# Schools of Mental Calculation

**URL:** <https://forum.artofmemory.com/t/schools-of-mental-calculation/27187>\
**Category:** Mental Calculation, Mathematics, and Puzzles\
**Tags:** trachtenberg-method\
**Created:** [November 15, 2011, 6:03pm UTC](https://forum.artofmemory.com/t/schools-of-mental-calculation/27187 "2011-11-15T18:03:56Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![Josh](https://forum.artofmemory.com/user_avatar/forum.artofmemory.com/josh/32/21_2.png) [@Josh](https://forum.artofmemory.com/u/Josh)\
**Post date:** [November 15, 2011, 6:03pm UTC](https://forum.artofmemory.com/t/schools-of-mental-calculation/27187/1 "2011-11-15T18:03:56Z")

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This thread is for compiling the different systems of [mental math](https://artofmemory.com/mental-math/) as well as books and training tools.

I’ll link to pages about some of the methods I’ve heard of:

> **[Mental calculation](https://en.wikipedia.org/wiki/Mental_calculation)**
>
> Mental calculation (also known as mental computation) consists of arithmetical calculations made by the mind, within the brain, with no help from any supplies (such as pencil and paper) or devices such as a calculator. People may use mental calculation when computing tools are not available, when it is faster than other means of calculation (such as conventional educational institution methods), or even in a competitive context. Mental calculation often involves the use of specific techniques Ca...

> **[Trachtenberg System](https://artofmemory.com/wiki/Trachtenberg_System/)**
>
> 👉 The method for general multiplication is a method to achieve multiplications a\*b with low space complexity.

> **[Mental Math - Wikibooks, open books for an open world](https://en.wikibooks.org/wiki/Mental_Math)**

[https://www.vedicmaths.org/introduction/tutorial/tutorial.asp](https://www.vedicmaths.org/introduction/tutorial/tutorial.asp)

Practice sites:

[http://windhoff.net/mental\_arithmetic/#Multiplication](http://windhoff.net/mental_arithmetic/#Multiplication)

Post links if you know of any good information on the subject. 🙂

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**Author:** ![geezer](https://forum.artofmemory.com/user_avatar/forum.artofmemory.com/geezer/32/2745_2.png) [@geezer](https://forum.artofmemory.com/u/geezer)\
**Post date:** [March 25, 2012, 5:45am UTC](https://forum.artofmemory.com/t/schools-of-mental-calculation/27187/2 "2012-03-25T05:45:58Z")

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Here is a good practice site:

[http://www.momonix.com/calc/](http://www.momonix.com/calc/)

> [@](#):
>
> ‘Arithmetic Problems’ is a web application that’s optimized for iPhone, but it also works on normal computers. It generates an endless supply of arithmetic problems, based on random numbers. You can choose different difficulty levels and different kinds of problems. The application is meant for training mental calculation.
> 
> Performing mental calculations is an excellent way to train your brain. According to this Wikipedia article “Mental calculation is said to improve mental capability, increases speed of response, memory power, and concentration power.”

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**Author:** ![Dale](https://forum.artofmemory.com/user_avatar/forum.artofmemory.com/dale/32/2636_2.png) [@Dale](https://forum.artofmemory.com/u/Dale)\
**Post date:** [March 25, 2012, 10:43pm UTC](https://forum.artofmemory.com/t/schools-of-mental-calculation/27187/3 "2012-03-25T22:43:39Z")

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> **[Curious and Useful Math](https://www.curiousmath.com/)**

> **[Grey Matters: Mental Gym](http://gmmentalgym.blogspot.com/)**
>
> Train and strain your brain to entertain!

> **[s9510.pdf](https://assets.press.princeton.edu/chapters/s9510.pdf)**
>
> 504.99 KB

> **[Mentat Wiki: Mental Math](https://www.ludism.org/mentat/MentalMath)**