You'd be wrong. "Geometry" is a highly respected poem of (Pulitzer Prize winning, Poetry laureate) Dove's. (Only the first stanza is quoted in the article). It has been extensively analysed, incorporated into various poetry syllabi around the world, and reprinted dozens if not hundreds of times.
It's quite one thing to say that you don't understand a poem, or you don't like it, or you prefer songs to poetry. But try not to hold court on what is or isn't 'considered' good poetry by people who enjoy poetry qua poetry.
> I thought it was clear that I was expressing my own opinion
I didn't get that sorry. When you said "I don't think [it] would be considered a good poem", it sounded like you were using a passive modal verb to suggest universality.
If it was intended as personal, I withdraw the rest of my comment.
> Also, windows and transparent walls as artistic device in a 21st century poem?
Since you've offered me the opportunity of being gloriously pedantic :) I can't resist saying that it was written in 1980. (Of course, that makes no difference to your opinion, I understand.)
When were transparent walls a suitable artistic device?
But seriously. To begin, the whole construct of comparing theoretical discovery to "seeing new things" is very old. Take Newton's famous "If I have seen further it is by standing on the shoulders of Giants." That actually is late 17th, although wikipedia says it could be even from the 12th, [1]. The windows probably have been used metaphorically even before that, but to be on the safe side, google ngrams finds them before 1900, [2]. Don't see much numbers about actual transparent walls, but a "glass ceiling" was used metaphorically as early as 1848, [3]. Thats remarkable on its own, although thats a different metaphor. Literal uses are even earlier.
Anyway, the point is cliche alert went off right at that first stanza.
There's a deeper problem, though. And that is that "proving" a theorem is not the thing that enables one to see. Proving is typically a rather mundane process, once one knows what one wants to prove. Take Pythagorean theorem even. Once one can formulate it, its not really hard to prove. But coming up with the notion that that is a thing that could be right, thats more difficult, thats the moment of "seeing". Its a bit of a simplification, but its mostly the discovery of new formulations that drives mathematics, not proofs. And so, the opening "I proved a theorem and then whooaaa..." is quite ridiculous.
[1] https://en.wikipedia.org/wiki/Standing_on_the_shoulders_of_g...
[2] https://books.google.com/ngrams/graph?content=window+on+the+...
[3] https://books.google.com/ngrams/graph?content=glass+ceiling&...
Cann't right now think of anything I know by a proper poet in English, but consider for example Leonard Cohen's
The Maestro says it's Mozart
But it sounds like bubble gum
When you're waiting
For the miracle, for the miracle to come
How much did he tell you in just those 4 lines? More importantly, have ever noticed the particular phenomenon described here? Now you have it in words, and you'll be able to notice it next time. I don't mean you specifically here, but just to convey the point.
That's poetry to me, not so much about "emotion", just noticing and expressing somewhat subtle facets of life. Because at the time this was written this was not a particularly new or subtle insight, that wasn't "true" poetry. Still a good song though.