You're referring to the ceramic top stoves right?
The top lifts up on ours (whole top, metal frame, controls on back splash and all...) , to give access to the burner elements and other things. You do have to remove a bunch of screws to lift it (and you need a prop rod to hold it up.) Once lifted you can then repair elements, thermostats etc. Each element usually has a thermostat to prevent over heating and these do fail. We had a burner that would only get slightly warm and it was the thermostat that had failed.