As a physics student, I’m taught over and over again that science is about checking to see where we have made incorrect assumptions. The goal of science is to correct our assumptions about the world, and find better descriptions for what is going on. Of course, this is a distilled version of the goal of science (and I imagine some would disagree), but my point is that science aims to perform a consistency check on our hypotheses and ideas.
If you look at a typical mathematics class, you will find that they follow a similar rhythm. First, students are presented with a definition. A few examples of how that definition applies might be given, and then the rest of the class is spent proving results based on this definition.
A cornerstone of physics and mathematics is the process of labeling. If you want to learn any subject, you need to get familiar with the jargon of the field. In physics, terms like “work”, “resistance”, “capacitance”, “energy”, “potential”, and many more have precise meanings. Likewise, the terms “function”, “continuous”, and “one-to-one” have precise meanings in mathematics.
When you first start learning the subject, it’s easy to be overwhelmed by the sheer number of terms. By the time you remember one term, several more have been introduced. Frankly, it can be frustrating and can ultimately turn you off from the subject.