Are cycle lanes one way with the direction of traffic by default?

I was driving down a stretch of street with a cycle lane on the left of the road. I needed to turn left across the cycle lane so checked for cyclists riding with the flow of traffic (i.e. to the left and behind me) but then was quite surprised to find one heading straight towards me against the flow of traffic. No actual harm done, though mutual expressions of shock and surprise were exchanged.

I know there are some two way cycle lanes, but was under the impression that these were specially marked and everything else is only one-way, with the flow of traffic. 

This was on Rongotai Road in Kilbirnie, Wellington if anyone knows the area. It's a two way street, though has massive traffic islands/berms in the middle of the street separating the traffic in each direction. Both directions have their own cycleways.