The reason for foundation piecing is that the resulting quilt block has perfectly sewn points. Everything goes together pretty quickly and with a little care, every scrap of fabric is place exactly where it is supposed to be.
We have so many options for foundation piecing. There is paper piecing where you sew onto the paper and have to pick all of the little pieces of paper out afterwards. This is the paper piecing I usually do.
There is paper piecing where you fold back the paper and it never gets sewn into the fabric.
And there is the kind of foundation that never gets taken out. A company called QuiltSmart manufactures this third kind of foundation.
Here is my first attempt at QuiltSmart Foundation Patterns.
Starting the Mondo Bag -> http://youtu.be/3nu8eIcabyk