I have almost no luck rooting cuttings of anything, but I found that the easiest way to root xmas cactus (or T.giving cactus or whatever you call it) is to simply stick a piece in a shallow glass of water. I take a piece with maybe 3 segments, put it in the bottom of a water glass and just put in enough water to come halfway up the first (bottom) segment. Any deeper and it might rot. Just put it in a warm place out of direct sunshine and wait. You'll see roots in a couple of weeks. Don't let it dry out. Once it has roots a couple inches long, pot it up. Good luck!
