How to Learn Efficiently
> <i>As an undergraduate student, I found that writing a summary of everything I had learned in a class was one of the best ways to study for an exam. I would just sit down with a blank piece of paper and try to summarize everything as precisely as possible. Ultimately, writing your own textbook would be a very effective way to learn the material.</i><p>Amen.<p>Back when I was tutoring a lot, I used to ask the students to keep a "master formula sheet" and continuously add formulas to it. In the final review session, I asked them to explain each math formula in plain English, e.g F=ma --> forces cause acceleration (and the acceleration produced by a force is inversely proportional to the mass of the object). I could immediately tell who understood the material and who was trying to get by on memorization.<p>Another useful exercise is to pretend you forgot your "formula sheet" and try to reproduce it from scratch. If you can't it means you're not solving enough problems---after solving 5-10 problems using a given formula, you start to remember it, and not as a string, but as an idea. You can forget a string; you can't forget an idea.