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Comment by robg

4 years ago

Probability and statistics should have already replaced algebra and calculus in modern education. People are just really bad at understanding variance and the impacts on what we think we know.

My gut feeling is that the education sector is extremely conservative and keeps teaching whatever is has always teached.

This is one argument for homeschooling, I guess.

  • Anecdata (I wanted to be a teacher earlier on until I actually met a few and heard their stories):

    Teachers are generally pretty progressive (both in the political and innovation senses), but the legislation (like Common Core), state & district educational standards, and school boards move more slowly. And in the US, the primary schools are largely funded and overseen by local parents (municipal and state), so the school priorities and cultures partially reflect local priorities.

    There's often debate between what individual teachers want to teach (a product of their individual preferences and backgrounds and values) vs what the administration forces them to teach (as a reflection of the political and business realities of their particular school). There's often a personality difference between the two classes too (educators vs admin types), with the former often being (at a stereotype) starry-eyed idealists and the latter being grounded management types with an eye on the numbers of finance and politics; on top of that, there is also often a labor vs mgmt (not quite "owners") divide, with individual teachers being pretty much powerless to teachers' unions being really strong in some districts. Long story short, teachers can't unilaterally change the curricula they teach.

    The power struggles affect everything from math (new math, math wars, whether to test it, etc.) to social studies (CRT, Native studies, bilingualism, religious studies) to science (evolution, climate) to business needs (cursive vs typing, algorithms or letterheads), etc.

    Far from being a settled matter, our educational system is heavily political and its lack of progress is probably reflective of our divisiveness as a country, where two broad sides keep playing tug-of-war and veering towards the extremes, making tiny gains and losses back and forth.

    The kids end up caught in the crossfire. The US, for all the money we pour into education, ends up rather poorly educating its children vs other developed nations: https://en.wikipedia.org/wiki/Programme_for_International_St...

    • If parents are a big influence, I'm not surprised if schools end up teaching about the same things the parents were taught.

Without the simple algebra taught in high school neither probability nor most interesting (high school) math would be possible. But a stronger emphasis on probability and statistics would indeed be interesting.

You need algebra and calculations calculus to do anything theoretical in probability. But I'm a fan of working backwards from interesting applications of algebra to the fundamentals.

  • True, but hardly anyone does anything theoretical. Those who do will probably have taken a lot of extra math courses along the way. IMNSHO, you need to understand the principles of algebra and calculus, but you don't have to know how to integrate by parts, or know the formula for computing the roots of a quadratic. Statistics, otoh, is fundamental to understanding science, voting (I'm thinking of Trump's claim that it was statistically impossible for him to have lost), health, the meaning of bad test results (here I'm thinking of Bayes' Theorem--and minimal algebra is needed to solve that equation), and so forth.

Wow, I've been saying that for a long time. I took algebra, calculus, and probability and statistics back in high school/ college. Guess which one I've used since then, and which two I have not used (with the exception of helping my children with their algebra homework).