Using this phrase suggests a strong sense of self and a disregard for external validation or peer pressure. When they all went to the mall, I decided to do my own thing and read at home.
Pro Tip 2/3
Potential Disapproval
The phrase may sometimes imply doing something despite others' disapproval or lack of support. My parents wanted me to be a doctor, but I did my own thing and became an artist.
Pro Tip 3/3
Not Negative
Even though it shows independence, 'do your own thing' is usually not meant negatively or rebelliously. She's happy to let her kids do their own thing in the playground.