I'm only picking on history or languages as examples. I could have picked literature, or almost anything, really. A lot of what is taught at school isn't necessarily a bunch of super applied skills
There are lots of bad teachers in every discipline, and I'm sure that everything could be taught a lot better. I'm still not getting why maths is singled out.
Plain math is abstract. No humans involved, just numbers and formulas. Nothing to connect to, unless the teacher brings in the real world. Because math is awesome at describing and predicting real world events. But that is usually applied math, like physics. And I loved physics (and history) in school. But math? My brain refused as it saw no benefit except for the needed grades.
The attempts to make history more "scientific", usually for religious or political reasons (e.g., explaining past events throgh class struggle), end up looking like propaganda.
Science is also taught as a set of facts to be memorized, but that is also not science. In both science and history, the most important question is not "what do you know?" but "how do you know?".
And that is exactly the question allmost never being asked in (my) school. "No time for it. Here are the facts. Accept it and learn them, we will determine your future on how well you memorized them"
But to be fair, some of my teachers tried this approach as much as possible, but within the whole framework of the curriculum, not much was possible.
But one can make for example the prediction that the war in Ukraine will be going on for a little bit longer.
Your prediction about the war in Ukraine is not falsifiable.
And the prediction about the war in Ukraine would not be "it'll be like today". The current prediction is, that russia will continue to slowly make ground and move the front lines to the west. There are actually predictions how much and where exactly. I think that gets also falsified in some institutes, but is probably classified.
Maybe so, but I have no clearance and have not seen it. And it would be completely different from history I studied in school. There wasn’t a single prediction, let alone quantitative prediction with time horizon and confidence interval in any of the history books I’ve read.
But Math beyond the basics is perceived as unnecessary torture, with no practical use, one has to endure to get a diploma.
So yes, my proposal would be to teach it more in a practical, applied way.