I assume that what your teacher is getting you to do is play the roots in the left hand and the 3rds and 7ths in the right hand? That's a pretty common and useful starting point, as it strips things down and allows you to see, feel and hear the two fundamental things going on (root progression, and voice-leading of guide tones). It's only a starting point though.
Actually, he's having me play the chords with my left hand and the melody with my right hand. He's having me try a lot of different ways to voice the chords, which is confusing for me because I can never decide which to use. He keeps saying that it just depends on the context and style - which I'm sure is true - but what kind of context and style is it when you're just learning jazz?