[PDF Download] The Number Sense How The Mind Creates Mathematics

The Number Sense   How the Mind Creates Mathematics PDF
Author: Stanislas Dehaene Research Affiliate Institut National de la Sante et de la Recherche Medicale
Publisher: Oxford University Press, USA
ISBN: 0199723095
Size: 35.73 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 288
View: 5617
Status: Available

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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.

[PDF Download] Number Sense Routines

Number Sense Routines PDF
Author: Jessica F. Shumway
Publisher: Stenhouse Publishers
ISBN: 1571107908
Size: 79.19 MB
Format: PDF, Mobi
Category : Education
Languages : en
Pages : 178
View: 1214
Status: Available

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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. --from publisher description

[PDF Download] Teaching Number Sense Kindergarten

Teaching Number Sense  Kindergarten PDF
Author: Chris Confer
Publisher: Math Solutions
ISBN: 0941355586
Size: 65.69 MB
Format: PDF, Docs
Category : Education
Languages : en
Pages : 134
View: 857
Status: Available

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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.

[PDF Download] The Number Sense

The Number Sense PDF
Author: Stanislas Dehaene
Publisher: OUP USA
ISBN: 0199753873
Size: 29.15 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 316
View: 2515
Status: Available

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"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we 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. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A 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 math can open up a window on the human mind"--Provided by publisher.

[PDF Download] Building Number Sense Through The Common Core

Building Number Sense Through the Common Core PDF
Author: Bradley S. Witzel
Publisher: Corwin Press
ISBN: 1452202559
Size: 34.81 MB
Format: PDF, Kindle
Category : Education
Languages : en
Pages : 185
View: 3797
Status: Available

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Build a lasting foundation for math proficiency right from the start The "math" is on the wall: unless our youngest mathematicians have a solid understanding of number sense, they have little hope of mastering the higher math that lies ahead. This essential resource helps you identify where K-3 students are likely to struggle, and then intervene with smart, targeted instruction. The authors provide: Teaching strategies that build number sense skills, including quantity and cardinality, fact fluency, and more Adaptations for students with specific needs, based on an RTI approach Guidance on measuring number sense through assessments User-friendly charts, tables, and sample math problems

[PDF Download] Number Sense

Number Sense PDF
Author: Alistair McIntosh
Publisher: Dale Seymour Publication
ISBN:
Size: 35.49 MB
Format: PDF, Docs
Category : Juvenile Nonfiction
Languages : en
Pages : 213
View: 6995
Status: Available

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Reproducible pages with simple-to-use, 10-minute activities to help students learn to think about and use numbers in everyday situations.

[PDF Download] Developing Number Sense Grades 3 6

Developing Number Sense  Grades 3 6 PDF
Author: Rusty Bresser
Publisher: Math Solutions
ISBN: 0941355233
Size: 64.82 MB
Format: PDF, Docs
Category : Education
Languages : en
Pages : 179
View: 1716
Status: Available

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Imaginative lessons give students practice with mental computation, basic operations, navigating the number system, and estimation. Content is crafted to show that number sense is not a specific skill, but encompasses a student’s ability to think and reason flexibly and make sound numerical judgments.

[PDF Download] Teaching Number Sense

Teaching Number Sense PDF
Author: Julia Anghileri
Publisher: A&C Black
ISBN: 9780826448071
Size: 14.70 MB
Format: PDF, ePub
Category : Education
Languages : en
Pages : 149
View: 793
Status: Available

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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.

[PDF Download] Developing Number Sense

Developing Number Sense PDF
Author: Julia Anghileri
Publisher: A&C Black
ISBN: 1847061257
Size: 66.72 MB
Format: PDF, Kindle
Category : Education
Languages : en
Pages : 157
View: 2175
Status: Available

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

[PDF Download] Contemporary S Number Sense

Contemporary s Number Sense PDF
Author: Al Suter
Publisher:
ISBN: 9780809242283
Size: 78.44 MB
Format: PDF, Kindle
Category : Decimal fractions
Languages : en
Pages : 60
View: 4173
Status: Available

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Encourage students to explore number relationships and to build a concrete understanding of mathematical operations, problem-solving strategies, and real-life applications.

[PDF Download] Contemporary S Number Sense

Contemporary s Number Sense PDF
Author: Al Suter
Publisher:
ISBN: 9780809242283
Size: 19.64 MB
Format: PDF, ePub, Docs
Category : Decimal fractions
Languages : en
Pages : 60
View: 6148
Status: Available

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Encourage students to explore number relationships and to build a concrete understanding of mathematical operations, problem-solving strategies, and real-life applications.

[PDF Download] Number Sense Interventions

Number Sense Interventions PDF
Author: Nancy C. Jordan
Publisher: Brookes Publishing Company
ISBN: 9781598572919
Size: 14.31 MB
Format: PDF, Kindle
Category : Education
Languages : en
Pages : 248
View: 3608
Status: Available

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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.