Enlightenment Education for Two-Year-Old Babies – How to Cultivate Your Baby\’s Cognitive Ability After your baby reaches the age of two, his body and brain have developed better, and he is in an important period of cognition and discovery of abilities. Babies during this period are more curious about outside things and the environment. So how to help babies develop good cognitive abilities? 1. Tell a lot of stories. Babies have already developed very strong language understanding ability at the age of two and can understand simple stories.