I think one of the most important things that this section touched on was the combination of both types of motivation. You use a reward (extrinsic) to bridge the gap to real high quality motivation (intrinsic).
One of the most important things I see people over look, in and out of the classroom, is planning their rewards around the transition into intrinsic motivation. Too often people see the constant extrinsic rewards and modify the way they do things to only meet the minimum requirements to obtain the rewards.
Give a reward to teams that complete activities that enabling socialization and building a solid team environment, this will (hopefully) lead to the intrinsic reward of a great group experience.