I say just list it! Any job experience is important to most employers...

From my point of view, it should not be listed since it doesn't significantly indicate your teaching skills. And they may also doubt whether you will continue your part time job if they give you the offer.

It actually worked against me. Apply for a public school I wouldn't. They said to me, oh you can't have a part time if you work for us.

See what you're actually doing is raising awareness that you do this kind of thing. Best not to say anything, then you can find and do your own part time jobs in your own private time.

Mention it in the cover letter. 

If its relevant than put it.  They're not going to report you for having worked part time.   If the experience is relevant I say put it.

I would say DON"T list it. Because they will think you'll work at out rival companies and be tired the next day. Im an HR, I always reject resumes with PT jobs on it. PSB won't even glance at it because It's only a requirement.

Don't list your private tutoring/part-time jobs, this sounds unprofessional and reflects the lack of experience. You may mention them during your interview.

never put on the resume, you run the risk that the school submits it to the psp with visa documents or simply at an audit or review of teachers.

if you admit working on your resume somewhere that the psp has no record on foreign certificate, you have by your own admission , broke the law and can be fined.

"I know that technically any part time job is "illegal"'! Yeah I'm pretty sure you are screwed if  you think it is that's why part time jobs are illegal around the world you can only have a full time job.....lol! Are you serious??