Since my little paper piecing intro was so short this morning, and possibly not as clear as it could have been, here are two online primers that are very clear:
www.mytimepatterns.com/basics.html
(using the fold down method),
http://www.winnowing.com/ppp.html
(no folding down)
and also my own account of following the first primer:
Left, I've already cut the two longish strips of fabric, 2" wide for the black, and 1 1/2" wide for the white. I've cut out a 2X2 square that matches the center square on the block pattern, plus 1/4" margin on all sides, and attached the back of the paper to the wrong side of the fabric with a tiny dab of glue stick.
Then, I folded the paper 1/4" above the line separating #1 and #2. Left above pic is the back (of the paper). I lined up the white fabric, unfolded the paper, flipped it over, and sewed on the line.
Then I folded the paper down again and trimmed
both fabrics even with the fold. (right)
Below, I cut the strip even with the edge of the black square. Then I opened it up, and ironed.
I did the same with the other three sides (following the order of the numbers as always), then started with the corners. Below, the first corner placed on the back (of the paper - right side of block), flipped over and stitched on the line. This pic is the back of the paper again.
Below, I turned it over, folded down the paper again, and trimmed all of the fabric in line with the fold.
Below, all four corners done.
I flipped it over and trimmed along the outer lines of the paper pattern, and that's it.
Below, finished, except for the removing of the paper, which Kimberly told us should wait until the whole piece is completed. If using computer paper, carefully tear each section out along the sewing lines so you don't tear out the stitching. Also, using a smaller stitch and/or doubling back at the ends will help with this.