A good way to retain mathematical understanding?

What is a good way to remember math concepts/definitions and commit them to long term memory?

Background:

In my current situation, I’m at an undergraduate institution where I have to take a lot of core classes and easy math classes because there are no higher level courses available. Therefore, I have to study math on my own. It worked out fairly well, but I have a big problem when there’s a lapse in my studying. For example, in February, I was working on transfer college applications, so I was unable to study math. Right now, I have less than a month left in school, so I need to work on all my term papers. It seems that when I take these extended breaks from studying math, like 2+ weeks, I have trouble going back, and occasionally I have to re learn a lot of the material. Previously, I was able to understand the definitions, theorems, etc and solve some of the exercises. Now, I need to look back on the definitions to understand what I wrote down! It’s frustrating that I’m regressing in my mathematical education when I’m not actually studying math.

Answer

Teach.

Seriously it is absolutely the number one way to learn.

Attribution
Source : Link , Question Author : 010110111 , Answer Author : JP McCarthy

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