I honestly think that paper piecing is one of those techniques that is far more confusing when it's explained than when it's demonstrated. The best way to learn it is to sit down with some instructions and just work your way through it, one step at a time. It will become clear as you go. It's a great technique to know for doing complicated blocks where nice sharp precise little points are a must and I have found it really useful for doing pieced borders. That way, you can draw the border on a strip of paper (I use recycled unprinted newspaper rolls from our local paper) and then piece right over the paper drawing. The border comes out spot on every time that way.