A method of boil and boil-dry detection for cooking appliances. The method includes the steps: detecting vibrations that correspond to cookware situated on a burner assembly; generating a vibration signal based on the vibrations; and performing signal processing on the vibration signal. The method also includes the steps: collecting vibration data related to the vibration signal; and detecting boiling and boil-dry conditions for a liquid contained within the cookware based at least in part on an evaluation of the vibration data.