The way I made the blocks is:
1. Lay two colors of fabric, right sides together, and draw a line diagonally from one corner to the other.
2. Sew 1/4 from both sides of the line and then cut diagonally on the line.
3. Cut the corners off each side and sew to the opposite side. You now have two resulting blocks that each have 4 stripes across each one.
I think you could probably figure out how to strip piece these, though, using the tube piecing method. The book I did this pattern from said to do it as stated above, so I just followed along with that.