Course 1: Teacher Training Course (VMTTC)

- 100% online, and self-paced: the course is always open and anyone can join

- Courses are available world-wide

- Prior knowledge of Vedic Mathematics is not required

- A trainer is available to answer questions

- Regular tests and discussion forum

- A certificate for those who pass

**CLICK HERE **for more details, prices and enrollment (goes to Math2Shine website)

David Robinson's 4-page Challenge for math teachers

The Advanced 2 and Advanced 3 courses follow on from the Advanced 1 course described below.

Any queries can be sent to academy@vedicmaths.org

**Course Content
**

**Basic Level**

1. HOLISTIC MATHS

Course overview, history of our number system. 10-point circle,
completing 10s, addition. Mental addition from left to right

2. COMPLETING THE WHOLE

Early history of VM. Looking for 10s in addition, including adding
columns

Using addition and subtraction together

3. DOUBLING AND HALVING

Number splitting: doubling and repeated doubling. Maths teaching.
Halving and repeated halving

4. CREATIVE MATHS

Improvising and extending the multiplication tables

Multiplying and Dividing by 5, 50, 25

5. A MAGIC NUMBER

Digit sums, 9-point circle, casting out nines. Digit sum puzzles and
divisibility by 3,9,6,15

6. CHECKING IT OUT

Checking with digit sums. Checking with first and last figures / Vedic
Square

7. THE INVISIBLE NUMBER

Calculating left to right. Doubling & halving / Finger maths

8. SUBTRACTION

Recent history. Subtraction-left to right. Checking subtractions

9. EXPLAINING VEDIC MATHS

Questions on Vedic Maths. Combining/comparing fractions

10. ALL FROM 9 AND THE LAST FROM 10

Subtraction. Bar numbers

11. THE POWER OF NEGATIVE THINKING

Using bar numbers for subtraction. Number splitting

12. ANOTHER MAGIC NUMBER

Multiplication by 11. Divisibility by 11 and a ‘digit sum’ check

13. COHERENT MATHS

General multiplication and reverse. Algebraic multiplication and its
reverse

**Intermediate Level**

14. MATHEMAGICS

Multiplying numbers near 100. Proofs

15. NUMBER PATTERNS

Using Proportion to extend base multiplication

Multiplying near base 10, and multiples of 10

16. THINK OF A NUMBER

Use of transposition in solving word puzzles. Solving equations

17. SPECIAL AND GENERAL

Some special multiplication devices

18. SPECIAL DIVISION

Dividing by 9, 8, 11 etc. Algebraic division

19. NATURAL MATHS

The Sutras. Calculating areas. Temperature conversions. Spotting the
obvious

20. DEMONSTRATIONS

Advice on structuring a talk

21. GENERAL MULTIPLICATION

Extending the Vertically and Crosswise method

22. SQUARES AND ROOTS

Squaring 2-figure numbers and binomials. Square root of a perfect square

23. TRIPLES

Triple notation and addition. Rotations with triples

24. GENERAL SQUARING

The duplex, Squaring numbers of any size. Algebraic squaring

**Advanced 1 Level**

25. THE CROWNING GEM

Straight division. How to choose your remainder. Decimalizing the
remainder

26. STRAIGHT DIVISION

Extending straight division to 3-figure divisors. Negative flag digits.
Changing the numbers. Two figures or more on the flag

27. MASSIVE MULTIPLICATIONS

Multiplying numbers near high bases. Squaring near a base

Multiplying numbers near different bases

28. COORDINATE GEOMETRY

Equation of a line through two given points. Equation of a line through
a given point and parallel or perpendicular to a given line

29. SQUARE ROOTS

The general method

30. CALCULUS

Solving quadratic equations by two methods. Comparison of some Vedic
and conventional methods

31. RECURRING DECIMALS

From left to right and from right to left

32. SPECIAL NUMBERS

An easy kind of multiplication and special numbers

Their application in making recurring decimals easier

33. DIVISIBILITY

The osculation process

34. TRIPLE GEOMETRY

Triple subtraction and applications

35. LEFT TO RIGHT

Written calculations from left to right

36. COMBINING CALCULATIONS / THE VALUE OF pi

Calculating from the left. Sanskrit and Pi