The Art and Science of Learning Craft  

  Subliminal maths

Though all the children are taught same formal procedure of multiplication, every one develops his own informal methods.

If one needs to say what 24 x 15 is no one does it by calculating,

             x 15              

the way we are taught to do. We either do as

(20 x 10) + (4 x 10) + (20 x 5) + (4 x 5) = 360, or (24 x 10) + (24 x 5) = 360, or in any other way that comes to mind.

It is to be noted here that till we learn to perform a task perfectly, a formal procedure is followed. once complete learning is accomplished our mind finds its own way and short cuts to do the needful.

Our mind is a excellent calculator, only we are not aware of it. We all have, as children played marbles in our childhood or some similar game. How many calculations are involved in it.

The size and weight of the marble has to be considered, the speed at which it has to be thrown, the angle, the distance, the wind velocity, the deceleration of the marble due to gravitational force are to be taken in to account.

And finally the force to be used and the moment the marble is to be released is to be accurately computed.

If we were to program a robot to do this how complex the task would be?

Our subconscious mind does this all with amazing speed. Catching a bus to squatting a fly our mind does enormous calculations almost every moment of our waking time.

We all learned. by heart, multiplication tables up to 15 or twenty in our child hood. If asked to multiply 7 x 7 or 12 x 4 off hand, when we are not prepared, we can answer.

We can answer instantly, with out consciously thinking and will  never make mistakes. Because any thing completely learned is sublimated (entrusted to right brain), doesn’t require conscious effort to retrieve and is infallible.

We seldom acknowledge and appreciate our inherent calculating ability because these cant be translated in to numbers, and we do not know the algorithm our brain uses.

A good example explaining the way our subconscious mind works is given by 'Joseph Murphy' in his book " The Power of Your Subconscious Mind ". this is also found in a book on Hypnosis by 'Melvin Powers'.

"The conscious mind is like the navigator or captain at the bridge of a ship. He directs the ship and signals orders to men in the engine room, who in turn control all the boilers, instruments, gauges, etc. The men in the engine room do not know where they are going; they follow orders.

They would go on the rocks if the man on the bridge issued faulty or wrong instructions, based on his findings with the compass, sextant, or other instruments. The men in the engine room obey him because he is in charge and issues orders, which are automatically obeyed. Members of the crew do not talk back to the captain; they simply carry out orders.

The captain is the master of his ship, and his decrees are carried out. Likewise, your conscious mind is the captain and the master of your ship, which represents your body, environment, and all your affairs. Your subconscious mind takes the orders you give it based upon what your conscious mind believes and accepts as true."

That the subconscious mind is illogical, is the basis of hypnosis and other systems of conditioning the brain. By suggestion or some other means, a detour is achieved and corrective instructions are directly given to the subconscious mind.

There is another characteristic aspect of subconscious mind, which is of paramount importance in learning. That is  'Infallibility' of the inner brain.

Take a pencil and try to tap on the table with, exactly a frequency of 72 taps per minute, can we do it perfectly even for a few minutes? . Our heart does years together, through out our life.

Walking, swimming or driving: any skill we acquire, till the task is completely learned, we consciously do things. Once complete learning is achieved, we do things even with out consciously aware of doing.

A marks man is much faster in taking aim and shooting, and strains himself much less, compared to a novice to shooting and is more accurate.

Any task, completely learned is entrusted to our subconscious mind for further execution.

Surprisingly we commit mistakes/ fail only while we are consciously doing and never when our subconscious mind took over and the task is performed unawares.

In a computer, there is hardware which executes a program installed. we encounter problems and bugs only when writing software and once it is made bug free and installed, the hardware executes it mechanically with unfailing accuracy. The analogy same with our brain. subconscious mind is the hardware that runs the software written by the conscious mind.

Invoking automaticity is the key to learn to solve a problem mentally.

Students while learning maths solve a problem and then go to next problem. In the course of academic year they solve the same problem many a times but automaticity is not achieved.

A repetition to be of any use, as a rule must be made before the initial memory fades out. if one practices typing on a day for an hour and again after 10 days. there wont be any improvement. the same applies to math's.

If you solve a problem, then solve another problem and if you attempt to solve the first problem again. It takes less time to solve the problem for the procedure is fresh in your memory. you solve the same problem many times in the same session and, you will be able to recall all the steps involved in solving the problem,the instant you look at the problem.

A software is designed for learning  maths and the algorithm used, its working principle are detailed in that section.

                                                                                        Photographic Memory