JAKOW TRACHTENBERG PDF

Who was Jakow Trachtenberg? His story would probably make for a good movie. He was a Russian, born in Odessa on June 17, He graduated with high honors from the Mining Engineering Institute of St.

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Details if other :. Thanks for telling us about the problem. Return to Book Page. 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 Do high-speed, complicated arithmetic in your head using the Trachtenberg Speed System. 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.

Get A Copy. Paperback , pages. Published June 29th by Souvenir Press first published More Details Original Title.

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Showing Average rating 4. Rating details. More filters. Sort order. Jun 10, Michael rated it did not like it Shelves: nonfiction. I'm a math major in school. I'll be applying to graduate school for math in a few months. So, to help me prepare I bought a few books on See, I have a problem. I screw up arithmetic constantly. So I I'm a math major in school. So I thought maybe there were other algorithms out there that could improve my accuracy here, and I ordered some books.

Unfortunately, I don't believe this system is helpful. They are described in such a way that it may not be immediately apparent that that's what they are. For instance, instead of memorizing, say, the times table for 6, you memorize a rule for how to multiply a digit by 6. This really doesn't buy you anything. The methods usually involve less writing down intermediate steps, but all the same calculations are there. One very good thing mentioned in this book is the error checking method "casting out nines," here called the "digit sum method.

In fact, the book strongly implies the contrary. The foreword claims that students using this system faced off in a test of arithmetic against "mechanical brains" did people really call computers that??

Well, the mechanical brain sitting on my desk right now can do millions of arithmetic operations per second. Lastly, I have to complain about one more thing. This book strongly encourages a misconception that some people have about mathematics. I'm referring to the idea that arithmetic IS mathematics, and that being good at mathematics means being good at arithmetic.

Arithmetic is to mathematics as spelling is to poetry. View 2 comments. Apr 15, Sana rated it really liked it. I can't compare this to the other books I've read, but I can definitely say that I enjoyed every minute of this.

Scribbling down numbers, getting calculations right and not being dissapointed in math was fun. My dad showed it to me in primary school and I was entranced. Dec 24, Richard Craig rated it it was amazing Recommends it for: Everyone.

Shelves: science , text-book. If you or perhaps your child,has difficulty with mathematics,the Trachtenberg system is well worth a try. Trachtenberg developed a clever system of mental mathematics and arithmetic whilst he was being held as a prisoner in a Nazi concentration camp. Trachtenberg was an outspoken pacifist and openly condemned Hitler and the Nazi regime. The Trachtenberg method is not only speedy but simple.

There are no multiplication tables and no long division as we know it. To add long columns of numbers we need n If you or perhaps your child,has difficulty with mathematics,the Trachtenberg system is well worth a try.

To add long columns of numbers we need not count higher than eleven! In fact one needs only to count to eleven to master the entire system! It is quite simply brilliant. A book I would recommend to any one who has difficulty with maths or those who simply want to increase the speed of there mental calculations.

Every home school should own a copy. View 1 comment. Dec 30, Mainak Jas rated it it was amazing. I read this book long ago more than 10 years Yet, it is still crystal clear in my head as if it was yesterday. What I really love about this book is not just the methods but the fact that the author offers proofs in the book's appendices.

This is in sharp contrast to many books on Vedic mathematics which also dealt with speed mathematics, but the reader is left to trust the author without any proofs. The techniques themselves are rather ingenious.

He not only offers methods to compute the I read this book long ago more than 10 years He not only offers methods to compute the result quickly but also how to check if the result is correct. The pen and paper version of checksums in computing : This, combined with the backstory of all this being developed in concentration camps makes it such an inspiring read!

Jun 19, Smallllama rated it it was amazing. This man should have universities and cities and libraries named after him. Nonetheless, I would not give this book to a child. Its methods could greatly speed up the child but, until a person is sophisticated enough to understand what is going on behind the scenes and WHY these things work, learning to do math this way provides a weak foundation for learning higher concepts.

This system's weakness is that it makes math seem like mystical powers. Jul 16, Priyank rated it really liked it. Simplified techniques to solve the basic day-to-day mathematical problems. Very good book to read at an early stage to get a glimpse of the magic of arithmetic!!! Although most of the methods need some practice to get a hand-on, some methods are very natural, that we might be doing without consciously knowing about it.

Feb 25, Hilary rated it it was amazing Shelves: informational. Genius book! Trachtenberg devised a new system of teaching mathematics while incarcerated in a Nazi concentration camp -- true story! The system works! It is more efficient, effective, and accurate than anything else I have ever seen.

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Trachtenberg system

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The Trachtenberg Speed System of Basic Mathematics

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Jakow Trachtenberg

Math Dr. Math Home The Trachtenberg Speed System of Basic Mathematics This constitutes a system of performing high-speed multiplication, division, addition, subtraction, and square root, all in one's head. While it is impossible to capture the contents of this page book in one Web page, below you will find a part of the content of this system. Multiplication Finding the product of multiplicands of any length by small multipliers is accomplished using a set of rules. One works from right to left from digit to digit of the multiplicand, writing down the digits of the product. The rules use only addition, subtraction, doubling, and halving.

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