On the television show Doomsday Preppers, season 4 episode 4, Back in the Dark Ages, a man claims that rice can be grown by digging out an area to fill with water, and then putting the seeds in mud balls to help them germinate and keep animals from eating them.
You can put rice seeds in Ziploc bags, with a napkins in it, then fill it with water.
Once they are sprouting you put them in a bucket or other larger waterproof container, then add in several inches of soil, covered with water. Always keep two inches of standing water in the bucket. When the rice turns golden brown, its time to harvest.