Numbers And Sense

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Number Sense Routines

Jessica Shumway
Number Sense Routines Book PDF

Author : Jessica Shumway
Publisher : Taylor & Francis
Page : 193 pages
File Size : 41,7 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839781

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Number Sense Routines by Jessica Shumway Pdf

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.

Teaching Number Sense, Grade 1

Chris Confer
Teaching Number Sense Grade 1 Book PDF

Author : Chris Confer
Publisher : Math Solutions
Page : 158 pages
File Size : 55,8 Mb
Release : 2005
Category : Education
ISBN : 9780941355599

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Teaching Number Sense, Grade 1 by Chris Confer Pdf

The teaching number sense series focuses on the critical role that number sense plays in students' developing mathematical understanding. Number sense encompasses a wide range of abilities, including being able to make reasonable estimates and to think and reason flexibly.

The Number Sense

Stanislas Dehaene
The Number Sense Book PDF

Author : Stanislas Dehaene
Publisher : Oxford University Press
Page : 352 pages
File Size : 47,8 Mb
Release : 2011-04-29
Category : Mathematics
ISBN : 9780199877058

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The Number Sense by Stanislas Dehaene Pdf

Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist "Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review "Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers." --Booklist

Teaching Number Sense, Kindergarten

Chris Confer
Teaching Number Sense Kindergarten Book PDF

Author : Chris Confer
Publisher : Math Solutions
Page : 154 pages
File Size : 50,8 Mb
Release : 2005
Category : Education
ISBN : 9780941355582

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Teaching Number Sense, Kindergarten by Chris Confer Pdf

The teaching number sense series focuses on the critical role that number sense plays in students' developing mathematical understanding. Number sense encompasses a wide range of abilities, including being able to make reasonable estimates and to think and reason flexibly.

Making Sense of Number

Annette Hilton,Geoff Hilton
Making Sense of Number Book PDF

Author : Annette Hilton,Geoff Hilton
Publisher : Cambridge University Press
Page : 215 pages
File Size : 50,5 Mb
Release : 2021-09-15
Category : Education
ISBN : 9781009009928

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Making Sense of Number by Annette Hilton,Geoff Hilton Pdf

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

Number Sense and Number Nonsense

Nancy Krasa,Sara Shunkwiler
Number Sense and Number Nonsense Book PDF

Author : Nancy Krasa,Sara Shunkwiler
Publisher : Brookes Publishing Company
Page : 252 pages
File Size : 47,9 Mb
Release : 2009
Category : Education
ISBN : STANFORD:36105132196192

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Number Sense and Number Nonsense by Nancy Krasa,Sara Shunkwiler Pdf

Short and highly accessible book that guides readers in recommending evaluation and testing for math learning disabilities.

Teaching Number Sense

Julia Anghileri
Teaching Number Sense Book PDF

Author : Julia Anghileri
Publisher : A&C Black
Page : 167 pages
File Size : 54,7 Mb
Release : 2000-12-21
Category : Education
ISBN : 9780826448194

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Teaching Number Sense by Julia Anghileri Pdf

A specialist text that uses a balance of theory and practice to help teachers deal with the problems and issues they will encounter in teaching mathematics. It includes examples for use in the classroom, and addresses the issue of how to teach most effectively in light of curriculum changes.

Number Sense and Nonsense

Claudia Zaslavsky
Number Sense and Nonsense Book PDF

Author : Claudia Zaslavsky
Publisher : Chicago Review Press
Page : 158 pages
File Size : 42,8 Mb
Release : 2001-07-01
Category : Juvenile Nonfiction
ISBN : 9781883052805

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Number Sense and Nonsense by Claudia Zaslavsky Pdf

These 80-plus math activities and number games help kids to think critically about math instead of just memorizing rules. The emphasis is on the underlying relationships between numbers and the process of manipulating them. Kids get together and play games with odd and even numbers, prime and composite numbers, factors, divisors, and multiples of numbers, common and decimal fractions. Children learn the history of numbers—finger counting, number symbols in various cultures, and different ways of calculating. The book is full of riddles, puzzles, number tricks, and calculator games. Kids develop skills in estimation and computation as they become familiar with the characteristics and behavior of numbers. They will gain math confidence and be ready to take chances, find their own errors, and challenge their peers.

The Number Sense : How the Mind Creates Mathematics

Stanislas Dehaene Research Affiliate Institut National de la Sante et de la Recherche Medicale
The Number Sense How the Mind Creates Mathematics Book PDF

Author : Stanislas Dehaene Research Affiliate Institut National de la Sante et de la Recherche Medicale
Publisher : Oxford University Press, USA
Page : 290 pages
File Size : 44,8 Mb
Release : 1997-11-06
Category : Mathematics
ISBN : 9780199723096

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The Number Sense : How the Mind Creates Mathematics by Stanislas Dehaene Research Affiliate Institut National de la Sante et de la Recherche Medicale Pdf

Our understanding of how the human brain performs mathematical calculations is far from complete. But in recent years there have been many exciting scientific discoveries, some aided by new imaging techniques--which allow us for the first time to watch the living mind at work--and others by ingenious experiments conducted by researchers all over the world. There are still perplexing mysteries--how, for instance, do idiot savants perform almost miraculous mathematical feats?--but the picture is growing steadily clearer. In The Number Sense, Stanislas Dehaene offers general readers a first look at these recent stunning discoveries, in an enlightening exploration of the mathematical mind. Dehaene, a mathematician turned cognitive neuropsychologist, begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and he describes ingenious experiments that show that human infants also have a rudimentary number sense (American scientist Karen Wynn, for instance, using just a few Mickey Mouse toys and a small puppet theater, proved that five-month-old infants already have the ability to add and subtract). Further, Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. But how then did the brain leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics, and in a marvelous chapter he traces the history of numbers, from early times when people indicated a number by pointing to a part of their body (even today, in many societies in New Guinea, the word for six is "wrist"), to early abstract numbers such as Roman numerals (chosen for the ease with which they could be carved into wooden sticks), to modern numbers. On our way, we also discover many fascinating facts: for example, because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. Dehaene also explores the unique abilities of idiot savants and mathematical geniuses, asking what might explain their special mathematical talent. And we meet people whose minute brain lesions render their mathematical ability useless--one man, in fact, who is certain that two and two is three. Using modern imaging techniques (PET scans and MRI), Dehaene reveals exactly where in the brain numerical calculation takes place. But perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in mathematics or the mind. Dehaene argues, for instance, that many of the difficulties that children face when learning math, and which may turn into a full-blown adult "innumeracy," stem from the architecture of our primate brain, which has not evolved for the purpose of doing mathematics. He also shows why the human brain does not work like a computer, and that the physical world is not based on mathematics--rather, mathematics evolved to explain the physical world the way that the eye evolved to provide sight. A truly fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how our mathematics opens up a window on the human mind.

Making Sense of Numbers

Jane E. Miller
Making Sense of Numbers Book PDF

Author : Jane E. Miller
Publisher : SAGE Publications
Page : 509 pages
File Size : 43,8 Mb
Release : 2021-08-30
Category : Social Science
ISBN : 9781544355603

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Making Sense of Numbers by Jane E. Miller Pdf

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 Talks

Sherry Parrish
Number Talks Book PDF

Author : Sherry Parrish
Publisher : Math Solutions
Page : 434 pages
File Size : 45,6 Mb
Release : 2010
Category : Education
ISBN : 9781935099116

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Number Talks by Sherry Parrish Pdf

"A multimedia professional learning resource"--Cover.

It Makes Sense!

Melissa Conklin
It Makes Sense Book PDF

Author : Melissa Conklin
Publisher : Math Solutions
Page : 302 pages
File Size : 42,9 Mb
Release : 2010
Category : Education
ISBN : 9781935099109

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It Makes Sense! by Melissa Conklin Pdf

"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.

Learning and Teaching Early Math

Douglas H. Clements,Julie Sarama
Learning and Teaching Early Math Book PDF

Author : Douglas H. Clements,Julie Sarama
Publisher : Routledge
Page : 552 pages
File Size : 53,6 Mb
Release : 2009-04-01
Category : Education
ISBN : 9781135843793

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Learning and Teaching Early Math by Douglas H. Clements,Julie Sarama Pdf

In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.

Developing Number Sense

Julia Anghileri
Developing Number Sense Book PDF

Author : Julia Anghileri
Publisher : A&C Black
Page : 171 pages
File Size : 49,6 Mb
Release : 2008-05-15
Category : Education
ISBN : 9781847061256

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Developing Number Sense by Julia Anghileri Pdf

'Developing Number Sense' identifies innovative teaching practices and provides a rigorous treatment of arithmetic and its assessment at Key Stages two and three.

Number Sense Interventions

Nancy C. Jordan,Nancy Dyson
Number Sense Interventions Book PDF

Author : Nancy C. Jordan,Nancy Dyson
Publisher : Brookes Publishing Company
Page : 0 pages
File Size : 46,6 Mb
Release : 2014
Category : Education
ISBN : 1598572911

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Number Sense Interventions by Nancy C. Jordan,Nancy Dyson Pdf

Use with the Number Sense Screener?(NSS?), your quick, reliable way to screen early numerical competencies. Find out where children need extra support-and then use the Number Sense Interventions to target those specific skills.