The amount of information on the net on aquarium mosses is not vast but it's highly disorganised. That is why hobbyists often have difficulties finding the information they are looking for.
Anyway, to answer your 2 questions:
Although it's hard to tell the identity of a moss from just a picture; without one, it would be impossible. There are many species of mosses in Singapore. The one you found and are trying to grow now could be any one of them. I would suggest you take a look at this thread and see if your moss is similar to the ones there.
The professor is pretty sure that Cement Moss will never survive in our tanks for long. The professor is probably right but then again, we must understand that although the prof is an expert on mosses, he isn't quite as expert when it comes to growing them. I would say there is a fair chance Hyophila involuta can grow underwater but it will take a lot of patience and some tweaking of the water parameters.
Loh K L
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