My personal drive for self-teaching generally stems from either a specific problem I’m trying to solve on a project or a desire to dig deep into something “cool” I’ve come across.

In the first case, I’m tugging on the strings that seem most likely to get me to the solution to the problem I’m trying to solve. There’s a bit of backtracking here and there as I choose dead end paths, but it’s usually a depth first traversal. I’m not trying to learn all of a field, I’m just looking at what I need to know to move past the hurdle I’ve encountered.

In the second case, the goal is different but the process is pretty similar. When I’m learning for fun there is usually a bit more breadth, since I’m not trying to solve a specific problem in the immediate future, but I’m also probably not building a robust implementation of anything. I’ll usually end up with a decent surface level understanding of a topic; this is useful in that, if I encounter a related problem in my work, I’ve got at least the concept in my mental toolbox already and can do a deep dive more easily.

Over time I’ve built up a pretty wide and deep understanding of a lot of things as I’ve built them, but I am also fully aware there a ton of gaps (and have a big topic list that I occasionally visit during a slow period).