A George Boyd header condemned the Swans to a 16th defeat of the season at the KC Stadium - leaving them just six points above the drop zone.
Monk says his focus is not solely on steering a course to safety, but on changing attitudes in South Wales and turning Swansea into a side that are difficult to beat - as that will inevitably deliver points.
"I don't even care about that, I care about winning games - winning as many as possible," he said on the basement battle.
"If you aren't winning, you make sure you aren't losing. We're trying to teach that lesson now to the players since we came in here. If you have bad periods, if you have a bad game, you do all you can to not lose that game.
"Today, for their goal, we didn't do that and that's what has cost us. It could be a different game if that doesn't go in, but I can only talk about what we've seen. It's disappointing, but we have to go again next week."
Monk was critical of Swansea's defending for the goal, with Liam Rosenior allowed to wriggle clear down the right and cross for Boyd to rise above a static Angel Rangel and power a header past Michel Vorm.
He added on the Swans' performance: "Not what I expected. Second half we were marginally the better team, pushed a little bit and were better than we were in the first half, but we didn't create enough.
"I think both teams had a couple of chances early on - Michel's save (from Shane Long) was a very good save - but their goal from our point of view is poor - poor defending on the build-up to it and very poor defending on the back post. You can't defend like that. It's too easy.
"Did we do enough? Maybe to get a draw, but I can't grumble."
Monk is now looking for his troops to prove over the final five games of the season that they are deserving of a standing among the Premier League elite.
He said: "All week I was talking to the boys about consistency. The best teams in this league, the best teams in the top leagues, are consistently performing. To be good players, and to be known as a good player, you have to be consistent.
"Unfortunately, throughout the season, we've been far too inconsistent. It's cost us at times."