To use or not to use mats for Montessori infant and toddler materials?

Should you use mats with your infant and or toddler Montessori activities? And what are the mats for, anyway? The reason for mats is to define the child's workspace, to let other children know not to walk on, over, or through another child's rug with work (materials) on it; or if children are sharing a table or sitting side-by-side, not to touch each other's activity... ideally.

A mat (or rug) also defines the workspace for the materials themselves so they "do not get out of hand" (pink tower blocks are strewn around the classroom!). Keep reading here at my sister blog! ~Lisa Nolan