Making Up Numbers
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Making Up Numbers A History Of Invention In Mathematics
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Author : Ekkehard Kopp
language : en
Publisher: Open Book Publishers
Release Date : 2020-10-23
Making Up Numbers A History Of Invention In Mathematics written by Ekkehard Kopp and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Mathematics categories.
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.
Making Numbers Count
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Author : Chip Heath
language : en
Publisher: Random House
Release Date : 2022-01-13
Making Numbers Count written by Chip Heath and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Mathematics categories.
A lively, practical, first-of-its-kind guide to understanding cold, clinical data and harnessing it to tell a persuasive story. __________ How many hours' worth of songs are on your Spotify Wrapped this year? How much is your commute time really worth? How do you work out how likely you are to get Covid based on the official statistics? How do your viewing hours track against the most popular shows on Netflix? Whether you're interested in global problems like climate change, running a business, or just grasping how few people have washed their hands between visiting the bathroom and touching you, this book will help math-lovers and math-haters alike translate the numbers that illuminate our world. 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 become increasingly complex, our brains are stuck in the past. Yet the ability to communicate and understand numbers has never mattered more. How can we more effectively translate numbers and stats - so fundamental to the next big idea - to make data come to life? Drawing on years of research into making ideas stick, Chip Heath and Karla Starr outline six critical principles that will give anyone the tools to communicate numbers with more transparency and meaning. Using concepts such as simplicity, concreteness and familiarity, they show us how to transform hard numbers into their most engaging form, allowing us to bring more data, more naturally, into decisions in our schools, our workplaces and our society.
How To Make The World Add Up
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Author : Tim Harford
language : en
Publisher: Abacus
Release Date : 2021-05-06
How To Make The World Add Up written by Tim Harford and has been published by Abacus this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-06 with Business & Economics categories.
The Sunday Times Bestseller 'Tim Harford is one of my favourite writers in the world. His storytelling is gripping but never overdone, his intellectual honesty is rare and inspiring, and his ability to make complex things simple - but not simplistic - is exceptional. How to Make the World Add Up is another one of his gems. If you're looking for an addictive pageturner that will make you smarter, this is your book' Rutger Bregman, author of Humankind 'Tim Harford could well be Britain's Malcolm Gladwell' Alex Bellos, author of Alex's Adventures in Numberland 'If you aren't in love with stats before reading this book, you will be by the time you're done. Powerful, persuasive, and in these truth-defying times, indispensable' Caroline Criado Perez, author of Invisible Women In How to Make the World Add Up, Tim Harford draws on his experience as both an economist and presenter of the BBC's radio show 'More or Less' to take us deep into the world of disinformation and obfuscation, bad research and misplaced motivation to find those priceless jewels of data and analysis that make communicating with numbers so rewarding. Through vivid storytelling he reveals how we can evaluate the claims that surround us with confidence, curiosity and a healthy level of scepticism. It is a must-read for anyone who cares about understanding the world around them. 'Tim Harford is our most likeable champion of reason and rigour . . . clear, clever and always highly readable' The Times, Books of the Year 'Fascinating and enjoyable' Bill Bryson 'Now more than ever we need a book like this' Stephen Fry 'Wise, humane and, above all, illuminating. Nobody is better on statistics and numbers - and how to make sense of them' Matthew Syed 'One of the most wonderful collections of stories that I have read in a long time . . . fascinating.' Steven Levitt, co-author of Freakonomics 'Wise and useful . . . such a delight' Financial Times 'What should we do when someone makes a claim that they say is based on data? This wise book, distilled from years of experience, gives us the ten commandments, from first examining our feelings, to finally having the humility to admit we may be wrong. Priceless' Professor Sir David Spiegelhalter Announced as a top ten Sunday Times bestseller in paperback on 16 May 2021
Making Sense Of Numbers
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Author : Jane E. Miller
language : en
Publisher: SAGE Publications
Release Date : 2021-08-30
Making Sense Of Numbers written by Jane E. Miller and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-30 with Social Science categories.
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.
Numbers And The Making Of Us
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Author : Caleb Everett
language : en
Publisher: Harvard University Press
Release Date : 2017-03-13
Numbers And The Making Of Us written by Caleb Everett and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-13 with Language Arts & Disciplines categories.
“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
Making Number Talks Matter
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Author : Cathy Humphreys
language : en
Publisher: Stenhouse Publishers
Release Date : 2015
Making Number Talks Matter written by Cathy Humphreys and has been published by Stenhouse Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Education categories.
Making Number Talks Matter is about the myriad decisions facing teachers as they make this fifteen-minute daily routine a vibrant and vital part of their mathematics instruction. Throughout the book, Cathy Humphreys and Ruth Parker offer practical ideas for using Number Talks to help students learn to reason numerically and build a solid foundation for the study of mathematics. This book will be an invaluable resource whether you are already using Number Talks or not; whether you are an elementary, middle school, high school, or college teacher; or even if you are a parent wanting to support your child with mathematics. Using insight gained from many years of doing Number Talks with students of all ages, Cathy and Ruth address questions to ask during Number Talks, teacher moves that turn the thinking over to students, the mathematics behind the various strategies, and ways to overcome bumps in the road. If you've been looking for ways to transform your mathematics classroom--to bring sense-making and divergent thinking to the foreground, to bring the Standards for Mathematical Practice to life, and to bring joy back into your instruction--this book is for you.
Education By The Numbers And The Making Of Society
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Author : Sverker Lindblad
language : en
Publisher: Routledge
Release Date : 2018-03-19
Education By The Numbers And The Making Of Society written by Sverker Lindblad and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-19 with Education categories.
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.
Treatise On Clock And Watch Making
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Author : Thomas Reid
language : en
Publisher:
Release Date : 1832
Treatise On Clock And Watch Making written by Thomas Reid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1832 with Clock and watch making categories.
Making Things Smart
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Author : Gordon F. Williams
language : en
Publisher: Maker Media, Inc.
Release Date : 2017-07-06
Making Things Smart written by Gordon F. Williams and has been published by Maker Media, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-06 with Computers categories.
Making Things Smart teaches the fundamentals of the powerful ARM microcontroller by walking beginners and experienced users alike through easily assembled projects comprised of inexpensive, hardware-store parts. Current ARM programming books take a bland, textbook approach focused on complex, beginner-unfriendly languages like C or ARM Assembler. Making Things Smart uses Espruino (JavaScript for Hardware), flattening the learning curve.
The Psychology Of Number And Its Applications To Methods Of Teaching Arithmetic
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Author : James Alexander McLellan
language : en
Publisher:
Release Date : 1895
The Psychology Of Number And Its Applications To Methods Of Teaching Arithmetic written by James Alexander McLellan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Arithmetic categories.