They're called rice paddys.
They are called wet-rice farming.
a "paddy" is the correct term
In Asia, Rice grows in paddies. These are flooded fields.
Rice Paddy http://en.wikipedia.org/wiki/Paddy_field
Its called terrace farming. Sometimes, not always, the terraces are flooded as paddy fields for growing rice, especially in the East.
Rice is grown in paddies, or paddy fields.
A flooded field where rice is grown is called a 'paddy'.
The Nile river flooded the fields in Egypt.
It grows best in alluvial clay soil , which can retain water and moisture. Rice is cultivated in specially irrigated or flooded paddy fields.
a Paddy
Rice