trachtenberg maths

Learn to multiply without knowing your tables. You learn a rule for each number rather than a table. You must learn them in a certain order which is
11,12,6,7,5,9,8,4,3

this is because the rule for eleven is the simplest, and each subsequent rule is only a bit different from its predecessor: for example the rule for multiplying by six is very similar to the rule for multiplying by twelve and so on. If you tried to learn the rule for multiplying by three before learning all the others you would get lost. Frankly I think some of the later, more complicated rules are a bit self-defeating. Now choose a number


multiply by 11
download the flash source file for multiplying by 11
multiply by 12
download the flash source file for multiplying by 12
multiply by 6
download the flash source file for multiplying by 6
multiply by 7
download the flash source file for multiplying by 7
multiply by 5
download the flash source file for multiplying by 5
multiply by 9
download the flash source file for multiplying by 9
multiply by 8
download the flash source file for multiplying by 8
multiply by 4
download the flash source file for multiplying by 4
multiply by 3
download the flash source file for multiplying by 3



compare with BBC bitesize
compare with BBC skillswise



download zip file of 'memtoo.exe' which is another program that teaches the method but it will run from the command prompt. It will run on a fifteen-year-old PC that won't even run windows

learn algebra in literally minutes from this incomprehensible graphic
download the flash source file for the above
learn about harmonographs
another trachtenberg site
learn how to write mandelbrot programs


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my email is davidvwilliamson@hotmail.com