Jean Piaget's theory of cognitive development proposed that children progress through four distinct stages as their mental abilities develop. The stages are: sensorimotor (birth to age 2), preoperational (ages 2 to 7), concrete operational (ages 7 to 11), and formal operational (ages 11 to adulthood). At each stage, children construct knowledge through assimilation and accommodation as they interact with their environment. Piaget's theory emphasizes that children are active learners and understanding their cognitive abilities at each stage is important for teaching methods and materials.