I am currently working on a Master's degree in mathematics and was recently offered a teaching assistant position for a graduate-level course that covers material I am really comfortable with.
My problem is that finding time to study is really limited and I am only considering this job if it would really help my future applications for a Ph.D. in mathematics, and would be a good point to have on my CV. Along with my courses, I am also working on my thesis and I don't want the quality of my work to be affected.
What are your experiences from the committee/applicant perspective? Do people usually have some teaching experience before going into a Ph.D.?
I understand that this might be a field-oriented question but all points of view are welcome.
Edit: This is about European applications for math Ph.D. programs.