Street-Fighting Mathematics

Street-Fighting Mathematics

Author: Sanjoy Mahajan

Publisher: MIT Press

Published: 2010-03-05

Total Pages: 152

ISBN-13: 0262265591

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An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.


Mastering Essential Math Skills

Mastering Essential Math Skills

Author: Richard W. Fisher

Publisher:

Published: 2003-01-15

Total Pages: 0

ISBN-13: 9780966621112

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Provides structure and guidance to the teacher by means of speed drills, review exercises, teacher tips, word problems and new material for each day.


Math for Grownups

Math for Grownups

Author: Laura Laing

Publisher: Simon and Schuster

Published: 2011-06-18

Total Pages: 283

ISBN-13: 1440526893

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Ever wish you'd paid more attention in math class? From third grade to senior year of high school, it went in one ear and out the other, didn't it? But now you're staring at the new washer and dryer, trying to figure out the percentage of sales tax on the purchase price. You multiply something by something, right? Or you're scratching your head, wondering how to compute the odds that your football team will take next Sunday's game. You're pretty sure that involved ratios. The problem is, you can't quite remember. Here you get an adult refresher and real-life context—with examples ranging from how to figure out how many shingles it takes to re-roof the garage to the formula for resizing Mom's tomato sauce recipe for your entire family. Forget higher calculus—you just need an open mind. And with this practical guide, math can stop being scary and start being useful.


Mastering Basic Skills® Fourth Grade Workbook

Mastering Basic Skills® Fourth Grade Workbook

Author:

Publisher: Carson-Dellosa Publishing

Published: 2014-01-06

Total Pages: 162

ISBN-13: 1483809099

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Mastering Basic Skills(R) Fourth Grade includes comprehensive content essential to fourth graders. Topics include reading comprehension, phonics, language arts, grammar, writing, analogies, and math. The Mastering Basic Skills(R) series includes grade-specific math and language arts activities as well as reading lists, skills checklists, awards, and mini books. The comprehensive content and extra features increase the value of this series making it an appealing choice to parents looking for extra at-home practice for their child.


The Trachtenberg Speed System of Basic Mathematics

The Trachtenberg Speed System of Basic Mathematics

Author: Jakow Trachtenberg

Publisher: Souvenir Press

Published: 2011-03-01

Total Pages: 174

ISBN-13: 0285639951

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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.


Math Experiment - 300 Word Problems for Second Grade Contests

Math Experiment - 300 Word Problems for Second Grade Contests

Author: Udar Nivol

Publisher: Createspace Independent Publishing Platform

Published: 2013-10-02

Total Pages: 172

ISBN-13: 9781492793380

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-------------------------***New, corrected edition***Thanks everyone who sent me emails and pointed to the typos in the book! They are all corrected now.------------------------- This book has everything a parent or a teacher wound need to have to instill the love for Math in a second grader's heart. It was written by a parent of a second grader, with a long and lasting passion for math, who started to go to math contests when he was at his son's age. He wanted to share with his son everything he knew and loved about Math. This book is also an experiment, a documented approach to Math teaching that goes beyond curriculum, and inspire the imagination and the creativity. The kids can learn about famous Math prodigies like Srinivasa Ramanujan, a self-taught mathematician, or Terence Tao, the youngest participant to date in the International Math Olympiad. They can also learn about astronauts whose determination and math knowledge helped them to survive in critical missions. And they can also solve the hundreds of problems in the book, specially tailored for Math contests for second grade. The problems are arranged in 4 levels of difficulty that can take the child to very high performances in Math. This is an ongoing experiment, so please join us in our journey and see how far along we can go. Drop us a line of encouragement and feel free to praise the kids when the rich milestones. They will appreciate and feel obliged. You can find us at www.facebook.com/mathexperiment.In short, this is what the book is about: 300 word problems for high achievers Tested methods for successfully running a Math Club for 2nd graders Information about math contests and math personalities across the world 4 levels of difficulty that can gradually bring the students to very high math performances Full solutions for all the problems, not just answers


Problem-Solving Strategies

Problem-Solving Strategies

Author: Arthur Engel

Publisher: Springer Science & Business Media

Published: 2008-01-19

Total Pages: 404

ISBN-13: 0387226419

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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.