We intuitively think in terms of analogies to the physical world we observe. We see objects, like rocks and balls. We see waves on the ocean.
QM deals with a lot of things that are very small, and are not analogous to the macroscopic things we have personal experience with. And are kind of weird. That means that we can't just use our normal tool of understanding, similarities to prior things.
JJ Thomson proposed a model of the atom which he
likened to plum pudding. The negative electrons represented the raisins in the pudding and the dough contained the positive charge.
Ernest Rutherford proposed a system consisting of a small, dense nucleus surrounded by orbiting electrons—
similar to the structure of the Solar System.
It is quite nice to have a mental image that reflects ordinary things we already understand. QM really misses the boat on a LOT of that. Things are just incredibly weird, when compared to ordinary macroscopic things. And some things that attempt to be analogous, such as "spin" really don't quite match.
https://www.scientificamerican.com/article/what-exactly-is-the-spin/
So in one sense, the math doesn't tell you about "reality". But in another sense, it tells you about reality, it just doesn't make ordinary sense.