"Reading" and "Reading into"

The idea of “reading something into” a poem came up in a discussion just now. I was supposedly “reading something into” a poem; hence my reading of the poem was implied to be wrong.

Whether or not I was doing so, I’m curious if anyone knows of any essays/research that address the issue of “reading into”.

It seems like several issues are involved:

1. “Reading” the poem is distinguished from “reading into” the poem.
2. “Reading” the poem is *distinguishable* from “reading into” the poem.
3. The claim that someone is “reading something into” the poem, that something is being “read into” it, is used to call the validity of that reading into question.
4. The person making that claim is rhetorically staking out a position of being a better “reader” of the poem: “I am not ‘reading into’ the poem; you are. And my reading is thus better.”
5. In what contexts does the claim about “reading into” come up? Who speaks? Who is spoken to? — It’s the kind of thing a professor might say to a student, but it’s something a student would surely rarely say to a professor.

So there's a theoretical issue (how to distinguish "reading X" from "reading into X") and a sociological issue (who uses the criticism, and of whom, and in what context).