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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.

JRE
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user13267
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    It's actually criminal that Snape did not. – TheAsh Mar 10 '23 at 00:02
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    Perhaps it goes to show that Snape does not really care about being a teacher. He's a talented potion-maker, obviously, but does not seem to bother teaching past the "approved curriculum". – Turbo Mar 10 '23 at 14:32
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    @Turbo in his defense he only gets paid for teaching the "approved curriculum" – user13267 Mar 10 '23 at 15:31
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    @user13267 Yeah but I meant to allude that he doesn't really have a "teaching spirit". . . He's only teaching to A: Watch over Harry, B: Conspire with Dumbledore, and C: Make Voldemort believe he's an undercover Death Eater. I don't know of anywhere in canon it says "Snape wanted to be a teacher." – Turbo Mar 10 '23 at 15:40
  • @turbo EXACTLY! His whole life was dedicated to avenging Harry's mom's death. – Jess Fuckett Mar 22 '24 at 05:48
  • There is absolutely nothing, @Turbo, in Snape's personality that aligns in any way, shape, or form with "the teaching spirit". That's pretty obvious from our first meeting with him. (Most of my wife's family are teachers and have that "spirit"...) – FreeMan Mar 22 '24 at 12:50

3 Answers3

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Not that We Know of

There doesn't seem to be anything indicating Snape taught the techniques from his copy of Advanced Potion Making. However I would disagree that we have proof Snape invented/discovered these techniques.

Potions is generally billed as being the equivalent of a chemistry class, where students follow specific directions to observe specific results. However by NEWT level that does not appear to be what's happening.
For example in Harry Potter and the Half-Blood Prince Slughorn states that "by an almost alchemical process" a student can divine the extra ingredient needed to create an antidote for a multi-poison potion. He also claims in his first class that he "does not expect" students to create a perfect potion even though they have step-by-step instructions and all the ingredients to do so. Later (forgive me I don't recall the exact quote) Slughorn expresses the thought that a "real" potion maker needs independent thought.
Therefore I submit that, at the NEWT level, the potion instructions are INTENTIONALLY DESIGNED to create not-quite-perfect examples. Students are expected to either use the theory to determine what extra needs to be done, or presumably the not-perfect potions are discussed in lecture.
Hermione not being able to progress beyond the given instructions even though she memorized the theory (and remember even in their antidote-making class she doesn't seem to get it quite right) is in keeping with her coming in second in Defense Against the Dark Arts, where her problem of turning "book smarts" into actionable results also comes into play.
Therefore I submit that Snape's notes in his textbook are more in keeping with a cheat-sheet of answers rather than "new techniques" and teaching them on the "front end" would miss the point of the practical potion-making exercises.

lfurini
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Dario Quint
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    Overall this is sound logic, but as for the last part about it being a "Cheat Sheet", if I recall correctly some of his notes directly contradict the explicit instructions in "Advanced Potion Making" – Turbo Mar 10 '23 at 14:29
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    This is precisely why the test-results based teaching paradigm we use in the US is so useless. It teaches wrote regurgitation, not the ability to think. </OT rant> – FreeMan Mar 10 '23 at 16:56
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    @FreeMan: Eh, except, of course, that we get examples in the book of how badly things can go when the instructions aren't followed, c.f. Neville's various accidents. Similarly, high school chemistry classes often discourage changing of parameters, although my high school teacher welcomed people questioning, and would supervise approved modifications under proper safety precautions (and would warn us if the materials were likely to create a hazardous situation). – FuzzyBoots Mar 10 '23 at 17:20
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    Turbo they contradict the instructions but, as the book shows, he still gets the best answer. Potions doesn't seem to be a "show your work" type class, you just do the thing and the end result is what matters. – Dario Quint Mar 10 '23 at 17:42
  • @Freeman things CAN go badly wrong. Which is why I don't think the pre-NEWT potions classes worked this way. The OWL requirement weeds out those students that can't handle the added complexity/danger of "the instructions aren't necessarily correct". I would also point out Hogwarts/wizarding world in general are much more unconcerned with injury than the real world. Even the normal potions class has FAR more accidents and serious injuries than would ever be acceptable in a chemistry class. – Dario Quint Mar 10 '23 at 17:46
  • @DarioQuint Probably helps that magic can do things like grow bones back rapidly. – FuzzyBoots Mar 11 '23 at 01:19
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I can't give completely canon evidence, but I think it's very possible he might do. In earlier books he writes down instructions on the board for them to work from. (I need to find the quote)

And in others (the Shrinking Solution in PoA) there's reference to him telling them details.

'...Didn't you hear me say, quite clearly, that only one rat spleen was needed? Didn't I state quite plainly that a dash of leech juice would suffice?...'
The Boggart in the Wardrobe, PoA

I think he might be giving them slightly modified versions — otherwise they could just work straight from the textbook. (Real world/anecdote, if I were giving somebody else a recipe, I'd give my version, not word-for-word from the recipe book. If Snape is giving verbal instructions, or writing on the board, it's very likely it's his own potion — especially if it's a standard one he makes often.)

BeginTheBeguine
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This is more of a speculative comment than an answer (and I 100% agree with @Dario's answer), but I don't have the reputation to comment, so here we are...

As far as I can recall, many of Snape's adaptations seem like they could be applying Muggle innovations to the process to better achieve the goal of the step in question.

For example (since it's the only one I can remember off the top of my head while at work), Advanced Potion Making's instruction to finely chop the (soporific?) bean would seem to indicate that the juice/oil is the desired ingredient (that might even be stated explicitly). Snape, discerning/knowing that goal, and possibly drawing on ideas like the oil press or pestle and mortar to find a better way than mincing, replaced it with his instruction to crush it with the side of a knife blade instead.

If this is the case, and knowing the wizards' prejudice against all things Muggle (including his own), he might be reluctant to introduce the ideas to his classes for fear of being branded a mudblood/muggle-lover.

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