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Do we have to start memorizing after we learn the whole piece completely? ( with looking at sheet music )

or

Do we have to learn and memorize the piece at the same time and finish up everything at once ?

that is the question i struggle with it for a long time...

memorizing while learning takes too much time sometimes i learn the whole piece measure by measure until i can perform the whole piece with looking at sheet music at the right tempo and after i start memorizing.

but looking at the sheet music while playing broke my concentrate so much that i feel like i have to start memorize the piece but memorizing the piece that you already know is very tedious to me it's like learning the piece again for second time.

so i decide to memorize the piece while i learn at the same time but this time you're not very familiar to the piece from all aspects and you can't bring the music with ease. it's like carrying two people on your back instead of one and it is exhausting

maybe this is a paradox or something like that how can i solve this problem which way i have to learn a new piece from scratch?

I don't think that one can generalize about the learning and memorization process. Some memorize as they are working on a piece, others make an effort to memorize after "learning the notes."

Each of us should find the way that works best for us and even that may change as we develop our memorization skills.

Depending upon circumstances and situations, memorizing is not necessarily a requirement, so I don't understand your comment about whether we "have to" memorize. I do a considerable amount of performing at an amateur level and I often do not memorize a piece completely. Many pieces I perform are at a point where they are "almost memorized," but I do need the score to keep me on track for those sections where memorization is not yet solid.

Have you tried memorizing short and relatively easy pieces? Doing so may help you decide which of your two suggested methods works better for you.

Regards,

Whenever you memorize, it's always a good idea to follow the score some of the time when practicing a memorized piece, because invariably there are details (dynamics, articulations, ritards etc.) that get forgotten.

there are times i have to perform the piece from memory a lot and i don't carry the book with me ( sheet music ) so i must memorize to perform. these are spontaneous moments that people want me to play some pieces at school or at other places so without preperation i sit down and play some piano for them memorization is necessity for me