One thing I have noticed with the AMS geometry albums that I have seen - and please correct me if I am wrong! - is that they do not seem to use the geometry cabinet for the study of plane figures. This is the traditional starting point of geometry work in the 6-9 classroom.
During my training and studies one thing that really stuck a chord with me personally about the prepared environment was the idea of aesthetics.
|Upper Primary classroom courtesy of Lincolnshire Montessori|
"The child should live in an environment of beauty"- Dr Maria Montessori