I have a unique way of studying that seems to work well for me, but I’m curious if it’s a good long-term strategy.
Whenever I start a new topic in physics or math, instead of diving into the theory or derivations, I first skim through a variety of solved problems to get a sense of the types of questions typically asked. I take notes on the key concepts and methods I encounter, focusing on recognizing patterns across different problems.
Once I’ve built a mental “map” of the topic through problem-solving, I attempt unsolved problems using my notes and keep adding new observations as I go. By the end, I feel confident about most question types and can solve them quickly. After that, I might revisit the theory with a sense of curiosity, wanting to understand the “why” behind the formulas and patterns I’ve observed.
This approach has helped me become faster at solving problems compared to my peers. However, I sometimes worry that I might miss out on deeper conceptual understanding, especially for rare, extremely challenging problems.
The reason I lean toward this method is that I tend to forget theoretical details over time, but problem-solving strategies stick with me much longer. It feels like I develop an intuitive “second brain” for tackling problems.
So, is this a valid way to study? Or should I switch to the more conventional approach of learning theory first and then solving problems?
If it works, it works. Not sure what level of math and physics we are talking about here, but university mathematics usually doesnt have “problems” in the common sense. Sure, there are going to be questions on the exam which you can solve using the theory or by remembering similar questions. But, upcoming topics are going to heavily rely on the theory, not on the applied methods for problem-solving. So you might start having problems there. But again, if your system still works for that, who cares.
Also, if you are aiming to become a Doctor / Professor / stay at university, youre going to need to remember the theory. Pretty sure there wont be a way around it.