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Top 5 Mental Math Methods in the World
Today you can define mental math in different ways. Some would argue that memorizing the times table and remembering the solutions can be part of mental math. Some would say that the ability to perform simple calculations in the head can be mental math.
The Web Dictionary defines mental math as “Calculate an exact answer without using pencil and paper or other physical aids.”
There are five methods available today for learning and practicing mental math.
Let’s start with the first one which is called “Memorization” or better known as rote memorization method where your teachers ask you to do boring multiplication tables. It not only kills the child’s interest in mathematics but also ensures that he develops a hatred for the subject for the rest of his years of study. This system gives its ardent devotee some degree of success initially, being able to answer easy problems, but then by the time the supposedly bigger application problems come around, it’s pretty much out of steam.
The second one gives you a good degree of success and I would highly recommend it to younger people. It originates from China and is popularly known as The Abacus (also known as Soroban in Japan). An abacus is a calculation tool, often constructed as a wooden frame with beads that slide on wires. By using this tool you can perform calculations related to addition, subtraction, multiplication and division with ease. Little by little he practices with the tool in hand and later when he has experience he learns to do it without the tool. This tool mentally adjusts to the mind and then can add, subtract, multiply and divide in seconds. This tool also improves a child’s concentration levels.
The main drawback of this system is that it focuses only on the 4 mathematical operations. Concepts beyond these operations such as algebra, square roots, cubes, squares, calculus and geometry etc. cannot be solved using it at all. It also takes more time to be able to fully understand the system, so you see abacus courses extending over 2 years, causing the child to get bored and then drop out of the course.
Another Chinese system collected mainly from the book The nine chapters on mathematical art sets out an approach to mathematics that focuses on finding the most general methods of solving problems. Book entries usually take the form of a problem statement, followed by a solution statement and an explanation of the procedure that led to the solution.
The methods explained in this system can hardly be called mental and they have no speed to finish it. Undoubtedly, the Chinese were the most advanced civilization thanks to the Yangtze and Yellow rivers, but if I had to choose between the two methods that this culture gives it would be the abacus.
If wars have a 99.99% downside, sometimes they can also have an upside because they lead to stories of hope and creativity. The following mental math system was developed during World War II in a Nazi concentration camp by a Ukrainian mathematician, Jakow Trachtenberg, to keep his mind occupied. What resulted is now known as the Trachtenberg Speed System of Mathematics and consists of rapid mental methods for doing mathematics.
The system consists of a series of easily memorized patterns that allow arithmetic calculations to be performed very quickly. It has wider applications than the Abacus and apart from the four basic methods of operation it covers squares and square roots.
The method focuses mainly on multiplication and even provides patterns for multiplication by particular number, for example 5, 6, 7 and even 11 and 12. It then provides a general method for quick multiplication and a special two-finger method. After practicing the method myself, I realized that multiplication was a very applicable mental method, but the other methods discussed for solving division and square roots were not very friendly and were impossible to do mentally. I was looking for a much better healthy method where I could easily perform other operations as well. Another drawback of this system was that, like the abacus, it was also unable to have a wider scope, that is, to cover other fields such as algebra, calculus, trigonometry, cube roots, etc.
A recommendation from a friend of mine in America introduced me to what is known as the Kumon Mathematical Method. It was founded by Japanese educator Toru Kumon in the 1950s, and as of 2007, over 4 million children were studying with the Kumon Method in over 43 different countries.
Students do not work together as a class but progress through the curriculum at their own pace, moving to the next level when they have mastered the previous level. This sometimes involves repeating the same set of cards until the student achieves a satisfactory score within a certain time limit. In American Kumon centers, the math program begins with very basic skills, such as pattern recognition and counting, and progresses to increasingly difficult subjects such as calculus, probability, and statistics. The Kumon Method does not cover geometry as a separate subject, but provides sufficient practice in geometry to meet the trigonometry prerequisites, which are covered within the Kumon mathematics curriculum.
I was very impressed by the glamor surrounding Kumon, but one glimpse of his resume left me deeply disappointed. It’s not mental at all. It doesn’t offer any special method for doing math, and it doesn’t improve speed by doing Kumon Math. There is a study plan of worksheets that is done until mastery of the subject is achieved. For example, let’s put a sheet on Division: one would continue to do division in the conventional method until he gets a satisfactory score and then move on to a higher level. This certainly doesn’t make the split any faster, and the process is certainly not mental.
Deep reflection on the reason for its enormous popularity in America led me to conclude that it was the lack of a franchisee business model for the Trachtenberg abacus and speed system in the 1950s. The franchisee model was fundamental to take the course from one country to another. This is where Toru Kumon thrived.
Disappointed with other cultures of the world, my research made me look into my own Indian culture. What I found shocked and amazed me so much that I fell in love with the system and started training students in the neighborhood on it.
This is easily the fastest mental math system in the world called High Speed Vedic Mathematics. It has its roots in the ancient Indian scriptures called the Vedas which means “the source of knowledge”. With it you can not only add, subtract, multiply or divide which is the limiting factor of the abacus but you can also solve complex mathematics such as algebra, geometry, calculus and trigonometry. Some of the most advanced, complex and arduous problems can be solved by the method of Vedic mathematics with extreme ease.
And all this with only 16 word formulas written in Sanskrit.
High Speed Vedic Mathematics was founded by Swami Sri Bharati Krishna Tirthaji Maharaja who was the Sankaracharya (Monk of the Supreme Order) of Govardhan Matha in Puri between 1911 and 1918. They are called “Vedic” because the sutras are contained in the Atharva Veda – a branch of mathematics and engineering in ancient Indian scriptures.
High Speed Vedic Mathematics it is much more systematic, simplified and unified than the conventional system. It is a computational mental tool that encourages the development and use of intuition and innovation, while providing the student with many flexibility, fun and satisfaction . For your child, it means giving them a competitive edge, a way to optimize their performance, and give them an edge in math and logic that will help them shine in the classroom and beyond.
So it is straightforward and easy to implement in schools, one of the reasons behind it huge popularity among academics and students It complements the Mathematics curriculum that is conventionally taught in schools by acting as a powerful checking tool and goes to save precious time in the exams.
The Trachtenberg method is often compared to Vedic mathematics. In fact, even some of the multiplication methods are strikingly similar. The Trachtenberg system is closer to the Vedic system in comparison and ease of methods. But the ease and mental solubility of the other method, especially division, square roots, cube roots, algebraic equations, trigonometry, calculus, etc., clearly give the Vedic system an advantage. NASA is even said to use some of these applications in the field of artificial intelligence.
There are only 16 Vedic Math Sutras or word formulas that one must practice to become efficient in the Vedic Math System. Mathematical sutras or formulas of words like Vertically and Crosswise, All from Nine and Last from ten help to solve complex problems easily and also a single formula can be applied in two or more fields at once. The Vertical and Crosswise formula is one such gem with which you can multiply, find squares, solve simultaneous equations and find the determinant of a matrix all at the same time.
If any of these methods are learned at an early age, a 14-year-old student can easily perform quick calculations during their exams and pass them.
Vedic mathematics is rapidly gaining popularity in this millennium. It is being considered as the only mental math system suitable for a child as it helps develop their numerical and mental skills. The methods are new and practical and teach only Rapid Mental Math.
The system does not focus on learning by repetition as in the Kumon Method. The system focuses on improving intelligence by teaching fundamentals and alternative methods. The goal is not just to improve performance in school or on tests, but to provide a broader view that results in improved mathematical intelligence and mental acuity.
To know more about Vedic Math Sutras – The World’s Fastest Mental Math System you can visit http://www.vedicmathsindia.org
This article is by Gaurav Tekriwal, the President of India’s Vedic Mathematics Forum, who has been conducting high-speed Vedic Mathematics workshops for the last five years and has trained more than seven thousand students worldwide in this rural area. He is the author of the best selling DVD on the subject containing over 10 hours on the subject. He is a subject matter expert and is revolutionizing the way children learn math.
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