What did Wittgenstein and Derrida have in common? They were both (at one stage of their lives) elementary school teachers!
Wittgenstein between 1922-26 (the years when he was between 33 and 37) famously taught in a primary school before he was forced to quit after hitting a student on his head for the child to lose consciousness. W only had two books published during his life time: the Tractatus and a vocabulary book for elementary school students. What a glorious and muy enloquecido teacher to have.
Derrida, instead of a compulsory military service, taught at a primary school in Algeria for two years when he was 27, 28 or thereabouts. This was around 1957, the hottest years in Algeria before independence. What kind of teacher he was, I can't tell.
I find it quite interesting, for me at this age, to teach in grade school along with my university position, if that's possible at all. A forced circulation of the teaching body among institutions of different age groups can only do good for the educational system in general. Themes out of school would be the only interesting and immediately pertinent in our collective survival.