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The Trachtenberg Speed System of Basic Mathematics Hardcover – 4 Feb 1982


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Product details

  • Hardcover: 272 pages
  • Publisher: Praeger; New Ed edition (4 Feb 1982)
  • Language: English
  • ISBN-10: 0313232008
  • ISBN-13: 978-0313232008
  • Product Dimensions: 2.5 x 14.6 x 22.2 cm
  • Average Customer Review: 4.6 out of 5 stars  See all reviews (47 customer reviews)
  • Amazon Bestsellers Rank: 2,220,887 in Books (See Top 100 in Books)

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Product Description

Review

I tried an extract on a well-known woman journalist, very capable in her own field, but barely able to count. The result was magical. --'Sunday Telegraph'

Teachers should read this book and consider deeply the implications of a new technique which could well revolutionise the teaching of mathematics. --'Teachers' World' --This text refers to the Paperback edition.

About the Author

Jakow Trachtenberg (1888-1953) developed this system during the seven years he spent in Nazi concentration camps during World War II. He had been born in Odessa, Russia on June 17, 1888 and was recognized as a genius at an early age. When the First World War broke out, he was a Pacifist, opposed to the war, and wrote published articles attacking the war. When the Czar of Russia was overthrown, he had to flee to Germany. When Hitler came to power, he did the same thing again, writing magazine articles and books attacking the policies of the Soviet and German governments. His books included “Das Land das blutet. Bilder aus dem heutigen Russland” meaning “The country bleeds. Pictures from today's Russia” in 1928. In 1931, he wrote, “Das Problem der UdSSR”. In 1933, he wrote “Die Greuelpropaganda ist eine Lügenpropaganda sagen die deutschen Juden selbst” meaning “Atrocity propaganda is a Lügenpropaganda says the German Jews themselves” which stated “Some Jewish circles in Germany, who favored German nationalism, felt that the anti-Nazi reactions outside Germany had been exaggerated or distorted. They were afraid, that anti-Nazism would endanger the position of the Jews”. “Die Greuelpropaganda ist eine Lügenpropaganda sagen die deutschen Juden selbst. Atrocity Propaganda is based on Lies say the Jews of Germany themselves. La propagande d'atrocites n'est que mensonges declarent les juifs allemands eux-memes.” Nachdruck der Jakow Trachtenberg Verlag Ausgabe von 1933. Here he is defending the German government from attacks by Jews outside of Germany, calling it “Atrocity Propaganda”. This may explain why he did not flee to the United States as did so many Jewish intellectuals during this period. The immediate prewar years found Professor Trachtenberg living in Vienna and Yugoslavia - almost always as a fugitive. In Vienna in 1936 he wrote “Der russische Bauer heult unter dem Bolschewismus” meaning “The Russian farmer howls under the Bolshevism”. The police state finally caught up with him, and he spent a total of seven years in various concentration camps. It was during these years that Professor Trachtenberg developed his system of speed mathematics. Most of this was done without pencil and paper, since none were available. Thus the majority of the steps are performed mentally. --This text refers to the Paperback edition.

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Customer Reviews

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Most Helpful Customer Reviews

38 of 38 people found the following review helpful By Reviewer1 on 22 Nov 2005
Format: Paperback
I have an older edition of this book, and have ordered this edition for a friend. This is an incredible book, you can learn very simple techniques in minutes, that will amaze your friends and family with the speed and ease at which you can do math. You can write the answer down without any calculations as the work is done very simply in your head. This is a book I delve into from time to time, in an effort to really acquaint myself with the techniques. The only prior math’s knowledge you need is the ability to count to 10! Would revolutionise maths if we taught this in schools!
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18 of 18 people found the following review helpful By A Customer on 1 Sep 2000
Format: Paperback
A good book for those who want better mental arithmetic skills. Whilst a large number of the basic techniques applied were discovered by mathematicians well before Trachtenburg was born (Euler and Cauchy come to mind), this is almost certainly the first time that the thinking was brought to bear on simple arithmetic in such a systematic fashion.
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34 of 35 people found the following review helpful By word2thewise on 6 May 2009
Format: Paperback
While everything other reviewers have written is true as to this books ease at explaining a different method of grasping basic maths. It requires a very good memory to retain the system for daily use without referring back to the book. Especially in those of us that are older!

An example of the first unit (which deals with multiplication) is that learning to multiply by 12 has a different method than 11. You also then have a different method for learning to multiply 5,6 and 7 grouped together. Therefore, if you are prepared to put in many hours learning the 4 basic skills with repeated examples and practice addition,subtraction,multiplication and division again as if you had never learnt it, I think it is a novel and easy method to work through.

But that doesn't change the fact there are a lot of methods to retain in the head and probably better suited to kids fresh to schooling.
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15 of 15 people found the following review helpful By Mr. Dennis Addey on 8 Feb 2000
Format: Paperback
I read this book 28 years ago in 1972. It was a wonderful insight into the world of arithmetic and maths. I still continue my Jakow inspired interest in things numerical. What a brilliant and resilient man.
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26 of 27 people found the following review helpful By A Customer on 8 Jan 2001
Format: Paperback
I originally read this book when I was 13 and I have remembered it ever since. When I started vocational teaching of disadvantaged adults I remembered it and bought a copy for my students. I was impressed with what my students achieved and the faculty was astounded.
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53 of 56 people found the following review helpful By Phillip Martin on 22 Feb 2006
Format: Paperback
The contents of this book should be printed on gold leaf!
A person found time to record this work whilst facing death.
A work that removes the shroud of mystery that covers a branch of mathematics that holds painful memories for many people.
Mental Maths.
Mathematicians manipulate numbers with ease; general members of the public or school kids don't.
This book shows worked examples of how to do various calculations easier and quicker than 'conventional' means.
Example.
23 x 11
2 is the 'first digit'
3 is the 'last digit'
2 + 3 is the 'middle digit'
So 23 x 11 = 253
Many more examples and information are presented, so that with practice the 'sums' can be done in your head.
It's maths without the tears.
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7 of 7 people found the following review helpful By P. Fogarty on 2 May 2010
Format: Paperback
When I first saw this book - I thought 'Oh no - another book on Maths!' - however it is a real gem of great ideas!

I sat and read through it, and thought 'Wow - there are so many simple tricks I did not know about!' - and as SATs is coming up, teaching my class how to check their answers is really important.

Another reviewer pointed out that you had to learn a lot of rules - this is true - but for my Year 3 class, they loved having to follow each of these rules and the fact that each rule progressively moved onto the next rule! They all tell me what a wonderful book I have!

Next year, I plan to start in the school a club which is designed to teach Primary School children all about the Trachtenberg Speed system, as if they learn it early enough, I am sure it will prove to be be of great value to them throughout their lives.

I cannot recommend this book enough to anyone who has a child struggling with maths.
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18 of 19 people found the following review helpful By A Customer on 1 Oct 2001
Format: Paperback
This book shows you a wonderful step by step method for improving mental calculations that you use everyday without realising. By learning the methods described your confidence in using mathematics will sky rocket. I cannot recommend this book highly enough.
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