When I took Algebra I in 9th grade, I struggled my first grading period and got a B. Then something clicked and I never got below an A in math again. Although both my English and Math SAT scores were good, it's the Math part that really pushed the total up to where I could join Mensa.
I use Algebra a lot in everyday life. You have to if you want to be smart about things. Especially if you're in business.
I'm in charge of a running club. At an event, most people have to pay a "cover charge", except the ones that set it up. I provide food and beer which even the free people use. How many people do I need to attend to break even? Is the price suitable that I can sustain it in the winter when fewer people come out? Can I lower the price making people happier and making me a hero? What happens when the price of beer changes?
Even if I don't calculate the numbers in my head, I understand what the formulas have to be to figure out the answers to my questions. I can plug those into a spreadsheet or calculator and do calculations. Which is what Algebra is really about. Formulas, not the exact numbers. X can be any number and a formula tells you how to take X and calculate Y.
People might not NEED that in every day life, but they're probably getting screwed over from time to time if they don't use these principals.
Another example. Most grocery stores do it now, but you have a price/ounce or price/unit. Without it, you have some item like pancake mix that comes in several brands with different sized boxes. And IMO, no significant difference between brands. Which one is the best value for the price? I've seen things like 3 for price $x. But buying them seperately or in different sized containers, you can get just as much cheaper. And every time that happens, I feel proud that I know math and didn't get suckered in.
And aside from knowing formulas, people can't even do basic math. Bought my daughter an ice cream cone one day. I think the cost was like 2.15. I pulled out a $5. Then decided I didn't want 85 cents change, so I searched and found a quarter. But the kid at the register already rung it up and couldn't figure out the change if I added a quarter. I had to tell him. You owe me $3.10. And I just shook my head at the lack of skills this kid had. Especially for somebody working a register.
I find the author of the NY Times article either a bit deceptive or stupid. I could argue several points, too many to go into detail about.
I do know one thing. The people I see making the biggest advancements in science and technology fields are generally good at math. Their average co-workers may not need to be at that level. But then again, they're not the ones doing the best work, getting the biggest raises, etc.