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In May 2014, Presh Talwalkar made a YouTube video about how to multiply numbers by drawing lines. By the end of the month, the video received over a million views.Multiplying by lines is an innovative visual method to multiply numbers. It works like magic and gets people excited about math.This book illustrates how you can multiply by lines, enumerates the precise steps in the process, and offers examples of how to use the method. There are also novel applications of how one diagram can solve additional problems and how multiplying by lines can be used for algebraic expressions. The book includes 35 exercises with solutions.
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
This must-have resource helps teachers successfully plan, organize, implement, and manage Guided Math Workshop. It provides practical strategies for structure and implementation to allow time for teachers to conduct small-group lessons and math conferences to target student needs. The tested resources and strategies for organization and management help to promote student independence and provide opportunities for ongoing practice of previously mastered concepts and skills. With sample workstations and mathematical tasks and problems for a variety of grade levels, this guide is sure to provide the information that teachers need to minimize preparation time and meet the needs of all students.
Do high-speed, complicated arithmetic in your head using the Trachtenberg Speed System. Ever find yourself struggling to check a bill or a payslip? With The Trachtenberg Speed System you can. Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy. Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers.
"A multimedia professional learning resource"--Cover.
Can you multiply 35x35 in your head? That is, can you square the number 35?There's a mental math trick so that you can easily square any number ending in 5. Here's how the trick works.Look at the first digit of 35, which is the number 3. We add one to that number, 4, and then multiply those two numbers together. So we have 3x4 = 12, and these are the leading digits of the answer.Now we just write 25 as the last two digits, so we get 1225. And that's it! We have calculated 35 squared is 1,225 in an amazingly simple way!Math does not have to be hard. The Best Mental Math Tricks is a collection of methods that can help you become a lightning calculator. You will learn how to solve daily problems like calculating percentages and figuring out which day your birthday is every year. Then you will learn how to square numbers, multiply numbers, divide numbers, and even solve complex problems like calculating the cube root of numbers in your head!Each method is explained in detail with numerous examples. Every method is mathematically justified with a formal proof. Each section also contains practice problems accompanied with complete solutions so you can try the method and check your work.
This book is a selection of the best articles from Game Theory Tuesdays, a column from the blog Mind Your Decisions. Articles from Game Theory Tuesdays have been referenced in The Freakonomics Blog, Yahoo Finance, and CNN.com.Game theory is the study of interactive decision making--that is, in situations where each person's action affects the outcome for the whole group. Game theory is a beautiful subject and this book will teach you how to understand the theory and practically implement solutions through a series of stories and the aid of over 30 illustrations.This book has two primary objectives.(1) To help you recognize strategic games, like the Prisoner's Dilemma, Bertrand Duopoly, Hotelling's Game, the Game of Chicken, and Mutually Assured Destruction.(2) To show you how to make better decisions and change the game, a powerful concept that can transform no-win situations into mutually beneficial outcomes. You'll learn how to negotiate better by making your threats credible, sometimes limiting options or burning bridges, and thinking about new ways to create better outcomes.As these goals indicate, game theory is about more than board games and gambling. It all seems so simple, and yet that definition belies the complexity of game theory. While it may only take seconds to get a sense of game theory, it takes a lifetime to appreciate and master it. This book will get you started.