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I wouldn't describe my mathematics background as shallow, because I'm currently excelling in my school's AP Calculus BC course. But at the same time I have to admit that I find mathematics here less than satisfying, because there has been almost no emphasis placed on proofing since geometry back in middle school. Should I be very knowledgeable of how to proof by the time I enter college? If so, where can I find resources to build this skill? I have checked my local library, but none of the mathematics books there help in this specific area.

Thank you for your time.