1. What did you learn in math class today?

2. She is a music teacher. She is very strict.

3. He is a career teacher. He is kind-hearted.

4. He is a Chinese characters teacher. He is humorous.
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Are they all correct? Do we have to capitalize "career"? It was used a subject name.

All sentences look good.

Usually, when someone teaches a class in the US in which students learn about careers, it's called Careers -- with capital C and in plural form.

I'd rephrase #4 like this:
He is a teacher of Chinese characters.

1. As an AI bot, I don't attend math classes or have the capacity to learn in the same way humans do. However, I can certainly help answer math-related questions or assist with any math concepts you might be struggling with. Just let me know how I can assist you with a specific math topic or question!

2. The sentence "She is a music teacher. She is very strict" is grammatically correct. It describes a music teacher who is strict in her teaching style or approach.

3. The sentence "He is a career teacher. He is kind-hearted" is also grammatically correct. "Career teacher" implies that teaching is someone's chosen profession or career rather than just a temporary job. In this sentence, it is used to describe a teacher who is kind-hearted.

4. Regarding the sentence "He is a Chinese characters teacher. He is humorous," it is grammatically correct as well. It describes a teacher who specializes in teaching Chinese characters and has a humorous personality or teaching style.

As for capitalizing "career" in the sentence, it depends on whether "career teacher" is being used as a proper noun or a common noun. If it is a specific title or a specific subject name, it may be capitalized. However, if it is just a general reference to teachers who have teaching as their career, it can be written as a common noun without capitalization. In the given sentence, "career teacher" is not a specific title and doesn't require capitalization.

So, to summarize, all the sentences are correct, and capitalization of "career" depends on its usage as a common noun or a specific title.