As long as the dirt is superficial, there is no problem cleaning a glass-ceramic plate, but as soon as there are cooking damages with splashes of fat, sugar, tomato, sauce, it's difficult to properly clean it.
This home made recipe will help you clean your plate.
You need: baking soda, liquid dish soap and vinegar. Also, take a bath towel as large as the plate.
Begin by pouring the vinegar into a spray bottle and spray the entire surface of the hob.
Sprinkle baking soda on the ceramic hob.
In the sink or in a bucket, pour very hot water and liquid dish soap. Wear gloves and dip the towel in very hot water.
Twist it, but not completely, and lay it on the ceramic glass plate. Wait 15-20 minutes before removing the towel.
With a soft brush, rub the surface of the hob, then wipe the glass. Normally, all dirt is already gone with this method. If your plate is really dirty, you may have to start over again.
To finish, spray white vinegar on the hob and wipe it with a microfibre cloth: the plate will be completely clean!