Let's try something "funny".

Harry Potter related question, hopefully disregarding the horrible issues with the author. If anyone is annoyed by the topic feel free to move / delete.

Just wondering after I happened to see some parts of the movies.

so... Hogwart has three "houses" that seem to align to specific personality traits. Of those, Slytherin seems to be centered around "ambition, resourcefulness, determination, and cleverness". There is already plenty of questioning about the house being "evil" and so on, and it looks like the general consent is that on principle the house should have no issue.

That said, ambition is an odd value that can easily go horribly wrong.

But so could Griffindor, know to be "daring and have a short-temper".

So I do wonder. Is there any clear reasoning about splitting the students in a way that will reinforce their positive but also negative traits ?

Even forgetting the fact that the hat has a fundamental flaw in implying that one has a set path in a way, I would expect that the teachers in the houses were purposely chosen to promote the good sides while correcting the bad ones.

Simply put: if for example the Slytherin were know to have ambition issues, why apparently there is no system in place that promotes correction of those sides?

you know your student has an ambition issue, you ignore it until it blows in you face, you try to punish them to correct them.