We have two definitions for annealing. The first is "heating the steel to nonmagnetic then letting it slowly cool down as to soften the steel". The second definition is "the proper stance for asking the wife to allow us to buy more bladesmithing tools". :grin:
Seriously, from my experience both will work but the mapp will get you there quicker. Try this. Dig a hole in you backyard. Start a fire or get some charcoal going with one of the torches. Set some of the burning charcoal inside of the hole. Put your file on top and hit it with the mapp torch until it glows red. At this point, you test the steel to see when it turns non-magnetic. You do this by putting a file in a set of pliers or vise grips and then touching the magnet with it. When the steel is hot enough, it will cease to attract the magnet. That's when you know the steel has reached non-magnetic state. I would keep it at non-magnetic for just a little bit longer (for good measure) - just make sure you don't overheat the blade. Now, put the rest of your burning coals on top until it's buried in a good 4 inches plus of charcoal, then leave it there for the night. In the morning, it should be annealed. I basically do the same process, just in my charcoal forge. Any questions, just shoot me a pm.
Tim