Making Sense of Number


Book Description

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




Making Sense of Numbers


Book Description

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.




Number Sense Routines


Book Description

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.




It Makes Sense!


Book Description

"Ten-frames are a model to help students efficiently gain and develop an understanding of addition and subtraction. The classroom-tested routines, games, and problem-solving lessons in this book use ten-frames to develop students' natural strategies for adding numbers and fit into any set of state standards or curriculum"--Provided by publisher.




Making Numbers Make Sense


Book Description

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.




Number Talks


Book Description

"A multimedia professional learning resource"--Cover.




Beyond the Numbers


Book Description

Statistics is required coursework within most teacher certification programs. Beyond the Numbers presents a nonthreatening, practical approach to statistics, providing step-by-step instructions for understanding and implementing the essential components of the subject.The basic and understandable explanations in Beyond the Numbers break down complex statistical processes to simple arithmetic computations that can be applied with the confidence that accompanies understanding.




Making Sense of Number, K–10


Book Description

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.




Where Did You Get This Number?


Book Description

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 Numbers Count


Book Description

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.