Teaching innovation can be difficult depending on the individuals you have to teach. Most people that get into jobs where innovation is needed do so because they have a gift for coming up with new ideas. Their brains are able to look outside the box for something new. Teaching innovation requires the same personality that is required to be in an innovation position. Those teaching innovation have experienced firsthand how innovation works.
In fact those teaching innovation have most likely written papers or books on the concept of innovation. Teaching innovation techniques is easier when someone has had the experience or even written the manual on innovation. The techniques one learns can be adapted for various situations. The tactics are set up so that it can change.