When first learning a new piece, it is essential to accurately read the notes, rhythm and develop a general feel for the overall concept of the piece. Student should form correct first impressions, because mistakes learned early are difficult to eradicate, and may cause problems in a performance.
Here is the correct memorization procedures :
1) Slow and careful practice
2) Attention to tempo, phrasing, dynamics, pedal, fingering
3) Learning the form of the piece
4) Developing the correct kinesthetic (muscular) relax necessary for a secure performance
5) Understanding the harmonic structure of the piece
6) Mental practice
7) Playing one hand and miming the other
James W.Bastien, How to Teach Piano Successfully, (Neil A. Kjos Music Company San Diego, California, 1995)