ID aquatic plants please and a questin or two

What are those real tiny floating leaves you usually see floatin gon
and arund aquatic plants in gadren centers. Its like a light green
single or tiny double leaf abaout 1/8 inch in diam....and has a hair
like root Usually you see the water full of it. They may have a pair
of leaves now that I think of it.


Also what are those small tiney plants that has three clusters of
leaves of three on each floating plant, and these also ave extremely
small but a darker green. One garden center sells ther single leaf
floating plants by the teaspoonful, while the other garden center says
to skim off all you want and get it out of here as its a pest, but the
fellow cold not remember what the name of these plants were.

How do you propagate sensitive vine. I assume its possible to just
cut a piece and it will float and grow due to its hanging root system
and it being a floater........how does it winter over in the lower
south area, my pond has never ever had ice on it and rarely get a
frost. but temp does dip into low 30's or upper 20's on occassion.
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