Mythological anecdotes of Ganesha's elephant head makes him easy to identify, worshipped as the lord of beginnings and as the lord of obstacles, the patron of arts and sciences, and the god of intellect and wisdom.
Once there was a competition between Ganesha and his brother as to see who could circle the 3 words fastest, and win the fruit of knowledge. Skanda went off on a journey to cover the three worlds while Ganesha simply circumambulated his parents. When asked why he did so, he answered that his parents Shiva and Parvati constituted the three worlds and was thus given the fruit of knowledge.
Many stories, which explain how Ganesha obtained his Elephant head. Often, the origin of this particular attribute is to be found in the same anecdotes which tell about his birth. The stories also reveal the origins of the enormous popularity of his cult. Devotees sometimes interpret his elephant head as indicating intelligence, discriminative power, fidelity, or other attributes thought to be had by elephants. The large elephant ears are said to denote wisdom and the ability to listen to people who seek help.