In one (Graham Wheeler) the idea seems to be to re-aerate the wort but drop it off the yeast head and trub - rousing and re-aerating the yeast.
Another (e.g. Horden Hillbilly's page a http://uk-homebrew.tripod.com/id24.html) is to NOT aerate but transfer carefully.

I've transferred following the latter - after 36 hours when fermentation was still VERY active but since transferring it's now very slow and no yeast head has re-formed. Is this a 'stuck' fermentation? It's in a fermentation bucket with a lot of head room and an air lock fitted so I wouldn't expect quite as rapid bubbling as in the carboy it was in before with a much smaller head space but seems very quiet.
So - what are the rationales behind each approach to dropping and any advice? IS it a good idea or are stuck fermentations a high risk? (I'm using safale-04 BTW and have read NOT to re-aerate this one e.g. Chris x-1's advice here at: viewtopic.php?f=2&t=24296&p=269609&hili ... te#p269609)
Furthermore how can you assess a stuck fermentation - take samples off and check hydrometer readings or dump sterilised hydrometer in bucket and open lid regularly to check? First seems to mean losing quite a bit of beer, latter seems to risk infection!