Proofs, not my cup of tea

The course have finally started gearing us towards proofs. Every class after the first midterm was so far about doing different proofs using different methods. I find that these lectures are much more engaging than the lectures before we started proofs, because the professor Heap always asked us to do the proofs on our own for a minute or so and compare them to our neighbors. I honestly love this style of teaching because it let me have time to digest the material without being pressured to take notes and it also gives me an excuse for me to talk to people that I always wanted to talk to but was too shy to!

Proofs are not so much about understanding the concept as it is coming up with ideas on the spot. It is true that proofs have a predefined structure that we must follow and how fluent one can build this structure depends on how much one practices. However, it also requires the proofer to be creative, because there are a lot things out there in the world that are not obvious to prove, like for example the geometric mean is always smaller than the arithmetic mean of two numbers.

At this point though, I am confused about why we are doing proofs in this course. I mean, it is certainly mathematical, but it doesn't have as much association to symbol as what we did before. I guess I will wait and see.