I've seen articles about one of the mining pools double spending.  Can someone explain what that means?

I was having the same problem and saw on another forum that you have to add a leading 0 to the amount.  Ex: Use 0.05 instead of .05

I'm not sure if OP still needs this info, but maybe someone in the future will need it.  In which case, HELLO FUTURE CONFUSED BTC-E USERS!

I see people talking about paper wallets as a way to store bitcoins securely.  Does this just mean that your wallet info is physically written down on a piece of paper and put somewhere safe?  Or is there more to it than the terminology might suggest? 

Any info or links you might have to help me understand this better would be appreciated.  I'm trying to figure out how to make my information the most secure before I get any further into this.