Build a Mathematical Mind - Even If You Think You Can't Have One: Become a Pattern Detective. Boost Your Critical and Logical Thinking Skills.
4.5/5
()
Mathematics
Problem-Solving
Learning
Mathematics Education
Algebra
Power of Knowledge
Power of Visualization
Overcoming Obstacles
Ancient Wisdom
Transformative Journey
Misunderstood Genius
Power of Observation
Power of Understanding
Overcoming Challenges
Power of Creativity
Mathematical Thinking
Visualization
Critical Thinking
Number Sense
Algorithms
About this ebook
Would you like to be a proficient mathematician… without using numbers?
There is so much more to math than geometry and calculus! It is present in almost every life aspect, from improving your communication skills to how to fit your luggage into your car.
Did you always hate math because you couldn’t understand complex formulas?
Don’t let a few equations or a bad teacher deter you from building a mathematical mind. Learn the best cognitive tools to revolutionize the way you make sense of problems and persevere in solving them.
Boost your critical thinking and analytical skills.
Mathematical thinking involves analyzing data, patterns, and relationships and evaluating information and arguments, which can help improve critical thinking skills.
Adopt a mathematician’s mindset. Tinker, invent, make educated guesses, describe with precision, and use probability to your advantage.
Build a Mathematical Mind – Even If You Think You Can’t Have One is an action manual that will help you sharpen your everyday life skills such as:
- improving your logic,
- understanding how probability works,
- and making estimations.
This is a research-backed math manual you'll love to read. It contains examples for faster learning and greater everyday impact.
Hone your problem-solving skills and make better decisions.
Albert Rutherford is an internationally bestselling author whose writing derives from various sources, such as research, coaching, academic, and real-life experience.
Improve your communication skills.
Mathematical thinking involves clearly and concisely explaining ideas and solutions, which can improve how you communicate. With enhanced precision, you will have a keen attention to detail and the ability to be accurate in your thinking and talking.
Increase your confidence.
Developing mathematical thinking skills can increase your confidence and self-esteem, being able to solve difficult problems and understand complex ideas.
If you ever felt ashamed for not getting math, this is the time to heal that wound. Give math another chance. Let it make you unstoppable!
Read more from Albert Rutherford
How to Think Critically: Question, Analyze, Reflect, Debate. Rating: 4 out of 5 stars4/5The Systems Thinker: Essential Thinking Skills For Solving Problems, Managing Chaos, Rating: 4 out of 5 stars4/5The Systems Thinker - Mental Models: Take Control Over Your Thought Patterns. Rating: 0 out of 5 stars0 ratingsTools of Systems Thinkers: Learn Advanced Deduction, Decision-Making, and Problem-Solving Skills with Mental Models and System Maps. Rating: 0 out of 5 stars0 ratingsThe Art of Thinking Critically: Ask Great Questions, Spot Illogical Reasoning, Rating: 4 out of 5 stars4/5
Related to Build a Mathematical Mind - Even If You Think You Can't Have One
Related ebooks
Build a Mathematical Mind - Even If You Think You Can't Have One Rating: 0 out of 5 stars0 ratingsMath Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Beautiful, Simple, Exact, Crazy: Mathematics in the Real World Rating: 5 out of 5 stars5/5Maths in Bite-sized Chunks Rating: 5 out of 5 stars5/5Painless Mental Math: Quick, Easy, and Useful Ways to Become a Human Calculator (Even If You Suck At Math) Rating: 4 out of 5 stars4/5The Secrets of Mental Math (Transcript) Rating: 4 out of 5 stars4/5Mind-Blowing Math: Mysteries Revealed Rating: 0 out of 5 stars0 ratingsHow to Solve It: A New Aspect of Mathematical Method Rating: 4 out of 5 stars4/5Is God a Mathematician? Rating: 4 out of 5 stars4/5How to Solve Mathematical Problems Rating: 4 out of 5 stars4/5The Joy Of X: A Guided Tour of Math, from One to Infinity Rating: 5 out of 5 stars5/5Prelude to Mathematics Rating: 4 out of 5 stars4/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5Math for Life: Crucial Ideas You Didn't Learn in School Rating: 4 out of 5 stars4/5The Universe and the Teacup: The Mathematics of Truth and Beauty Rating: 0 out of 5 stars0 ratingsMathematical Fallacies and Paradoxes Rating: 3 out of 5 stars3/5Math Proofs Demystified Rating: 5 out of 5 stars5/5It's a Numberful World: How Math Is Hiding Everywhere Rating: 0 out of 5 stars0 ratingsMathematician's Delight Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Images of Mathematics Viewed Through Number, Algebra, and Geometry Rating: 0 out of 5 stars0 ratingsAlgebra - The Very Basics Rating: 5 out of 5 stars5/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Basic Math Notes Rating: 5 out of 5 stars5/5How to Calculate Quickly: Full Course in Speed Arithmetic Rating: 4 out of 5 stars4/5Quadratic Equation: easy way to learn equation Rating: 0 out of 5 stars0 ratings
Teaching Mathematics For You
Fluent in 3 Months: How Anyone at Any Age Can Learn to Speak Any Language from Anywhere in the World Rating: 3 out of 5 stars3/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Quantum Physics: A Beginners Guide to How Quantum Physics Affects Everything around Us Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Algebra II For Dummies Rating: 3 out of 5 stars3/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Geometry For Dummies Rating: 4 out of 5 stars4/5Math Magic: How To Master Everyday Math Problems Rating: 3 out of 5 stars3/5Trigonometry For Dummies Rating: 0 out of 5 stars0 ratingsMath Refresher for Adults: The Perfect Solution Rating: 0 out of 5 stars0 ratingsSneaky Math: A Graphic Primer with Projects Rating: 0 out of 5 stars0 ratingsPre-Calculus Workbook For Dummies Rating: 5 out of 5 stars5/5Algebra I For Dummies Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics Rating: 3 out of 5 stars3/5Calculus For Dummies Rating: 4 out of 5 stars4/5Images of Mathematics Viewed Through Number, Algebra, and Geometry Rating: 0 out of 5 stars0 ratingsGeometry Basics, Grades 5 - 8 Rating: 5 out of 5 stars5/5Pre-Algebra, Grades 5 - 12 Rating: 5 out of 5 stars5/5Common Core Connections Math, Grade K Rating: 3 out of 5 stars3/5Business Math For Dummies Rating: 0 out of 5 stars0 ratingsThe Math Teacher's Toolbox: Hundreds of Practical Ideas to Support Your Students Rating: 0 out of 5 stars0 ratingsLinear Algebra For Dummies Rating: 3 out of 5 stars3/5Limitless Mind: Learn, Lead, and Live Without Barriers Rating: 4 out of 5 stars4/5Algebra II Workbook For Dummies Rating: 4 out of 5 stars4/5Common Core Math Workouts, Grade 6 Rating: 5 out of 5 stars5/5
Reviews for Build a Mathematical Mind - Even If You Think You Can't Have One
4 ratings0 reviews
Book preview
Build a Mathematical Mind - Even If You Think You Can't Have One - Albert Rutherford
I have a gift for you...
THANK YOU FOR CHOOSING my book, Practice Game Theory! I would like to show my appreciation for the trust you gave me by giving The Art of Asking Powerful Questions – in the World of Systems to you!
In this booklet you will learn:
-what bounded rationality is,
-how to distinguish event- and behavior-level analysis,
-how to find optimal leverage points,
-and how to ask powerful questions using a systems thinking perspective.
Logo Description automatically generatedCLICK HERE FOR YOUR FREE GIFT: The Art of Asking Powerful Questions in the World of Systems
Table of Contents
I Have A Gift For You...
Table Of Contents
Chapter 1: Mathematical Habits Of Mind
Chapter 2: Become A Pattern Detective
Chapter 3: Probability And Experimentation
Chapter 4: Describing And Speaking In Mathematical Language
Chapter 5: Tinkering: Breaking It Down And Putting It Back Together
Chapter 6: Inventing: Understanding Algorithms And Using Them
Chapter 7: Visualizing: Externalizing The Internal
Chapter 8: Guessing: Making Estimations
Chapter 9: How Mathematics Changed The World
Chapter 10: Final Words
Before You Go...
About The Author
Reference:
Endnotes
CHAPTER 1: Mathematical Habits of Mind
Ask any adult how they feel about math, and, aside from a few math enthusiasts, you’ll get a lot of lukewarm responses. People may say, Ugh, I hated math,
or I was never good at math! I was much better at reading [or art, or music, or writing, or sports...],
or "It was just so boring in high school. My friend and I passed notes the whole time. We have all sorts of reasons for disliking math: maybe we were taught in a
drill and kill" method that bored us to tears; maybe we tried to fit in with a certain crowd in high school by convincing ourselves that we didn’t like math (think of Lyndsay Lohan’s character in Mean Girls ). Maybe we even liked math until we got to that infamous train problem in Algebra class. Most of us probably think we aren’t very good at math and may have started to believe we weren’t math people
sometime in grade school.
But what is a math person? What if I told you that you could be a math person, too? In fact, anyone can be a math person. This chapter will convince you that you can and should learn to think like a mathematician. The rest of the book will show you how.
Many of us have an idea in our heads of what a math person
is. Maybe it was the kid in class who raised his or her hand the fastest or the one who always went up to the board to solve proofs in Geometry. Maybe it was the middle-school mathlete or the student who took college-level courses in high school. Sure, one or two of these people may have solved previously unsolved problems, amazing and stunning the world's math community. The rest of them most likely didn’t revolutionize the field of mathematics but just enjoyed math during their school years and maybe beyond.
So why did they enjoy math? What habits of mind brought them success in mathematics?
These people knew how to think like a mathematician. Maybe they were born with a predilection towards logical thought, maybe they were trained by talented teachers, or maybe they just enjoyed mathematics enough when they were young they trained their own brains. The point is they learned how to think like a mathematician...and so can you.
Despite what you may have thought in high school, mathematicians have a lot in common with artists, musicians, and other creative thinkers. Mathematics is a creative field that involves visualizing, finding patterns, asking what if?
and experimenting. What you learned in school – memorizing your times tables or following steps to solve an algebra problem – has little to do with the creative thinking mathematicians do. Many mathematics educators have argued for reforming the way math is taught in school because it has so little to do with what math actually is.
In 2009, math teacher Paul Lockhart wrote A Mathematician’s Lament, a short book that has become a foundational piece for many seeking to reform mathematics education. In his Lament, Lockhart argues mathematics is an art form akin to music or painting, but it hasn’t been recognized as such. He faults the educational system, writing, In fact, if I had to design a mechanism for the express purpose of destroying a child’s natural curiosity and love of pattern-making, I couldn’t possibly do as good a job as is currently being done— I simply wouldn’t have the imagination to come up with the senseless, soul-crushing ideas that constitute contemporary mathematics education.
[i]
Lockhart’s Lament likens math education to learning to memorize the rules of music in school but never getting to hear music until later in life. If we think of the math we learned in grade school as a series of memorizations without getting to experience the art and creativity of doing mathematics, it makes us rethink who a math person is and who isn’t. So many of us who were turned off from math at an early age would have loved it had we seen what it truly is. How many people do you know who say "Music? Eh, it’s just so boring. I’m not a music person."
This is the secret that mathematicians know: math is an art. They know they process mathematics as a musician processes a composition or an artist visualizes a masterpiece. Paul McCartney claims the melody for Yesterday,
one of the Beatles’ most beautiful songs, came to him in a dream:
‘I woke up with a lovely tune in my head,’ he told author Barry Miles for the biography Many Years From Now, which was published in 1998. ‘I thought, ‘That’s great, I wonder what that is?’ There was an upright piano next to me, to the right of the bed by the window. I got out of bed, sat at the piano, found G, found F sharp minor 7th – and that leads you through then to B to E minor, and finally back to E. It all leads forward logically. I liked the melody a lot but because I’d dreamed it. I couldn’t believe I’d written it.’[ii]
Similarly, some mathematicians have claimed that critical mathematics discoveries