I wonder if there should be a distinction between memorization and intuition. The author alludes to the fact that if you can build an intuition to the fact that daylight savings time was right in the middle of world War 1, then you can remember more easily that it was in 1916.
I have found that I cannot remember certain mathematical properties at all. For instance I always forget whether to use sin or cos to get the x component or y component. But, I had a few teachers force us to memorize the fundamentals: SOH, CAH, TOA. Using the fundamentals allows me to prove to myself very quickly what I should use. It's the same thing with the quadratic formula. I can never remember it, but I had a calculus teacher show us how the equation is derived. I can remember what a parabola is, and I also remember the fundamentals of calculus. Using these two things I can derive the quadratic formula pretty easily.
So I wonder if there's a 2nd metric that we're missing. Where we need to memorize fundamentals, and critically think about how to use those fundamentals. I don't know, this could just be more anecdata though :)
I have found that I cannot remember certain mathematical properties at all. For instance I always forget whether to use sin or cos to get the x component or y component. But, I had a few teachers force us to memorize the fundamentals: SOH, CAH, TOA. Using the fundamentals allows me to prove to myself very quickly what I should use. It's the same thing with the quadratic formula. I can never remember it, but I had a calculus teacher show us how the equation is derived. I can remember what a parabola is, and I also remember the fundamentals of calculus. Using these two things I can derive the quadratic formula pretty easily.
So I wonder if there's a 2nd metric that we're missing. Where we need to memorize fundamentals, and critically think about how to use those fundamentals. I don't know, this could just be more anecdata though :)