See above I personally know a headteacher and many teachers with half a brain cell
I am more convinced that Brexit was right today than I have ever been. But that's based on half a brain cell.
I wouldn't use teachers as an example of who voted where, to try and back up your argument.
I know about 20 teachers and maybe 3 headmasters well, I would estimate 90% of them never voted brexit, as far as I know, and the vast majority slate people that did. Come to think of it, I don't think 90% of them voted tory either, and most earn well above average wage, and are firmly in the middle class, especially for our area.
Being a teacher is no guarantee of knowledge on brexit or especially economics (which is the most crucial/ lied about aspect when it comes to Brexit), so they may be dumb on that topic, but most won't be.
The only two I know who voted brexit or at least Tory, are older, teach in private schools (no working class kids there) and earn around 50k and 80k+ respectively.
Older folk and Tories largely voted for brexit, as they largely vote in self interest, and no matter what happens with brexit they're likely secure anyway. Some of the young working class were conned (by the Older Folk/ Tories), and will likely be the ones who end up even worse off.
My bet is the younger working class folk have largely realised their errors, but the old Tories won't as it's not necessarily an error for them personally.