So in the beginning of ‘The Day of the Doctor’ we saw this signboard next to Clara’s school directing to a scrap yard on 76 Totter’s Lane
Which is where the Doctor’s TARDIS is located in the beginning of the very first episode 'The Unearthly Child’ and the place where he meets his first on-screen companions, schoolteachers Barbara Wright and Ian Chesterton. This is the place that sends him off on his adventure through space and time 50 years ago.
And speaking of Ian, who is the Chairman of the Governors in the same school?
That’s wright! None other than Ian himself! Which may be why the Doctor didn’t go to take Clara from school but called her out. 'Cause we all know the Doctor doesn’t like goodbyes.