Cooktop stoves are made from glass ceramic. Instead of raised burners, the heating elements lie underneath the flat surface of the stove. Because of the fragile nature of the surface, removing debris and melted-on plastic is a little more involved than cleaning the top of a traditional stove.
Allow the hob to cool off before attempting to remove the plastic that's melted on the surface. Many cooktop stoves have a warning light that stays on until the stove is cool.
Moisten a nylon or plastic sponge with a bit of water. The sponge should not contain cleansers of any kind. Rub the sponge gently in small circles to lift off the plastic debris. Avoid using "scrubber sponges" or metal pads that can scratch the cooktop.
Rub a cooktop cleansing cream into the stove with a sponge or paper towel. Nonabrasive creams of this kind are labelled as cooktop cleansers, marketed by several manufacturers and available in supermarkets and mass merchandisers in the cleaning aisles. The cream lifts not only melted plastic from your stove, but removes other dirt and burnt-on food as well.
Lift off any remaining plastic with a sharp razor blade if pads and cooktop creams do not remove the stuck-on spots completely. Hold the razor at an angle to manoeuvre the flat edge of the blade under the plastic without scratching the stove.