Columbus trailed 1-0 for most the contest, but Dallas went down a man in the 63rd minute when Zach Loyd received a second caution for a foul on substitute Meram, and the Crew (3-4-2) took advantage.
Meram collected the ball in the 67th minute and fired a rising shot into the net for the equalizer, which broke a 263-minute scoreless streak for the Crew.
Columbus took the lead 5 minutes later when Miranda connected on a header from 20 yards out.
Fabian Castillo's first goal of the season in the 22nd minute had handed an early lead to Dallas (3-6-3), whose winless streak stretched to six straight.
Notable deaths of 2014 [PHOTOS]
Michael Sam cut from the Dallas Cowboys