Some able adults will despair to their piano teacher that they feel they'll never master this skill, whereas many tiny tots seem to learn independent hands with no apparent problem. Let's face it, everyone's brain works slightly differently. Some are just wired naturally for piano playing and some are not.
Don't despair though. By following the advice below anyone can benefit from their piano lessons. some will take longer than others and may feel they are getting nowhere for a while but there is always some improvement through practice.
Consider these three steps to success.
First, make sure that the piece you're attempting to play isn't too difficult. If you're trying to run before you can walk, you'll get nowhere fast! As adults, we all tend to look at first pieces in a book and think we can achieve something much harder.
Remember that when training your fingers for the piano keyboard you have to learn many new motor skills. Remember the hare and the tortoise. When you start to play piano going slow is really the best policy.
Second, make sure you are confident about playing each hand separately. So well in fact that you would not be put off playing by any minor distractions.
You should be able to play the left hand whilst singing the melody of the right hand at the same time. This is a great way to start to detach your playing from your conscious thinking. Eventually your hands will carry on playing wherever your mind may be.
Third, just take it slowly. I mean slow the tempo right down and play the piano notes regularly in tempo but slowly. You'll naturally have to play more slowly hands together than you do hands separately at first.
As soon as you start to put the hands together just cut your speed in half. Then be very precise. If you play too quickly to be accurate then you are actually learning to memorise these inaccuracies. You can always speed up when you are more proficient.
By following these simple steps, you will learn piano very quickly. For some people it will happen almost instantaneously whilst others will have to struggle, but if you persevere and keep repeating these steps the hands will eventually seem to know instinctively which piano notes to play and when.