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.
Are you facing classes in math and science this semester? Will you have to interpret data from graphs and charts in your job? Would you like to be a better gambler? Or sharpen your money skills? No longer will you need to tell yourself that you are "not good with figures" once you've Read Winston J. Duncan's book A Mind for Numbers; How to Exercise Your Brain To Think Like a Scientist. Many of us struggled our way through math and science classes in school and were relieved once the semester was over. Duncan recognizes this and begins his book with what scientific thinking actually is: thinking strategically, or methodically. A Mind for Numbers states a true but little known fact: that scientific thinkers' minds actually grow stronger over their lifespans, as the mind of a non-scientific thinker grows weaker during the same time span. This is because scientists and their peers are constantly focused on solving problems and developing and honing theories to explain phenomema: they are constantly exercising their brains! Duncan's exercise's will improve our brains' speed, accuracy, focus and clarity, regardless of our ages or previous mental activity level. If you feel like you're suffering from a foggy mindset lately, this could be the cure! A Mind for Numbers asks us to recall the processes we were to apply in school to mathematical and scientific questions. It's this process-oriented thinking that enables scientists and mathematicians to organize their thoughts. Duncan then outlines a detailed but easily adaptable plan for process-based thinking that readers can apply to any problem in their own lives, highlighting the purpose of each step for clarification. The next phase of A Mind for Numbers deals with observational thinking, or retaining lots of different pieces of data about something we've experienced. Observational thinking is important not only for scientists and mathematicians, but also law enforcement officials and those in medicine. Duncan takes readers past the basic senses and shows us the depth of a scientists observational prowess, displaying the level of detail we should work towards operating. The reader sees how all of these sometimes minute pieces of data give him an edge in solving his problem or making a prediction. Then we arrive at the educational guess, or hypothesis used in scientific thinking. Duncan shows readers how to easily formulate a hypothesis and test it to see how close our assertion is. Duncan prepares us for repetition of this process, just as scientists themselves repeat it, sometimes often, in order to get to a solution. This version of A Mind for Numbers includes a bonus chapter on making solid predictions about just about anything. DUncan shows us how to incorporate all of the steps of the scientific method of thinking into the prediction-making process. Here, the observation of experience is especially important, and Duncan explains why. DUncan also includes brainstorming methods that can bring with them breakthrough ideas - perfect for someone looking to make their mark in science, engineering, writing and business! ***Limited Edition***
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. 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.
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.
This book provides a fundamental reassessment of mathematics education in the digital era. It constitutes a new mindset of how information and knowledge are processed by introducing new interconnective and interactive pedagogical approaches. Math education is catching up on technology, as courses and materials use digital sources and resources more and more. The time has come to evaluate this new dynamic, which transcends all previous use of ancillary devices to supplement classroom math instruction. Interactivity and interconnectivity with the online world of math and math texts (such as television programs and internet sites) can be integrated with our traditional modes for delivery of math instruction. This book looks at how this integration can unfold practically by applying these relevant pedagogical principles to elementary topics such as numeration, arithmetic, algebra, story problems, combinatorics, and basic probability theory. The book further exemplifies how mathematics can be connected to topics in popular culture, information technologies, and other such domains.
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...
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.