Job Discussion Forums

[Glenski]

I don't know if there is a specific name for them in the U.S. Conversation school seems to fit what you described. Various countries have their own names ("eikaiwa" for Japan, for example).
http://en.wikipedia.org/wiki/Eikaiwa_school
http://www.thejapanguy.com/3423/ten-initial-differences-between-an-eikaiwa-and-a-japanese-public-school-shougakko/

Other jobs that might be available are ALT, where you work at a (or several) public school, and the local teacher is your supervisor working in the room at the same time.

[Jonikiro]

Interesting. Both conversation schools and ALT positions seem to be interesting opportunities for someone as new to this as I am. Fresh out of the CELTA course, I still don't feel quite prepared for a full year long contract teaching on my own in an actual school, but working in a conversation school or simply as an assistant sounds like a good way to get my feet wet. Thanks. I'll look into this.