Hydroculture is also called "passive hydroponics".
It is a method of growing plants without the use of soil.
Instead plants are grown in "absorbent aggregate" -
(or "little clay balls"). 
You simply keep an eye on the water
level by using a clear glass or plastic container
or a special hydroculture pot that comes with
a water level indicator. 

Amazingly plants will stop using their
"dirt roots" and start growing "water roots". 
In the conversion process, some plants will
go through a shock period and may loose some
or all of their leaves.  But I have yet to have one
plant not eventually come around and end up looking
healthier and more vigorous than before.

It has been very popular in Europe for over 45 years. 
I can see why - it's fun, plants are healthier, the "little clay balls"
can be reused, repotting is simple and there's no messy potting mix.

Real outdoor dirt is wonderful but indoor potting mixes
with their dry, hard to re-wet peat moss and
chemical fertilizers is not so wonderful!
Organic is available but very pricey and there is still
that nasty old peat moss you have to deal with. 

There is some work involved in converting.
You need to get all the dirt off the roots of your plant
before putting in the clay balls. 
This is really the biggest chore you will have.
Then you have to choose the right container.
Clear glass allows you to get pretty creative.
Plus, you will need to fertilize your plants
quite regularly with a hydroponic fertilizer.

The balls will anchor the roots
and you supply the nutrients.

Little clay balls solve the problem of over or under-
watering of plants.  This consistency of moisture is
especially appreciated by the more finicky plants -
especially orchids.  Growing orchids does not have
to be only for the "collector" or greenhouse owner!
Orchids already are in a mostly soilless mix.
They convert over with little to no stress at all.

I will have more detailed instructions here
in the near future.  For now, if you want to know more, 
a search on the Internet for "hydroculture"
will produce several good sites with
extensive detail on hydroculture.