I've only been playing for a couple of months now, but I've had six lessons and have hit at least 300 balls a week since I've started.

I'm not sure how long you've been playing. I was taking a lesson a week, and I felt like I was making great progress. However, given the short amount of time between lessons, I didn't give myself a chance to let the swing become natural. As a result, after my fifth and final lesson (at that time), I grooved into a particular swing. The problem was that as things became more comfortable and I was getting my hands around correctly and on time, I began grossly hooking my shots. I couldn't fix it for the life of me, so I went back for another lesson. He explained that it had to do with my takeaway - I wasn't opening the clubface enough on the backswing. That took another week or so to begin feeling natural, and now I'm hitting longer and straighter than I ever have.

My point is that it takes time to incorporate what you learn and have it feel natural. Maybe some parts catch on quicker than others. So, if you're swinging great now, that's awesome. If you start hooking shots because your hands have learned to turn over quicker, then work on opening the clubface more on your backswing. At least, now you know how your opening and closing the clubface on the back and forward swing affect direction. I didn't know before, but now I do so I know how to correct myself when things aren't going the way I want them to.