Piaget's theory of cognitive development identifies four stages of development through which children progress: sensorimotor, preoperational, concrete operational, and formal operational. Each stage is characterized by developments in intelligence and thinking abilities. In the sensorimotor stage, from birth to age 2, children learn through physical interactions and motor activity without symbols. Between ages 2 to 7, the preoperational stage, children use symbols and language develops but thinking remains egocentric. During the concrete operational stage from 7 to 11 years old, children can logically manipulate symbols related to concrete objects. Finally, in the formal operational stage from 11 to 15 years old, children can logically use symbols related to abstract concepts.