Oops, you read before final edit.
Brain not working well with fingers today. :rolleyes:
Both words are plays on speech (exploricate + edumication) ... similar to Bain Dramage (Brain Damage). It's similar, I guess to playing with Pig Latin. :) The second is tongue in cheek towards schools :)
I can't speak for the Continental US, but if you use either words in the High school or with parents here in this community, everyone will understand what's being said.