Learning new topics or skills is a very good example, I had the same experience as you with Claude when I learned a new language.
I'm not a huge fan of prompt engineering or elaborate skills that are longer than a couple sentences. But you have to give the AI context. The more context the better
If a random person comes up and asks you a malformed question how do you answer? What's worse if what if the question is not actually malformed in some contexts and because you're a wizard that has massive amount of contextual information there are plenty of right answers for the 'wrong' question you just asked.
In schools classrooms tend to avoid unlimited exploration as it would take unlimited time. On your AI prompt the next thing you ask could be anything, anything at all. Just exactly how is the AI supposed to know if you're an idiot?
"Computers are useless. They can only give you answers." (he was not joking by the way)
Of course, if computers DO threaten to take over literally everything, then people are even more scared and react aggressively, as demonstrated in this 1939 article describing IBM's vocoders:
"The Pedro Peril" (the first AI that actually talked back was nicknamed Pedro, and described as "the latest and most fearful gadget from IBM", the journalist's conclusion was to suggest Pedro be deported as he would spread propaganda and maybe even become a dictator) (unsigned Washington Post editorial, 1939)
Here's Pedro in action: https://www.youtube.com/watch?v=0rAyrmm7vv0
I find it very easy to engage in a Socratic dialog with the AI. If I ask it, it will actually quiz me and carry on a tutoring session. And it doesn't mind if I ask dumb questions.
I've walked away from colleagues trying to explain things similarly because if you're not getting it after a few attempts you're going to hit a wall of their ability to explain, their patience, time, etc