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You need to know the subject you are discussing one layer deeper than you expect to talk about it. In other words you need to know the right answer and why the right answer is right and you should be able to explain why the right answer is right. You do not need to say everything you know -- it's usually better not to say everything you know on the subject, but it is necessary to know more than you plan to say so that you will feel confident.
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You don't need to know everything! If you are confident, it is ok to say "I don't know" or "It doesn't matter" (if it really doesn't matter). It is much better to admit you don't know than to bluff. If you don't know, and it does matter, say you'll look it up and then do it promptly.
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It is good to look in advance for trouble spots -- places where confusion, misunderstanding, etc. can arise. (See topic 5 -- famous misunderstandings)
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When you go over a problem in preparation for class, you should understand (a) the general principles on which the specific problem is based, not just the answer to that particular problem, and (b) how to get the answer. The process of getting there is just as important as the result. Remember you are trying to teach the students how to solve problems for themselves. (See topic 7 -- problem solving)
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Going to lectures is well worth it. It seems very time consuming, but it is much faster than learning all the material on your own, and it is the best way to find out the lecturer's strengths, weaknesses and emphases.
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