QUOTE(SueHM @ Nov 4 2009, 04:47 PM)

One of my favourite things to do in lessons is to dismantle my piano(s!) and have a chat abut the innards and muck about with harmonics and strings and things. Could you find a piano somewhere and get your pupils together for a proper demonstration one of these days?
I agree. And also, if you're not entirely sure yourself, best have a look.
Firstly, before explaining the pedals, the student needs to understand how sound is produced, i.e. Once a key is depressed, the hammer hits the string, while the damper is simultaneously lifted from it. This allows the strings to vibrate. Then when the key is released, the hammer and damper both return to their original positions, the damper stopping the vibrations.
The loudness of a note depends on the speed of key, that is, how quickly the key is depressed and therefore how quickly the hammer strikes the string.
So, for pedalling (with the sostenuto pedal), when the keys are released, the dampers are held away from the strings, so the vibration continues. Also, the sostenuto pedal releases the damper for each of the notes, not just the one(s) you've played, so the whole piano is free to resonate, not just the one note: therefore you get a richer (some people say louder) tone.
The soft pedal on an upright piano works by moving the hammers closer to the strings, so they effectively have less of an impact when they hit the strings.
But of course, on a digital piano, none of that happens!