The companion book to COURSERA®'s wildly popular massive open online course "Learning How to Learn" Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. The learning strategies in this book apply not only to math and science, but to any subject in which we struggle. We all have what it takes to excel in areas that don't seem to come naturally to us at first, and learning them does not have to be as painful as we might think! From the Trade Paperback edition.
a mind for numbers
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A 30 day workbook for turning words into actions and actions into results Imagine 2 scenarios. In the first one you have just finished reading A Mind For Numbers by Barbara Oakley. It was a great book and you remember that it mentioned a lot of smart things. But you can't remember much of it now as you close the book. In the second scenario you have just finished the same book. The difference now is that you have a plan for how to implement this new knowledge to improve your life. Most people will find themselves in scenario one. We believe that reading is an investment. You spend time with a book because you hope that it will make you happier, healthier, wealthier or smarter. But simply just reading a great book is not enough. You have to take action! This workbook helps you do just that and makes it easier for you to make real changes from the books you read.
Mental math is a skill people practice on a daily basis, often subconsciously, which involves doing calculations in your head. In mental math, you don't have to write down elaborate details concerning the variables involved. Children are usually encouraged to learn mental math skills early in school, because being good at mental calculations can make a person successful in many other fields. Please note that even if being good at mental math does not necessarily signify high intelligence, people usually think it does, and that perception can help you obtain opportunities for advanced study or career development. Mental math proficiency is not just good for academic pursuits but also helps make life easier overall. This book dives deep into the mechanics of mental math and provides examples that will help the reader build mental math proficiency quickly.
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.
Demonstrates that an innate sense of numbers is as integral to the makeup of the human brain as the sense of language, arguing that there is a math gene and that mathematics is fundamental to human nature
|Book Title||: The Number Sense How the Mind Creates Mathematics|
|Author||: Stanislas Dehaene Research Affiliate Institut National de la Sante et de la Recherche Medicale|
|Publisher||: Oxford University Press, USA|
|Release Date||: 1997-11-06|
|Available Language||: English, Spanish, And French|
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.
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
Drive Me Wild Christine Warren Tess Menzies can work a spell with a few blinks of her baby blue eyes. But this dedicated witch can't summon up a single good reason she's been made an envoy between her kind and Manhattan's fiercest were-creatures. The two sides haven't spoken in four hundred years, and she'll need every miracle in the book to broker any kind of truce. And that means outwitting Council of Others leader Rafael De Santos whose tantalizing moves and fierce hungry kisses are magic even a formidable sorceress can't resist . . . It doesn't take a cat's supernatural senses for Rafael to suspect that there's something strange about this unexpected peace offering. And finding the truth is just as tempting as uncovering the secrets Tess is trying to conceal. Why, she's tantalizing enough to make this wandering were-jaguar think he's found the perfect mate—one he's only dreamed of. But his stealth and her spells can't guarantee they have a chance at survival, much less a future together...
The Number Sense is an enlightening exploration of the mathematical mind. Describing experiments that show that human infants have a rudimentary number sense, Stanislas Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. 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 our mathematics opens up a window on the human mind.
I am 57 year old native Virginian whose family came here in the early 1600s. I have collected since my early teens from a mostly rural area where many would think there would not be a lot of collecting possible but I found that not to be true. There is a link between collecting an addiction but is is just the thrill of finding each and every piece that you can. For years I seldom sold a piece but when I did I found that same thrill for the second time. It was not unusual to sell a piece for four or five times what I had paid. From my history loving family I have had a lot of help as they will often tell me what they have seen so that I can go back and make a deal on it. My wife now goes out once or twice a week to help me and often ended up selling as well. The selling part is important as it enables me to collect pieces I would never sell without taking away money from our family budget. It has become a lifestyle which has goes into everyday life as well as I try to get the best deal on everything. Now if I could only bargain on the gas bill or the water bill my life would be complete.