A Mind For Numbers Download Ebook PDF Epub Online

Author : Barbara A. Oakley
Publisher : TarcherPerigree
Release : 2014
Page : 316
Category : Business & Economics
ISBN 13 : 039916524X
Description :


An engineering professor who started out doing poorly in mathematical and technical subjects in school offers tools, tips and techniques to learning the creative and analytical thought processes that will lead to achievement in math and science. Original.


Author : Barbara Oakley, PhD
Publisher : Penguin
Release : 2014-07-31
Page : 336
Category : Self-Help
ISBN 13 : 1101621613
Description :


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.


Author : Barbara A. Oakley
Publisher : TarcherPerigee
Release : 2014
Page : 316
Category : Business & Economics
ISBN 13 : 039916524X
Description :


An engineering professor who started out doing poorly in mathematical and technical subjects in school offers tools, tips and techniques to learning the creative and analytical thought processes that will lead to achievement in math and science. Original.


Author : Barbara Oakley, PhD
Publisher : Penguin
Release : 2017-04-18
Page : 304
Category : Business & Economics
ISBN 13 : 0399184082
Description :


Mindshift reveals how we can overcome stereotypes and preconceived ideas about what is possible for us to learn and become. At a time when we are constantly being asked to retrain and reinvent ourselves to adapt to new technologies and changing industries, this book shows us how we can uncover and develop talents we didn’t realize we had—no matter what our age or background. We’re often told to “follow our passions.” But in Mindshift, Dr. Barbara Oakley shows us how we can broaden our passions. Drawing on the latest neuroscientific insights, Dr. Oakley shepherds us past simplistic ideas of “aptitude” and “ability,” which provide only a snapshot of who we are now—with little consideration about how we can change. Even seemingly “bad” traits, such as a poor memory, come with hidden advantages—like increased creativity. Profiling people from around the world who have overcome learning limitations of all kinds, Dr. Oakley shows us how we can turn perceived weaknesses, such as impostor syndrome and advancing age, into strengths. People may feel like they’re at a disadvantage if they pursue a new field later in life; yet those who change careers can be fertile cross-pollinators: They bring valuable insights from one discipline to another. Dr. Oakley teaches us strategies for learning that are backed by neuroscience so that we can realize the joy and benefits of a learning lifestyle. Mindshift takes us deep inside the world of how people change and grow. Our biggest stumbling blocks can be our own preconceptions, but with the right mental insights, we can tap into hidden potential and create new opportunities.


Author : Andreas Nieder
Publisher : MIT Press
Release : 2019-11-19
Page : 392
Category : Science
ISBN 13 : 0262042789
Description :


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 : Keith Devlin
Publisher : Basic Books
Release : 2001-05-17
Page : 352
Category : Science
ISBN 13 : 0786725087
Description :


Why is math so hard? And why, despite this difficulty, are some people so good at it? If there's some inborn capacity for mathematical thinking—which there must be, otherwise no one could do it —why can't we all do it well? Keith Devlin has answers to all these difficult questions, and in giving them shows us how mathematical ability evolved, why it's a part of language ability, and how we can make better use of this innate talent.He also offers a breathtakingly new theory of language development—that language evolved in two stages, and its main purpose was not communication—to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the emergence of true language. Why, then, can't we do math as well as we can speak? The answer, says Devlin, is that we can and do—we just don't recognize when we're using mathematical reasoning.


Author : Barbara Oakley, PhD
Publisher : Prometheus Books
Release : 2010-06-28
Page : 471
Category : Science
ISBN 13 : 1615920021
Description :


Have you ever heard of a person who left you wondering, "How could someone be so twisted? So evil?" Prompted by clues in her sister’s diary after her mysterious death, author Barbara Oakley takes the reader inside the head of the kinds of malevolent people you know, perhaps all too well, but could never understand. Starting with psychology as a frame of reference, Oakley uses cutting-edge images of the working brain to provide startling support for the idea that "evil" people act the way they do mainly as the result of a dysfunction. In fact, some deceitful, manipulative, and even sadistic behavior appears to be programmed genetically—suggesting that some people really are born to be bad. Oakley links the latest findings of molecular research to a wide array of seemingly unrelated historical and current phenomena, from the harems of the Ottomans and the chummy jokes of "Uncle Joe" Stalin, to the remarkable memory of investor Warren Buffet. Throughout, she never loses sight of the personal cost of evil genes as she unravels the mystery surrounding her sister’s enigmatic life—and death. Evil Genes is a tour-de-force of popular science writing that brilliantly melds scientific research with intriguing family history and puts both a human and scientific face to evil.


Author : Pooja K. Agarwal
Patrice M. Bain
Publisher : John Wiley & Sons
Release : 2019-05-13
Page : 352
Category : Education
ISBN 13 : 1119521831
Description :


Unleash powerful teaching and the science of learning in your classroom Powerful Teaching: Unleash the Science of Learning empowers educators to harness rigorous research on how students learn and unleash it in their classrooms. In this book, cognitive scientist Pooja K. Agarwal, Ph.D., and veteran K–12 teacher Patrice M. Bain, Ed.S., decipher cognitive science research and illustrate ways to successfully apply the science of learning in classrooms settings. This practical resource is filled with evidence-based strategies that are easily implemented in less than a minute—without additional prepping, grading, or funding! Research demonstrates that these powerful strategies raise student achievement by a letter grade or more; boost learning for diverse students, grade levels, and subject areas; and enhance students’ higher order learning and transfer of knowledge beyond the classroom. Drawing on a fifteen-year scientist-teacher collaboration, more than 100 years of research on learning, and rich experiences from educators in K–12 and higher education, the authors present highly accessible step-by-step guidance on how to transform teaching with four essential strategies: Retrieval practice, spacing, interleaving, and feedback-driven metacognition. With Powerful Teaching, you will: Develop a deep understanding of powerful teaching strategies based on the science of learning Gain insight from real-world examples of how evidence-based strategies are being implemented in a variety of academic settings Think critically about your current teaching practices from a research-based perspective Develop tools to share the science of learning with students and parents, ensuring success inside and outside the classroom Powerful Teaching: Unleash the Science of Learning is an indispensable resource for educators who want to take their instruction to the next level. Equipped with scientific knowledge and evidence-based tools, turn your teaching into powerful teaching and unleash student learning in your classroom.


Author : Trevor Johnson
Hugh Neill
Publisher : Teach Yourself
Release : 2010-06-25
Page : 336
Category : Mathematics
ISBN 13 : 1444130986
Description :


Are you looking for a clear, accessible guide to mathematics that can help you brush up your skills and rediscover the key concepts and techniques? Complete Mathematics provides an invaluable, step-by-step introduction to the subject. Packed full of worked examples and useful exercises, it will guide you through the essentials quickly and easily, giving you the knowledge you need to gain maths confidence. NOT GOT MUCH TIME? One, five and ten-minute introductions to key principles to get you started. AUTHOR INSIGHTS Lots of instant help with common problems and quick tips for success, based on the author's many years of experience. TEST YOURSELF Tests in the book and online to keep track of your progress. EXTEND YOUR KNOWLEDGE Extra online articles at www.teachyourself.com to give you a richer understanding of psychology. FIVE THINGS TO REMEMBER Quick refreshers to help you remember the key facts. TRY THIS Innovative exercises illustrate what you've learnt and how to use it.


Author : David J. Smith
Publisher :
Release : 2016-02-01
Page : 32
Category : Human beings
ISBN 13 : 9781925059557
Description :


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 : Silvanus Thompson
Publisher : Lulu.com
Release : 2018-09-12
Page : 278
Category : Reference
ISBN 13 : 0359077978
Description :


From the PROLOGUE. CONSIDERING how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. Some calculus-tricks are quite easy. Some are enormously difficult. The fools who write the textbooks of advanced mathematics -- and they are mostly clever fools -- seldom take the trouble to show you how easy the easy calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way. Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard. Master these thoroughly, and the rest will follow. What one fool can do, another can.


Author : Michael J. Rosen
Publisher : Millbrook Press ™
Release : 2016-08-01
Page : 32
Category : Juvenile Nonfiction
ISBN 13 : 1512420522
Description :


If you could hike to the moon, how long would it take? Just how many glasses of lemonade would you need to fill an Olympic-size swimming pool? If everyone on Earth owned exactly the same amount of land, how big would your yard be? And how much time would you spend mowing the lawn? Learn the math behind these questions in this hilarious romp through weight, volume, distance, and more. These 12 zany scenarios add up to a book full of fun!


Author : Guru Madhavan
Barbara Oakley
Publisher : Springer Science & Business Media
Release : 2012-10-19
Page : 244
Category : Science
ISBN 13 : 1461443490
Description :


Sustainability applies to everybody. But everybody applies it differently, by defining and shaping it differently—much as water is edged and shaped by its container. It is conceived in absolute terms but underpinned by a great diversity of relatively “green”—and sometimes contradictory—practices that can each make society only more or less sustainable. In Practicing Sustainability, chefs, poets, music directors, evangelical pastors, skyscraper architects, artists, filmmakers, as well as scientific leaders, entrepreneurs, educators, business executives, policy makers, and the contrarians, shed light on our understanding of sustainability and the role that each of us can play. Each contributor addresses what sustainability means, what is most appealing about the concept, and what they would like to change to improve the perception and practice of sustainability. What emerges from their essays is a wide spectrum of views that confirm an important insight: Sustainability is pursued in different ways not only due to different interpretations, but also because of varying incentives, trade-offs, and altruistic motives. Practicing and achieving sustainability starts with a willingness to look critically at the concept. It also means enabling rich and vigorous discussion based on pragmatism and common sense to determine a framework for best ideas and practices. With time and the much needed critical thinking, sustainable development will become a more integral part of our culture. By sharing experiences and crisp insights from today’s savants, Practicing Sustainability serves as a stepping stone to the future.


Author : Mark Hunter, CSP
Publisher : HarperCollins Leadership
Release : 2020-03-31
Page : 240
Category : Business & Economics
ISBN 13 : 1400215765
Description :


For salespeople tired of feeling stressed out, burned out, and bummed out that their customers don’t want to hear from them, A Mind for Sales is the guide they need to develop a success mindset and the habits required to breakthrough to a whole new level of sales performance. Everybody knows the world of sales can be tough, and it’s easy to get discouraged when the rejections start piling up, and your customers stop picking up the phone. The wrong thought patterns can start to set in, and pretty soon you aren’t making your quota and are looking through job listings on your lunch break, waiting for the axe to fall. Mark Hunter’s own start in sales was inauspicious, to say the least. He was fired from his first two stints before he began to learn the lessons that he covers in A Mind for Sales. He discovered that sales can be incredibly rewarding, such as when your customers call you for advice, thanking you for improving their business, and letting you know they just referred you to colleagues. The difference is simply developing mindset and momentum habits. The good news is that you can learn how to grow a mind for sales like Hunter’s: “Today, sales is my life. It has gone way past being a job. I do not even see sales as a profession anymore; it is a lifestyle, and one I am proud to be living. I cannot imagine doing anything else.” Let A Mind for Sales inspire and prepare you to form the new thoughts and habits you need to succeed and to realize the incredible rewards that a successful life in sales makes possible. Feel reenergized by renewed purpose and success in your sales role by following the success cycle approach outlined in the book. Receive practical strategies on how to change your mindset and succeed in sales. Learn the daily habits needed to maximize productivity and make hitting the ground running strategy #1. Gain real-world insights from Hunter’s vast experience as a highly successful sales professional and sales coach.


Author : Paul Glendinning
Publisher : Quercus Publishing
Release : 2012-03-01
Page : 416
Category : Mathematics
ISBN 13 : 0857386174
Description :


Both simple and accessible, Maths in Minutes is a visually led introduction to 200 key mathematical ideas. Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology.


Author : Keith Devlin
Publisher : Basic Books
Release : 2009-04-29
Page : 288
Category : Science
ISBN 13 : 0786736186
Description :


There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh Corgis -- and us -- is innate. But what innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. If we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math?" The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy," The Math Instinct is a real celebration of innate math sense and will provide even the most number-phobic readers with confidence in their own mathematical abilities.


Author : Gerald D. Mahan
Publisher : Springer Science & Business Media
Release : 2012-12-06
Page : 368
Category : Mathematics
ISBN 13 : 1461513154
Description :


This volume is a textbook for a year-long graduate level course in All research universities have applied mathematics for scientists and engineers. such a course, which could be taught in different departments, such as mathematics, physics, or engineering. I volunteered to teach this course when I realized that my own research students did not learn much in this course at my university. Then I learned that the available textbooks were too introduc tory. While teaching this course without an assigned text, I wrote up my lecture notes and gave them to the students. This textbook is a result of that endeavor. When I took this course many, many, years ago, the primary references were the two volumes of P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953). The present text returns the contents to a similar level, although the syllabus is quite different than given in this venerable pair of books.


Author : Gerard 't Hooft
Stefan Vandoren
Publisher : World Scientific
Release : 2014-05-12
Page : 232
Category : Science
ISBN 13 : 9814494933
Description :


With a Foreword writer Steven Weinberg In this richly illustrated book, Nobel Laureate Gerard 't Hooft and Theoretical Physicist Stefan Vandoren describe the enormous diversity of natural phenomena that take place at different time scales. In the tradition of the bestseller Powers of Ten, the authors zoom in and out in time, each step with a factor of ten. Starting from one second, time scales are enlarged until processes are reached that take much longer than the age of the universe. After the largest possible eternities, the reader is treated to the shortest and fastest phenomena known. Then the authors increase with powers of ten, until again the second is reached at the end of the book. At each time scale, interesting natural phenomena occur, spread over all scientific disciplines: orbital and rotation periods of planets and stars, decay times of elementary particles and atoms, biological rhythms and evolution processes, but also the different geological time scales. Contents:Part I:100 Seconds = 1 Second101 Seconds = 10 Seconds102 Seconds = 100 Seconds = 1 Minute, 40 Seconds103 Seconds = 1,000 Seconds = 16 Minutes, 40 Seconds104 Seconds = 10,000 Seconds = 2.78 Hours105 Seconds = 100,000 Seconds = 1.16 Days = 27.78 Hours106 Seconds = 1,000,000 = 1 Million Seconds = 11.57 Days = 1.65 Weeks106.41 Seconds = 2,592,000 Seconds = 30 Days ≈ 1 Month107 Seconds = 10 Million Seconds = 115.74 Days = 3.86 Months108 Seconds = 100 Million Seconds = 3.17 Years109 Seconds = 1 Billion Seconds = 31.7 Years1010 Seconds = 10 Billion Seconds = 317 Years1011 Seconds = 100 Billion Seconds = 3,171 Years1012 Seconds = 1 Trillion Seconds = 31,710 Years1013 Seconds = 10 Trillion Seconds = 317,098 Years1014 Seconds = 100 Trillion Seconds = 3.17 Million Years1015 Seconds = 1 Quadrillion Seconds = 31.7 Million Years1016 Seconds = 10 Quadrillion Seconds = 317 Million Years1017 Seconds = 100 Quadrillion Seconds = 3.17 Billion Years1018 Seconds = 1 Quintillion Seconds = 31.7 Billion years: The Large Timescales1021 seconds = 1 Sextillion Seconds = 3.17 × 1013 Years: The Large Timescales1028 Seconds = 3.17 × 1020 Years: The Large Timescales1032 Seconds: To Infinity and Beyond: The Dark EternitiesPart II:10-44 to 10-26 Seconds: Small Timescales10-25 Seconds10-24 Seconds = 1 Yoctosecond10-23 Seconds = 10 Yoctoseconds10-22 Seconds = 100 Yoctoseconds10-21 Seconds = 1 Zeptosecond10-20 Seconds = 10 Zeptoseconds10-19 Seconds = 100 Zeptoseconds10-18 Seconds = 1 Attosecond10-17 Seconds = 10 Attoseconds10-16 Seconds = 100 Attoseconds10-15 Seconds = 1 Femtosecond10-14 Seconds = 10 Femtoseconds10-13 Seconds = 100 Femtoseconds10-12 Seconds = 1 Picosecond10-11 Seconds = 10 Picoseconds10-10 Seconds = 100 Picoseconds10-9 Seconds = 1 Nanosecond10-8 Seconds = 10 Nanoseconds10-7 Seconds = 100 Nanoseconds10-6 Seconds = 1 Microsecond10-5 Seconds = 10 Microseconds10-4 Seconds = 100 Microseconds = 0.0001 Seconds10-3 Seconds = 1 Millisecond = 0.001 Seconds10-2 Seconds = 10 Milliseconds = 0.01 Seconds10-1 Seconds = 100 Milliseconds = 0.1 Seconds100 Seconds = 1 Second -->Readership: Science enthusiasts and students. Keywords:Time;natural Phenomena;Time Scales;Age of the Universe;Powers of TenReviews: “The somewhat facetious narrating style and the abundance of illustrations are so inviting and rather addictive once you picked up the book.” European Mathematical Society “Pleasingly accessible volume that will give pleasure to academics, students, connoisseurs of coffee-table books and even the people who compile questions for Trivial Pursuit … Can be enjoyed as a source of scientific stories and images, as an unusual perspective on history, as a popular account of modern physics, and so on. Underneath them all is a wealth of serious science that will give readers insights into abstract fundamental ideas via concrete realities … Every science teacher would benefit from reading Time in Powers of Ten, but I hope it will have an even wider reach.” Times Higher Education “The authors have compiled a refreshing mix of historical anecdotes and examples from music to sport and biology to astronomy to lighten up the heavier taste of particle physics and cosmology… It is both an enjoyable read and very pleasant to browse at leisure… It fully conveys the authors' amazement at — as Feynman put it — our fantastically marvellous universe.” Nature Physics “The authors introduce the reader to the diversity of nature in a novel way by describing typical and interesting phenomena that occur or have occurred on many different time scales. The time scales considered differ by powers of ten, as the title of the book says, from the shortest times of which we have knowledge to the longest. I am sure many readers will enjoy the book as I have.” Edward Witten, Fields Medalist “Time is an essential dimension of life. Indeed, its remarkable and awesome variation of scale shapes the natural world. This book by Gerard 't Hooft and Stefan Vandoren gives us an exposé of a wide range of natural phenomena and their associated time scales, spanning the very small, the very large, and the life events of our universe. The book is elegantly illustrated and should be an enjoyable read for anyone interested in a deeper understanding of the fourth dimension, time, and how it shapes our lives.” Ahmed Zewail, Nobel Laureate in Chemistry “Like the original Powers of Ten, it is a wonderful book for flipping through and thinking about puzzles and is a good introduction to basics like how to tell a quark from a lepton.” The Dispatch “The book reveals the extraordinary complexity of our universe — it is a fascinating journey.” CERN Courier “This is a fascinating coffee-table book ranging from the unimaginably huge to the unimaginably tiny.” Ultramicroscopy “You can read the book in any direction. Delving into the index takes you on a mystery tour of the time domain. Helpfully, all the major phenomena are gathered together on an illustrated time line. This book is definitely one for your reading list.” Physics Education


Author : Helena Rasiowa
Roman Sikorski
Publisher :
Release : 1963
Page : 519
Category : Metamathematics
ISBN 13 :
Description :



Author : Heike Wiese
Publisher : Cambridge University Press
Release : 2003-12-11
Page :
Category : Language Arts & Disciplines
ISBN 13 : 9781139438971
Description :


What constitutes our number concept? What makes it possible for us to employ numbers the way we do; which mental faculties contribute to our grasp of numbers? What do we share with other species, and what is specific to humans? How does our language faculty come into the picture? This 2003 book addresses these questions and discusses the relationship between numerical thinking and the human language faculty, providing psychological, linguistic and philosophical perspectives on number, its evolution and its development in children. Heike Wiese argues that language as a human faculty plays a crucial role in the emergence of systematic numerical thinking. She characterises number sequences as powerful and highly flexible mental tools that are unique to humans and shows that it is language that enables us to go beyond the perception of numerosity and to develop such mental tools.