Continuity mistake: When Eric is suggesting to Mr. Feeny that they go out and look for women, some shots show Feeny gripping his wine glass, while other shots show his hands down on the table with the glass several inches away.
Continuity mistake: When Mr. Timmer picks up the mini vase, just before Cory tells him to put it down, you can see he is the only one touching it. When the shot changes, Mr. Timmer and his wife are both holding onto it. Cory also instantly has his left arm raised and index finger pointed at the Timmers.
Continuity mistake: When the bartender fills up the mug of root beer, after the foam settles, the mug is a little more than half full. When Mr. Feeny hands the mug to Eric, it is suddenly filled closer to the top.
Continuity mistake: When the bartender fills up the mug with root beer, the foam has instantly settled when the shot changes.
Chosen answer: In the present day, with the United States abiding by more stricter school health laws, for the most part this wouldn't be in school cafeterias as many cannot even have carbonated beverage machines now. However, in the 90s when the show takes place, it wasn't unheard of for there to be coffee machines in the cafeteria of small schools where the teachers eat with the students as we see them do often in the show. The idea being that the cafeteria was small enough so a teacher or hall monitor could catch a student before they could drink the coffee.