How can I significantly improve my hand independence on piano?
I'm a intermediate piano student (I can play almost without a break if you give me notes but am still poor on chords). Recently, I picked up songs with chords in them which require a rhythm (like Piano Man) on the left hand and notes on the right (The lyrics). I am unable to manage my left and right coordination; for some reason my hands love symmetry and if i trying to play a rhythm chord on my left hand and lyrics on my right, I end up doing the lyrics on both or chords on both. I am unable to get my left and right hands do different things. How do I improve this?
I know the obvious answer is "practice". But my question is HOW? What specifically do I need to do in order to improve this aspect.