This is "Quick Strip Paper-Piecing" from a book by Judy Martin. I took this class at Quilt Festival and it was very informative! I am actually going to make a WHOLE quilt with paper-piecing! (Which I NEVER thought I'd want to do - folding, ironing, trimming and then starting all over again with the next little piece!)
You just cut your fabric into strips and go to town, no folding, minimal pressing and trimming - very quick indeed!