Create a mixture of one-half tablespoon liquid dish soap and 3 cups lukewarm water. Stir the ingredients to create a sudsy mixture.
Dampen a soft cloth with the soapy water and wipe down the affected area to remove any dirt, grime or burnt-on food. Wipe away the excess moisture with a separate soft cloth.
Locate the chipped piece. Grab the piece with a pair of tweezers to set it into the damaged spot to ensure it tightly fits. If the chipped piece is too small, it is still usable.
Place a dollop of ceramic bonding agent, available at hardware and home improvement stores, into the chipped glass cooktop. Lower the chip into the bonding agent with the tweezers and adjust it until it fits inside the damage. If the chip is too small for the piece, fill in the extra space with the ceramic bonding agent.
Apply slightly pressure with a gloved finger to the chipped area to allow the bonding agent to set. Allow the bonding agent to cure for at least 24 hours before continuing.
Cover a cotton swab with a small amount of denatured alcohol. Work the denatured alcohol into any excess bonding agent on the ceramic cooktop. Wipe down the cooktop with a damp cloth.