Constructing Number

Constructing Number
Author: Anderson Norton
Publisher: Springer
Total Pages: 377
Release: 2018-12-17
Genre: Education
ISBN: 3030004910

The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

Young Mathematicians at Work

Young Mathematicians at Work
Author: Catherine Twomey Fosnot
Publisher: Heinemann Educational Books
Total Pages: 196
Release: 2001
Genre: Education
ISBN:

Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.

Number Fun

Number Fun
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.

Making Sense of Number

Making Sense of Number
Author: Annette Hilton
Publisher: Cambridge University Press
Total Pages: 215
Release: 2021-09-15
Genre: Education
ISBN: 1009009923

A concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent.

Where Did You Get This Number?

Where Did You Get This Number?
Author: Anthony Salvanto
Publisher: Simon & Schuster
Total Pages: 272
Release: 2019-08-27
Genre: Social Science
ISBN: 1501174851

CBS News’ Elections and Surveys Director Anthony Salvanto takes you behind the scenes of polling to show you how to think about who we are and where we’re headed as a nation. As Elections and Surveys Director for CBS News, it’s Anthony Salvanto’s job to understand you—what you think and how you vote. He’s the person behind so many of the poll numbers you see today, making the winner calls on election nights and surveying thousands of Americans. In Where Did You Get This Number? A Pollster’s Guide to Making Sense of the World, Salvanto takes readers on a fast-paced, eye-opening tour through the world of polling and elections and what they really show about America today, beyond the who's-up-who’s-down headlines and horse races. Salvanto is just the person to bring much-needed clarity in a time when divisions seem to run so deep. The language of polling may be numbers, but the stories it tells are about people. In this engaging insider’s account, Salvanto demystifies jargon with plain language and answers readers’ biggest questions about polling and pollsters. How can they talk to 1,000 people and know the country? How do they know the winner so fast? How do they decide what questions to ask? Why didn't they call you? Salvanto offers data-driven perspective on how Americans see the biggest issues of our time, from the surprising 2016 election, to the shocks of the financial crisis, the response to terrorism and the backlash against big money. He doesn’t shy away from pointing out what’s worked and what hasn’t. Salvanto takes readers inside the CBS newsroom on Election Night 2016 and makes readers rethink conventional wisdom and punditry just in time for the 2018 midterms. He shows who really decides elections and why you should think about a poll differently from the forecasts popularized by Nate Silver and others. Where Did You Get This Number? is an essential resource for anyone interested in politics—and how to better measure and understand patterns of human behavior. For any American who wants to get a better read on what America is thinking, this book shows you how to make sense of it all.

Making Number Talks Matter

Making Number Talks Matter
Author: Cathy Humphreys
Publisher: Taylor & Francis
Total Pages: 213
Release: 2023-10-10
Genre: Education
ISBN: 1003839053

Making the transition to student-centered learning begins with finding ways to get students to share their thinking, something that can be particularly challenging for math class. Authors Ruth Parker and Cathy Humphreys introduce. Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 3-10, taking the readers into classrooms where their Number Talks routines are taught. Parker and Humphreys apply their 15 minute lessons to inspire and initiate math talks. Through vignettes in the book, you'll meet other teachers learning how to listen closely to students and how to prompt them into figuring out solutions to problems. You will learn how to make on-the-spot decisions, continually advancing and deepening the conversation. Making Number Talks Matter includes: Sample Problems: Filled with a range of Number Talks problems, 10-15 minute warm-up routines that lend themselves to mental math and comparison of strategies Navigating Rough Spots: Learn how to create a safe environment fortrickyor challenging student discussions that can arise when talking through problems and sharing ideas Responding to Mistakes: Ways to handle misconceptions and mathematical errors that come up during the course of Number Talk conversations Making Number Talks Matter is filled with teaching tips for honoring student contributions while still correcting errors, and teaching concepts while nudging independent thinking. Whether you are an elementary, middle school, or high school teacher, through daily practice and open conversation, you can build a solid foundation for the study of mathematics and Make Number Talks Matter.

Young Mathematicians at Work

Young Mathematicians at Work
Author: Catherine Twomey Fosnot
Publisher: Heinemann Educational Books
Total Pages: 0
Release: 2002
Genre: Education
ISBN: 9780325003559

Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.

Radical Uncertainty: Decision-Making Beyond the Numbers

Radical Uncertainty: Decision-Making Beyond the Numbers
Author: John Kay
Publisher: W. W. Norton & Company
Total Pages: 407
Release: 2020-03-17
Genre: Business & Economics
ISBN: 1324004789

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.