Final answer:
Infants typically engage in eye-hand coordination while in the sensorimotor substage, which lasts from birth to about 2 years of age. This is a crucial period for cognitive development, where infants learn through their senses and motor behavior.
Step-by-step explanation:
When infants begin to engage in eye-hand coordination, they are most likely in the sensorimotor substage of cognitive development, as outlined by Jean Piaget. This stage spans from birth to about 2 years old. During this period, infants progressively learn about the world through their senses and motor actions.
Around 4-8 months, infants start displaying better control over their grasp reflex, and they are able to coordinate their sight with hand movements, indicating that they have entered the sensorimotor substage where they reach for and explore objects. This development is critical for their cognitive growth, allowing them to build an understanding of object permanence, the concept that things continue to exist even if they can no longer be seen or heard.
Without a doubt, the sensorimotor stage plays a vital role in an infant's early development, enabling them to lay the foundations for future learning and interaction with their environment.