Paper piecing is a whole different thing. You would make a separate photocopy for each block you intend to make. You sew right on the photocopy, in other words, you piece on the paper, hence paper piecing. It is also called foundation piecing. The easiest way to explain this is for you to look at some youtube videos. Here's one:
https://www.youtube.com/watch?v=H_w35u9gICk
Carol Doak is one of the most popular pattern designers for PP
http://www.caroldoak.com/index.php
Oh, and one more thing. English paper piecing and paper piecing are two different techniques!