As a frequent user of both types of boards in the past (teaching college classes), I can say that you also get dust from whiteboards, and it's the nasty grimy powder from the dry-erase markets.
I don't like whiteboards anyways, since as a lefty they are very difficult to use; if my hand even lightly glances over what I just wrote, it wipes off, whereas chalk is fairly tolerant.
That, and I've never gotten woozy from a chalkboard, whereas an afternoon spent entirely around whiteboards with uncapped markers will give you a pretty good buzz.
Richard W Kaszeta snipped-for-privacy@kaszeta.org