So/Too Adjective a Noun

Hello Everyone!

I'm an English learner and now get stuck with a question.
<Sample sentences>
(1) Mike is so good a teacher.
(2) Ann is too stupid a student to learn math.
Should I take "good" and "stupid" as subject complements or as noun modifiers?
I was wondering if someone would explain the syntactic constructions of these.

The first one should be: "Mike is such a good teacher". "So" is used if the predicate consists of an adjective only, not a noun phrase, like in "This is SO good". The second sentence seems right to me.