Lord Ganesha (Ganapati), the prodigal son of Shiva and Parvati, is the most worshiped God. Before doing any auspicious work Ganesha must be worshiped. Before doing any pooja Ganesha pooja must be performed. He is the God who removes your obstacles. He is the embodiment of wisdom and worshiped by those seeking knowledge. In his various forms he is worshiped as Buddhi Ganapati for better knowledge, Vidya Gansha (Ganapati) for studies, Siddhi Ishwarya Ganapati for wealth, Sankata Nashana Ganapati to remove obstacles and difficulties etc. He is also the presiding Deity of Astrology.
The following are the most commonly performed Ganesha (Ganapati) poojas of the Vedic tradition
Siddha Ganesha Pooja
This is the standard common Ganesha Pooja for removing obstacles and generaly prosperity etc. and for starting any auspicious work. After pratisthana and shodasopacharas pooja is done with the astha dravyas and Ganesha Namavali.
The above pooja with 1008 Namavali japa plus 1008 Ganesha Moola mantra recital and Homa performed with 1/10 of the japa number, i.e., 108 Moolamantra recital during homa. Ends with poornahuti and shanti mantras. Ganesha pujan is done specifically in your name with your sankalpa or your wish.