I'm trying to post one science problem every day, along with a possible line of thought or solution afterward. The goal is not to solve it quickly or perfectly, but to learn through struggle, especially when the topic is unfamiliar.
This is problem-based learning, or productive failure. Instead of learning concepts first and applying them later, the problem comes first and you start by exploring possible approaches, even if they are incomplete or wrong.
Take 15 to 30 minutes, a pen, and a sheet of paper, and see how far you can get on your own, without looking anything up. Even when something feels completely unfamiliar, or the language itself seems like a barrier, simple assumptions and careful reasoning can still take you a surprisingly long way. The moment your thinking runs out is often the moment learning begins. If the problem already feels familiar, try to work through the reasoning from simpler assumptions rather than relying on memory. It is what makes understanding more meaningful, sparks curiosity, and helps break away from the idea that learning must follow a linear path.
what matters is not knowing first, but seeing how far thinking can take you