EACH member of the Dave Matthews Band tends to recall a moment in the early 1990's when he realized that the group's offbeat blend of jazz-style improvisations over high-revving world-beat rhythms had a good chance of making it big.
At the time, the band was a long way from stardom -- lacking even a home-recorded CD, driving an overstuffed red van and trailer to 200 shows a year at fraternity parties, beer bars and beach clubs around its home base in Charlottesville, Va., down through Georgia, and, occasionally, up to Manhattan.
For Dave Matthews, the puckish 31-year-old vocalist and leader of the quintet, the pivotal moment came in December 1993, after the group had driven snow-blind over a mountain road in the Berkshires, arriving two hours late for a show at Williams College.
''As we played, we realized that all the kids in this college were singing the words to our songs,'' he said. ''I asked, 'How in the world do you know the words?' They said, 'We've got tapes.' ''