Making Sense of Numbers by Jane E. Miller Pdf

Making Sense of Numbers teaches students the skills they need to be both consumers and producers of quantitative research: able to read about, collect, calculate, and communicate numeric information for both everyday tasks and school or work assignments. The text teaches how to avoid making common errors of reasoning, calculation, or interpretation by introducing a systematic approach to working with numbers, showing students how to figure out what a particular number means. The text also demonstrates why it is important to apply a healthy dose of skepticism to the numbers we all encounter, so that we can understand how those numbers can (and cannot) be interpreted in their real-world context. Jane E. Miller uses annotated examples on a wide variety of topics to illustrate how to use new terms, concepts, and approaches to working with numbers. End-of-chapter engagement activities designed based on Miller’s three decades of teaching experience can be used in class or as homework assignments, with some for students to do individually and others intended for group discussion. The book is ideally suited for a range of courses, including quantitative reasoning, research methods, basic statistics, data analysis, and communicating quantitative information. An instructor website for the book includes a test bank, editable PowerPoint slides, and tables and figures from the book.

Radical Uncertainty: Decision-Making Beyond the Numbers

John Kay,Mervyn King
Radical Uncertainty Decision Making Beyond the Numbers Book PDF

Author : John Kay,Mervyn King
Publisher : W. W. Norton & Company
Page : 407 pages
File Size : 46,5 Mb
Release : 2020-03-17
Category : Business & Economics
ISBN : 9781324004783

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Radical Uncertainty: Decision-Making Beyond the Numbers by John Kay,Mervyn King Pdf

Much economic advice is bogus quantification, warn two leading experts in this essential book, now with a preface on COVID-19. Invented numbers offer a false sense of security; we need instead robust narratives that give us the confidence to manage uncertainty. “An elegant and careful guide to thinking about personal and social economics, especially in a time of uncertainty. The timing is impeccable." — Christine Kenneally, New York Times Book Review Some uncertainties are resolvable. The insurance industry’s actuarial tables and the gambler’s roulette wheel both yield to the tools of probability theory. Most situations in life, however, involve a deeper kind of uncertainty, a radical uncertainty for which historical data provide no useful guidance to future outcomes. Radical uncertainty concerns events whose determinants are insufficiently understood for probabilities to be known or forecasting possible. Before President Barack Obama made the fateful decision to send in the Navy Seals, his advisers offered him wildly divergent estimates of the odds that Osama bin Laden would be in the Abbottabad compound. In 2000, no one—not least Steve Jobs—knew what a smartphone was; how could anyone have predicted how many would be sold in 2020? And financial advisers who confidently provide the information required in the standard retirement planning package—what will interest rates, the cost of living, and your state of health be in 2050?—demonstrate only that their advice is worthless. The limits of certainty demonstrate the power of human judgment over artificial intelligence. In most critical decisions there can be no forecasts or probability distributions on which we might sensibly rely. Instead of inventing numbers to fill the gaps in our knowledge, we should adopt business, political, and personal strategies that will be robust to alternative futures and resilient to unpredictable events. Within the security of such a robust and resilient reference narrative, uncertainty can be embraced, because it is the source of creativity, excitement, and profit.

Really Big Numbers

Richard Evan Schwartz
Really Big Numbers Book PDF

Author : Richard Evan Schwartz
Publisher : American Mathematical Soc.
Page : 194 pages
File Size : 51,8 Mb
Release : 2014-06-30
Category : Juvenile Nonfiction
ISBN : 9781470414252

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Really Big Numbers by Richard Evan Schwartz Pdf

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.

Mathsemantics

Edward MacNeal
Mathsemantics Book PDF

Author : Edward MacNeal
Publisher : Penguin
Page : 321 pages
File Size : 48,6 Mb
Release : 1995-03-01
Category : Mathematics
ISBN : 9780140234862

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Mathsemantics by Edward MacNeal Pdf

Here is a whole new way of looking at math that liberates math phobes from their anxiety, enables business people to do their jobs more effectively, challenges and informs math buffs, and provides educators with the tools to teach math easily and effectively. How can it do all that? By reuniting numbers and meaning, two subjects that should never have been separated in the first place. Entertaining, anecdotal, and immensely practical, this extraordinary book offers a revolutionary way of looking at math as a language, something that we've all heard before but which has never made sense until now. Mathsemantics is that rare book that will change the way you look at the world—and provide the most sensible and inspiring answer yet to the problem of American innumeracy. "Eye opening . . . a good antidote to innumeracy."—Library Journal

Education by the Numbers and the Making of Society

Sverker Lindblad,Daniel Pettersson,Thomas S. Popkewitz
Education by the Numbers and the Making of Society Book PDF

Author : Sverker Lindblad,Daniel Pettersson,Thomas S. Popkewitz
Publisher : Routledge
Page : 248 pages
File Size : 51,6 Mb
Release : 2018-03-19
Category : Education
ISBN : 9781351586085

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Education by the Numbers and the Making of Society by Sverker Lindblad,Daniel Pettersson,Thomas S. Popkewitz Pdf

International statistical comparisons of nations have become commonplace in the contemporary landscape of education policy and social science. This book discusses the emergence of these international comparisons as a particular style of reasoning about education, society and science. By examining how international educational assessments have come to dominate much of contemporary policymaking concerning school system performance, the authors provide concrete case studies highlighting the preeminent role of numbers in furthering neoliberal education reform. Demonstrating how numbers serve as ‘rationales’ to shape and fashion social issues, this text opens new avenues for thinking about institutional and epistemological factors that produce and shape educational policy, research and schooling in transnational contexts.

Number Sense Routines

Jessica Shumway
Number Sense Routines Book PDF

Author : Jessica Shumway
Publisher : Taylor & Francis
Page : 193 pages
File Size : 55,7 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839781

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Number Sense Routines by Jessica Shumway Pdf

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.

Making Numbers Make Sense

Ron Ritchhart
Making Numbers Make Sense Book PDF

Author : Ron Ritchhart
Publisher : Addison-Wesley Longman
Page : 178 pages
File Size : 52,9 Mb
Release : 1993
Category : Arithmetic
ISBN : UVA:X002230508

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Making Numbers Make Sense by Ron Ritchhart Pdf

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.

The Power of Moments

Chip Heath,Dan Heath
The Power of Moments Book PDF

Author : Chip Heath,Dan Heath
Publisher : Simon and Schuster
Page : 320 pages
File Size : 50,5 Mb
Release : 2017-10-03
Category : Business & Economics
ISBN : 9781501147760

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The Power of Moments by Chip Heath,Dan Heath Pdf

The New York Times bestselling authors of Switch and Made to Stick explore why certain brief experiences can jolt us and elevate us and change us—and how we can learn to create such extraordinary moments in our life and work. While human lives are endlessly variable, our most memorable positive moments are dominated by four elements: elevation, insight, pride, and connection. If we embrace these elements, we can conjure more moments that matter. What if a teacher could design a lesson that he knew his students would remember twenty years later? What if a manager knew how to create an experience that would delight customers? What if you had a better sense of how to create memories that matter for your children? This book delves into some fascinating mysteries of experience: Why we tend to remember the best or worst moment of an experience, as well as the last moment, and forget the rest. Why “we feel most comfortable when things are certain, but we feel most alive when they’re not.” And why our most cherished memories are clustered into a brief period during our youth. Readers discover how brief experiences can change lives, such as the experiment in which two strangers meet in a room, and forty-five minutes later, they leave as best friends. (What happens in that time?) Or the tale of the world’s youngest female billionaire, who credits her resilience to something her father asked the family at the dinner table. (What was that simple question?) Many of the defining moments in our lives are the result of accident or luck—but why would we leave our most meaningful, memorable moments to chance when we can create them? The Power of Moments shows us how to be the author of richer experiences.

Making Friends with Numbers

Edric Cane
Making Friends with Numbers Book PDF

Author : Edric Cane
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 2020-06
Category : Electronic
ISBN : 0916785246

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Making Friends with Numbers by Edric Cane Pdf

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.

Summary of Chip Heath & Karla Starr's Making Numbers Count

Milkyway Media
Summary of Chip Heath Karla Starr s Making Numbers Count Book PDF

Author : Milkyway Media
Publisher : Milkyway Media
Page : 19 pages
File Size : 47,8 Mb
Release : 2022-03-08
Category : Study Aids
ISBN : 8210379456XXX

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Summary of Chip Heath & Karla Starr's Making Numbers Count by Milkyway Media Pdf

Buy now to get the main key ideas from Chip Heath & Karla Starr's Making Numbers Count Whether you are doing large business transactions or counting apples, numbers are an inescapable part of everyday life. But numbers are not easily digested by the human brain. In Making Numbers Count (2022), Chip Heath and Karla Starr offer helpful tips for translating numbers and making them accessible to everyone. They explore key principles, such as the emotional dimension of numbers, and explain how to make them impactful for any audience. Plenty of practical examples are provided to help readers understand numbers and be able to share their meaning.