The Montessori mathematic materials are concrete and provide children the sensorial impressions of quantities, numbers, combinations of numbers and mathematical operations. Math activities include 1 to 10 sequences, quantity, numeral names, combinations of ten and teens, introduction to the decimal system, and the operations of addition, multiplication, subtraction, and division. Children explore fractional equivalences and the fractional names with manipulative materials.
Working with a wide variety of concrete math materials gives sensorial impression and tangible experiences to the children. Certain materials such as square chains and cube chains help them to gain visual and tactile impressions to explore and internalize the concepts of squaring, square root, cubing, and cube root, preparing them for more complex mathematical operations. This practical application of sensory-based learning is the most significant factor that helps children develops their mathematical minds at an early age.