In The Snowmen Clara gets his err.. "name" when she overhears him talking to Drax, but in the Bells of St John he introduces himself as The Doctor and does a whole song and dance when she asks Doctor Who?

I just checked Hide and Journey (thank you ABC iview) and he introduces himeself as the Doctor both times. In Hide the professor asks Doctor What? and he replies "If you like" and goes on to introduce Clara.