I am new to thebworld of music and I am experiencing it thru my 6 year old daughter. She started piano 4 months ago and I think she is showing great progress.
She can identify each note, but what I noticed is that she does not use the music sheet. She plays it all from her memory. The teacher will play it for her and she can reproduce it very well.
She started with kids songs, then she heard Ode to Joy, and she wanted to play it. She played that using both her left and right hand at the Christmas recital plus two carols.
Now, she is working on Musette by Bach, she heard it watching Little Einsteins. The teacher says she believes she could do it, and she is proving me she can! After a week she can play the beginning part very well, though not as fast as some YouTube videos I've seen.
To me, it is amazing! But I'm sure all the parents are amazed by their own kids

I am wondering if it's good to skip steps in learning piano and jump to harder pieces? I don't know much about piano, and the teacher says she is really good, and she will take her as fast as she can go.
Is there such thing as too fast?
What is the normal progression when you learn piano?
Any thoughts, ideas or comments will be greatly appreciated.