[RUDE drummer]

I'm right handed and started playing on a lefty kit because my brother is a lefty and he got his kit before me. I play mostly open handed, but I cross it up as well, and it works to my advantage sometimes. I'm in a Deathcore/Black Metal (weird combo, right?) band and when i cross over from one to the other I leave out a snare hit or hi hat hit and get on the other side of the beat and it gives the song a totally different sound, which can be applied to any genre. But back to the drum teacher thing, like Slingerland said, it only takes a few minutes to switch the kit to a lefty and it isnt that big of a deal.