The mathematics curriculum introduces mathematics concepts, number theory, and computation through the use of Montessori materials. Hands-on learning makes abstract concepts clear and concrete. Materials proceed through several levels of abstraction until the student grasps them conceptually. The Great Lesson "The Story of Numbers" familiarizes students with the history of numbers, its importance and influence in the evolution of civilization, and its place as the foundation for the mathematical and geometrical systems used today.

All aspects of language are integrated into all areas of the curriculum. In the lower elementary classroom, the focus is on reading fluency, writing, and oral expression. The Great Lesson "The Story of Language" familiarizes students with the history of symbolic language, its importance in the evolution of civilization, and its use as a means of communication. At the upper elementary level, the study of language builds on reading fluency and foundational writing skills and expands to the comprehension of texts. Written expression is a continued emphasis.

Montessori’s Cosmic Education fuses the study of geological history, physical geography, and earth/natural sciences. Lessons satisfy the child’s need to understand relationships, cause/effect, associations, and morality while utilizing the imagination and sparking curiosity and interest.

Based on hands-on inquiry, the focus is on scientific language and principles. Students spend more time focused on the details of the natural world as well as the processes and issues of science: the study of life, laws, and structure of the universe, and how humanity has struggled throughout history to put our understanding to practical use. Students explore science through lessons, demonstrations, experiences, experiments, and independent research.

The study of geography has two basic aims. The first is to help children develop a clear sense of spatial orientation, and the second is to become aware of and accepting of other cultures. Geography is introduced through oral lessons with tactile materials to allow repetition. In Montessori education, we begin with the big picture and gradually move to details like the names of rivers and mountains. The framework is based upon our relationship to the earth and how humans meet their basic needs under varying conditions.

History is shared through stories based on the contributions of all of humanity. Students receive lessons on the concept and passage of time, as well as how it relates to the earth and the different cultures living on it. The children start with how the world began and cooled, the formation of the atmosphere and oceans, and the emergence of life. Lessons satisfy the child’s need to understand relationships, cause/effect, associations, and morality while utilizing the imagination and sparking curiosity and interest. 

Students are in an intellectual period for reason; they are concerned with the role of society, morality, and social interaction. They are still sensitive to the use of the imagination, but maturity results in more advanced thinking, research, and interest. Geography is tied to both the history and science curricula and serves as a bridge to the development of the child’s understanding and appreciation of the story of humankind and nature.

The purposeful work of practical life helps children develop and refine a strong and realistic sense of independence and self-reliance. Activities at this level focus on care of self, care of the environment and living things, cooperation, and continued practice of grace and courtesy. Activities become experiences and exposure that allow them to learn to navigate and respond effectively in life. Students feel a greater sensitivity to their surroundings, so activities begin to take the children outside of the classroom