Contemporary and Modern
This style would be packaged into one. Contemporary now means anything that is not any of the others. It is the epitome of hodge-podge. They are of course codified techniques, the same goes for modern. Modern in the States refers to a technique, normally created by a person: Cunningham, Graham, Limon, Horton. These all are styles of movement as well as pieces of choreography. To say that you are a modern dancer can mean that you have studied one technique so intensely that you only dance that style. However, most people try other subjects and that is then incorporated into their style, Then their dance becomes contemporary or what I call generalized modern. I would use movements that are crucial in the modern techniques, but not limit myself to one style. I would teach this to children and teenagers of any level, but preferable with some training, maybe in ballet.