I know the freezer paper piecing pattern I drew looked a bit hard to follow when seen as a whole, but it is rather simple if you break it down into its components of A, B, C, etc and 1, 2, 3, etc. To keep myself from getting totally muddled I cut out just the pieces featuring the letter 'A' today.
Then using the numbers as a guide I pressed each paper piece on the appropriate piece of fabric and cut them out. I reduced the stitch size on my machine down to 1.50, and I pinned - very carefully. To match up the seams you need to push a pin through the fabric directly adjacent to one of the pencil lines you have made and then come up through the piece it matches up to right by the corresponding line. Pull the pin through the two layers of fabric until the pin head is flush. Repeat with any other marked lines, and then with those pins held securely in place pin the two pieces together as per normal. Remove the pins that were held flush with the fabric before sewing.
You only sew from paper corner to paper corner with freezer paper piecing, and you sew just to the right of the paper through the fabric. I backstitch both ends of the line of stitching for added security. Then I press my seams open.
The 'A' section of the pattern broke down into three clear parts. A1 and A2 were sewn together, then A3, A4, A5 and A6 were attached together. Last, A7, A8, A9 and A10 were joined up. The two long bits then become one, and finally the red and orange A1/A2 were attached to the bottom. I trimmed up the edges and this is the first piece of the puzzle.
For someone who pathologically hates foundation paper piecing (mostly because I am totally crap at it and hate the amount of fabric it uses) I find freezer paper piecing remarkably easy and it just makes sense to me. We all have our preferences. Mine aren't always logical.