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The Mathematical Brain


The Mathematical Brain
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The Mathematical Brain Across The Lifespan


The Mathematical Brain Across The Lifespan
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Author :
language : en
Publisher: Elsevier
Release Date : 2016-06-20

The Mathematical Brain Across The Lifespan written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-20 with Science categories.


The Mathematical Brain Across the Lifespan is the latest volume in the Progress in Brain Research series that focuses on new trends and developments. This established international series examines major areas of basic and clinical research within the neurosciences, as well as popular and emerging subfields. Provides a comprehensive review of the most recent progress in the mathematical brain across the lifespan Explores new trends and developments in the field Enhances the literature of neuroscience by further expanding the established, ongoing international series Progress in Brain Research



The Mathematical Brain


The Mathematical Brain
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Author : Brian Butterworth
language : en
Publisher:
Release Date : 1999

The Mathematical Brain written by Brian Butterworth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Acalculia categories.




What Counts


What Counts
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Author : Brian Butterworth
language : en
Publisher:
Release Date : 1999

What Counts written by Brian Butterworth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


Though he admits to not being particularly good at math, Butterworth (cognitive neuropsychology, U. College, London), the founder of the Mathematical Cognition journal, contends that we all possess an inherent "numerosity" sense--developed to different degrees of course. The author bases his case on empirical research and historical speculation. Annotation copyrighted by Book News, Inc., Portland, OR



Development Of Mathematical Cognition


Development Of Mathematical Cognition
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Author : Daniel B. Berch
language : en
Publisher: Academic Press
Release Date : 2015-10-03

Development Of Mathematical Cognition written by Daniel B. Berch and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-03 with Psychology categories.


Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest in innovative measures and methodological advances from the top researchers in the field. Provides details about new progress made in the study of neural correlates of numerical and arithmetic cognition Addresses recent work in quantitative and molecular genetics Works to improve instruction in numerical, arithmetical, and algebraic thinking and learning Informs policy to help increase the level of mathematical proficiency among the general public



The Structure Of The Mathematical Brain


The Structure Of The Mathematical Brain
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Author : Tudor Popescu
language : en
Publisher:
Release Date : 2014

The Structure Of The Mathematical Brain written by Tudor Popescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.




The Number Sense


The Number Sense
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Author : Stanislas Dehaene
language : en
Publisher: Oxford University Press
Release Date : 2011-04-29

The Number Sense written by Stanislas Dehaene and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-29 with Psychology categories.


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



My Brain Is Open


My Brain Is Open
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Author : Bruce Schechter
language : en
Publisher: Simon and Schuster
Release Date : 2000-02-28

My Brain Is Open written by Bruce Schechter and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-28 with Biography & Autobiography categories.


Traces the eccentric life of legendary mathematician Paul Erdos, a wandering genius who fled his native Hungary during the Holocaust and helped devise the mathematical basis of computer science.



The Number Sense How The Mind Creates Mathematics


The Number Sense How The Mind Creates Mathematics
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Author : Stanislas Dehaene Research Affiliate Institut National de la Sante et de la Recherche Medicale
language : en
Publisher: Oxford University Press, USA
Release Date : 1997-11-06

The Number Sense How The Mind Creates Mathematics written by Stanislas Dehaene Research Affiliate Institut National de la Sante et de la Recherche Medicale and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-06 with Mathematics categories.


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.



Ahmes Legacy


Ahmes Legacy
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Author : Marcel Danesi
language : en
Publisher: Springer
Release Date : 2018-08-11

Ahmes Legacy written by Marcel Danesi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-11 with Mathematics categories.


This book looks at classic puzzles from the perspective of their structures and what they tell us about the brain. It uses the work on the neuroscience of mathematics from Dehaene, Butterworth, Lakoff, Núñez, and many others as a lens to understand the ways in which puzzles reflect imaginative processes blended with rational ones. The book is not about recreational or puzzle-based mathematics in and of itself but rather about what the classic puzzles tell us about the mathematical imagination and its impact on the discipline. It delves into the history of classic math puzzles, deconstructing their raison d’être and describing their psychological features, so that their nature can be fleshed out in order to help understand the mathematical mind. This volume is the first monographic treatment of the psychological nature of puzzles in mathematics. With its user-friendly technical level of discussion, it is of interest to both general readers and those who engage in the disciplines of mathematics, psychology, neuroscience, and/or anthropology. It is also ideal as a textbook source for courses in recreational mathematics, or as reference material in introductory college math courses.



The Mathematician S Brain


The Mathematician S Brain
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Author : David Ruelle
language : en
Publisher: Princeton University Press
Release Date : 2007-08-05

The Mathematician S Brain written by David Ruelle and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-05 with Mathematics categories.


Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.