One prime example of the best play being different from what looks like the best (gut feeling wise) can be found here:
AKs River Decision
This one is also by GoT, The Dude is his roomate and it was actually GoT who played the hand. The two links I have provided here were the ones that made me understand that you need BOTH gut feeling and math to suceed at poker. You first use your gut feeling to break down the villains holdings, then use math to make the right decision. I think this concept is very important to understand, as you can't always break it down to a pot odds vs out problem, and merely applying gut feeling to a final decision is not sufficient.