We begin with manipulatives, then slowly lead into abstract concepts. Mathematics is the science of numbers. Montessori mathematics focuses on numeration, the decimal system, and geometry.
Our base ten system encourages the child to sequence and order his work. Beginning with numbers 1-10, 11-99, and 1-1000, the children learn linear counting and recognition of numerals, which then leads into addition, subtraction, multiplication and division concepts.
This is done through fun activities which involve lots of movement, manipulatives and group work. As the child matures, individual work is encouraged and abstract learning begins to take place.