Title: I just graduated out of high school and I want to learn loads of stuff in math, but there's a problem. I don't get it. Where I live it is expected of me to mindlessly crunch questions and output solutions by rote#. Practice is an important part of learning anything, and I know that I have to put my hours in. However, I <i>need</i> to understand why I am doing what I am doing.<p>Proofs of key concepts are like magic to me. I can follow the logic, but I cannot derive them on my own without seeing them before hand. I know that I lack understanding somewhere down the line, but I don't know where. Moreover, I don't know how to cure it.<p>I don't want to just rote up stuff. I want to appreciate the beauty of what I am learning, but I simply don't know how.<p>Any suggestions?<p>Thank you in advance.<p># Most teachers tell me to practice in order to memorize "problem solving techniques". I don't want to do that. I want to see the logic on my own, follow it through and think about what I am solving. I want to <i>see</i> stuff for what it is, and engage it on that basis.
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