QUOTE(hazel @ Feb 22 2008, 09:00 PM)

I thought the alternative slide positions were a bit like e.g alternative flute fingerings; you use them depending on what makes the note before and the note after easier to play. So on the trombone, if you had an F followed by the D that you mention, then you'd play them both in first position. But if the next note was a G flat, perhaps it would be easier to play the D in fourth- position, to make the transition to 5th easier?
The one he pencilled in is B,C,D,C so that would make sense. I'll go and look at the rest in more detail tomorrow.
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It is a bit odd that her teacher hasn't been through the piece with her and pencilled the others in - unless the one that is pencilled in is the only one that needs to be played in 1st pos'n (i.e. differently) and the others are supposed to be played in 4th- as she usually does?
He ran out of time in her lesson. (She had already had 40 minutes instead of 30) and she told me he had explained to her and even asked her if she was sure she would remember when she got home. (She remembers that much just not the vital bit

). I think, actually, that she is just used to me being able to explain things at home (cello is, for the time being, similar enough to violin for me to be able to work out most fingerings and bowings) and trombone until now has been rhythm problems (which again I can explain), so she didn't pay too much attention.
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Only guessing here based on my
very limited 
experience of my son's trombone playing; he is on a mission to learn to play all the notes from the chart at the back of the book, but has no desire to learn about note values or rhythm - hopefully an expert will be along soon to give us a better answer

Which book is he using? My daughter has drawn a circle round each note at the back of her tutor book as she has learnt them. This is her second piece of "real" music and she got the tutor book back out to draw a circle round the D in 4th position