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 Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra) (2014) by Barbara Oakley is a collection of learning strategies for students of all ages. Too many people falsely believe that they’re naturally deficient in math and science when the real problem is their approach, not their abilities... Purchase this in-depth summary to learn more.
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.
|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
For many students in Nevada and throughout the nation, they are the first in their family to go to college—these students are identified as “first-generation.” The population of first-generation students continues to increase year-over-year and their unique needs have shaped the way education practitioners must approach serving future students effectively. This collection of essays, written by University of Nevada, Reno (UNR) faculty and students, is an examination of the programs and strategies created to support first-generation and other underrepresented student populations. In addition, it serves as a dedication to the families and students whose hopes and dreams include the attainment of a college degree. Readers will gain insight into the framework needed to provide accessible programs and services to a large and diverse student population before, during, and after college graduation as well as first-hand success stories from the students themselves. Each generation hopes for a better life for their children. Higher education, in particular, has been a dream for many in this country that has been made possible through public and private financial support. Every new generation of college-bound students faces new and evolving challenges, but the fierce dedication and commitment demonstrated in these pages define the key to developing a thriving and diverse institution that helps all students succeed.
Wordsworth depicted Newton, as Roubiliac may well have done in his statue of him, as voyaging, in ecstasy, through God's sensorium. In the Prelude passage from which the title A Mind For Ever Voyaging is derived, and in various others portraying Newton and science, Wordsworth seems to have written for two audiences, the general public and a much smaller, private audience, while seeking to elevate the minds of both to God. Like Pope before him, Wordsworth achieved "What oft was wrought, but ne'er so well exprest."
If you found maths lessons at school irrelevant and boring, that’s because you didn’t have a teacher like Bobby Seagull. ***As seen on BBC 2's Monkman & Seagull's Genius Guide to Britain*** Long before his rise to cult fandom on University Challenge, Bobby Seagull was obsessed with numbers. They were the keys that unlocked the randomness of football results, the beauty of art and the best way to get things done. In his absorbing book, Bobby tells the story of his life through numbers and shows the incredible ways maths can make sense of the world around us. From magic shows to rap lyrics, from hobbies to outer space, from fitness to food – Bobby’s infectious enthusiasm for numbers will change how you think about almost everything. Told through fascinating stories and insights from Bobby’s life, and with head-scratching puzzles in every chapter, you’ll never look at numbers the same way again.
"Olly's top-notch language-learning insights are right in line with the best of what we know from neuroscience and cognitive psychology about how to learn effectively. I love his work - and you will too!" - Barbara Oakley, PhD, Author of New York Times bestseller A Mind for Numbers Short Stories in Danish for Beginners has been written especially for learners from beginner to low-intermediate level, designed to give a sense of achievement, a feeling of progress and most importantly - enjoyment! Mapped to A2-B1 on the Common European Framework of Reference (CEFR) for languages, these eight captivating stories are designed to give you a sense of achievement and a feeling of progress when reading. What does this book give you? - Eight stories in a variety of exciting genres, from science fiction and crime to history and thriller - making reading fun, while you learn a wide range of new vocabulary -Controlled language at your level to help you progress confidently - Accessible grammar so you learn new structures naturally, in a stress-free way - Realistic spoken dialogues to help you learn conversational expressions and improve your speaking ability - Pleasure! Research shows that if you're enjoying reading in a foreign language, you won't experience the usual feelings of frustration - 'It's too hard!' 'I don't understand!' Carefully curated to make learning a new language easy, these stories include key features that will support and consolidate your progress, including: - A glossary for bolded words in each chapter - Full plot summary - A bilingual word list - Comprehension questions after each chapter. As a result, you will be able to focus on enjoying reading, delighting in your improved range of vocabulary and grasp of the language, without ever feeling overwhelmed. From science fiction to fantasy, to crime and thrillers, Short Stories in Danish for Beginners will make learning Danish easy and enjoyable.
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...