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The material is not designed for math education until the elementary years of Montessori education. In the primary levels (ages 3-6), it is used as sensorial material. It is an indirect preparation for mathematics, especially for the cube root.
In a playgroup, parents and caregivers stay to interact with the other adults and to play with the children. No child is too young for playgroup. All children from 0–5 years, including babies, love new experiences and benefit from developing sensory, social and communication skills through activities at playgroup.
Sensory refinement—from birth to around 4 years old; Order—from around 1 to 3 years old; Interest in small objects—from around 18 months to 3 years old; Acquisition of language—from birth to around 6 years old; Finally, Montessori observed in children from three to six years old a psychological state she termed "normalization."
Children engage in nonverbal calculation at early ages; however the transition from nonverbal to verbal calculation does not take place until approximately five and half years of age (Mix, Huttenlocher, & Levine, 2002). Therefore, preschool children, including those entering kindergarten, should have a sense of quantitative reasoning.
Circle time provides a time for listening, developing attention span, promoting oral communication, and learning new concepts and skills. It is a time for auditory memory, sensory experiences, socialization, and a time for fun. Circle time can be a complex, dynamic interaction among adults, children, and resources used.
A leading activity is conceptualized as joint, social action with adults and/or peers that is oriented toward the external world. In the course of the leading activity, children develop new mental processes and motivations, which "outgrow" their current activity and provide the basis for the transition to a new leading activity (Kozulin, Gindis, Ageyev, & Miller 2003: 7).