I am currently in an internship part-time, and I want to be more useful in the workplace.
There are only two person team that I am working with (my supervisor and her assistant).
In previous internships, my site supervisors usually had a specific task list that they wanted me to perform (i.e., filing and forwarding mail, assisting clients with inquiries, attending meetings and produce memos, reviewing documents, etc.) on a daily basis and for major projects. Additionally, I was expected to shadow my supervisors during specific meetings between staff, the community, and other personnel.
However, at my new internship site, there is little to no direction on what tasks they want me to complete or performance goals they want me to reach.
I have asked questions and made suggestions like:
"Is there an area or project that is a priority?"
"I've completed this task, would you like me to start on something else?"
"I noticed that "X,Y,Z" is incomplete, I could assist with that."
"I would be interested to learn more about "X,Y,Z is there an area I could help with?"
I do not want to offend my site supervisor or have the impression that I am questioning her authority but are there ways that I can ask/bring up the need for more detailed duties during my internship?