All too often Elementary Montessori guides/teachers will say that they need to teach a child to complete a math process abstractly. I must confess that this always confuses me a bit. When the math materials are used consistently and in their entirety children naturally begin to complete mathematical equations without the use of materials. Take a look…
This child was never asked to work on multiplication in her head. Instead, as she was using the FBF she realized that she was understood it enough to try it “in her head” (abstractly). This is exactly what we hope to see as Montessori teachers!
While this is only one process, it is a great example. In my experience, the materials allow for this type of independent transfer with all operations. ;D