These date from 2002, the date of my last lessons!
Practice octave scales, on each hand, with the thumb only; and the little finger only; that gives the scales clean "edges." i.e. each finger should be able to do its job perfectly when isolated. This almost immediately cleaned up my octave scales.
Look over a piece of music before you start reading it, see where the highest and lowest notes will be, look for any key or tempo changes. (I realized that I would just start playing "blindly," try to figure out the time signature in the first couple of bars, glance back as I went to see what key it was in and exactly what sharps and flats there were

-- !!)
Emphasize dynamics and contrast! "Now, as you play it, it sounds like a watercolor wash. Do you understand what I mean by that?" Yes, perfectly.
Have fun and tell a story. ("Petit Ane Blanc" by Ibert.) "You can hear him clipping and clopping down the street, and now he's braying, eee-yaaa!" (I sat on the piano bench feeling like an overgrown 9-year-old as she was talking, but yes, it made sense.)
Psychological aspects of performance. OUCH!!! My weak point! One day I showed up for a lesson, having learned a piece (can't remember what) and ready to play it-- but with a certain defensive mood of "You can stand and stare at my fingers the whole time, I am not going to make a single mistake." To my surprise, she sat down in an armchair and said, "Just play. For the pleasure of the audience. Forget that I'm a teacher-- I just want to hear something beautiful." She sat back with her eyes closed and a faint smile on her face, waiting... I was flummoxed... felt like she had pinpointed the single thing that I did not "get" about that piece. All I remember is playing with a feeling of intense strain and difficulty and even anger-- she had just taken away my main motivation for playing the piece!
(I tried to explain my reaction to her later, but she seemed to think I was angry with her... she was very sensitive and took it personally, I think!)
We ended our lessons shortly afterwards, for other reasons. We have remained friends, but every time in the intervening years that I have mentioned piano, or sight-reading, she makes some oblique comment and avoids the subject. Before, she was actively suggesting that I have lessons with her.
Later, her husband told me (as I was fishing for some information), that she had said I was a "problematic" performer, and I wanted to play for myself, not for others.

It was a sad lesson and I am not sure how much I can change to be a more "generous" performer but it did make me realize that aspect of performing-- that music is something you share with the audience, not just a showcase of "how good you are."