Research Papers Shouldn’t Be Read in Order; or, How to Read a Research Paper

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.
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Research Reflections: On Reading (Math and Math-Adjacent) Academic 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.
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How to Watch a Technical Research Talk (or Workshop, or Tutorial) Recording (and Make the Most of It)

When I’m trying to approach a highly specialized topic for the first time, one of my tactics is to find a recording of a research-geared workshop about it and watch it as my introductory crash course. The benefits of this are as follows: I am learning about the subject from (hopefully) a credible expert in the field. Workshops and talks usually try to be self-contained, which means basic background info will likely be given and I won’t have to pore through 10 different research papers, searching for an obscure definition, in vain.
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