Mystery Succulent Dropping Leaves!

I picked up this plant along with a few other succulentLearn how to grow and care for succulent plants at Houseplant411.coms, but I don’t have a clue what it is.

A little while ago, most of the leaves along the vines turned brown and dropped off, and it looks like roots are growing (in the air) where the leaves were. There’s a ton of new growth at the base, so I think it’s still healthy, but I have no idea if this behavior is normal. The remaining leaves on the longer vines are very fragile, and break off if touched.

Any help would be appreciated!