Mathematics is a way of looking at the world, a language for understanding and expressing measurable relationships inherent in our experience. A child is led to abstract ideas and relationships by dealing with the concrete. The child’s mind has already been awakened to mathematical ideas through the sensorial experiences. The child has seen the distinctions of distance, dimension, graduation, identity, similarity and sequence and will now be introduced to the functions and operations of numbers.
Geometry, algebra and arithmetic are connected in the Montessori method as they are in life. For instance the golden bead material highlights the numerical, geometrical and dimensional relationships within the decimal system. Through concrete material the child learns to add, subtract, multiply and divide and gradually comes to understand many abstract mathematical concepts with ease and joy.