[Sentis]

I believe the spoon is nothing more than a filmakers clue as to the reality that Zion isn't. Because he is given the spoon in Zion I saw it as this type of clue nothing more. If the child that could bend the spoon sent it to Neo it means that child is now in Zion. If the child now realizes that Zion is not the real world what better symbol to send Neo than a spoon.

[Texaggie79]

I agree that the child could use the spoon for that very reason, however, it just seemed more than coincidence that it was sent as Neo was headed off to enter back into the Matrix, as if to say "Remember, when you get back into the Matrix, the spoon isn't real."