We do Montessori at home, but we don't try to be a full Montessori school at home. What that means, is that some things, like the rugs, I don't worry about. We have rugs, but rugs are mainly supposed to show the boundaries between one's work space and another's work space. In the home setting, the child has free reign of work space without having to worry about 20 other kids. :lol: It just wasn't a battle I wanted to fight. I do require they put one thing away before starting something else, and I usually have to keep modeling that for the girls.
As for the supplies being out all the time--we do have some work integrated into our main living areas. But, we also have a toddler in the house, and most Montessori things are very small. We have a special area that we use as our classroom so that all the small parts are confined to one area of the house (where I can watch the toddler closely). They're out all the time, but DD never goes down there alone, so it's not like she's using it all the time. We have worked in "school time" into our daily routine though.
As for doing things a certain way--I give a lesson on a work, and then observe as DD does it. If she doesn't do it the way it was intended to be, I don't correct it that day (Montessori believed that adults correcting a child's work de-motivates them to work, or changes their motivation from internal to external--instead of working for their own good, they work to please the adult). Instead, I just give the lesson again the next day, emphasizing the area that needed work from the day before.