I am learning to solve the 2x2x2 faster and smoother. Why? Because Josiah got a 2x2x2 for his birthday and he is into speed.
The method I am learning is Ortega. Not the fastest, but potentially very fast indeed. And of course, I have deviated a bit from the Ortega method because I already know an F Perm algorithm, so why learn the T Perm? Although it would probably be good for Josiah to learn it for later use on the 3x3x3. And when there are 4 matches I can use the 2 match algorithm twice instead of learning the Y Perm. Again it would probably be better for Josiah to learn the Y Perm.
I might just mention that the Ortega Method for the 3x3x3 is simply a Corners First Method. So I can incorporate and practice what I am learning when solving a 3x3x3 corners first.