The simplest way to exercise your abdomen is the good, old fashioned “crunch”. Lying on your back, bend your knees to roughly right angles. Fold your hands on your chest, and slowly raise your head, then lower it back down. Be sure to use your stomach muscles specifically – the best way to do this is to intentionally flatten your back before you begin the crunch. Make a conscious effort to touch your back down to the floor one vertabrae at a time, like a scorpion unfolding.
When you want to work the sides of your abdomen, perform the same exercise with your legs bent sideways, so they lie flat on the floor, first to one side, then the other.