I just finished a blog post where I discuss things I’ve recently learned about how to read research papers. I almost included this as a point in that post, but I think it’s important enough to warrant its own article. Here’s the idea: you absolutely should not be reading the sections of a research paper in order. It took me a while to learn this one – I can’t remember if I first read this advice somewhere, if someone told it to me, or if I reverse-engineered it from advice I got about how to write papers.

Last summer, I spent a good chunk of my time doing an undergraduate research project during which I worked on a project largely by myself, under the supervision of a math professor. I then took a graduate level course in a related area this fall, where I investigated the theoretical underpinning behind my summer project. I had no idea what I was doing or what I had gotten myself into. As a result, I learned a lot, and tried to keep note of the various things I had learned.

If you’re a computer science student, you probably had to take an introductory discrete math course at some point. Did you enjoy it? If so, this talk probably isn’t for you, so you can feel free to skip the rest. (Or not – hopefully you feel like you can still learn something from me!) Jokes aside, it’s actually okay not to enjoy your intro to discrete math course: like, personally, I loved mine, but I also completely hated my discrete probability course and would prefer never to see it again. But I pick on discrete math because I feel like if it’s taught well, it can be a turning point for many people, and it certainly was for me.

I’ve long said that university education starts to make a lot more sense if you look at it as a precursor to academic training. Historically, there have really been two major types of undergraduate university training, in my opinion: there was the liberal arts type of education, which was meant to turn rich people into cultured members of society (several of whom then went on to pursue academic training and scholarly activities, because they were rich and could afford to do so), and the more specialized type, which is meant to make the student literate enough in the major foundational ideas of the field to pursue additional training at the graduate level.