If asked a teaching question in a interview for a math professor position about how you engage students or innovate your teaching, would it look bad if I say I'm just a traditional lecturer, teaching either using the board or slides or both?
This is in fact how most people lecture in my experience, it works fine, and the interviewers probably know this. And students like it, but somehow it feels almost shameful to admit it.
"I engage students by giving clear and insightful explanations of concepts [include some examples], using a standard lecture format with the board or slides."