Jean Piaget's cognitive development theory outlines four stages of intellectual growth in children: sensory-motor (0-2 years), preoperational (2-7 years), concrete operational (7-11 years), and formal operational (11-15 years). Piaget emphasized that children develop cognitive structures, or 'schemas', which evolve through processes of assimilation and accommodation. His research highlighted the importance of these stages in understanding how children think, learn, and interact with their environment.