What does the term 'internalization' refer to in Montessori Mathematics?

In Montessori Mathematics, the term 'internalization' refers specifically to the process of developing a deep understanding of mathematical concepts. This involves not just the ability to perform calculations or memorize facts, but rather grasping the underlying principles that govern mathematical operations and relationships.

When students internalize mathematical concepts, they are able to move beyond rote learning to a place where they can apply their understanding flexibly in different contexts. This deep level of understanding assists them in solving new problems and making connections between various mathematical ideas. Internalization is a key goal in the Montessori approach because it cultivates independent thinkers who are capable of reasoning and problem-solving, rather than simply recalling information.

Memorization of mathematical tables and calculating answers without guidance pertain to less critical aspects of learning, as they do not foster a comprehensive understanding of math concepts. Learning through imitation may be a valuable aspect of the learning process, but it does not encapsulate the full depth of internalization as it relates to understanding mathematical concepts.