Vedic Mathematics is a collection of Techniques/Sutras to solve mathematical arithmetic's in easy and faster way. It consists of 16 Sutras (Formulae) and 13 sub-sutras (Sub Formulae) which can be used for problems involved in arithmetic, algebra, geometry, calculus, conics.
Perhaps the most striking feature of the Vedic system is its coherence. Instead of a hotchpotch of unrelated techniques the whole system is beautifully interrelated and unified: the general multiplication method, for example, is easily reversed to allow one-line divisions and the simple squaring method can be reversed to give one-line square roots. It makes mathematics easy and enjoyable and encourages innovation.
In modern teaching you usually have one way of doing a calculation. In the Vedic system there are general methods which can be used for solving same arithmetic calculation in different way suitable at any particular instance.
Calculations can often be carried out from right to left or from left to right. One can represent numbers in more than one way; we can work two or more figures at a time if we wish.
The Vedic system does not insist on a purely analytic approach as many modern teaching methods do. This makes a big difference to the attitude which children have towards mathematics.
Mental, improves memory
The ease and simplicity of Vedic Mathematics means that calculations can be carried out mentally (though the methods can also be written down). There are many advantages in using a flexible, mental system.
Pupils can invent their own methods; they are not limited to the one 'correct' method. This leads to more creative, interested and intelligent pupils. It also leads to improved memory and greater mental agility.
Bear in mind also that mathematical objects are mental objects. In working directly with these objects as in mental maths you get closer to the objects and understand them and their properties and relationships much better.
All these features of Vedic math encourage students to be creative in doing their math. Being naturally creative students like to devise their own methods of solution. The Vedic system seeks to cultivate intuition, having a conscious proof or explanation of a method beforehand is not essential in the Vedic methodology.
Appeals to everyone
The Vedic system appears to be effective over all ability ranges: the able child loves the choice and freedom to experiment and the less able may prefer to stick to the general methods but loves the simple patterns they can use. Artistic types love the opportunity to invent and have their own unique input, while the analytic types enjoy the challenge and scope of multiple methods.
Increases mental agility
Because the Vedic system uses these ultra-easy methods mental calculation is preferred and leads naturally to develop mental agility. And this in turn leads to growth in other subjects.
Efficient and fast
In the Vedic system 'difficult' problems or huge sums can often be solved immediately. These striking and beautiful methods are just a part of a complete system of mathematics which is far more systematic than the modern 'system'. Vedic Mathematics manifests the coherent and unified structure naturally inherent in mathematics and the methods are direct, easy and complementary.
The experience of the joy of mathematics is an immediate and natural consequence of practicing Vedic Mathematics. And this is the true nature of maths - not the rigid and boring 'system' that is currently widespread.
Methods apply in algebra
Another important feature of the Vedic system is that once an arithmetic method has been mastered the same method can be applied to algebraic cases of that type - the beautiful coherence between arithmetic and algebra is clearly manifest in the Vedic system.