The creature is unable to act normally. A dazed creature can take no actions, but has no penalty to AC.
A dazed condition typically lasts 1 round.
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A barbarian can end her rage as a free action and is fatigued after rage for a number of rounds equal to 2 times the number of rounds spent in the rage. A barbarian cannot enter a new rage while fatigued or exhausted but can otherwise enter rage multiple times during a single encounter or combat. If a barbarian falls unconscious, her rage immediately ends, placing her in peril of death.
When dazed, a barbarian does not stop raging. In fact, when it's the dazed barbarian's turn, he can't stop raging since it takes a free action and dazed denies the barbarian any action.
If the alloted rage rounds per day were up, then the dazed barbarian's rage would end.
So yeah, whether the barbarian is dazed or not, the number of rounds he can rage per day continues to count down.
I agree with GM Jeff.
The only things that ends the rage are unconsciousness/death, running out of rage rounds or voluntarily ending it as a free action.
Everything else would keep it running.
Perhaps not being able to end rage while dazed is RAW, or something vaguely resembling given an assumption, but it would be ridiculous to rule that is how it works, end of story.