With 11 national titles, UCLA has the record for the most NCAA Men's Division I Basketball Championships; John Wooden coached UCLA to 10 of its 11 titles.rior to expanding from 65 to 68 teams, the two lowest seeded teams played in the NCAA Men's Division I Basketball Opening Round game. Both the single Opening Round game and the current First Four games have been played at the University of Dayton Arena in Dayton, Ohio.