I had lost hope with my electric cooking plates. The white circles where completely hidden under a layer of diamond-grade burn residue that no amount of scrubbing with chemicals could even begin to remove. I found this 3€ scrapping tool and it’s amazing !!! Sorry, but I don’t have the before picture, believe me after 6 years of usage, it was bad.
As long as you keep the blade flat against the glass it doesn’t scratch. If you use the corner of the blade to scrape it will scratch.