Ivan Sproule's goal separated the sides and stretched County's unbeaten run to seven games, moving them up to eighth in the Scottish Premier League, just three points off third-placed Inverness.
"I'm delighted with the progress we're making," Adams said. "We've had a very good season so far, closed the gap between ourselves and the teams in the top half of the table, and we've moved ourselves 21 points ahead of Dundee.
"We're three points off Inverness, who have had a terrific season and we have had nearly the same number of clean sheets as Celtic. We're up there.
"You always start from the back. George Graham will tell you that from his time at Arsenal in the 1980s and 1990s.
"Listen, we've come from the Second Division to the Premier League and these things don't happen overnight. We've been working for five years.
"We've had five years of continuity and a team we've had to build year on year.
"This is not a new thing it's a thing that has been moving along. Nobody should be surprised."