(Interesting, because I've never had a student pilot who couldn't understand what the phrase "No touch and go landings" means.)
And when your students asked why no touch and go's are allowed, what did you say? What explanation could you possibly give them that would make sense as to why touch and go's are not allowed?
There is absolutly no reason why an airport would prohibit ONE touch and go, yet at the same time allow you to land full stop, taxi back then takeoff again.