I agree knapping should begin with exposure to the wide range of possible tools that can be created. Knowing your goal is darn helpful to getting there. The sole focus on arrowheads in my first class did seem far too narrow.
I forgot to note earlier that another reason for my interest in knapping is its use of animal horn, bone, antler, teeth, and hide. My interest being the fullest use of harvested animals - as well as rocks.