What to declare when flying to US

[benjitravels 0]

Hi everyone, I'm currently a green card holder since Dec 2014 and I am a Canadian citizen too. I've been traveling every 6 months to the US (to see my parents, interviews) and I'm moving this fall for graduate studies. I've been entering the US, like I always have pre-GC, with just my Canadian passport. Should I be presenting my GC too? Is this going to be an issue when I try to enter this fall to move and present my GC? Do they not have my travel history to US on file even if I didn't present my GC? If I should have been presenting my GC and I haven't and they miraculously let me in, would things like this cause an issue when I apply for citizenship 5+ years down the line?

Thanks!!

[Unidentified 2,930]

Why would you not present your green card when you enter the US? you're a green card holder, show green card and passport.