There's been a lot of talk in Denmark about whether our teachers are at a high enough level or whether the public schools are floundering. But even so, you can absolutely expect your math teacher to know math, your history teacher to know history, etc. At least to the required level, but not necessarily past a 9th grade level. The teachers I remember having in my school years were quite competent. Some, even very good at making students take an interest in the material.
I'm pretty sure that the worst of those American teachers could never get a teaching job in Denmark.
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