As an educator, I have a slightly different take on the f-stop method. It's an excellent method used by a significant number of printers and having many benefits. However, I've worked with a vast range of students, ranging from post-graduates to secondary special needs children and I believe that the majority of beginners would find the f-stop method more difficult to understand than the time based method. Consequently, I teach the time based method to all beginners and only introduce the f-stop method as an option (or extension work) once the basic concepts are very firmly in place.
My argument is that it's always better to start with familiar concepts and to build upon them - introducing greater difficulty only when appropriate : Since most beginners have a better conception of slicing up time with a timer than they do of increasing/decreasing light output using apertures, I start with time.
For the same reason, I always talk about shutter speeds, when I'm introducing the camera, before I cover apertures and ISO...
So, in answer to the question. Yes, try the f-stop method by all means, but don't try it before you really know what you're doing in the darkroom using the time based method. Otherwise, attempting to use the f-stop too soon may serve to set you back.
Regards
Jerry