Here are my two cents. I first learned the cube in "seven steps" but when my friend broke it down to me it sure seemed like quite a bit more than seven, but I guess if you were to group it up, he was correct.
First off, I'd like to say when explaining "displacement" that miniGOINGS mentions, if you can find an incredible way to have viewers understand this, this would probably be the single handed most beneificial step to helping people understand the cube.
Solving the cross - as most beginners tuts show, orient the pieces then permute them respectively. I really like this because the two "algorithms" you would use are not only quite intuivite (when explored), but one of them sets you right up for the LL edge orientation. I'm talking about the RUR'U' trigger. If you have two adjacent solved edges, and two adjacent unsolved edges, RUR'U'. The other case is the M2 D2 M2 type case, which is quite intuitive when actually shown and the concept is grasped.
I actually learned the keyhole method, but I was actually uknown to that until 3 years after learning to cube (I never really looked up tutorials online, only tried to get better at the method I knew + learn OLL and PLL).
Anyway, three corners. This is where the "displacement" effect really comes in handy when explained correctly. From my experience teaching people, it takes a little bit to get them to understand just why you have to move things out of the way.
Solving the second layer edges was shown to me in a very intuitive manner. I picked up on this rather quick, and after some trial and error most of the people I've shown understood it rather quick.
Last layer, I think your F RUR'U' F' and f RUR'U' f' algs to orient the LL edges are great. I honestly didn't know that until I watched your videos (I honestly think your cube tuts were the first I paid much attention to because I was going for speedcubing this summer and found yours before many others, so thanks!) I used to use M' U M U2 M' U M which worked for either no edges oriented or the adjacent edges oriented. Once I saw your easy triggers I absolutely fell in love. Since the trigger is so easy to learn, and not to mention kind of from the first step (if shown correctly), it can be almost a native inclusion into this instead of a completely new algoirthm (which is what we're shooting for, right?)
Orienting the corners: I learned Sune but again at the time had no idea it was called that. I learned the hard way. Keep doing Sune until you get everything right. I believe the Sune Pathway gif shown here will be quite useful to your new tut depending on how you implement things
Permuting the corners: I really don't know of an "easy" way to describe how I learned it. I learned algs very similar that Erik Akkersdijk uses, except I have a cube rotation in mine almost every time, and do the same alg but with my right hand doing RU'R instead of R'UR'.
Permuting the edges: This is what I find also easy. You can use the same algorithm but consider it more of a setup move, then a swap, then an undo for the setup move. That would be as follows (assuming it's a U perm): Place solved side in the left hand while of course having the edges in the U layer. You do R2 then a U or U' (depending on which side has the cubie/sticker with the OPPOSITE color) then an S' U2 S, then move U to realign it with the bottom layer, and another R2. Obviously the U move would be another U or U' whichever you did in the first place.
I feel that the Edge Permutation algorithm is quite easy to remember since you only have to remember R2 U/U' then S' U2 S, U/U' R2. It's something easily remembered after 3 or fewer attempts for most people.
I was dumbfounded when a buddy I showed at work picked this up in one hour. The entire thing. These algorithms (and no not the F ruru trig F', but the M/U one), and solved. I was completely shocked by it.
Again, just my two cents. I honestly felt the way I learned was VERY intuitive and I loved seeing how it worked. I will admit when I show people this way most of the people it takes a little bit to understand it but in general it's not too bad. It takes my average "student" a week or so, and if they work at it a lot on their own, usually a few days if even that. The deal is that most of the people I end up showing they are lazy, hah.
Not to bump an almost 2 month old thread, but once I saw badmephisto was redoing a tut, I had to add my two cents. And I just made this forum account this morning so back up off me
