A Brain For Numbers

Author : Andreas Nieder
Publisher : MIT Press
Page : 394 pages
File Size : 47,8 Mb
Release : 2019-11-19
Category : Science
ISBN : 9780262042789

Get Book

A Brain for Numbers by Andreas Nieder Pdf

How our intuitive understanding of numbers is deeply rooted in our biology, traceable through both evolution and development. Humans' understanding of numbers is intuitive. Infants are able to estimate and calculate even before they learn the words for numbers. How have we come to possess this talent for numbers? In A Brain for Numbers, Andreas Nieder explains how our brains process numbers. He reports that numerical competency is deeply rooted in our biological ancestry; it can be traced through both the evolution of our species and the development of our individual minds. It is not, as it has been traditionally explained, based on our ability to use language. We owe our symbolic mathematical skills to the nonsymbolic numerical abilities that we inherited from our ancestors. The principles of mathematics, Nieder tells us, are reflections of the innate dispositions wired into the brain. Nieder explores how the workings of the brain give rise to numerical competence, tracing flair for numbers to dedicated “number neurons” in the brain. Drawing on a range of methods including brain imaging techniques, behavioral experiments, and twin studies, he outlines a new, integrated understanding of the talent for numbers. Along the way, he compares the numerical capabilities of humans and animals, and discusses the benefits animals reap from such a capability. He shows how the neurobiological roots of the brain's nonverbal quantification capacity are the evolutionary foundation of more elaborate numerical skills. He discusses how number signs and symbols are represented in the brain; calculation capability and the “neuromythology” of mathematical genius; the “start-up tools” for counting and developmental of dyscalculia (a number disorder analogous to the reading disorder dyslexia); and how the brain processes the abstract concept of zero.

Author : Barbara A. Oakley
Publisher : TarcherPerigee
Page : 338 pages
File Size : 47,6 Mb
Release : 2014-07-31
Category : Mathematics
ISBN : 9780399165245

Get Book

A Mind for Numbers by Barbara A. Oakley Pdf

Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

Author : Andreas Nieder
Publisher : MIT Press
Page : 394 pages
File Size : 41,9 Mb
Release : 2019-11-19
Category : Science
ISBN : 9780262354325

Get Book

A Brain for Numbers by Andreas Nieder Pdf

How our intuitive understanding of numbers is deeply rooted in our biology, traceable through both evolution and development. Humans' understanding of numbers is intuitive. Infants are able to estimate and calculate even before they learn the words for numbers. How have we come to possess this talent for numbers? In A Brain for Numbers, Andreas Nieder explains how our brains process numbers. He reports that numerical competency is deeply rooted in our biological ancestry; it can be traced through both the evolution of our species and the development of our individual minds. It is not, as it has been traditionally explained, based on our ability to use language. We owe our symbolic mathematical skills to the nonsymbolic numerical abilities that we inherited from our ancestors. The principles of mathematics, Nieder tells us, are reflections of the innate dispositions wired into the brain. Nieder explores how the workings of the brain give rise to numerical competence, tracing flair for numbers to dedicated “number neurons” in the brain. Drawing on a range of methods including brain imaging techniques, behavioral experiments, and twin studies, he outlines a new, integrated understanding of the talent for numbers. Along the way, he compares the numerical capabilities of humans and animals, and discusses the benefits animals reap from such a capability. He shows how the neurobiological roots of the brain's nonverbal quantification capacity are the evolutionary foundation of more elaborate numerical skills. He discusses how number signs and symbols are represented in the brain; calculation capability and the “neuromythology” of mathematical genius; the “start-up tools” for counting and developmental of dyscalculia (a number disorder analogous to the reading disorder dyslexia); and how the brain processes the abstract concept of zero.

Author : Elizabeth Brannon
Publisher : Academic Press
Page : 375 pages
File Size : 41,7 Mb
Release : 2011-05-31
Category : Mathematics
ISBN : 9780123859488

Get Book

Space, Time and Number in the Brain by Elizabeth Brannon Pdf

The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields

Author : Chip Heath,Karla Starr
Publisher : Simon and Schuster
Page : 208 pages
File Size : 47,6 Mb
Release : 2022-01-11
Category : Business & Economics
ISBN : 9781982165451

Get Book

Making Numbers Count by Chip Heath,Karla Starr Pdf

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.

Author : National Academy of Sciences,Institute of Medicine,Sandra Ackerman
Publisher : National Academies Press
Page : 195 pages
File Size : 54,7 Mb
Release : 1992-01-01
Category : Medical
ISBN : 9780309045292

Get Book

Discovering the Brain by National Academy of Sciences,Institute of Medicine,Sandra Ackerman Pdf

The brain ... There is no other part of the human anatomy that is so intriguing. How does it develop and function and why does it sometimes, tragically, degenerate? The answers are complex. In Discovering the Brain, science writer Sandra Ackerman cuts through the complexity to bring this vital topic to the public. The 1990s were declared the "Decade of the Brain" by former President Bush, and the neuroscience community responded with a host of new investigations and conferences. Discovering the Brain is based on the Institute of Medicine conference, Decade of the Brain: Frontiers in Neuroscience and Brain Research. Discovering the Brain is a "field guide" to the brainâ€"an easy-to-read discussion of the brain's physical structure and where functions such as language and music appreciation lie. Ackerman examines: How electrical and chemical signals are conveyed in the brain. The mechanisms by which we see, hear, think, and pay attentionâ€"and how a "gut feeling" actually originates in the brain. Learning and memory retention, including parallels to computer memory and what they might tell us about our own mental capacity. Development of the brain throughout the life span, with a look at the aging brain. Ackerman provides an enlightening chapter on the connection between the brain's physical condition and various mental disorders and notes what progress can realistically be made toward the prevention and treatment of stroke and other ailments. Finally, she explores the potential for major advances during the "Decade of the Brain," with a look at medical imaging techniquesâ€"what various technologies can and cannot tell usâ€"and how the public and private sectors can contribute to continued advances in neuroscience. This highly readable volume will provide the public and policymakersâ€"and many scientists as wellâ€"with a helpful guide to understanding the many discoveries that are sure to be announced throughout the "Decade of the Brain."

Author : Barbara Oakley, PhD,Terrence Sejnowski, PhD,Alistair McConville
Publisher : Penguin
Page : 256 pages
File Size : 48,8 Mb
Release : 2018-08-07
Category : Juvenile Nonfiction
ISBN : 9780525504467

Get Book

Learning How to Learn by Barbara Oakley, PhD,Terrence Sejnowski, PhD,Alistair McConville Pdf

A surprisingly simple way for students to master any subject--based on one of the world's most popular online courses and the bestselling book A Mind for Numbers A Mind for Numbers and its wildly popular online companion course "Learning How to Learn" have empowered more than two million learners of all ages from around the world to master subjects that they once struggled with. Fans often wish they'd discovered these learning strategies earlier and ask how they can help their kids master these skills as well. Now in this new book for kids and teens, the authors reveal how to make the most of time spent studying. We all have the tools to learn what might not seem to come naturally to us at first--the secret is to understand how the brain works so we can unlock its power. This book explains: • Why sometimes letting your mind wander is an important part of the learning process • How to avoid "rut think" in order to think outside the box • Why having a poor memory can be a good thing • The value of metaphors in developing understanding • A simple, yet powerful, way to stop procrastinating Filled with illustrations, application questions, and exercises, this book makes learning easy and fun.

Author : Stanislas Dehaene
Publisher : Oxford University Press
Page : 352 pages
File Size : 52,5 Mb
Release : 2011-04-29
Category : Mathematics
ISBN : 9780199877058

Get Book

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

Author : Ruth Drayer
Publisher : Unknown
Page : 228 pages
File Size : 45,7 Mb
Release : 1994
Category : Body, Mind & Spirit
ISBN : 0964032104

Get Book

Numerology by Ruth Drayer Pdf

This guide for the beginner as well as the advanced numerologist aids in constructing charts and interpreting information coded in one's birthday and name.

Author : Brian Butterworth
Publisher : Unknown
Page : 446 pages
File Size : 53,5 Mb
Release : 2000
Category : Mathematical ability
ISBN : 0333766105

Get Book

The Mathematical Brain by Brian Butterworth Pdf

Author : Ruth Drayer
Publisher : Square One Publishers, Inc.
Page : 196 pages
File Size : 43,8 Mb
Release : 2003
Category : Body, Mind & Spirit
ISBN : 0757000983

Get Book

Numerology by Ruth Drayer Pdf

Numerology is the art and science of interpreting how numbers influence our lives and destinies. Written for the beginner as well as the advanced student, this book begins with a history of numerology, and then examines the fundamentals of this science. Diagrams and instructions guide you in constructing your personal numerological chart.

Author : Laurel Mellin
Publisher : Ebt
Page : 158 pages
File Size : 47,6 Mb
Release : 2020-03-24
Category : Electronic
ISBN : 1893265013

Get Book

"What's My Number?" by Laurel Mellin Pdf

From a New York Times best-selling author and health psychologist, "What's my number?" is a game-changing book for all self-helpers! It gives us a simple, profoundly effective way to instantly update how we process daily life to meet the high-stress demands of our times. Stress overload has caused us to enter the age of the emotional brain when we need emotional tools to unlock the brain's power for health, happiness, and purpose. Based on emotional brain training (EBT), by asking ourselves one simple question - What's my number? - we can use the natural power of our own emotions to: crush cravings and regain control, clear away ineffective beliefs, deal with workplace stress, relieve anxiety, depression, and hostility, resolve conflicts in relationships, boost our sense of purpose, and create joy in our lives!

Author : David J. Smith
Publisher : Unknown
Page : 32 pages
File Size : 46,7 Mb
Release : 2016-02-01
Category : Human beings
ISBN : 1925059553

Get Book

If... by David J. Smith Pdf

Imagine if you could condense all 3.5 billion years of life on Earth into just one hour. If you did, the dinosaurs wouldn?t show up until 56 minutes into the hour, and they?d be gone three minutes later. Modern humans (the ones we are related to) would amble into view at the very end of the hour, with just 0.2 seconds to spare.

Author : Richard Elwes
Publisher : Quercus Books
Page : 0 pages
File Size : 53,8 Mb
Release : 2011
Category : Mathematics
ISBN : 1849164800

Get Book

How to Build a Brain by Richard Elwes Pdf

Can you outrun a bullet? How do you build an electronic brain? Is it possible to create an unbreakable code? Could you slow down time? How do you unleash chaos? If you thought mathematics was all about measuring angles in a triangle or factorizing equations, think again... How to Build a Brain and 34 other really interesting uses of mathematics demystifies the astonishing world of maths in a series of intriguing, entertaining and often extraordinary scenarios - that explain key concepts in plain and simple language. You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics most challenging problem. You'll learn essential survival skills such as how to survive in a whirlpool, how to slay a mathematical monster and how to be alive and dead at the same time. And along the way you'll discover some plain old cool stuff like how to unleash chaos, how to create an unbreakable code and how to use the mathematics to win at roulette or avoid going to prison. So if you want to get to grips with the great questions of number theory and geometry, the mysteries of the prime numbers or Plato's classification of regular polyhedra, or if you are really more interested in learning how to have beautiful children or how to make a million on the stock market, this is the perfect introduction to the fascinating world of modern mathematics.

Author : Ltd Publications International
Publisher : Publications International, Limited
Page : 128 pages
File Size : 40,7 Mb
Release : 2017-02-15
Category : Games
ISBN : 168022770X

Get Book

COLOR BY NUMBER GREEN by Ltd Publications International Pdf