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I'll just jump in briefly. If you want to describe a temperature
change you would say it is so many Celsius degrees. If you want to
describe a temperature,you would say it is so many degrees Celsius.
Sadly that gets abbreviated into symbols that are not clearly defined.
The intent is correct, the symbolism is easily missinterpreted.
Further, students often have difficulty distinquishing temperature from
change in temperature. So having a symbolism that easily confuses
these is not pedagogically wise.