To me, this underscores notion that schools continue to test for the wrong thing. With the exception of professions/trades that require impulse application of knowledge, I don't know why I would want/need someone to memorize a concept in order to apply it. Productive members of our society/workforce think critically, they ask good questions, and they research and leverage the information at their disposal to make dat…
Memorization is absolutely crucial to getting good at math. In fact, I don't think there's any other way to get good at math besides memorization and doing problems, over and over and over again. It's rote, sure, but it has tremendous value. If you think you understand something, but can't actually solve problems without referencing anything, you don't actually understand it.
If you think you understand some mathematical rule, but can only show 100 problems from memory, you don't actually understand it that well. If you can convincingly show why no counterexample exists, then you understand it in the strongest possible way.