I need to compile a relatively short "Crash Course" in high school mathematics packet, whose aim is to be a quick learning guide for academic competition (think Aca-dec) for students with mixed mathematical backgrounds.
I know (to some degree) what topics I want to cover in the crash course, but I am not sure what format would be the most useful for learning large amounts in short times (these are meant for prep in about two weeks)*. I was thinking of doing a "Problem-Solution-Explanation" (Henceforth PSE), in order to let the reader become the most accustomed to the Problem-Solution format of the competition. However, I know in standard pedagogical writing this is bad form, and intuition helps solidify concepts more than PSE, and so I am not sure.
*I know from a pedagogical standpoint this is nowhere near the most useful methodology, and I would love to write a whole textbook intuitively explaining high school math, but in this case it is what is necessary.