Quote Originally Posted by deaconfry
they dont go off on there own and teach genin because the jounin are the ones who teach the genin not chuunin
No they both do. Some Genins have Chuunin instructors. I'd imagine not all jounins are babysitters, after all only three teams make it to an actual Genin, in other words, only three instructors for each graduating class are needed. I doubt they'd have to call upon Kakashi, Kurenai or Asuma (now dead) again for a while.

The old instructors now just go on missions in a team as ninjas. For example we've seen time and time again Kakashi being away on a mission.