The first thing I have learned in this chapter is the difference between simple and compound weaves. This apparently is based on additional "elements" in either a weft or a warp. It seems like a pretty loose definition - e.g. the spider or honeycomb weaves often use special wefts to outline or highlight the woven structure. That said, the inclusion of overshot and summer & winter in this section make quite a bit of sense, as these involve special wefts (or warps if the draft were turned).
I am afraid I am not as excited by this chapter as I was the previous. I've done a fair bit of overshot and summer and winter - and so for my sample I think I will play with the Moorman technique. But work will soon become intense, so the weaving will come slowly.