I think you might like to watch this YouTube Video on "How The Best Hackers Learn Their Craft"(https://www.youtube.com/watch?v=6vj96QetfTg). David Brumley speaks about his experience with getting students integrated but the skill grid he shows might be what you're looking for.
At some points, it is just getting to the answer no matter the method (algorithm, memory, quick trick etc.) At the end of the day, it's still just problem solving and learning existing tools better.
At some points, it is just getting to the answer no matter the method (algorithm, memory, quick trick etc.) At the end of the day, it's still just problem solving and learning existing tools better.