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Friday, October 10, 2008 | Reason : Education | print version Print | Comments |

Document Math Skills Suffer in U.S., Study Finds

by Sara Rimer

Reposted from:
http://www.nytimes.com/2008/10/10/education/10math.html

The United States is failing to develop the math skills of both girls and boys, especially among those who could excel at the highest levels, a new study asserts, and girls who do succeed in the field are almost all immigrants or the daughters of immigrants from countries where mathematics is more highly valued.

The study suggests that while many girls have exceptional talent in math — the talent to become top math researchers, scientists and engineers — they are rarely identified in the United States. A major reason, according to the study, is that American culture does not highly value talent in math, and so discourages girls — and boys, for that matter — from excelling in the field. The study will be published Friday in Notices of the American Mathematical Society.

"We're living in a culture that is telling girls you can't do math — that's telling everybody that only Asians and nerds do math," said the study's lead author, Janet E. Mertz, an oncology professor at the University of Wisconsin, whose son is a winner of what is viewed as the world's most-demanding math competitions. "Kids in high school, where social interactions are really important, think, 'If I'm not an Asian or a nerd, I'd better not be on the math team.' Kids are self selecting. For social reasons they're not even trying."

Many studies have examined and debated gender differences and math, but most rely on the results of the SAT and other standardized tests, Dr. Mertz and many mathematicians say. But those tests were never intended to measure the dazzling creativity, insight and reasoning skills required to solve math problems at the highest levels, Dr. Mertz and others say.

Dr. Mertz asserts that the new study is the first to examine data from the most difficult math competitions for young people, including the USA and International Mathematical Olympiads for high school students, and the Putnam Mathematical Competition for college undergraduates. For winners of these competitions, the Michael Phelpses and Kobe Bryants of math, getting an 800 on the math SAT is routine. The study found that many students from the United States in these competitions are immigrants or children of immigrants from countries where education in mathematics is prized and mathematical talent is thought to be widely distributed and able to be cultivated through hard work and persistence.

The International Olympiad, which began in Romania in 1959, is considered to be the world's toughest math competition for high school students. About 500 students from as many as 95 countries compete each year, with contestants solving six problems in nine hours. (Question 5 from the 1996 test was famously difficult, with only six students out of several hundred able to solve it fully.)

The United States has competed in the Olympiad since 1974. Its six-member teams are selected over years of high-level contests, and trained during intensive summer math camps.

One two-time Olympiad gold medalist, 22-year-old Daniel M. Kane, now a graduate student at Harvard, is the son of Dr. Mertz and her husband, Jonathan M. Kane, a professor of mathematics and computer science at the University of Wisconsin, and a co-author of the study. The other two co-authors are Joseph A. Gallian, a math professor at the University of Minnesota and president of the Mathematical Association of America, and Titu Andreescu, a professor of math education at the University of Texas at Dallas and a former leader of the United States Olympiad team.

All members of the United States team were boys until 1998, when 16-year-old Melanie Wood, a cheerleader, student newspaper editor and math whiz from a public high school in Indianapolis, made the team. She won a silver medal, missing the gold by a single point. Since then, two female high school students, Alison Miller, from upstate New York, and Sherry Gong, whose parents emigrated to the United States from China, have made the United States team (they both won gold).

By comparison, relatively small Bulgaria has sent 21 girls to the competition since 1959 (six since 1988), according to the study, and since 1974 the highly ranked Bulgarian, East German/German and Soviet Union/Russian IMO teams have included 9, 10 and 13 girls respectively. "What most of these countries have in common," the study says, "are rigorous national mathematics curricula along with cultures and educational systems that value, encourage and support students who excel in mathematics."

Ms. Wood is now 27 and completing her doctorate in math at Princeton University. "There's just a stigma in this country about math being really hard and feared, and people who do it being strange," she said in a telephone interview. "It's particularly hard for girls, especially at the ages when people start doing competitions. If you look at schools, there is often a social group of nerdy boys. There's that image of what it is to be a nerdy boy in mathematics. It's still in some way socially unacceptable for boys, but at least it's a position and it's clearly defined."

Ms. Miller, who is 22 and recently graduated from Harvard, and Ms. Gong, 19 and a Harvard sophomore, both cite Ms. Wood as their role model. Ms. Wood and Ms. Miller helped coach the United States girls' team that began competing in the Girls' Math Olympiad in China two years ago. Thirteen girls from the United States have competed in the last two years, according to the study, and all are of Asian descent except one, Jennifer Iglesias.

The leader of those two teams, and of the United States Olympiad team is Zuming Feng, who grew up in China and teaches math at Phillips Exeter Academy in New Hampshire.

Dr. Feng says that in China math is regarded as an essential skill that everyone should try to develop at some level. Parents in China, he said, view math as parents in the United States do baseball, hockey and soccer.

"Here everybody plays baseball," Dr. Feng said. "Everybody throws a few balls, regardless of whether you're good at it, or not. If you don't play well, it's O.K. Everybody gives you a few claps. But people don't treat math that way."

A big part of the problem, Dr. Mertz and others say, is that while the young math Olympians are wooed by elite colleges like Harvard and the Massachusetts Institute of Technology, as well as the country's leading hedge fund firms, they are mostly invisible to the public.

"There is something about the culture in American society today which doesn't really seem to encourage men or women in mathematics," said Michael Sipser, the head of M.I.T.'s math department. "Sports achievement gets lots of coverage in the media. Academic achievement gets almost none."

Ana Caraiani, 23 and a graduate student in math at Harvard, is a two-time Romanian International Olympiad gold medalist. "In Romania, math is not considered as something you need to be a nerd to do," Ms. Caraiani said. "Math is about being smart. It's about having intuition. It's about being creative."

Still, she says, it was not easy excelling in mathematics as a girl in Romania. In 2001, in fact, she was the first girl to make the country's Olympiad team in 25 years.

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1. Comment #263122 by Caudimordax on October 10, 2008 at 9:20 am

 avatarMy husband quit high tech and went back to school to become a math teacher. Some of his classmates who were there to get certified to teach elementary school made no secret of the fact that they thought math was useless! Here again we see mediocrity enshrined as a "democratic" virtue.

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2. Comment #263130 by lmsmall on October 10, 2008 at 9:43 am

 avatarIn my experience, as a student who grew up in southern Indiana, all elementary school teachers view teaching math as a chore, and most high school teachers aren't much different. I struggled all through school to pass math and viewed it as a chore until I got to college. It was still difficult for me, but the fact that I had teachers passionate about math kept me interested and I even enjoyed it...rarely. I'm glad I keep taking the highest math classes I can, not just because being able to do math in every day life is important, but because it has also helped me in my logic and reasoning.

Also: (boring)First post!

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3. Comment #263135 by Caudimordax on October 10, 2008 at 9:53 am

 avatar"Also: (boring)First post!"

Thanks. What's your point? Perhaps I didn't make my point as clearly as I meant to, but it was that anti-intellectualism pervades even schools where students are being taught to be teachers.

"We're living in a culture that is telling girls you can't do math; that's telling everybody that only Asians and nerds do math,"


In other words, even teaching students pull back from being as smart as they could be for fear of being perceived as "different" from their peers.

Other Comments by Caudimordax

4. Comment #263142 by evotruth on October 10, 2008 at 10:04 am

 avatarCaudimordax, lmsmall meant that he/she wrote the 1st post. Not that yours was boring!

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5. Comment #263144 by Caudimordax on October 10, 2008 at 10:05 am

 avatarThank you evotruth - hackles lowered ;-)

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6. Comment #263145 by quantum_flux on October 10, 2008 at 10:07 am

 avatarFeel free to blaim religion for this one Dawkins. People don't understand math and logic because they are taught that miracles happen at an early age. What good are statistics when God helps people win the lottory or God decides who dies from cancer? Or how about the adding of 2 loaves and 2 fish and getting 5000 baskets left over? Christianity has been anti-intellectual from the start, and therefore it is still anti-intellectual.

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7. Comment #263149 by mismos00 on October 10, 2008 at 10:14 am

 avatarWhy is this article here(?) but the article I submitted yesterday entitled "Does Religion Make People Nicer?" (which I found very interesting and I would have thought stimulated an interesting decision), not?

BTW, that article can be found on the Reason website.
http://www.reason.com/news/show/129304.html

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8. Comment #263151 by mismos00 on October 10, 2008 at 10:17 am

 avatarOh, forgot the obligatory, 'Religion sucks'.

So, just so you know, religion sucks.

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9. Comment #263153 by God fearing Atheist on October 10, 2008 at 10:23 am

 avatarYou are right mismos00, it is an interesting article that should be posted.

... but maths is important ...

I'll get me coat ...

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10. Comment #263155 by Caudimordax on October 10, 2008 at 10:27 am

 avatarMismos00 - I feel your pain. I've submitted a few article suggestions only to see the same article turn up here a week later and submitted by someone else. Is there a secret handshake or something?

Other Comments by Caudimordax

11. Comment #263157 by Caudimordax on October 10, 2008 at 10:32 am

 avatarMismos00 - it was an interesting article (the one you suggested) and it really should be here.

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12. Comment #263163 by mismos00 on October 10, 2008 at 10:42 am

 avatarHey, I love math, I have my degree in math, but I can only see very tenuous connections between this article and this site. This site is foremost a site that is anti-religion, anti-superstition and pro-science. This article says nothing about religion/superstition and the subject, math, is not actually science, although it is used by science. This site does tackle education occasionally, but usually only when it relates to creationism vs. evolution.

Also, I disliked the unchallenged assertion that "We're living in a culture that is telling girls you can't do math; that's telling everybody that only Asians and nerds do math", where in reality it seems that we 'actually' find ourselves in the situation where girls ARE NOT as good as men at math, and the Chinese ARE better than average at it. As soon as someone mentions that fact, then the mere mentioning of it becomes the reason for it?!?!?!?

And the "only nerds do math" was hilarious. I suppose next they'll tell us that it's a shame that all bachelors are unmarried.

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13. Comment #263167 by firstelder_d on October 10, 2008 at 10:48 am

 avatar
We're living in a culture that is telling girls you can't do math


They really are going back in time.

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14. Comment #263168 by Caudimordax on October 10, 2008 at 10:48 am

 avatar
girls ARE NOT as good as men at math


Most of the top math students at my husband's school last year were women.

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15. Comment #263169 by Bonzai on October 10, 2008 at 10:48 am

 avatarA lot of people are turned off by math because the way it is taught in elementary and highschool is boring. It emphasizes on rules and computation without paying much attentions to concepts. In addition the emphasis on testing requires the subject to be chopped into units without much attention paid to the conceptual unity of the discipline.

The general attitude towards math is that it is a necessary evil, something we need to learn just because we need to know how to do accounting, do out taxes and pay the bills and budget our expenses. The business people might tell you that you also need math in technology, and that our future "prosperity" depends on a math literate labour force. But rarely do you hear people telling you that apart from its utility mathematics is a fascinating and beautiful subject on its own, that it is an integral part of human civilization.

In general we are a society of Philistines when it comes to math (and many other things too)So while trying to "sell math" to students, educators, government officials, business people and pundits appeal always to *external* motivators rather than intrinsic ones. Well this is usually not a very effective way to motivate people, at least to people with some independce of thought.

To add to the problem, people who know math usually are not interested in teaching at low levels. Elementary school and sometimes even highschool teachers have not a clue themselves. A competent teacher probably does an ok job following a syllabus and a textbook but not much else.

In the former Soviet Union highschool math teachers had to study books written by the likes of Kolmogorov. In the U.S. and Canada training for highschool math teachers consists of doing a year of show and tell and other nonsense. You don't have to be a major in math to teach math.

Teaching math at an elementary level is a challenge. On the one hand, you need to teach the basics, but at the same time you don't want to turn math into a boring, mechanical kill and drill exercise that the "back to basic" people advocate.

Here is a guy who has some very interesting ideas about teaching math to very young children. He actually finds a way to explain Turing machines to junior high school kids. You may remember him as the nerdy gard student in the movie Good will Hunting (I hate the movie. I hate Matt Damon and I hate Robbin Williams with a passion :))

http://jumpmath.org/about/mighton

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16. Comment #263170 by comfortablydumb on October 10, 2008 at 10:49 am

Eh about half of my real analysis class is female, and my abstract algebra and topology classes had decent mixes as well. As a math student myself I had been under the impression things were changing in that regard, even that bastion of nerdiness the math club has been infiltrated.

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17. Comment #263172 by DamnDirtyApe on October 10, 2008 at 10:51 am

Hmm... America having a poor standard of mathematics in its citizens, at round the same time its economy goes into massive recession.

Oh course correlation is not always causation, but those are two pretty bloody close dots to join.

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18. Comment #263179 by Lucas on October 10, 2008 at 11:16 am

 avatarGood post Bonzai, but I'm not so sure about this part.

In the U.S. and Canada training for highschool math teachers consists of doing a year of show and tell and other nonsense.


A very close friend of mine is currently training as a high school math teacher in Oregon, and he sure has been at it for awhile. I think he's actually getting his master's in math education as well as his teaching degree at the same time, presumably so that he can teach at private schools as well as public ones. His wife is also about a month away from birthing twins, so how's that for needing math skills, eh? Poor guy, you should hear the quiver in his voice when he calculates his teacher's salary versus raising two kids versus paying back all those damn student loans.

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19. Comment #263180 by Caudimordax on October 10, 2008 at 11:19 am

 avatarI find it very strange that to teach high school math you need certification, but to teach people to BE high school math teachers requires no teaching certification!

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20. Comment #263182 by black_fire on October 10, 2008 at 11:23 am

But...but...Asians ARE good at math!

http://www.youtube.com/watch?v=RRxRKXbT4rU

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21. Comment #263187 by Bonzai on October 10, 2008 at 11:29 am

 avatarCaudimordax

Most of the top math students at my husband's school last year were women.


Just to be clear on this one. I don't think girls are inferior in math. Some very top notch mathematicians are actually women (google up Emmy Noether, Sofia Kovalevskaya or, for contemporaries, Dusa McDuff, Karen Uhlenbeck )

However, unless it is a special school, I wouldn't think doing well in math in highschool is an indication of mathematical aptitude. In most highschool math classes students can do well by just doing repetitive textbook exercises and do what they are told. I think the highschool math grade is just an indication of how well one takes orders. Now the prize exams are different. Doing well in those does prove mathematical ability.

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22. Comment #263188 by Caudimordax on October 10, 2008 at 11:32 am

 avatarBonzai - I should have been more specific. I was talking about the university where he was in the math teaching program, so those students were taking things like real analysis and abstract algebra.

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23. Comment #263196 by Overmann on October 10, 2008 at 11:46 am

No surprise, really. I was about to raise my fist and stomp my feet that I excel in math and am a US citizen but, alas, I was actually born in Germany.

On a different note, I attend basically an engineering university. It supports various other degrees, but the place is known for its engineering program. So I see a lot of engineers in my math classes, and I'm appalled at how much basic algebra they're missing in my differential equations class, for instance. Fine, they may not encounter DEs in their careers (wouldn't depend on that if I were them, though), but college algebra? Give me a break! Also, there are two females in my DE class, two in my Discrete math class, and only one in my Cal 3 class, whatever that means.

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24. Comment #263199 by InfuriatedSciTeacher on October 10, 2008 at 11:47 am

Caudimordax> I have no idea where you are, therefor I cannot cite specific requirements... However I know in good ol' bassackwards NC, the people running a teacher certification program have to pass accreditation. The programs I've seen, and the one from which I received my master's degree and certification required split hours between education courses taught by people with doctoral degrees in education or psych, and courses in the subject area of your degree, along with a thesis. I would make the assumption that the math folks had to deal with the same hurdles I did, so they've completed a minumum of 18 hours in each, plus internship in teaching and a thesis.

Not that I don't teach alongside people who took the undergrad route, have a total of 15 hours or so in a science, and are certified to teach something they know nothing about.

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25. Comment #263201 by mismos00 on October 10, 2008 at 11:49 am

 avatar"I don't think girls are inferior in math."

Maybe you haven't looked at the raw statistics then.

BTW, very good debate on this very issue with Steven Pinker...

http://www.edge.org/3rd_culture/debate05/debate05_index.html

"Some very top notch mathematicians are actually women"
And I know some deeply religious people who are highly intelligent. Do you see what I'm getting at?

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26. Comment #263205 by lmsmall on October 10, 2008 at 11:53 am

 avatarWhooaaaaa, Caudimordax, I meant that that was ~my~ first post on this site, and that is was boring! I was also trying to support your point that anti-intellectualism is evident in US schools. My teachers' lack of passion or interest for the subject rubbed off on me as a student.

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27. Comment #263208 by Bonzai on October 10, 2008 at 11:55 am

 avatarmismos00

Maybe you haven't looked at the raw statistics then.


Well if you have studied statistics you should know that "raw statistics" in general are decieving. You need to control for many factors.
Say, are women given the same level of support and encouragement? If you are a highschool math teacher I can see why your female students would think they should do other things than going into math.

Then of course it is possible that women find other things more interesting, but that has nothing to do with ability.

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28. Comment #263210 by Caudimordax on October 10, 2008 at 11:58 am

 avatarInfuriated - I wasn't suggesting that future math teachers are being taught by dummies, just that math teachers aren't being taught by certified math teachers. In medical school (I imagine) most of the classes would be taught by medical doctors, not by people with doctorates in education. Maybe it doesn't matter - my husband seems to have gotten a pretty decent education here in Connecticut.

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29. Comment #263213 by Caudimordax on October 10, 2008 at 11:59 am

 avatarImsmall - Don't worry, evotruth straightened me out on the misunderstanding.

Edit: It's an "all about me" problem.

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30. Comment #263218 by Wosret on October 10, 2008 at 12:04 pm

 avatarI'm completely ignorant of math. I can do basic multiplication, and division, and I'm pretty good at doing it in my head. I never use a calculator while shopping, I do quick averages, and always land within a dollar or two of my estimated total, but I couldn't even name other forms of math, let alone do them.

While taking my adult high school I took level 2 math (I think that it what it was called, something like that) and had mid 90s average, but then I missed some tests that I didn't make up near the end, and didn't study for my exam and got a 60 on it, and ended the course with a 68. I don't remember anything that I learned there anymore.

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31. Comment #263219 by InfuriatedSciTeacher on October 10, 2008 at 12:04 pm

Caudimordax> I'm sure he did... and this is a good point. Some, but certainly not all of the people teaching the methods courses (how to teach whatever) were former K-12 teachers. I don't know if they were in your husband's case, but they should have been.

*hackles lowered* sorry for seeming to jump at you on that one.. wasn't intended to be that, but it certainly reads like it.

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32. Comment #263220 by Bonzai on October 10, 2008 at 12:04 pm

 avatar
Infuriated - I wasn't suggesting that future math teachers are being taught by dummies, just that math teachers aren't being taught by certified math teachers


I don't think they need to be taught by certified math teachers. They need to be taught by real mathematicians.

John Mighton doesn't have a degree in mathematics education, but he has a Ph.D. in mathematics and is passionate about teaching children (a rare combination I must say) IMO he knows a lot more about teaching mathenmatics than people with doctorates in Mathematcal education, whatever that means. He knows because he knows the conceptual terrain involved and doesn't just teach out of canned textbooks with syllabus created as a compromise of educrates..

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33. Comment #263222 by liberalartist on October 10, 2008 at 12:04 pm

 avatarThis is an interesting article to read as I just came out of a meeting discussing how many freshman are failing their developmental math classes (I work at a liberal arts college).

Education in the US is very patchy, some students get the opportunity to be well-educated by good teachers, and have every advantage. Others get substandard teachers, under-funded schools and parents who don't know and/or care. All the ones inbetween get mediocrity.

The education problems of the US are cultural problems, some of which are addressed in this article. But I think the problems are much larger than stereotypes of math nerds.

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34. Comment #263227 by InfuriatedSciTeacher on October 10, 2008 at 12:08 pm

Bonzai> There's something to be said for being taught by BOTH. For the concepts themselves, and a modeling approach, I would definitely want to be taught by someone with training in the field of study. Yet it's also necessary to have some insight into how the students' brains are working, methods that are tried and tested for that age level, etc, and for these things the Math ed people would come into play. I do know (yes, argument from personal experience, no stats here) that a fair percentage of the professors I had as a Bio undergrad weren't particularly adept at teaching science in any form other than pure lecture.

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35. Comment #263231 by Wosret on October 10, 2008 at 12:10 pm

 avatarAlso, about the submitting of articles...one of the ones I submit about yuri daily will be posted eventually... I mean they have too, a lot of them involve Catholic school girls.

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36. Comment #263240 by Border Collie on October 10, 2008 at 12:21 pm

 avatarThey had to do a study to ascertain this? Like this is news ...
And, hey, one doesn't need to know math to flip burgers, vote Republican and wear your baseball cap backwards ...

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37. Comment #263258 by quantum_flux on October 10, 2008 at 12:49 pm

 avatarI'll flip burgers in my own backyard and wear my baseball cap backwards, and vote republican.... thank you! Oh what I wouldn't do for a soda right about now. By the way, whenever a girl says "I'm completely ignorant about math" I take it as the perfect time to introduce myself to her.

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38. Comment #263259 by 8teist on October 10, 2008 at 12:50 pm

 avatarI`m so bad at math I can hardly figure out how to use my calculator.:)

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39. Comment #263260 by rod-the-farmer on October 10, 2008 at 12:51 pm

 avatarTwo comments...

1) Perhaps the reason so few U.S. students are good at math is that they have been taught there is no need to count higher than 6,000.

2) I used to say that is was remarkable that so many women who worked with figures had good figures. Then I beat a hasty retreat.

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40. Comment #263266 by cerad on October 10, 2008 at 1:01 pm

 avatarSo what exactly do all those female Bulgarian mathematicians do anyways?

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41. Comment #263277 by Sciros on October 10, 2008 at 1:16 pm

 avatarStrippers and escorts. They're really good at making sure you don't cheat them out of their $ though.

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42. Comment #263288 by black_fire on October 10, 2008 at 1:33 pm

Dangerous Knowledge: Mathematics, Insanity, and God

Part 1: http://www.youtube.com/watch?v=L6vswYP7N3o

Complete playlist:
http://www.youtube.com/profile_videos?user=Rapax02&search_query=Dangerous Knowledge&search=Search

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43. Comment #263294 by Paine on October 10, 2008 at 1:46 pm

I participated in the Maths Olympiad in high school. Not the International one, but I made it to the national level.

The problems were ridiculously tough, but I do remember that it was one of the most beautiful experiences I ever had. It opened up areas of thought that I never knew existed.
I wouldn't go too far by saying that exposure to pure math really changes the way you think about the world. You begin to see that being logical is so much easier than cluttering the mind with extraneous and confusing nonsense.

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44. Comment #263297 by treeman17 on October 10, 2008 at 1:48 pm

 avatarI was very fortunate at my public high school in America to have a series of mathematics teachers who absolutely loved their discipline and passed that passion to me. I ended up graduating university with a degree in mathematics, and I credit them for fanning that flame.

There is still hope for us.

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45. Comment #263311 by qomak on October 10, 2008 at 2:32 pm

 avatarWow, I'm surprised to see an article about International Mathematics Olympiad. I almost made it to IMO 1999. Good old days and I remember the tough problem of 1996 (although there was another seriously tough one at 1998).

About the article, I completely agree. I have seen US books and they are terrible. Apparently, education in US means dumbing down the material so that everyone can go home and play a video game.

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46. Comment #263312 by Bonzai on October 10, 2008 at 2:32 pm

 avatar8theist

I`m so bad at math I can hardly figure out how to use my calculator.:)


You think that is a joke?

I taught for a semester at a community college. In the first test I didn't allow calculator (they actually didn't need to use calculators for the questions) There was a huge complaint to the Dean. The Dean explained that it was a psychological thing, these students needed to have a calculator around to feel secure even though they might not need it. So in the next test I allowed calculators even though they still didn't need them.

Then I saw this student with not one, but two calculators. Being very curious, I asked her why. "To double check", she said without batting an eye. I said, "O...K." I walked away finding that rather amusing.

After the test she was in tears. I asked her what was wrong. She said, "My god, I am going to fail the test.. I didn't know how to use either of the calculators!"

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47. Comment #263315 by Wosret on October 10, 2008 at 2:42 pm

 avatar46. Comment #263312 by Bonzai

That's bullshit, that never happened. Shenanigans I say!

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48. Comment #263316 by Bonzai on October 10, 2008 at 2:46 pm

 avatarI swear on my honour that it did!

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49. Comment #263317 by Wosret on October 10, 2008 at 2:49 pm

 avatar48. Comment #263316 by Bonzai

"Double check", it sounds like such a contrived blond joke. I guess I'll believe you though. Wouldn't want to insult your honour.

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50. Comment #263320 by robotaholic on October 10, 2008 at 3:14 pm

 avatarhaaaaaaaaaaaaaaa, & i never laugh out loud while reading, thx

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