Firstly, it is worth remembering that all the ab workouts in the world won't reduce belly fat. Energy is delivered to the muscles via the bloodstream, NOT from being absorbed from surrounding fat stores.
So the only reason to work the abs is to strengthen the relevant muscles. Doing some sort of cadio-like workout of the abdominal muscles is a waste of your time, as it won't reduce abdominal fat, and it's not challenging enough to strengthen those muscles. For cardio, you are better off using the large muscles in your legs, as it will burn more calories, and work your heart and lungs harder.
Also, the abdominals are only a few smaller muscles. To maintain balance in your muscles, you should be aiming to work most of the core muscles - especially the back. Exercises such as planks work a much broader range of muscles, and are a far more effective core exericse.
The reasonable man adapts himself to the world; the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable man.
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