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Constructing Number
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Book Synopsis Constructing Number by : Anderson Norton
Download or read book Constructing Number written by Anderson Norton and published by Springer. This book was released on 2018-12-17 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Making Number Talks Matter by : Cathy Humphreys
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:
Book Synopsis Young Mathematicians at Work by : Catherine Twomey Fosnot
Download or read book Young Mathematicians at Work written by Catherine Twomey Fosnot and published by Heinemann Educational Books. This book was released on 2001 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.
Book Synopsis Making Sense of Number by : Annette Hilton
Download or read book Making Sense of Number written by Annette Hilton and published by Cambridge University Press. This book was released on 2021-09-15 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making Sense of Number is a concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent. It includes relevant content to assist pre-service teachers to improve numeracy for the classroom or to prepare for LANTITE, as well as support for practising teachers to develop their understanding and skills in numeracy. Making Sense of Number focuses on number sense as a conceptual framework for understanding mathematics, covering foundational areas of mathematics that often cause concern such as multiplication, fractions, ratio, rate and scale. The authors use real-world examples to explain mathematical concepts in an accessible and engaging way. Written by authors with over 30 years' experience teaching mathematics at primary, secondary and tertiary levels, Making Sense of Number is an essential guide for both pre-service teachers and those looking to improve their understanding of numeracy.
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 Digging Deeper written by Ruth Parker and published by Taylor & Francis. This book was released on 2023-10-10 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 older learners. Authors Ruth Parker and Cathy Humphreys return with Digging Deeper: Making Number Talks Matter Even More, Grades 3-10, taking the readers into classrooms where their Number Talks routines are taught.In this comprehensive sequel to their best-selling book, Making Number Talks Matter, Parker and Humphreys apply their 15 minute lessons to older grade levels 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. Digging Deeper includes: Sample Problems: Digging Deeper is 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 for tricky, problematic, or 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 Digging Deeper is filled with teaching tips for using wait time between problems more efficiently, honoring student contributions while still correcting errors, and teaching concepts while nudging independent thinking. Through daily practice and open conversation, you can make Number Talks matter more.
Book Synopsis Number Sense Routines by : Jessica Shumway
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.
Book Synopsis Making Meaning for Operations by : Deborah Schifter
Download or read book Making Meaning for Operations written by Deborah Schifter and published by National. This book was released on 2016 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Radical Uncertainty: Decision-Making Beyond the Numbers by : John Kay
Download or read book Radical Uncertainty: Decision-Making Beyond the Numbers written by John Kay and published by W. W. Norton & Company. This book was released on 2020-03-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Constructing Number by : Anderson Norton
Download or read book Constructing Number written by Anderson Norton and published by Springer. This book was released on 2019-01-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Making Number Talks Matter by : Cathy Humphreys
Download or read book Making Number Talks Matter written by Cathy Humphreys and published by Taylor & Francis. This book was released on 2023-10-10 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Where Did You Get This Number? by : Anthony Salvanto
Download or read book Where Did You Get This Number? written by Anthony Salvanto and published by Simon & Schuster. This book was released on 2019-08-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Municipal Journal written by and published by . This book was released on 1915 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Making Transcendence Transparent by : Edward B. Burger
Download or read book Making Transcendence Transparent written by Edward B. Burger and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.
Book Synopsis Young Mathematicians at Work by : Catherine Twomey Fosnot
Download or read book Young Mathematicians at Work written by Catherine Twomey Fosnot and published by Heinemann Educational Books. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.
Download or read book Construction Reports written by and published by . This book was released on 1979 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Making Sense of Number, K–10 by : Mary Fiore
Download or read book Making Sense of Number, K–10 written by Mary Fiore and published by Pembroke Publishers Limited. This book was released on 2018-11-27 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical book shows you how to get to know the needs and abilities of your students and help them make sense of math concepts. Designed to enhance your professional learning, the book shows you how to notice, interpret, confirm, and respond to student thinking. You will discover how to structure learning experiences around key number concepts — quantity, counting, relating, and representing — developed across various strands: patterning and algebra, numbers and operations, measurement, geometry, and data and probability. Powerful examples of questions and prompts guide you to create a classroom where students get the support they need as they develop confidence in their number sense.
