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.
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.
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.
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.
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.
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.
Download or read book Narrative and Numbers written by Aswath Damodaran and published by Columbia University Press. This book was released on 2017-01-10 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can a company that has never turned a profit have a multibillion dollar valuation? Why do some start-ups attract large investments while others do not? Aswath Damodaran, finance professor and experienced investor, argues that the power of story drives corporate value, adding substance to numbers and persuading even cautious investors to take risks. In business, there are the storytellers who spin compelling narratives and the number-crunchers who construct meaningful models and accounts. Both are essential to success, but only by combining the two, Damodaran argues, can a business deliver and sustain value. Through a range of case studies, Narrative and Numbers describes how storytellers can better incorporate and narrate numbers and how number-crunchers can calculate more imaginative models that withstand scrutiny. Damodaran considers Uber's debut and how narrative is key to understanding different valuations. He investigates why Twitter and Facebook were valued in the billions of dollars at their public offerings, and why one (Twitter) has stagnated while the other (Facebook) has grown. Damodaran also looks at more established business models such as Apple and Amazon to demonstrate how a company's history can both enrich and constrain its narrative. And through Vale, a global Brazil-based mining company, he shows the influence of external narrative, and how country, commodity, and currency can shape a company's story. Narrative and Numbers reveals the benefits, challenges, and pitfalls of weaving narratives around numbers and how one can best test a story's plausibility.
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.
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.
Download or read book The Crayons Book of Numbers written by Drew Daywalt and published by Penguin. This book was released on 2016-10-18 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Number Sense Routines written by Jessica F. Shumway and published by Stenhouse Publishers. This book was released on 2011 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.
Download or read book Developing Numerical Fluency written by Patsy Kanter and published by Heinemann Educational Books. This book was released on 2018 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a must-read book for any teachers of math." -Jo Boaler, Professor of Mathematics Education at Stanford University and author of Mathematical Mindsets Numerical fluency is about understanding Numerical fluency is about understanding, not memorization. It comes over time as students engage in active thinking and doing, not endless worksheets and timed tests. Classroom instruction and materials, however, often don't feel aligned with these realities. In Developing Numerical Fluency, Patsy Kanter and Steven Leinwand take a fresh look at a commonly-asked question: "How do I teach number facts so my students know them fluently?" They apply their decades of experience teaching mathematics to rethinking effective fluency instruction. Classroom-tested ideas you can use right away Each chapter introduces ideas, techniques, and strategies that contribute to meaningful fluency for all students. You'll find: pivotal understandings that illuminate what contributes to real numerical fluency six instructional processes that support lasting fluency development classroom structures and activities for building fluency in addition, subtraction, multiplication, and division suggestions for creating a school-wide culture of numerical fluency. Patsy and Steve remind us that, "Students do not develop numerical fluency by memorizing and regurgitating rules." But many of us learned mathematics in exactly this way, making shifting our instruction challenging. Developing Numerical Fluency provides just the right support, offering big ideas for rethinking instruction paired with classroom-tested activities you can use right away.
Download or read book Math Fables written by Greg Tang and published by Scholastic Inc.. This book was released on 2016-05-31 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: From 1 to 10, these "lessons that count" are math magic for learning addition and subtraction. Greg Tang has built his career as an author and math missionary on the power of creative problem solving. Now, through winsome "fables" about concepts that are relevant to the very youngest math learners -- sharing, teamwork, etc. -- Greg encourages kids to see the basics of addition and subtraction in entirely new ways. Fresh, fun, and most of all, inspiring, MATH FABLES is perfect for launching young readers on the road to math success!
Download or read book Decisive written by Chip Heath and published by Random House Canada. This book was released on 2013-03-26 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four principles that can help us to overcome our brains' natural biases to make better, more informed decisions--in our lives, careers, families and organizations. In Decisive, Chip Heath and Dan Heath, the bestselling authors of Made to Stick and Switch, tackle the thorny problem of how to overcome our natural biases and irrational thinking to make better decisions, about our work, lives, companies and careers. When it comes to decision making, our brains are flawed instruments. But given that we are biologically hard-wired to act foolishly and behave irrationally at times, how can we do better? A number of recent bestsellers have identified how irrational our decision making can be. But being aware of a bias doesn't correct it, just as knowing that you are nearsighted doesn't help you to see better. In Decisive, the Heath brothers, drawing on extensive studies, stories and research, offer specific, practical tools that can help us to think more clearly about our options, and get out of our heads, to improve our decision making, at work and at home.
Download or read book The Power of Moments written by Chip Heath and published by Simon and Schuster. This book was released on 2017-10-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numbers and the Making of Us written by Caleb Everett and published by Harvard University Press. This book was released on 2017-03-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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
Download or read book Counting Book written by Dave King and published by DK Publishing (Dorling Kindersley). This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Photographs and questions present the numbers from one to one thousand and provide opportunities to find and count objects.
