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A Mind For Numbers: How to Excel at Math and Science (Even If You Flunked Algebra) Kindle Edition
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.
- LanguageEnglish
- PublisherTarcherPerigee
- Publication dateJuly 31, 2014
- File size12942 KB
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Editorial Reviews
Review
—Adam Grant, New York Times-bestselling author of The Originals
“A good teacher will leave you educated. But a great teacher will leave you curious. Well, Barbara Oakley is a great teacher. Not only does she have a mind for numbers, she has a way with words, and she makes every one of them count.”
—Mike Rowe, creator and host of Discovery Channel’s "Dirty Jobs" and CEO of mikeroweWORKS
"Superb not only for those who are struggling or who are expert at math, but for readers who wish to think and comprehend more efficiently."
—Library Journal
“An ingeniously accessible introduction to the science of human cognition—along with practical advice on how to think better.”
—James Taranto, The Wall Street Journal
“In my book The Math Instinct, I described how we have known since the early 1990s that all ordinary people can do mathematics, and in The Math Gene, I explained why the capacity for mathematical thinking is both a natural consequence of evolution and yet requires effort to unleash it. What I did not do is show how to tap in to that innate ability. Professor Oakley does just that.”
—Keith Devlin, NPR Weekend Edition’s “Math Guy”
“A wonderful book! How do you come to love math and science, and how do you come to learn math and science? Read A Mind for Numbers. Barbara Oakley is the magician who will help you do both.”
—Francisco J. Ayala, University Professor and Donald Bren Professor of Biological Sciences, University of California, Irvine, and former President and Chairman of the Board, American Association for the Advancement of Science
“Being good at science and mathematics isn’t just something you are; it’s something you become. This users’ guide to the brain unmasks the mystery around achieving success in mathematics and science. I have seen far too many students opt out when they hit a rough patch. But now that learners have a handy guide for ‘knowing better’ they will also be able to ‘do better.’”
—Shirley Malcom, Head of Education and Human Resources Programs, American Association for the Advancement of Science
“A Mind for Numbers is an excellent book about how to approach mathematics, science, or any realm where problem solving plays a prominent role.”
—J. Michael Shaughnessy, Past President of the National Council of Teachers of Mathematics
“I have not been this excited about a book in a long time. Giving students deep knowledge on how to learn will lead to higher retention and student success in every field. It is a gift that will last them a lifetime.”
—Robert R Gamache, Ph.D., Associate Vice President, Academic Affairs, Student Affairs, and International Relations, University of Massachusetts, Lowell
”A Mind for Numbers helps put students in the driver’s seat—empowering them to learn more deeply and easily. This outstanding book is also a useful resource for instructional leaders. Given the urgent need for America to improve its science and math education so it can stay competitive, A Mind for Numbers is a welcome find.”
—Geoffrey Canada, President, Harlem Children's Zone
"It's easy to say 'work smarter, not harder,' but Barbara Oakley actually shows you how to do just that, in a fast-paced and accessible book that collects tips based on experience and sound science. In fact, I'm going to incorporate some of these tips into my own teaching."
—Glenn Harlan Reynolds, Beauchamp Brogan Distinguished Professor of Law, The University of Tennessee
“A Mind for Numbers is a splendid resource for how to approach mathematics learning and in fact learning in any area. Barbara Oakley’s authoritative guide is based on the latest research in the cognitive sciences, and provides a clear, concise, and entertaining roadmap for how to get the most out of learning. This is a must-read for anyone who has struggled with mathematics and anyone interested in enhancing their learning experience.”
—David C. Geary, Curators’ Professor of Psychological Sciences and Interdisciplinary Neuroscience, University of Missouri
“For students afraid of math and science and for those who love the subjects, this engaging book provides guidance in establishing study habits that take advantage of how the brain works.”
—Deborah Schifter, Principal Research Scientist, Science and Mathematics Programs, Education Development Center, Inc.
“A Mind for Numbers explains the process of learning in a fascinating and utterly memorable way. This book is a classic, not only for learners of all ages, but for teachers of all kinds.”
—Frances R. Spielhagen, Ph.D., Director, Center for Adolescent Research and Development, Mount Saint Mary College
About the Author
Barbara Oakley is a professor of engineering at Oakland University in Rochester, Michigan, and the Ramón y Cajal Distinguished Scholar of Global Digital Learning at McMaster University. Her research involves bioengineering with an emphasis on neuroscience and cognitive psychology. She teaches two massive open online courses, Learning How to Learn and Mindshift, alongside legendary neuroscientist Terrence Sejnowskij. She has received many awards for her teaching, including the American Society of Engineering Educations Chester F. Carlson Award for technical innovation in education and the National Science Foundation New Century Scholar Award.
Excerpt. © Reprinted by permission. All rights reserved.
Thomas Edison is one of the most prolific inventors in history, with over one thousand patents to his name. Nothing got in the way of his creativity. Even as his lab was burning to the ground in a horrific accidental fire, Edison was excitedly sketching up plans for a new lab, even bigger and better than before. How could Edison be so phenomenally creative? The answer, as you’ll see, relates to his unusual tricks for shifting his mode of thinking.
Shifting between the focused and diffuse modes
For most people, shifting from focused to diffuse mode happens naturally if you distract yourself and then allow a little time to pass. You can go for a walk, take a nap, or go to the gym. Or you can work on something that occupies other parts of your brain: listening to music, conjugating Spanish verbs, or cleaning your gerbil cage The key is to do something else until your brain is consciously free of any thought of the problem. Unless other tricks are brought into play, this generally takes several hours. You may say – I don’t have that kind of time. You do, however, if you simply switch your focus to other things you need to do, and mix in a little relaxing break time.
Creativity expert Howard Gruber has suggested that one of the three "B’s" usually seems to do the trick: the bed, the bath, or the bus One remarkably inventive chemist of the mid-1800s, Alexander Williamson, observed that a solitary walk was worth a week in the laboratory in helping him progress in his work.(Lucky for him there were no smartphones then.) Walking spurs creativity in many fields; a number of famous writers, for example, including Jane Austen, Carl Sandburg, and Charles Dickens, found inspiration during their frequent long walks.
Once you are distracted from the problem at hand, the diffuse mode has access and can begin pinging about in its big-picture way to settle on a solution. After your break, when you return to the problem at hand, you will often be surprised at how easily the solution pops into place. Even if the solution doesn’t appear, you will often be further along in your understanding. It can take a lot of hard, focused mode work beforehand, but the sudden, unexpected solution that emerges from the diffuse mode can make it feel almost like the "Ah-hah!" mode.
Product details
- ASIN : B00G3L19ZU
- Publisher : TarcherPerigee; 1st edition (July 31, 2014)
- Publication date : July 31, 2014
- Language : English
- File size : 12942 KB
- Text-to-Speech : Enabled
- Screen Reader : Supported
- Enhanced typesetting : Enabled
- X-Ray : Enabled
- Word Wise : Enabled
- Print length : 332 pages
- Page numbers source ISBN : 0593419057
- Best Sellers Rank: #29,215 in Kindle Store (See Top 100 in Kindle Store)
- Customer Reviews:
About the author

I work at Oakland University as a professor of engineering. I started studying engineering much later than many engineering students, because my original intention had been to become a linguist. I enlisted in the U.S. Army right after high school and spent a year studying Russian at the Defense Language Institute in Monterey California. The Army eventually sent me to the University of Washington, where I received my first degree'a B.A. in Slavic Languages and Literature. Eventually, I served four years in Germany as a Signal Officer, and rose to become a Captain.
After my Army commitment ended, I decided to leave the Army and study engineering so that I could better understand the communications equipment I had been working with. Five years later I received a second degree: a B.S. in Electrical Engineering. In the meantime, I worked several fishing seasons as a Russian translator on Soviet trawlers up in the Bering Sea. I wrote a book about that experience in 'Hair of the Dog: Tales from a Russian Trawler.' I also spent a season as the radio operator at the South Pole Station, where Philip and I met. (We were married as soon as we got 'off the ice,' in New Zealand.) With the B.S.E.E. degree in hand I settled down and spent three years working as a instrumentation and controls engineer at a laser research and development firm near Seattle.
We moved to the Detroit area in 1989. I worked for Ford briefly, and then began doing consulting and attending Oakland University part time while our children were small. I received a M.S. in Electrical and Computer Engineering in 1995, and a Ph.D. in Systems Engineering in 1998. I was hired after my graduation to continue on as a professor at Oakland University.
Since then, I've become interested in learning about people and places using an out-side-the box perspective--as you can tell from my books. I feel compelled to explore ideas and concepts in writing--thank goodness I have a family that's forgiving of my compulsion!
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Customers find the book provides useful information and insights into learning. They find it easy to understand and approachable, with a clear and logical process for learning. The positive attitude and engaging style make learning fun and enjoyable. Readers appreciate the practical advice on how to overcome procrastination and save time. They consider the book a great value for money and a fantastic learning tool.
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Customers find the book helpful. They say it provides good study and productivity tips, with well-researched principles and strategies. The book helps them see their learning blind spots and understand why they aren't getting the results they want. It supports common sense practices and habits that are not receiving the same level of attention.
"...but Barbara Oakley’s perspective, interviews, and recommendations are very useful for everybody who wants to be a SMART 21st Century lifelong learner..." Read more
"...The book has many different studies, books, etc referenced, so if you want to dive in deep, you have the perfect place to start...." Read more
"...The strategies and techniques taught in this book are very well researched, with plenty of references, and not only for STEM subjects, by the way...." Read more
"Excellent advise" Read more
Customers find the book insightful and helpful for learning strategies. They say it introduces the latest brain research and best ways to use it. The book helps them understand concepts better and improve their mental capacity. Readers appreciate the tips and motivational stories from people who overcame math struggles. Overall, they consider the book a valuable resource.
"...with others, dealing with procrastination, taking tests, dealing with anxiety, letting go of the need to be perfect in order to be open to insights..." Read more
"...The book has many different studies, books, etc referenced, so if you want to dive in deep, you have the perfect place to start...." Read more
"...dealing with procrastination, 2. learning strategies, 3. attitude (such as avoiding overconfidence and minimizing anxiety)...." Read more
"...It is easy to read & understand. It introduces the newest brain research related to learning and the best ways to use that knowledge to improve..." Read more
Customers find the book easy to understand. It explains in simple terms how the brain works with learning and memory. They find it approachable and user-friendly, providing a basic overview of the science of learning. The book provides simple techniques like the Pomodoro Timer and different ways to learn effectively.
"...It is peppered with stories and even pictures that bring lessons to life...." Read more
"...The information in Mind for Numbers is brilliantly simple, but it does take work...." Read more
"...It is easy to read & understand...." Read more
"...] Barbara Oakley does a great job explaining effective learning techniques and shares her own experience with struggling in math!" Read more
Customers find the book's learning style engaging and positive. It normalizes learning challenges and makes math and science learning fun. The book motivates readers to study math and science in an interesting and lively way.
"...The book was very readable and quite enjoyable. It is mainly organized into three parts: 1. dealing with procrastination, 2. learning strategies, 3...." Read more
"...me! The book also addresses procrastination & many great ways to trick yourself into getting around it - no, you do not have to use all your..." Read more
"...a user-friendly book that is not intimidating and instead is interesting and enjoyable to read." Read more
"...In other words, this book is about more than just learning math and science...." Read more
Customers find the book helpful for overcoming procrastination and learning new subjects effectively. They appreciate the practical advice on how to save time and effort. The book is described as a quick read with helpful hints and ideas.
"...related to working with teachers, studying with others, dealing with procrastination, taking tests, dealing with anxiety, letting go of the need to..." Read more
"...It is mainly organized into three parts: 1. dealing with procrastination, 2. learning strategies, 3...." Read more
"...this method, and it is staying with me! The book also addresses procrastination & many great ways to trick yourself into getting around it -..." Read more
"...addresses procrastination, reasons for procrastination, why procrastination is unavoidable, and tips to effectively address procrastination using..." Read more
Customers find the book a good value. It's free and helps them study effectively.
"...It's free and all you need to do is sign up...." Read more
"...It's worth the money if you don't already understand some basic neuroscience. Otherwise it's a bore & it doesn't teach any math theory...." Read more
"...The value in this book is well worth the price." Read more
"...a morbid fear of zombies, this book is warmly recommended and well worth paying for." Read more
Customers find the book helpful for improving memory. They mention it provides different ways of improving memory, including the recall technique and repetition. The book does a good job of paralleling the author's course on long-term memory. It's good for reminding them about productivity tips. Readers enjoy the repetitive content, which is useful for clarification.
"...The main concept I have taken from this book is the recall technique, where after you learn something, I try to recall it by explaining it to..." Read more
"...It uses spaced repetition, which is the best way to memorize (covered in the book)...." Read more
"...the next thing with more working memory space and become more deeply embedded in memory with time to marinate and interconnect with other concepts..." Read more
"...such as the pomodoro, focusing on process over product, and the importance of recall...." Read more
Customers find the book creative and innovative. They appreciate the author's approach and techniques articulated in a clear and concise way. The book is described as an incredible guide for design and study strategies in engineering. Readers love the author's style and technique.
"...knowledge about how our brains process things – both logically and creatively, from the details up AND from the ideas down...." Read more
"...my 8 year old daughter who struggles to read a clock, but excels in engineering and design as well as having a complex vocabulary..." Read more
"The book is very creative and innovative, however, it seems like a company's brochure full of "successful cases" and a lot of unnecessary comments...." Read more
"...Barbara Oakley's course on Coursera contain powerful information and ideas that can literally transform your life for the better...." Read more
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Don't be mislead by the title, Read this book! : )
Top reviews from the United States
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- Reviewed in the United States on October 29, 2017A Mind for Numbers is written for students of math and science, but Barbara Oakley’s perspective, interviews, and recommendations are very useful for everybody who wants to be a SMART 21st Century lifelong learner. It is a practical book that reflects the best knowledge about how our brains process things – both logically and creatively, from the details up AND from the ideas down. I strongly recommend it to anyone who wants to learn better – or who wants to help a scholar who wants to excel and LEARN in school.
Oakley uses good teaching/learning approaches in this book. It is peppered with stories and even pictures that bring lessons to life. The stories are from very successful scientists – many of whom struggled to learn or were even written off by their teachers. They are stories that say – “persist, be smart about how you learn, and you will succeed.” This, of course, is the learning mindset that is so crucial for discovery and living an unstoppable life.
Oakley also distributes insights about her core topics – building up and reinforcing the key ideas throughout the book. Ultimately, she concludes that 10 practices are critical (she calls them “Ten Rules of Good Studying.” They apply to lifelong learning as well as to learning for school – especially to information and processes you want to remember:
Use recall. Don’t just review what you want to remember. Actively pull your insights out of your own brain. This, of course, is a key practice in my Unstoppable You. Oakley offers many reinforcements of this important way to support learning
Test Yourself. This is something anyone can do about any topic you want to remember. For kids it’s flash cards, for adults it might be asking yourself what you know about a topic before a meeting or reading, and then doing it again afterwards.
Chunk information. Organizing ideas and facts into categories, pictures and diagrams, songs, and other mental files can help you remember and understand at a deeper level. Connecting ideas to what you know and to each other creates more neural connections and thus more ways to find what you need when you need it.
Space repetition. Oakley practices this by revisiting and enhancing these 10 rules throughout this book. The lesson is to work on something for a shorter period of time (30 minutes?) and then do something less demanding. When you return to the learning project later, you will be fresher and your automatic system (she calls it your “diffused processing mode”) will have done some undercover work to process your initial learning.
Alternate different problem-solving techniques. She talks about how this works in math – work on equations for a while, then on verbal problems, then do a test, etc. The point is, don’t get stuck on one way of learning something. Get a variety of perspectives – some big picture, some detailed. This “interleaving” is a pretty valuable approach for any topic.
Take breaks. When you are stuck or tired from focusing on solving a problem/learning, stop and do something that isn’t so taxing. Your automatic (diffused) processing will continue to work on the problem unconsciously and you will be able to have a new perspective when you come back to it.
Use explanatory questioning and simple analogies. Try explaining what you are learning in a simple way – preferably to someone else. Tell them what it is “like” (an example she gives if that the flow of electricity is like the flow of water). This more deeply engrains the knowledge in your brain and may get you some clarifying questions.
Focus. This is a very important and often broken rule. It is clear that your brain can’t work on more than one complex problem at a time. So, as many others suggest, turn off the phones, text messaging, loud music, and create a space where you can concentrate.
Eat your frogs first. That is, do the hardest things first when you have the energy.
Make a mental contrast. This is equivalent to the imagination quality presented in Unstoppable You: see where you want to be and compare it the where you are. Let this be motivating.
There are many specific tips and encouraging comments in this book. And for students, there is a lot of good help related to working with teachers, studying with others, dealing with procrastination, taking tests, dealing with anxiety, letting go of the need to be perfect in order to be open to insights and to correct errors in thinking, remembering facts and methods, and more.
Oakley is a very respected educator who came to the sciences by accident when she was in military service. We should be glad that she discovered math and science and became curious about how to be a master learner and teacher in these areas. We all benefit from her perspective, examples, and tips.
- Reviewed in the United States on January 12, 2024In A Mind for Numbers, Oakley discusses how even a hopeless case can develop a more analytical, creative, mathematical mind. The book has many different studies, books, etc referenced, so if you want to dive in deep, you have the perfect place to start.
Some things you'll learn include the concept of chunking and how to abstract those chunks so you can connect them with other things you already know, therefore raising your chances of not only remembering that information, but being able to use it in other contexts, too. You'll also learn about the two modes of thinking and how the focused type, as admirable as it may be, can keep you from solving problems.
You'll also learn good and bad ways of studying. For example, using an SRS system to test yourself is good. Rereading a book over and over again is bad. (Not that you can't reread a book if you enjoy it...)
The information in Mind for Numbers is brilliantly simple, but it does take work. Depending on how you work now, you may have to change a lot of things. In my opinion, it's worth it. I read Oakley's book much more slowly than I normally read books and have already put some things to use. They're effective, but they require effort. Perhaps one thing that makes them effective is the effort required.
I'd honestly recommend this book to everyone except maybe the most brilliant minds, who are probably already putting at least some of these techniques to use already.
- Reviewed in the United States on June 12, 2016This is a great book, but I would not recommend the kindle version.
The kindle version is not horrible, but it was quite uncomfortable for me to use. For the most part, because I felt that for this book I needed to be able to every so often flip back to a previous page, which is not as easy with the kindle as it is with a real book.
About the content, the book tries to give scientifically backed learning strategies and techniques, and does so quite well. The strategies and techniques taught in this book are very well researched, with plenty of references, and not only for STEM subjects, by the way. There are also a lot of anecdotes from other students and teachers throughout the entire book. Each chapter ends with a summary of key concepts, a small question set (without solutions - but none is really necessary or even possible, for questions that require a private answer), and a large reminder to "Pause and Recall" the material that was studied in the chapter - this was in my opinion the best thing in the book. If you do indeed get into the habit of pausing and recalling learned material, then you will most likely study much much better. It is also important, however, to check with the book that you have indeed recalled the material correctly, by looking either at the content of the chapters themselves or the summary.
The book was very readable and quite enjoyable. It is mainly organized into three parts: 1. dealing with procrastination, 2. learning strategies, 3. attitude (such as avoiding overconfidence and minimizing anxiety). The learning strategies can themselves be made into two distinct groups: one that deals with memorization tricks, and one that deals with understanding. Although the two groups are not mutually exclusive.
There is also a lot of emphasis on pointing out what strategies DO NOT work - such as rereading and highlighting.
At the end of the book you can find a quick recap the entire book. This recap is freely available as a PDF on the author's website, titled "10 rules of studying". Just google it, if you are interested.
Be wary that the book is quite verbose. For every idea presented in the text, there are a lot of background stories that are probably there to help anchor the idea with some real world situation, although for some they might be useless and even cumbersome.
Another thing about this book that might be viewed as a drawback, is the author's reliance on metaphors. The concepts of "diffuse" and "focused" thinking modes, for examples, are explained using the metaphor of a pinball machine. Another metaphor is that of vampires for the mechanisms of forgetting in the brain. The metaphors might be helpful, but they also feel awkward.
Overall, I felt the book was great, quite readable, and I am very happy to have read it. The main concept I have taken from this book is the recall technique, where after you learn something, I try to recall it by explaining it to yourself out loud. Throughout the entire book, you are actively reminded to use it.
- Reviewed in the United States on January 14, 2025Excellent advise
Top reviews from other countries
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renatoReviewed in Brazil on January 5, 20255.0 out of 5 stars Pensar bem
É um best seller, nova abordagem na maneira de aprender e encontrar soluções. Excelente livro.
Carlos Alberto Hurtado SánchezReviewed in Mexico on November 3, 20225.0 out of 5 stars Read it as soon as you can
This book covers really interesting concepts and ideas centered on learning. I would really advice to gift this book to very young people, they will definitely have an easier time learning whatever stuff they want and start earlier; sure, if they actually apply the concepts and ideas of the book.
krotReviewed in Canada on October 29, 20225.0 out of 5 stars So valuable to know if you really want to learn at any age and at any level
I was intrigued to know what this book was about having enrolled in a coursera course called Learning How to Learn which recommended this book. The author who was one of the two instructors was astonishingly good at communicating and has transferred these skills to this book. It is good reading for young students through any life long learners of any age group and very useful for learning any subject, not only math. I highly recommend this to all students, not only for struggling learners but also those who believe they are high performers in their education or their careers. Not only does it cover how to learn but how to handle test taking and any anxiety felt. Enjoy!
GaraadReviewed in Sweden on January 4, 20255.0 out of 5 stars New skills
It is very good book because I learned how can I learn something new for me.
MuichiroReviewed in India on September 24, 20245.0 out of 5 stars Vivid and expressed beautifully, Must read
The book is not only applicable to maths and science but also to other aspects of life. It includes tips on habits , procastination, memory, and above all learning. It's a must read for high schoolers and college buds. According to author it can be applied to professional levels too. The use of words in this book is beautiful and is written as a friend not as a sacred piece that has all formal words. Use of creativity is quite often. Not a must buy but if you want to read something related to learning . This is a great pick.
All the best for your read!
🌏🌏
The book is not only applicable to maths and science but also to other aspects of life. It includes tips on habits , procastination, memory, and above all learning. It's a must read for high schoolers and college buds. According to author it can be applied to professional levels too. The use of words in this book is beautiful and is written as a friend not as a sacred piece that has all formal words. Use of creativity is quite often. Not a must buy but if you want to read something related to learning . This is a great pick.5.0 out of 5 stars Vivid and expressed beautifully, Must read
Muichiro
Reviewed in India on September 24, 2024
All the best for your read!
🌏🌏
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