The Trachtenberg Speed System of Basic Mathematics (Free PDF)

Content

• PAGES
• FOREWORD
• ONE: CARD OR NO CARD?
• Basic multiplication
• Multiply by eleven.
• Multiply by twelve.
• Multiply by six
• Multiply by seven
• Multiply by five
• Multiply eight by nine.
• Multiply by four
• Multiplication and other numbers
• Summary
• TWO: USED BY USER MANUAL
• Short multiplication involves multiplying two digits by another two digits.
• Long multiplication
• Multiply three numbers
• Multiply each length
• Summary
• Check answer
• THREE: QUICK OPERATION—“SECOND“POSITION” METHOD
• Multiply by the same number.
• Multiplication by Two Numbers
• The longest number is a two-digit number.
• Multiply three numbers
• Summary
• FOUR: APPENDIX AND BEST ANSWER
• Search all
• Check answer
• General control procedures
• FIVE: DIFFERENCE—SPEED IS RIGHT
• An easy way to share
• A quick way to share
• Distribution method
• Detailed method
• Differentiation of three numbers
• Divide any length.
• Partition control
• SIX: COMMON POINTS AND ROOTS
• Introduction
• Fall
• Three digits
• Square Roots
• Number seven, and number eight.
• Long number
• Control
• WORDS: ALGEBRAIC INTERPRETATION OF METHODS
• Mathematics in general
• Rows of eleven
• Algebraic manipulation
• Trachtenberg’s system in algebra
• Generally, out-of-table multiplication
• Equal numbers
• Multiplication by parts per line
• Numbers of any length
• EIGHT: POSTSCRIPT
• COPYRIGHT

Preface

The teacher called out a list of numbers one meter long to a nine-year-old boy who was walking steadily across the blackboard. He rose on tiptoe to reach the top and covered the entire distance at a speed that resembled that of light.

We asked a little girl wearing a ribbon to find the answer to the number 735352314 11. She found the correct answer (8088875454) in less time than it takes you to recite the multiplication table. We asked a thin, handsome boy with silver glasses to multiply 5132437201 by 452736502785. He solved the problem and calculated the answer, 2323641669144374104785, in seventy seconds.

Was a class teaching the Trachtenberg system of mathematics? What made this math wizard show so surprising was that there were kids who failed math over and over until their parents, in desperation, sent them off to learn this method.

The late Jakow Trachtenberg, founder of the Mathematical Institute in Zurich, Switzerland, and pioneer of a new and surprising method of mathematics, held the firm view that every person in the world “has a way of calculating extraordinary things. The Trachtenberg method is not only quick but also simple. Once you learn the rules, counting lightning bolts is as simple as reading a story. It looks like magic, but the rules are based on sound.

A brilliant engineer with a brilliant mind, Trachtenberg developed his simple mathematical system during the years he spent as a political prisoner in Hitler’s prisons. It’s impossible to separate these amazing works from the tragedies and harsh circumstances of their founders, as it’s likely that Professor Trachtenberg would never have developed the system if his life had been peaceful. This eliminated the drudgery often associated with it. and number.

Trachtenberg’s life is as intriguing and fascinating as his magnificent system of mathematics, which many scientists believe will ultimately revolutionize mathematics education in schools around the world. Russian Jakow Trachtenberg, born in Odessa on June 17, 1888, showed his talent early. St. He graduated with honors from St. Petersburg’s famous Reinstitute (Mining Institute) and joined the world-famous Bischoff ship as a student engineer. In his twenties, the Tsar appointed him as general manager. At that time, under the leadership of the Tsar, there were grand plans to build the best ships, and 11,000 men were under Trachtenberg’s command. Although he spearheaded the production of the Bischoff, Trachtenberg was a committed pacifist. He founded the Good Samaritan Society at the start of World War I, training Russian students in wound care, a work that the king greatly appreciated.

The assassination of the imperial family in 1918 ended Russia’s naval dream. This also ended Trachtenberg’s personal hope for a joyful and peaceful life. Trachtenberg, who opposes cruelty and violence, becomes a victim.

As revolutionaries spread throughout Russia, Trachtenberg fearlessly opposed brutality and rebellion. Criticism ruined his life. Early 1919 brought news of his impending execution. Disguised as a farmer, he travels at night, hides during the day, and enters Germany. Berlin, with its wide streets, coolness, air, and atmosphere, reminds him of St. Petersburg. Berlin’s wide streets, coolness, air, and atmosphere reminded him of St. Petersburg; it became his home. He started a new life in a small room at a foreign address and made friends with young intellectuals who had lost their minds during the war. For the leader. As the paper’s editor, he often appealed to this group when calling for Germany to move toward a peaceful future.

Trachtenberg married a beautiful aristocratic woman. His fame stemmed from his prolific writings on Russia, including the creation of the first book on Russian industry. He was considered Europe’s leading expert on Russian affairs. His innovative approach set him apart from others. Many German schools use the foreign language teaching system he developed.

The turmoil of his early years seemed to be behind him. But with the arrival of Hitler, Trachtenberg’s life once again followed the familiar path of conflict. He boldly condemned fascism. Trachtenberg was so popular that Hitler initially chose to ignore his attacks. However, as Trachtenberg’s accusations increased, Hitler dismissed him as forgetful.

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