I recently came across this line in a handy little book I have, A Dictionary of Latin Words and Phrases:
qui docet discit
he who teaches learns.
It stuck with me. One of my current jobs involves note-taking for education classes, and it is heartening that some of the professors teaching these courses are so passionate and enthusiastic for their subjects, and so encouraging of these soon-to-be-teachers to broaden their minds and be open to learning from their own students.
There is so much knowledge and information out there, and so many differing perspectives and opinions. Through teaching, we have this wonderful opportunity to brush up on our own skills and learn from our students (and their unique perspectives) as well.
Teaching isn't a one-way street. There is always so much more for us to learn from one another.
qui docet discit.