Why should most students even bother with algebra? Their parents almost certainly don't use it. It's more-or-less a hazing ritual. And it's entirely reasonable to not want to put up with being hazed.
Sure, I've got to understand algebra because I program computers. But not very many people do anything like that.
Imagine that instead I were opening a cupcake shop. High school algebra is full of problems like this one: My fixed costs for my cupcake shop are $100,000 per year. My cost of ingredients for a cupcake is $0.30, and I think I can sell 100 cupcakes per day. What do I have to charge per cupcake to have a positive net?
So, the algebra way to do this is to write out an equation, 100000 = 365*100*(c-0.30). Then solve for c. And if I were in this situation and I had been paying attention in high school algebra, I could transform this to c = 100000/(365*100) + 0.30. But if I hadn't, here's what I would do: I would say that a cupcake costs around $3, plug $3 into that equation, and immediately see that I'll be a bit short. So maybe now I have to try $3.25, which will work. Boom, problem solved, no algebra.
Bret Victor calls this process "scrubbing".
And, of course, there's basically never a situation where you need a quadratic equation. I guess figuring out areas/volumes, but the scrubbing approach will work just fine there.
Realistically, if I were planning my cupcake shop, I would use a spreadsheet, which unfortunately nobody learns in high school. That's too bad, because lots more people use spreadsheets than algebra.
Sure, I've got to understand algebra because I program computers. But not very many people do anything like that.
I'm not so sure about that. They way computers are integrating into society it seems likely that the status of people who can't at least do basic programing will soon be similar to the status of illiterate people ~100 years ago.
Post by fellow LW reader Razib Khan, who many here probably know from the gnxp site or perhaps from his debate with Eliezer.