What is the best way to pop popcorn on the stove?
Use a large heavy-bottomed pot (idealy 3-4 quart size) and place it over medium to medium-high heat until you can hold your hand about 6 inches above the bottom surface and feel the heat radiating off it.  At that point add about 1-2 tablespoons of vegetable oil to the pan, tilting to coat the bottom evenly.  Drop in a kernel or two and cover.  When the kernels pop, quickly add in the remaining, cover and shake the pan on the heat to keep the unpopped kernels on the bottom where they'll heat the best.  Cook and shake until the popping stops.

In order to have enough volume for the popped corn, you'll need to do it in batches of about 1/2 cup of popcorn kernels at a time if you're doing a large amount.