Half-Blood Prince clearly shows that Snape's instructions regarding 6th year potions are superior to those given in the books, so much so that just blindly following them without even understanding the reason behind them lets Harry make better potions than Hermione. It's also heavily hinted that Snape invented or discovered these techniques himself, most likely while he was using the books as a student himself. Some of these techniques are so unorthodox that Hermione doesn't want to follow them, nor does she want to believe that they work.
Did Snape ever teach any of his discovered techniques to any student? Perhaps to students of Slytherin house, or in special classes to Malfoy?
Any canon level answer is welcome.