First, I placed the cuttings into a sealed plastic bag with a moist paper towel, and left them in the refrigerator for a few weeks. Then I pulled them out, wrapped each individual cutting in a moist paper towel, put them back in the bag, and placed them on a warm seed-starting mat. The seed-starting mat isn't necessary, but I thought the cuttings might root faster with a little extra warmth. Besides, it was pretty chilly, and I thought it couldn't hurt. After a week I could see the beginnings of root initials, and after two weeks the roots were growing through the paper towels.
At this stage the roots are very very fragile, and I accidentally broke off several while I was trying to delicately remove them from the paper towels. I potted all the cuttings in half-gallon pots with a moist peat moss-perlite mix (don't use potting soil with fertilizer pre-mixed into it), and placed plastic bags over the pots to keep the humidity high. It must have done the trick, because some of the cuttings kept right on putting out roots directly into the air! I had never seen anything like it. I removed the plastic bags and the aerial roots quickly dried up and fell off. o keep the cuttings growing until spring, I took them all up to my office and placed them next to a sunny window. All have since put on some leaves, and it looks like they're very happy there. There are even roots poking out the bottoms of the pots.
It amazes me that I started with six dead-looking sticks on December 1st, and now I've got six young fig trees in less than two months. I'm very excited to have stumbled across this simple method. Last week I took somewhere between 30-40 cuttings from seven varieties of fig trees (Alma, BA-1, Celeste, LSU Gold, LSU Purple, Osborne Prolific, and Petite Negra), and I plan on rooting them all this way. By late March, I should have 30-40 young fig trees to share.