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Montessori believed that a child’s mind was mathematical and based on the order and perceptual awareness found in the development of the senses. The acquisition of mathematical principles is seen as developing logically from concrete to abstract and simple to complex. The child  who has mastered the basic concepts involved with the Practical  Life and Sensorial materials progresses naturally to the beginning Math activities.
The Montessori Math includes the development of concepts such as numeration, place value, fractions, and the basic operations of addition, subtraction, multiplication, and division.