Vedic Mathematics Teacher’s Manual

Here, we provided to Vedic Mathematics Teacher’s Manual. This Manual is the first of three self-contained Manuals (Elementary, Intermediate, and Advanced) which are designed for adults with a basic understanding of mathematics to learn or teach the Vedic system. So teachers could use it to learn Vedic Mathematics, though it is not suitable as a text for children (for that the Cosmic Calculator Course is recommended). Or it could be used to teach a course on Vedic Mathematics. This Manual is suitable for teachers of children in grades 3 to 7. Free download PDF Vedic Mathematics Teacher’s Manual.

vedic mathematics teacher's manual

The sixteen lessons of this course are based on a series of one-week summer courses given at Oxford University by the author to Swedish mathematics teachers between 1990 and 1995. Those courses were quite intensive consisting of eighteen, one and a half hour, lessons. All techniques are fully explained and proofs are given where appropriate, the relevant Sutras are indicated throughout (these are listed at the end of the Manual) and, for convenience, answers are given after each exercise.

Crossreferences are given showing what alternative topics may be continued with at certain points. It should also be noted that in the Vedic system a mental approach is preferred so we always encourage students to work mentally as long as it is comfortable. In the Cosmic Calculator Course, pupils are given a short mental test at the start of most or all lessons, which makes a good start to the lesson, revises previous work, and introduces some of the ideas needed in the current lesson. Free download PDF Vedic Mathematics Teacher’s Manual.

In the Cosmic Calculator course, there are also many games that help to establish and promote confidence in using the Vedic system. Some topics will be found to be missing in this text: for example, there is no section on area, only a brief mention. This is because the actual methods are the same as currently taught so that the only difference would be to give the relevant Sutra(s). Free download PDF Vedic Mathematics Teacher’s Manual.






Table Of Content:


You must have heard of Vedic Mathematics but wondered what this meant and what it was all about. Vedic Mathematics is the collective name given to a set of sixteen mathematical formula discovered by Jagadguru Swami Sri Bharati Krishna Tirthaji Maharaj. Each formula deals with a different branch of Mathematics. Free download PDF Vedic Mathematics Teacher’s Manual.

These sixteen formulae can be used to solve problems ranging from arithmetic to algebra to geometry to conics to calculus. The formulae are complete by themselves and applicable to virtually any kind of mathematical problem. Complex mathematical questions that otherwise take numerous steps to solve can be solved with the help of a few steps and in some cases without any intermediate steps at all! And these systems are so simple that even people with an average knowledge of mathematics can easily understand them. 

Once the formula (which is called‘sutra’ in Vedic Mathematics) is learned, it can be applied to a certain category of problems, such as multiplication, division, fractions, and so on. The founder of Vedic Mathematics, Jagadguru Swami Bharati Krishna Tirthaji Maharaj, was born in 1884. He was an exceptionally brilliant student right from childhood and always secured first place in all his classes throughout his education. He had an extraordinary proficiency over Sanskrit, English, mathematics, and other subjects. After having completed his B.A. and M.A., he started writing articles on different subjects. Free download PDF Vedic Mathematics Teacher’s Manual.

Since then much of Swamiji’s life was spent studying the different spiritual sciences and Vedantic philosophy. He used to go to the nearby forests and practice various forms of meditation and ponder deeply on these subjects. The formulae (sutras) of Vedic Mathematicswere discovered by him in the same manner, viz. through deep intuitive meditation. It is important to note that the word ‘Vedic’ is used as an adjective in connection with the Vedas. We all know that there are four Vedas: Rigveda, Samaveda, Yajurveda, and Atharvaveda. Each of these deals with a specific set of subjects. Free download PDF Vedic Mathematics Teacher’s Manual.

Out of these Vedas, the ‘Atharvaveda’ dealt with subjects of architecture, engineering, and general mathematics. However, according to historians, what we generally call Vedic Mathematics in parlance with the findings of Swamiji is not mentioned anywhere in the Vedas, not even the Atharvaveda which deals with mathematical subjects. Then, the obvious question arises: Why is the word Vedic used to describe this discovery when it has no direct relation with the Vedas? In fact, the use of the word Vedic as an adjective to the systems of Swamiji has aroused a certain amount of controversy. 

However, the followers and disciples of Swamiji have strong arguments. According to Swamiji, the word Veda means the fountainhead and illimitable storehouse of all knowledge. This means that the Vedas should have all the knowledge that is needed by a man for his perfect all-round success. Thus, the word Vedic was used by Swamiji as an adjective to his discovery. It is said that Swamiji discovered these Vedic formulae between 1911-1918. I have used the word‘discovered’ because it has a particular significance in the context of Swamiji’s work. Unlike the other sciences, which are discovered empirically, the discovery of Vedic Mathematics is very intuitive.

Swamiji did not discover the formulae of Vedic Mathematics by deduction but he discovered them out of deep meditation. It is said that he had practiced meditation in deep silence around the forests of Sringeri for a period of eight years, where some higher source of intelligence revealed to him these ‘secrets’. Free download PDF Vedic Mathematics Teacher’s Manual.

Swamiji was a spiritually realized personality and so it was possible for him to gain insights through intuitive revelation. Swamiji also told his disciples that he had reconstructed the sixteen formulae from Atharvaveda after tireless research and deep ‘tapas’. Thus, whereas one does not find the sutras in the Atharvaveda, they were actually reconstructed on the basis of intuitive revelation from scattered references of some content of the Atharvaveda. Free download PDF Vedic Mathematics Teacher’s Manual.

Swamiji had written sixteen manuscripts and each manuscript dealt with each of the sixteen sutras. These manuscripts were kept by him at the place of one of his disciples. However, the manuscripts were lost from their place of deposit! There was no other written evidence of the sutras apart from the lost manuscripts. Free download PDF Vedic Mathematics Teacher’s Manual.

Swamiji was not much disturbed at the loss and said that he could rewrite the whole chunk of research again out of his memory. In 1957, Swamiji wrote an introductory volume to the sixteen sutras. He planned to write further volumes but he subsequently developed a cataract in both eyes and his failing health did not allow him to fulfill his plans. As time passed his health continued to deteriorate, and in 1960 he achieved‘maha samadhi’. Free download PDF Vedic Mathematics Teacher’s Manual.

Thus, because of the loss of the manuscripts, the world was bereft of great knowledge which it would have otherwise greatly cherished. What Swamiji has left behind (in comparison to his research) is just the tip of the iceberg. He created the manuscript of his introductory work around1958 in the USA and his introductory work has scattered references to the sixteen sutras and sub sutras. Free download PDF Vedic Mathematics Teacher’s Manual.

Whatever little matter of Vedic Mathematics is available to us today is of such quality and genius that it has taken the world by storm, and people have literally been bewildered by the workings of the techniques. One can only wonder what would have happened to the mathematical world if his complete works were accessible to us…. Free download PDF Vedic Mathematics Teacher’s Manual.

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