Animisha My full question was: "What happens the next day when you practise again a passage that you practised yesterday? Do you see an improvement? "
I will answer this. Again, I've worked with these concepts for quite a while, and it took time to "get" some of the aspects.
Two elements are (i) 'practice' (the goals you're practising toward and how), (ii) improvement - what that means.
The goal in the short, focused practice sessions are reachable goals. You're not practising to "not make mistakes", which is a negative, or to "play correctly" or "play well" which are too broad and undefined. It's specific - these few bars, and what you're aiming for in those bars. A lot of my own goals are physical because of how I started and the debris still being cleared away.
Recently I worked on a two-measure passage in a Chopin etude that goes to my weaknesses. These two measures are an anomaly in the piece. In a flurry of 16th notes, the top of each set of 4 notes has to be loud, the others soft. My RH middle finger kept being too loud - because I was leaning on it to jump to the pinky , it turned out. So I invented an alternate rhythm, found better ways to use the hand, and practised that. My concept of pedal was wrong, so that was an isolated practice in the mini-sessions.
The broader goal, then, was to aim for a final tempo that wouldn't be what professionals can do (that's for another time), and to be able to play those two measures acceptably at that tempo. The SMALLER goals were to
(1) get the pedal timing right
(2) get the emphasized notes above the quiet notes - within the alternate rhythm
(3) on another day, can I do this with a normal rhythm
There were subgoals under those goals.
So to answer the question with that in mind:
"What happens the next day when you practise again a passage that you practised yesterday? Do you see an improvement? "
Yes, from one day to the next, these smallish and concrete goals were there for me the next day, to build on. The package contains all of that.
Since I record results often I can actually show this literally.
September 30 - rhythm, so as to solve the problem of pounding out the wrong notes (the previous day, not recorded, those other notes were way too loud. - 2 measures - the pedal timing was wrong however (to fix next day)
https://www.dropbox.com/scl/fi/bfb32bn23xd8xwrtq37i7/24.09.30-oceansTrial.mp3?rlkey=ol6etk5w36zd4d2d5m13lbfw1&st=vbzz2hhq&dl=0
October 1 - change pedal choices; when I went to practise this, what I had done the day before was "there for me", and I could build on it. RH alone - then HT added. The LH starts lagging in the 2nd half.
https://www.dropbox.com/scl/fi/1humky9rrnt6sjmqpjs0b/24.10.01-Oc-again.mp3?rlkey=x5yxuol2ghfh6t7pzkkc5go25&st=vt0kyvpx&dl=0
October 2 - trying to apply this to normal rhythm. I could not get it quite at the same tempo as the rhythm-practice, but a fair bit faster when first testing this, and without middle notes blasting out. Solved the LH lag in that practice session, by looking to why & addressing it.
https://www.dropbox.com/scl/fi/unu8hs9jeu44k9hz7cbcd/24.10.03-Oc-that-section.mp3?rlkey=tuvqep1d8gx9njdnyd8kbcsne&st=x0jbxab9&dl=0
So over the course of three days, each day the thing I aimed for the previous day was there for me the next day and had gelled. Each day I could build on those things. It involved only 2 measures, and a difficult (for me) spot. By pure chance I happen to have recordings three days in a row.