American parents are sending their kids to 'Russian math' (2017)

You are being downvoted but you're correct.

Consider the natural numbers. There is no 'why' behind them. There are axioms behind them, and -- given those axioms -- there are statements about the natural numbers that can be logically reduced to the axioms, but the axioms have no why.

Moreover, it is provable the axioms have no why, because they cannot have a why, because the axioms cannot be proven except in relation to themselves. If you're so convinced the axioms have a why, please prove me and Godel wrong.

The 'why' behind natural numbers is a social one, and one of convenience. The natural numbers make it easy to solve and communicate about certain problems, but they are not the only way to solve those problem nor are they the only way to communicate about these problems.

For example, another way to deal with basic arithmetic, is to talk about numbers as sets. Now you can define certain operations on them, and completely ignore the axioms of the natural numbers. This model is way better than others for certain problems. However, you now have a new set of axioms.. and oh yeah, actually the most obvious ones are completely self-contradictory, so you'll need to choose Zermelo-Frankel or something else.

Or if you want to be even more general, you can simply talk about the lambda calculus, but good luck trying to 'prove' the lamba calculus theorems in itself, because you'll quickly hit the halting problem.

Of course you can then say... well let's get rid of that and use the typed lambda calculus, but then oh yeah you can't do anything interesting. Why are these choices made? Can the choices be justified in the systems themselves? No of course not. The idea that you can use 'logic' to derive these systems is also ridiculous because formal logic is itself a system with axiom (and a very controversial system at that).

But if you look at the lambda calculus, ZF set theory, and the natural numbers as simply models and systems that are sometimes useful, then it makes sense as to 'why'. But the 'why' exists independent of them and is not provable in them and is social and cultural in nature. It is certainly not mathematical as in order to 'do mathematics' (symbolic manipulations) you first need axioms.

Mathematics education in this country has been replaced by rote dogmatism which is why many Americans cannot handle this ambiguity.

What must be explained is that mathematics is a language and in order to communicate with other educated humans about these abstract concepts it behooves everyone to speak the same language. It is the same reason the word for 'dog' in English is taught as being spelled D-O-G. There is no why behind it. It's just the result of thousands of years of culture. Except mathematics is a more global language and more useful for different kinds of manipulations.

The article also mentions that AP (and, presumably, IB) are being maintained. These programs provide a recognized curriculum and the courses are typically taken by students who want advanced classes. I also took a quick glance at the BC mathematics curriculum, which is typically offered in different tiers, and it is offered in different tiers. Science appears to take the usual tact of a general course, with specialist courses for students who want to study biology, chemistry, or physics in more depth. In other words, regardless of whatever nonsense is being spewed by the board, differentiation between interest and ability is still available.

It is also worth noting that there would be significant public push back if there was a true degradation in the curriculum. Ontario tried replacing calculus with pre-calculus about a decade ago, which the government had to reverse due to public pressure.

I wish i was exaggerating.

In primary school the older brother of a classmate has broken into a newsstand and has stolen a few porn magazines. My teacher beat him every day for a week as to serve as an example to everyone (yes he beat the little brother). He hit him around his temples so as to not leave marks and would lift him from the floor pulling by the hair. To this day i wont forget this.

Also as recently as few years ago there has been an uproar in romania as to how many parents beat their children for various reasons including poor school performance. You know, “bataia e rupta din cer”.

This happens in poor areas of romania such south or east provinces as much as in the north west.

“got jobs at X” - exactly. Excellence in romania’s education system means obedience. At the top it produces great workers. Not that working at google is not cool or getting a phd is not useful but romania needs more than that.

And while a small sample praises romania’s education system, and great maths, Romania suffers from roughly 50% functionally illiterate pupils. Just because a small sample gets good results in olympiads, frankly contests that mainly poor countries compete in, it doesnt mean the system is great. Quite the opposite.

Doing math in your head doesn't really teach you anything either though. Everyone has a calculator within hands reach these days. I don't think practicing mental math ever helped me understand principles, it just helped me memorize and learn tricks that are only helpful with doing mental arithmetic.

They absolutely can. Most adults should be able to immediately recall the learnings from elementary to high school. This is not rocket science or highly specialized knowledge.

The fact that an arbitrary american adult educated in this country cannot easily differentiate and name some works of shakespeare and provide some quotes, etc, should be o source of national shame.