This week we did more proofs. And in tutorial now we are doing more than just the proof structures. We are filling in the middle and actually formally proving them.
The tutorial exercises this week weren't that bad. I pretty much understood them, the only problem is I never know the next step in what to do. Once I see the answer, then I understand, but before that I never know how to get to the next step.
The last two questions seem fair as well. Just subbing in positive integers/positive real numbers will allow you to see which statement is correct out of the two.
We now began assignment 2. Yesterday I recieved great advice from my mentor (who's in 2nd year Computer Science). He said he would help me, and he helped me with a question, and then he told me to do the proof of it. He told me to suffer through it because that's how you truly learn. And then he left the room and said he wouldn't come back until I had solved the proof and proven it.
I did what he said and found it extremely hard to do. I sat staring at the proof for a long time, not knowing what to do for it. I tried different things, tackling the problem from different angles. I tried the "165 method to solving a problem" and looked at what the output of the proof should be, what I'm proving and where I want to go.
When he came back he asked me if I was tired, frusterated, wanting to give up, and I said yes. Then he said, "good, that's how you know you're learning."
And at that point I knew I truly had the greatest mentor.
I realized that teaching someone how to solve problems like this is ten 10x more valuable than helping someone solve the actual proof. This is the true method of helping someone learn.
After he left once again, he said "I'll give you ten more minutes."
And in the ten minutes I realized something. I realized that squaring the n and then doing algebra on it would create the q we needed in the problem. And then it came, all the steps after just flowed out of me and I got that rush of dopamine that the Prof was talking about in the first week. I got that high from the satisfaction of solving the problem.
I couldn't thank my mentor enough for this lesson. In life, you have to try really hard to get somewhere. And every day I wonder if Computer Science is for me, whether I'm doing the right thing being in this program which is extremely challenging for me.
I've always thought of myself as an "Artsy", a writer. A year earlier I never even thought I would be doing anything to do with math or logic.
But here I am now, suffering through it. I did it to challenge myself. And I know that if I succeed, if I manage to complete my degree and accomplish what I thought was the hardest thing for me to do, I will get the greatest rush of all, the greatest sense of satisfaction and accomplishment,
because to feel something you've never felt means to do something you've never done,
and to accomplish something you never thought you could is the greatest feeling of all.