Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks

Arthur Benjamin, Michael Shermer

Three Rivers Press | 2006 | 304 páginas | rar - epub | 9,96 Mb

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These simple math secrets and tricks will forever change how you look at the world of numbers.
Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.
Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school

Contents
Chapter 0 Quick Tricks:Easy (and Impressive) Calculations
Chapter 1 A Little Give and Take:Mental Addition and Subtraction
Chapter 2 Products of a Misspent Youth:Basic Multiplication
Chapter 3 New and Improved Products:Intermediate Multiplication
Chapter 4 Divide and Conquer:Mental Division
Chapter 5 Good Enough:The Art of “Guesstimation”
Chapter 6 Math for the Board:Pencil-and-Paper Math
Chapter 7 A Memorable Chapter:Memorizing Numbers
Chapter 8 The Tough Stuff Made Easy:Advanced Multiplication
Chapter 9 Presto-digit-ation:The Art of Mathematical Magic
Chapter ∞ Epilogue by Michael Shermer:How Math Helps Us Think AboutWeird Things

Doing simple math in your head

W.J. Howard

Chicago Review Press | 2001 | 140 páginas | rar - pdf |3,7 Mb

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Almost all adults suffer a little math anxiety, especially when it comes to everyday problems they think they should be able to figure out in their heads. Want to figure the six percent sales tax on a $34.50 item? A 15 percent tip for a $13.75 check? The carpeting needed for a 12½-by-17-foot room? No one learns how to do these mental calculations in school, where the emphasis is on paper-and-pencil techniques. With no math background required and no long list of rules to memorize, this book teaches average adults how to simplify their math problems, provides ample real-life practice problems and solutions, and gives grown-ups the necessary background in basic arithmetic to handle everyday problems quickly.

CONTENTS
Introduction 1
1 Making Things Easier 7
2 Problems and Solutions 25
3 Background: Basic Arithmetic 79
Glossary 119
Index 12

Speed Math for Kids: Helping Children Achieve Their Full Potential

Wrightbooks | 2012 | 272 páginas | epub | 3,7 Mb

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Popular Australian author and inspirational teacher, Bill Handley, has developed and, over the years, refined methods of teaching mathematics and learning strategies that have achieved amazing results. His best-selling book, Speed Mathematics convinced readers that people who excel at maths use better strategies and are not necessarily more intelligent.This book contains additional methods and applications based on the strategies taught in Speed Mathematics that make the principles clearer, encourage creative thought, and are just plain fun. The book was written for young people but people of any age will enjoy it. The book has notes throughout for parents and teachers.By following his innovative approach you will have kids playing with numbers, performing lightning quick calculations and, most of all, having fun!Bill claims: 'If you are good at maths, people think you are intelligent. People will treat you like you are a genius. Your teachers and your friends will treat you differently. You will even think differently about yourself'.The emphasis in this book is on playing with mathematics. Enjoy it. Show off what you learn and make mathematics your favourite subject.

CONTENTS
Preface
Introduction
Chapter 1: Multiplication: Getting Started
What is Multiplication?
The Speed Mathematics Method
Chapter 2: Using a Reference Number
Reference Numbers
Double Multiplication
Chapter 3: Numbers Above the Reference Number
Multiplying Numbers in The Teens
Multiplying Numbers Above 100
Solving Problems in Your Head
Double Multiplication
Chapter 4: Multiplying Above & Below the Reference Number
Numbers Above and Below
Chapter 5: Checking Your Answers
Substitute Numbers
Chapter 6: Multiplication Using Any Reference Number
Multiplication by factors
Multiplying numbers below 20
Multiplying numbers above and below 20
Using 50 as a reference number
Multiplying higher numbers
Doubling and halving numbers
Chapter 7: Multiplying Lower Numbers
Experimenting with reference numbers
Chapter 8: Multiplication by 11
Multiplying a two-digit number by 11
Multiplying larger numbers by 11
Multiplying by multiples of 11
Chapter 9: Multiplying Decimals
Multiplication of decimals
Chapter 10: Multiplication Using Two Reference Numbers
Easy multiplication by 9
Using fractions as multiples
Using factors expressed as division
Playing with two reference numbers
Using decimal fractions as reference numbers
Chapter 11: Addition
Adding from left to right
Breakdown of numbers
Checking addition by casting out nines
Chapter 12: Subtraction
Numbers around 100
Easy written subtraction
Subtraction from a power of 10
Checking subtraction by casting nines
Chapter 13: Simple Division
Simple division
Bonus: Shortcut for division by 9
Chapter 14: Long Division by Factor
What Are Factors?
Working with decimals
Chapter 15: Standard Long Division Made Easy
Chapter 16: Direct Long Division
Estimating answers
Reverse technique — rounding off upwards
Chapter 17: Checking Answers (Division)
Changing to multiplication
Bonus: Casting twos, tens and fives
Casting out nines with minus substitute numbers
Chapter 18: Fractions Made Easy
Working with fractions
Adding fractions
Subtracting fractions
Multiplying fractions
Dividing fractions
Changing vulgar fractions to decimals
Chapter 19: Direct Multiplication
Multiplication with a difference
Direct multiplication using negative numbers
Chapter 20: Putting it All into Practice
How Do I Remember All of This?
Advice For Geniuses
Afterword
Appendix A: Using the Methods in the Classroom
Appendix B: Working Through a Problem
Appendix C: Learn the 13, 14 and 15 Times Tables
Appendix D: Tests for Divisibility
Appendix E: Keeping Count
Appendix F: Plus and Minus Numbers
Appendix G: Percentages
Appendix H: Hints for Learning
Appendix I: Estimating
Appendix J: Squaring Numbers Ending in 5
Appendix K: Practice Sheets
Index

Outros livros do mesmo autor disponível neste blog:

Speed math for kids : the fast, fun way to do basic calculations por Bill Handley Idioma: Inglês   Editora: San Francisco, CA : Jossey-Bass, [2007]

Speed mathematics : secret skills for quick calculation por Bill Handley Idioma: Inglês   Editora: Hoboken, N.J. : Wiley, ©2003.

How to Calculate Quickly: Full Course in Speed Arithmetic

Henry Sticker


Dover Publications | 1955 | 185 páginas | Djvu | 2,4 Mb

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Many useful procedures explained and taught: two-column addition, left-to-right subtraction, direct multiplication by numbers greater than 12, mental division of large numbers, more. Also numerous helpful short cuts. More than 8,000 problems, with solutions.

Mathemagics: How to Look Like a Genius Without

Arthur Benjamin

Lowell House | 1993 | 218 páginas |

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Using proven techniques, Mathemagics presents the secrets of lightning calculation. It shows how to add, subtract, multiply, and divide faster than is possible with a calculator or pencil and paper and helps readers conquer their nervousness about math.

Turn on the human calculator in you!

Scott Flansburg

Media Arts International | 1991 | 34 páginas | PDF

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Is math really that important in our day to day life? After all we do have calculators to do math for us, right? Having calculators, small enough to carry in our shirt pocket, is not a good reason to discount the advantage of knowing how to do math in our head on a daily basis. We have become lazy in our daily routine as new inventions have been developed.

Speed Mathematics: Secret Skills for Quick Calculation

Bill Handley

Wiley | 2003 | 272 páginas | PDF | 33,4 MB

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Using this book will improve your understanding of math and have you performing like a genius!

People who excel at mathematics use better strategies than the rest of us; they are not necessarily more intelligent.

Speed Mathematics teaches simple methods that will enable you to make lightning calculations in your head–including multiplication, division, addition, and subtraction, as well as working with fractions, squaring numbers, and extracting square and cube roots. Here’s just one example of this revolutionary approach to basic mathematics:

96 x 97 =
Subtract each number from 100.

96 x 97 =
4 3

Subtract diagonally. Either 96—3 or 97— 4.
The result is the first part of the answer.

96 x 97 = 93
4 3

Multiply the numbers in the circles. 4 x 3 = 12.
This is the second part of the answer.

96 x 97 = 9312
4 3

It’s that easy!

Calculator's Cunning: The Art of Quick Reckoning

Karl Menninger

Basic Books | 1964 | djvu | 1,53 Mb

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Descrição: An arithmetical trick is a device for solving a problem more easily and surprisingly than by ordinary methods. While one person will see behind it the broad and wonderfully intricate world of numbers, another will be satisfied by his delight in the trick itself. This book will serve both kinds of student. It will teach the beginner to master a series of useful methods and above all to look at the numbers before doing any calculation, in order to use the tricks appropriate to them; for the advanced student, and for anyone who enjoys numbers, it will afford many pleasant glimpses into the land of numbers, and stimulate him to a voyage of discovery.

Numbers have a certain magic. It is no accident that their wonderful properties have grown into the theory of numbers, 'the queen of mathematics'. Those relations which the schoolboy knows as arithmetical tricks belong to elementary number-theory.

Speed System of Basic Mathematics

Jakow Trachtenberg

Souvenir Press Ltd | 1989 | 272 páginas | PDF

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The complete system of the Trachtenberg method of mathematics which makes possible high-speed arithmetical calculations with a remarkable degree of accuracy. This method is not only speedy but simple. Once one has mastered the rules, lightning calculation is as easy as reading a story. It looks like magic, but the rules are based on sound logic.

Speed Math for Kids: The Fast, Fun Way To Do Basic Calculations

Bill Handley
Jossey-Bass | 2007 | 256 páginas | PDF

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Speed Math for Kids is your guide to becoming a math genius--even if you have struggled with math in the past. Believe it or not, you have the ability to perform lightning quick calculations that will astonish your friends, family, and teachers. You'll be able to master your multiplication tables in minutes, and learn basic number facts while doing it. While the other kids in class are still writing down the problems, you can be calling out the answers.

Speed Math for Kids is all about playing with mathematics. This fun-filled book will teach you:
* How to multiply and divide large numbers in your head
* What you can do to make addition and subtraction easy
* Tricks for understanding fractions and decimals
* How to quickly check answers every time you make a calculation
* And much more

If you're looking for a foolproof way to do multiplication, division, factoring estimating, and more, Speed Math for Kids is the book for you. With enough practice you'll go straight to the top of the class!

Contents
Preface v
Introduction 1
1 Multiplication: Getting Started 4
2 Using a Reference Number 13
3 Numbers Above the Reference Number 21
4 Multiplying Above & Below
the Reference Number 29
5 Checking Your Answers 34
6 Multiplication Using Any Reference Number 43
7 Multiplying Lower Numbers 59
8 Multiplication by 11 69
9 Multiplying Decimals 77
10 Multiplication Using Two Reference Numbers 87
11 Addition 106
12 Subtraction 116
13 Simple Division 130
14 Long Division by Factors 141
15 Standard Long Division Made Easy 149
16 Direct Long Division 157
17 Checking Answers (Division) 166
18 Fractions Made Easy 173
19 Direct Multiplication 185
20 Putting It All into Practice 195
Afterword 199
Appendix A Using the Methods in the Classroom 203
Appendix B Working Th rough a Problem 207
Appendix C Learn the 13, 14 and 15 Times Tables 209
Appendix D Tests for Divisibility 211
Appendix E Keeping Count 215
Appendix F Plus and Minus Numbers 217
Appendix G Percentages 219
Appendix H Hints for Learning 223
Appendix I Estimating 225
Appendix J Squaring Numbers Ending in 5 227
Appendix K Practice Sheets 231
Index 239