I have been in karate for about 14 months now and the way in which we do katas in the style that I do is sort of like shaddow fighting but with deeper meaning. So, you might be fighting one or multiple opponents, with kicks, puches and blocking techniques, but at the same time, focusing on the techniques that you are doing. In my understanding, some katas are like this, while others are movements that don't resemble fighting but rather moving your body in an artistic way. No, not like dancing...ok in some ways maybe it is, but a martial artistic way, if that makes any sense.