The 3 Teachings were Confucianism, Taoism and Buddhism, part of daily life in ancient China. A man might honor his ancestors by following Confucist rules of social behavior, attend a Buddhist pageant, and practice Taoist breathing exercises in the same day.
In ancient China, Confucianism was both a philosophy and a religion. It was the state-sponsored "religion" of many Chinese dynasties. It was the favorite philosophy of many Chinese rulers. People today still quote and study the many sayings and ideas that Confucius, the first private teacher in ancient China, taught to his students about 2,500 years ago.
Taoism is a philosophy. It's a way of thinking about things. Taoists are firm believers in joy and laughter.
Buddhism is a world religion. People who follow Buddha's teachings are called Buddhists. There are over 500 million Buddhists in the world. Buddhists value goodness, self-control, wisdom, calm, and love.