I can only assume but culture makes things very different. I often said that French abstract algebra books stopped me from learning for 10 years (after many serious attempts). One book from Garreth Williams unlocked 80% of my issues. The shocking part was the approach. It was very operational, you calculate, you manipulate concrete data. In French books it's all theorems and concepts. Learning curve to make a Haskell…
I feel like it's worth pointing out here, for Americans who don't know better (no blame implied), that the French have one of the best mathematical pipelines in the world. They have almost as many Nobels (13 vs. 11) despite having 1/5 the population. Guardian article about them here: https://www.theguardian.com/world/2012/may/31/europa-french-... So please don't think France is a backwater that just doesn't know how…
Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
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Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#52Soviet body builders only used free weights and a pull-up bar. You don’t need anything but that to get big muscles. Similarly, you don’t need anything except a chalk board to teach math and most other subjects.
Using only free weights and a pull-up bar will work. But it doesn't mean it's the most effective way to body-build. You can write a program from scratch in C to perform an task, or you could use all of the tools of your disposal to far more e f f e c t i v e l y complete the task, potentially without code. You don't need anything except a chalk board but there may be more effective ways to obtain the result you are l…
A true bench press with a bar is much better than a machine imitation of the same muscle groups.
Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#53Earlier quoted context omitted.
> Soviet body builders only used free weights and a pull-up bar. You don’t need anything but that to get big muscles. You may also need steroids, which Soviet body builders definitely used.
If you think only Soviet body builders were juicing, you are sorely mistaken. FYI I am the furthest thing from an ideological defender of the Soviet system as you will find. I am just stating some truths.
https://en.wikipedia.org/wiki/Doping_in_Russia#Background:_S...
Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#54I wonder if there's a trade-off to this. On one hand you produce some really elite theoretical minds (Pontryagin, Lyapunov, Kolmogorov, etc.). But the counterfactual is that it excludes those with high IQ but are more practically-oriented as well as late-bloomers who didn't take to math early but would have become reasonable applied mathematicians (I belong to this category). I guess we will never know.
To draw a parallel, one of the criticisms of the French system -- where mathematics is treated as the most important arbiter of intelligence (for grandes ecoles admissions) -- is that other aptitudes are almost seen as secondary. It optimizes too much for a very narrow aptitude -- which is great for producing Fields Medalists, but underoptimizes for talent elsewhere.
In my experience, while the American education system on the other hand is kind of a piece of cake from K-12, it somehow manages to catch up at the college level (more or less). At the graduate level, the differences in ability between a U.S. graduate student and a Soviet-system/Eastern European educated one is largely diminished. And it does this without over-optimizing for any particular aptitude so deep expertise is developed over a broader field in the U.S.
Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#55Earlier quoted context omitted.
I feel like it's worth pointing out here, for Americans who don't know better (no blame implied), that the French have one of the best mathematical pipelines in the world. They have almost as many Nobels (13 vs. 11) despite having 1/5 the population. Guardian article about them here: https://www.theguardian.com/world/2012/may/31/europa-french-... So please don't think France is a backwater that just doesn't know how…
Do you mean the Fields Medal?
I should have said the Fields Medal, as indicated in the article.
Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#56Excerpt: "At the risk of oversimplifying, I noticed that because of the traditional scarcity of equipment, Russian students and scientists had to think rather than experiment, whether with computers or accelerators; it was often all that was available to them."
This sort of thing likely led to what one of my Russian professors was pretty proud of: That Soviet microbiologists with some bacteria, a pH meter, and some basic chemicals like sodium citrate could bang out publications, with some well-designed and elegant experiments. We Americans, on the other hand, would spend thousands of dollars on fancy machines, reagents, etc. and were less productive.
Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#57Soviet body builders only used free weights and a pull-up bar. You don’t need anything but that to get big muscles. Similarly, you don’t need anything except a chalk board to teach math and most other subjects.
I don't believe you that Soviet body builders only used free weights. https://www.rbth.com/history/329827-bodybuilding-outlawed-in...
Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#58I mean, could it be as simple as "Learning math is more important to Russians than to Americans?" And before you dismiss this as simplistic, consider everything that's competing for attention with "learning math." What things are Americans either preoccupied with or beset with, that Russians esp. Soviet Russians, weren't? I'm thinking, the profit motive. Particularly as concerns textbook publishers. And parents who n…
Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#59I mean, could it be as simple as "Learning math is more important to Russians than to Americans?" And before you dismiss this as simplistic, consider everything that's competing for attention with "learning math." What things are Americans either preoccupied with or beset with, that Russians esp. Soviet Russians, weren't? I'm thinking, the profit motive. Particularly as concerns textbook publishers. And parents who n…
Source: attended school in both countries.
Re: Why are Soviet math textbooks so hardcore in comparison to US textbooks? (2017)
#60I mean, could it be as simple as "Learning math is more important to Russians than to Americans?" And before you dismiss this as simplistic, consider everything that's competing for attention with "learning math." What things are Americans either preoccupied with or beset with, that Russians esp. Soviet Russians, weren't? I'm thinking, the profit motive. Particularly as concerns textbook publishers. And parents who n…
A family from the Ukraine somehow managed to immigrate to Australia and their 16 year old girl was enrolled on our maths classes. She was years ahead of the rest of the class.
She said she was a very mediocre maths student at home in the Ukraine, said quite a few times that in her opinion we had been taught basically nothing in the Australian system. I don't know how much maths the average soviet citizen learned, but I got the strong impression that soviet students who were actually interested in the subject got a much better mathematical education than they would have in Australia/US/UK.