The appeals court did not rule on whether the surveillance violated the U.S. Constitution.
The second link has a ton of links. The first one is only referring to a preliminary injunction; i.e., it found that "there's a good chance the plaintiff will win", but did not find in favor of the plaintiff. As far as I can tell, all the other links there are about the same ruling.
The third link is talking about that same ruling, again:
A federal judge said Monday that he believes the government's once-secret collection of domestic phone records is unconstitutional
Emphasis on believes; that was not a judicial finding that the government violated the constitution.
He didn't even order the government to stop:
However, he put off enforcing his order barring the government from collecting the information, pending an appeal by the government.
What happened on appeal? http://www.cadc.uscourts.gov/internet/opinions.nsf/ED64DC482..., or a more readable summary here http://www.bloomberg.com/news/articles/2015-08-28/u-s-appeal... and http://www.ibtimes.com/nsa-phone-surveillance-ruling-reverse...