Question 524491: for someone who is seriously struggling in proofs,(and i have met with multiple tutors about this so i am trying), is there anything i can do to help myself OTHER THAN JUST DOING ALOT OF THEM....
Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! They always say "practice makes perfect."
If I were you, I would look at some examples of proofs and ask myself, "Why must this always be true?" Then I would try some (or many) on my own. Note that proofs are not found exclusively in geometry courses; they come up in every branch of mathematics. Therefore you could try proving theorems from other areas of mathematics as well.
Above all, don't get scared! I see many students (including myself, sometimes) attempt to prove a question or theorem that they have never seen before, and shudder in fear, having absolutely no idea what to do (as a note, this happened to me when I had to prove that, in triangle ABC, tan B tan C = 3 if and only if the Euler line is parallel to BC).
In this case, you want to really sink your teeth into the problem: read word by word, draw pictures or diagrams, use whatever techniques are necessary. This enabled me to prove the Euler line problem in about half an hour.
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