Well, I have to say it looks like you are not paper piecing, but foundation piecing instead. Paper piecing involves the removal of the stabilizing paper. With foundation piecing, you leave the foundation in the quilt permanently, and it looks like that's what you are doing.
I've done a lot of paper piecing and tried a lot of different techniques, and I have to say my favorite method is using the fold-and-stitch method on vellum (not sewing through the paper, but right next to it).