One hotly debated topic about keeping glass-top stoves in good shape is whether to use a razor or sharp scraper to assist in removing tough, grungy food stains. If you choose to go this route, appliance manufacturers recommend purchasing a special scraper, which comes in a kit with a stove-top cleaner and soft cleaning pads.
As always, once the stovetop is cooled down use a damp cloth or paper towel to remove any excess crumbs or other mess. Next, add a liberal amount of the liquid cleaner that came with the scraper (or buy some separately) to the area affected, and use the scraper to lift burnt-on debris. Holding the razor blade at an angle, use some muscle to scrape off any burned-on foodstuffs. Do not use the corner of the scraper or razor blade, as it can scratch the glass top. Although it's tempting for extreme messes to call the whole thing off, it's actually very important to the overall function of your stovetop that the mess be completely eradicated [source: Doman].