In class, I think I work on the bottom layer a lot, and I only periodically go over strategies and cues from problems. I think I overly rely on my students to work on the top two layers on their own (falsely deemed "intuition"), which is unrealistic and is contributing to their not-so-great mock exam scores. Now that I have in my head a visual representation of these various skills, maybe I can better communicate it to my students and emphasize strategies for building each layer. I made the diagram in a pyramid form because I think the bottom layer is more broad, as in it can later be applied to a variety of situations and problems, versus the top layer is specific to the problem you are looking at / working with.
What do you think? Do you agree with this mental model? Do you think it helps to clarify strategies for teaching problem-solving? (Do you think it's "obvious"? Sorry, but the obvious things are usually unfortunately either not obvious to me, or they're so obvious that I don't really execute them effectively because I just don't see them. sigh)