Our toilet bowl will not flush. Water from the tank runs into the bowl however the bowl will not finish the flushing process. Also, air bubbles up into the bowl. By using a plunger we get rid of the water in the bowl. Any assistance would be appreciated as we are beside ourselves on this problem.

Your drain is partially blocked and it appears plunging isn't enough to break the clog loose. Buy/borrow a toilet auger and try rodding the toilet. If that fails we'll be lifting the toilet and aggressively rodding to the main.