I recommend spending a little time staring at the picture and thinking about where all the joints are and how they move. Check out the website: www.horsesinsideout.com. There is some wonderful educational content there.
One excellent exercise that I think many people do not use enough is the turn on the forehand. For beginners this is a wonderful exercise for learning coordination of the aids – how much leg, where to put the leg, and just enough hand to discourage the horse from moving forward, but not hanging on the mouth. For the green horse, it’s a wonderful way to introduce moving away from the leg as opposed to going faster to the leg. For the advanced horse it can be an excellent tune-up.