14/11/2025
ELEMENTARY ARITHMETIC, DECIMAL SYSTEM
The decimal system is the foundation on which we rely to sort numerical quantities. Its introduction into our world, which dates back to the Arabs in the Middle Ages, is an aid to calculation so ingenious that it enables us, including children, to count large quantities. Calculation is nothing more than abbreviated counting. As in all work of simplification, the key lies in the greater degree of clarity achieved. Simplicity and clarity are the very qualities needed to bring facts within the reach of the child. Therefore, the first step should be to provide children with the construction of the decimal system itself rather than to count or calculate, because these two things are achieved with easy procedures offered by the decimal system….
…Making the decimal system accessible to children by means of a material is something that is feasible in practice and of such evident simplicity that the decimal system can be converted into a little game suitable for a child. Naturally what the child is offered is certainly not a toy but an exact material for study, capable of helping him to overcome all the difficulties that are encountered by children in the regular school, where they are taught to count and calculate based on the decimal system without being proffered any explanation of the principles on which that system is founded. Page 11-14 from the book psychoarithmetic https://montessori-pierson.com/products/psychoarithmetic-vol-20; https://montessori-pierson.com/products/psicoaritmetica-vol-18