On: Ancient Survivors Could Redefine Sex

One question that's not well-answered in this article is how new bdelloid individuals are created. Do they bud like yeast? Do they lay eggs? Do they just cleave in two?

They lay unfertilized eggs. That's why they looked for a male that would fertilize the eggs, but didn't find one.

Adding slightly to ars' answer. The method of reproduction is called parthenogenesis. Here is the simple wiki entry:

http://simple.wikipedia.org/wiki/Parthenogenesis