How is writing approached in the primary classrooms in traditional Montessori?

My daughter just transitioned from a “Montessori-style” school, to a true Montessori school. She had been working on writing her name, recognizing numbers and letters, etc at her old school but I understand “worksheets” are not traditional. When we started, I asked the head of school how we can continue to build on her desire to write. She basically just told me not to work on it at home and to be patient as she will approach this when she’s ready. I need to follow up and essentially ask more about it, but just so I understand, how is this done usually once she does work on it? She’s worked with metal insets, done tracing, worked with sandpaper letters, and alongside that she worked on writing her name prior to this. I just don’t want her to lose the progress she was making but I don’t want to impede on the process of course. It’s also very hard for me as a parent to be told I can’t do anything to support her at home either.