There's also English Paper Piecing which is typically done by hand sewing. Faves right now are hexagons. Cut out fabric roughly the shape of the paper piece that you need covered. Fold the raw edges over the paper and either glue down or baste with thread. Then typically a 'whip stitch' sew the 2 pieces together.
Traditional paper piecing (sewing through the lines on the paper) can be a bit cumbersome to figure out initially - kind of like sewing upside down and backwards - but once you get the hang of it, it is an incredibly precise method. I had to take a class at my LQS before I really 'got it'. Just wasn't visualizing it well enough from online sources. Well worth the $$ for that class.