I'm always very confused by this. Why are maths lessons more traumatic than, say, history or biology or foreign language lessons? I mean learning lists of irregular verbs is not precisely most people's idea of fun. And yet only about maths do people speak with such dramatic language.
There must be something beyond what's happening in schools themselves that makes people react this way. I just can't work out what it is.
In my mind math learning builds on top of the stuff you have learned earlier on different level than other subjects. If you get ”derailed” at some spot in learning it becomes tough / impossible to learn the concepts that build on top of the stuff that you didn’t understand properly.
This is kind of a rant, but I think we heap a whole bunch of expectations on math progress in school, that are unrelated to math and create a burnout atmosphere. There's a culture of fear surrounding math. Most adults, even people who are in supposedly technical occupations, outwardly hate math. Most can proclaim that they set their math aside after it got them through school.
Yet it's also chosen as an arbitrary measure for ranking children and gating their academic and career choices. Kids are "ahead" or "behind" in math. They're tutored during the summer and sent to cram schools. They're tested at every grade level. Math determines access to many fields of study in college. School districts are ranked by math scores.
We have some vague sense that math is important for something. Maybe it fosters intelligence or diligence, both of which are valuable I suppose. But never math for its own sake.
I loved math in school and was even on the state math team. Sadly much of the math I learned in high school and even college I had to unlearn (the worst example being assuming everything is a normal distribution and reporting mean and standard deviation instead of looking at a histogram).
I'm convinced that the best way to teach stats is to start people with data and graphing. The formal mathematics of statistics is certainly a fascinating discipline (my grandfather was a professor of statistics) but for the rest of us, the formulas are a work-around to the problem of dealing directly with the data and doing repetitive calculations by hand.
The formulas and proofs are certainly valuable, but could come later. And the graphs remain useful (at least for a hack like me) for confirming our understanding of the formulas.
Also, data and graphing would be a way to ease students into programming.
I agree, but have to caution that the abstract and dry stuff is still part of math. It was what turned me on to math. I'd favor a blending of math and science curricula, and use more data analysis when teaching science.
It's a dilemma because math is so broad, and has both pure and applied sides. And a challenge for changing curricula is that the public defines "math" as the precise sequence of topics that they studied in school (and hated).
What about history? Don't people perceive it as even more unnecessary than maths? Shouldn't we expect to see all sorts of theories on how history should be taught in more practical ways if your explanation is correct?
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.
History is about stories of people in the real world. Learning dates of battles or treaties was and is also hated, but otherwise it is just stories, one can more or less relate to.
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.
History is not abstract. It does not give you generalizations, abstractions and models, just historical facts. Many of those facts are useful in understanding why things around you are the way they are.
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.
If you learned history as a set of facts then you did not learn history. History is about the connections between those facts and the overarching story.
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?".
You can, but the world is still an chaotic place, so making a forcast on human geopolitics, is like making a weather forecast. Likely valid for the next days, but increasingly bad for longer timeframes.
But one can make for example the prediction that the war in Ukraine will be going on for a little bit longer.
Weather forecasts can easily be compared to actuals, and distribution of residuals can be calculated. That’s how weather forecast models are quantitatively evaluated. A seven day weather forecast has 95% confidence interval of around plus-minus 10 degrees Fahrenheit, way better than “it’ll be like today”.
Your prediction about the war in Ukraine is not falsifiable.
Look, I am not going to make a detailed geopolitical analysis here, but there are lots of sites and institutes who do, you can check them out. The difference with weather forcast is only, that human analysis of geopolitical events often hope to influence the outcome. But the weather will come whether we think it will be sun or rain.
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.
Are you saying there is some classified science also called history that makes quantitative, testable, falsifiable predictions?
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.
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.
Because many school Maths teachers are fundamentally bad at teaching the subject and when this abstract subject naturally is difficult for young pupils to absorb, in the end they default to "because it is that's the way it is, and you just have to learn it!", roughly put.
Math is used as an IQ filter in the education system so even the people who are capable of it develop a hate for it.
The math department at my university was viewed very negatively because of this. People doing CS prerequisites and whatnot knew that they weren't there to learn but just to pass a glorified IQ test.
Because in maths one thing builds on another, more so than in other fields.
If you missed multiplication there is no way you can get integral calculus. People drop out at different stages and can never get back on track in the school curriculum.
There must be something beyond what's happening in schools themselves that makes people react this way. I just can't work out what it is.