TITLE: Still struggling with proofs.
QUESTION [5 upvotes]: How do you construct rigorous math proofs on your own? Also how do you verify? I am finishing up my first semester of undergraduate analysis and still am struggling with writing proofs. Even though I am getting an A, I just do not feel confident that I can clearly write proofs on my own.

REPLY [3 votes]: Further to what's been said above, your textbooks are a good source of verifiable proofs.  If you stop every time you reach a proposition, Lemma or Theorem in the textbook and attempt to prove it yourself before reading on, you not only get practice at constructing proofs, but you have an "ideal" answer to look at afterwards.
You won't get all of them; sometimes a proof depends on a clever idea that is obvious when you see it but hard to think of on your own.  However, (good) textbooks tend to provide you with the concepts needed for each proof in a constructive manner so you should get enough of them to not lose confidence.
And don't think that the textbook gives the only proof either; there are often many ways to prove a fact (look at the variety of answers questions on this site get, for example).