Verified answer

In my opinion, the first is better because it is not as passive as the second.

i would also insert something between "taught me" and "to choose," since I assume that playing chess has taught you how to discern which is the best move to take, and not to take the best move (because this assumes you already knew what the best move was).

So maybe something like "Playing chess has taught me how to choose the best move..." or if you want to sound really pretentious, "Playing chess has taught me the appropriate fashion in which one chooses the best move when competing under pressure." Joke.

number 2

its more in depth