The strip piecing method that does not involve Y seams is by Marci Baker of Alicia's Attic. Here's a link to a you tube video of her showing it:
http://www.youtube.com/watch?v=DWpSETMbws4
Here is a link to a short tutorial based on the episode of Simply Quilts:
http://www.hgtv.com/decorating/tumbl...cks/index.html
There is also a small booklet that you can buy--Not Your Grandmother's Tumbling Blocks.
As for the traditional English Paper Piecing method--you could probably find all kinds of you tube videos and tutorials if you google "English Paper Piecing". It's very simple but most people associate it with Grandmother's Flower Garden Hexagons--not diamonds or triangles but it works with any shape--even squares. You take heavy paper or plastic templates, cut your fabric to fit over it and baste the fabric onto the template. Then you whipstitch the pieces together. After you have a piece completely surrounded--you pop out your templates. I prefer to use freezer paper templates and I pin baste my fabric onto the paper. I hate thread basting & having to pull out all the threads later but that is the normal way of getting the shapes. You could hand-piece all patterns this way without having to mark all the seam allowances but cutting out templates isn't one of my favorite things, either.