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Jakow Trachtenberg spent years in a Nazi concentration camp and to escape the horrors he found refuge in his mind developing these methods. Some of the. Trachtenberg Speed Math software based on Jakow Trachtenberg’s speed math algorithms developed during WW II while imprisoned in Nazi camps. The Trachtenberg Speed System of Basic Mathematics. $ Paperback. Books by Jakow Trachtenberg. Showing 1 Result Books: Advanced Search.

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The techniques themselves are rather ingenious. Once you have learned them, arithmetic becomes delightfully easy because you will be able to ‘read’ your numbers. The rest of this article presents some methods devised by Trachtenberg.

The children’s response to the new, easy way of doing arithmetic was immediate. The answer must be found one digit at a time starting at the least significant digit and moving left. Division in the Trachtenberg System is done much the same as in multiplication but with subtraction instead of addition. The feeling of accomplishment soon made them lose their trachrenberg traits.

Daily the average man and woman encounter situations that require the use of figures-credit transactions, the checking of monthly bills, bank-notes, stock market quotations, canasta and bridge and billiards scores, discount interest, lotteries, the counting of calories, foreign exchange, figuring the betting odds on a likely-looking steed in the fourth race, determining the chances of kakow a trachtenbegr or turning up a seven.

Thanks for telling us about the problem. The original book has seven full Chapters and is pages long. He was sent to Leipzig which had been heavily bombed and everything was in a state of chaos.

This book is not yet featured on Listopia. For rules 9, 8, 4, and 3 only the first digit is subtracted from The Trachtenberg system is based on procedures radically different from the trachtenbetg methods with which we are familiar. There was no food, no heat, and no facilities.


This speeds up calculation considerably. Very interesting, somewhat useful. He managed to escape to Yugoslavia where he and his wife, Countess Alice, lived like hunted animals, rarely venturing out during the day, making no friends or acquaintances. From Wikipedia, the free encyclopedia. As these youngsters became proficient in handling numbers, they achieved a poise and assurance that transformed their personalities and they began to spurt ahead in all their studies.

It also had a special recognition from Tsar Nicholas II. Jason rated it it was amazing May 18, It was the system-short and direct-which gave them their speed.

It trachtebberg developed by the Russian Jewish engineer Jakow Trachtenberg in order to keep his mind occupied while being in a Nazi concentration camp.

But Trachtenberg had no passport, nor papers of any kind. All of them were unhappy, badly adjusted youngsters. A high official, who knew of Trachtenberg’s work, sent him to a labour camp in Trieste. The hardships acted as a spur to his genius. He not only offers methods to compute the result quickly but also how to check if the result is correct. Hating brutality and violence, Trachtenberg, became their victim.

Trachtenberg was a dedicated pacifist. First developed during WW2, the Trachtenberg speed system makes possible high-speed arithmetical calcula tions with a remarkable degree of accuracy. He developed his system of mental arithmetic during his imprisonment.

The Trachtenberg Speed System of Basic Mathematics

During his long years in the living hell of the concentration camp, every spare moment was spent on his simplified system of mathematics, devising shortcuts for everything from multiplication to algebra. A year-long survey conducted by the Educational Testing Service of Princeton University revealed that arithmetic is one of the poorest-taught subjects in our schools and noted that there has been little or no progress in teaching arithmetic in this country in the past century; that the important developments that have taken place in mathematical science since the seventeenth century have not filtered down into our grade and high schools.


You’ll perform high speed mental calculations. In his dismal barracks, the rising tiers of hard bunks were so crowded it was impossible to lie down. 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.

Trachtenberg system – Wikipedia

These children used to failure, shy and withdrawn; or the other extreme, boastful and unmanageable. Alpha Centauri Software, Australia.

Stefan rated it really liked it Oct 26, Dec 24, Richard Craig rated it it was amazing Recommends it for: Shortly after Easter inTrachtenberg learned he was to be executed-the decree had come from above and was no longer speculation or foreboding.

Trachtenberg married a beautiful woman of the aristocracy. He was shipped in trachtenbegr cattle car to a concentration camp-one noted for its brutality.

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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. He had been in prison almost seven years. The Tsarist government gave him the responsibility of supervising the formation of a well-developed navy.