>I am mostly counting the number of sharps and flats and translating that to the keyboard through a pattern I figured out early on. The sharps “activate” from left to right across the groups of black notes, starting with F♯, alternating between the two groups of black notes. This is easier to get into your fingers than any other memorisation technique. The order for flats is mechanically symmetrical – you just start from the right and move left, again from the “first” note in the group of three, which in that case is B♭. I am still not quite sure how other people are learning this, since most of the materials I’ve seen have focused on learning the actual names by rote, using mnemonics like “Father Charles Goes Down And Ends Battle”

Is this what self-taught looks like? I have never heard of that mnemonic and it was never hard to learn the order of sharps/flats in a key signature. You just look at the way it's written on the staff - two lines of sharps a 4th apart going up progressively, two lines of flats a 4th apart going down progressively.

I don't want to discourage the guy, but practicing every day for 4 years straight and he's only gotten to 60bpm... there are better methods to learn piano sight reading.

When you don't start with music theory (which took many centuries to develop) you end up with lots of things that work but not as well.

You don't have to learn music theory yourself, so long as theory is something someone knew in the past to design how you learn. What matters is that you learn the useful patterns, why those patterns are useful is not something you need to know (except if you are trying to break the rules - understanding the rules means you understand what happens when you break them and thus can come up with good breakages instead of unmusical noise)

"I am still not quite sure how other people are learning this..."

We practice our scales through the circle of fifths. I don't really follow what they mean by "activates" at F#.

If this is getting the author to play and they're having fun, then that's great. But having a great teacher is invaluable, particularly when you're trying to lay down the fundamentals. It's going to be more difficult to unlearn bad habits in the future.

60bpm of random notes!

  >> This is easier to get
  >> into your fingers than 
  >> any other memorisation 
  >> technique.

Four years playing the piano is still a beginner level of experience against an adult standard of piano playing. Even if it is a lot for an eight year old child.