I am feeling terrible about myself right now. I am feeling much more worthless than I have all summer. Those who see me around know I very rarely have things to be mopey about, but this is one of those things.
I've been going back and taking the extra exams that I didn't take for whatever reason at time (there were a few of these but not many) on my online math curriculum to wrap up everything I needed to do in math for my junior year (I should be finished in a few days). Tonight I finished up an exam about rational/radical equations, absolute value inequalities, compound inequalities and all of the previous items in conjuction, in addition to other associated rulesets. It was an open book test -- I had whatever old lesson was relevant's notes and sample problems open, in addition to a calculator and my notebook and graph paper.
Less than halfway through the test it dawned upon me, as I was reading sample problems from an old lesson: I don't understand any of this. My grades were good on the stuff at the time, but now, going back, all it is is an elaborate set of rules and abstractions that increases exponentially unto itself, and I had forgotten all of it. It didn't matter how well I understood it at the time. I realized all I was really doing was churning out the next correct answer. I didn't learn anything, and since I had literally no outlet to practice those things (which might I add were not touched upon for the rest of my curriculum), I just lost them over the rest of the schoolyear and the summer.
In the end, I got a 20%. Twenty percent on my test. I'm not afraid to admit it, I really did do my best. And I'm not worried about the spot on my imaginary high school report card, either, because the rest of my grades have been pretty good. What concerns me most is the fact that I really didn't learn anything much from those lessons. Is it supposed to be this way? Am I just stupid? Is there something I didn't do right? I really, really wanted to believe I was fit to be a mathematician. But if I can just lose a whole set of math concepts so easily, and then find them entirely incomprehensible when I go back and try to re-learn them quickly, maybe I'm not cut out for math in general. In fact, I'm not any better at geometry.
In the end, it's nobodies fault but my own. But I still feel like there was something else entirely I could have done better, I just don't know what.