I would give the teacher 2 weeks of pay, but the stopping would be immediate. Some teachers don't take the news well. Don't subject your kid to that.

We paid our private music teacher monthly so I finished out the month before stopping. But I let her know at the beginning of the month that we would be ending lessons.

You don't have to give notice beyond a week. "This Thursday will be Stefania's last piano lesson."

Agree, one month.

I gave our in-home music teacher a month's pay in lieu of notice. We really didn't want her back.

And I based this on a) common curtesy and the standard time required by the official music schools like International School of Music or Levine. When you sign their contracts they require a month's notice. You can pay and attend or pay and not attend.

Reflecting over the holidays,I've decided that our child just doesn't have time to practice and heart just isn't in it. How many weeks notice/payment would you give? We started this school year, not a long term relationship, but I don't know how much she depends on these lessons for income, so I want to be as fair as possible.