If my piano pupils in school miss 3 consecutive lessons without letting me know, or without a very good reason I assume they are no longer continuing and either delete them from the timetable, or write to the parents to say I assume their child no longer wants lessons as they are not attending. I also let the H of M know. Mind, I teach on a private basis in school, not employed by school or county music service. My advice would be to tell the Head of Music about this girl and ask him/her to have a quiet word with her. I assume you have had a serious chat with her yourself - and have told her how discourteous her behaviour is ? If you invoice the parents directly I would also let them know - after all it's a waste of their money to pay for lessons their child is not attending. On the other hand she may be having problems being able to come out of lessons to come to you, in which case the H of M needs to know so they can help sort it out.
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The same girl forgets either her book or her copy every week and this is getting on my nerves!!!!!! I can't do anything as she has no music so should I give her a lesson?
Yes. Make sure you have something you can do with any pupil who forgets their books - some aural work, sight reading, music games, theory - there are lots of things you can do.