Montessori’s extraordinary mathematical materials enable children to begin abstract concept formation as they develop operational thought.
During the three-year Children’s House program, children progress from Piaget’s “preoperational” stage of development into “concrete operations.” Montessori’s extraordinary mathematical materials enable children to begin abstract concept formation as they develop operational thought. Children use sensorial materials to isolate concepts such as size, form, weight, and volume, eventually internalizing the abstract concept each represents. The Practical Life materials help children develop the ability to concentrate on explicit sequences, and it helps them become confident in their ability to make judgments. These skills are essential to the construction of their mathematical mind.
The Mathematics curriculum for three to six year olds is organized around these objectives:
Introduction to geometric shapes and solids.
- Acquisition of the concepts of number and quantity, including zero.
- Development of number theory including counting sequences and odd/even numbers.
- Understanding place value.
- Development of a math vocabulary.
- Introduction to basic operations.
- Introduction to memorization of math facts.
- Data collection and representation.
- Mathematical problem solving.
- Understanding of measurable attributes.