I'm writing this article because I used to practice very inefficiently at the piano. After doing a lot of research and tinkering with ideas, I feel I've come up with a pretty good approach to learning most piano pieces. For very advanced pieces, you probably need to come up with something on your own, but this should work for most beginner and intermediate pieces.
To start off, I feel it's important to begin memorizing right away. If there are any fast moments in the piece, you don't have time to be messing around looking up and down from the music. I've also found that memorizing right away makes the learning process go much faster. So how should you memorize? You should start hands separate at a normal pace. Let's say there are four beats in the measure. You could learn the first beat, then the second separately, then the third, and then the fourth. Once you have that down, you could then learn the first two beats together, then the second and third together, and then the third and fourth. Once this is done you will probably be able to play the whole measure. Now do the same with the other hand.
Once you have the measure down hands separate, you can put the hands together slowly. Go through the process again of learning one beat at a time, then two, and then the whole measure. Now you have one measure down! Don't worry if you can't play it at full speed yet hands together. This will come with time. Now you can repeat this method for the rest of the piece. You should then test your memorization by playing two measures at a time for all measures of the piece. You should ultimately get to the point where you could literally start at any measure of the piece and go from there. I really feel like memorization is a big key in learning a piece efficiently and well.

Comments
DerdriuMarrinerDec 14, 2021
Your links are helpful even as a product line would be useful for those who'd like to try out your suggestions.
In particular, I like your descriptions of hands separate, hands together and your respect for memorizing music. Memory, as in the case of oral-traditioned genealogy and storytelling, need not interfere with the performance. It in fact would help for those who suffer from pre-performance nervousness.