I have a previous comment on this site about reading. That is actually what I look for, intellectual curiosity and a desire to continue learning and growing.
I'll just quote myself:
""" What I look for in a developer: READS BOOKS. ( Audio books count )
That's the only thing. I'm sorry, if you are not reading and studying to keep up, you are getting left behind. There are so many brilliant people writing amazing books on a huge array of subjects. If I could get every one of my developers to read ONE book on software design[0] a year, I would die happy and the entire industry would be 10 years ahead.
They don't even have to be technical books. I just want to see intellectual curiosity and a commitment to self improvement.
- 0: In the vein of Clean Architecture, The Pragmatic Programmer, The Mythical Man Month, Designing Data-Intensive Applications, The Google SRE book, etc """
But how would you know that? I thought I was a pretty decent programmer when I started college - I had been programming since I was 5! But a five-year engineering degree gave me some much-needed structure around the things I already knew, and filled massive gaps in knowledge I didn't even know I had.
If you find learning in a structured environment fun and can get someone else to pay for it, a masters may be right for you :)