If someone in your group has figured out a dominant strategy for a particular game, it can be worth evaluating if there are strategies which can specifically counter it. In the matter of Tzolk'in in particular, there are at least four major strategies available, and well documented:
Tzolk'in is also helped in that you can play it online, to practice— basically, execute the dominant strategy and see if it does as well online as it does in your particular group. See: http://en.boardgamearena.com/#!gamepanel?game=tzolkin