I created Math3ma in early 2015 as an aid in transitioning from undergraduate-level to graduate-level mathematics.

Try to ask one question at as many seminars as possible, either during the talk, or privately afterwards. The act of trying to formulating an interesting question (for you, not the speaker!) is a worthwhile exercise, and can focus the mind. ​ The reason for this phenomenon is that mathematics is so rich and infinite that it is impossible to learn it systematically, and if you wait to master one topic before moving on to the next, you'll never get anywhere.

Learning starts with metacognition, and in order to metacognify (it’s a word) well, your students need you to be transparent in your pedagogical choices. ​ Be honest with yourself about how much time you spend working and how much time you need to work.