I'm taking a course right now on Mexican-American history and we've been discussing ancient Mesoamerica. The professor has been teaching some extremely questionable things with little to no critical thinking involved. One of those things is that the Mayan calendar was more accurate than the one we use today. I feel like that's obviously not right considering we use atomic clocks to measure leap-seconds, but I thought maybe in some specific way or interpretation it could be true. I followed the source given in our textbook and all I could find was more people repeating the factoid with no explanation.

So is there any way that that could be interpreted that's true? How about what I consider the more interesting questions of what made it uniquely accurate at the time, and did Europeans learn anything from the Maya about time keeping?