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You're familiar with <a href="http://en.wikipedia.org/wiki/Godwin%27s_Law">Godwin's law</a> I'm sure? As the wiki article says, "there is a tradition in many newsgroups and other Internet discussion forums that once such a comparison is made, the thread is finished and whoever mentioned the Nazis has automatically "lost" whatever debate was in progress." Even if you have the truth on your side, if you are reduced to calling your opponent names, you automatically lose by default. You believe there are no inherent gender differences in math performance. That's fine. There's nothing wrong with that. But you also believe that your belief is the one righteous Truth and the unbelievers are morally inferior sexists. Because you think that way, anyone who actually discusses the issue with you is wasting their time. |
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But not in mathematical ability. You know, tofu, I'd advise stopping this whole 'which gender is superior in what' line of thinking. You don't have to tear half the species down to bring yourself up.
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The dose makes the poison--Paracelsus (1493-1541) http://en.wikipedia.org/wiki/Paracelsus I don't know. That's why I'm asking--Noclevername Intelligence may not be clearly defined, but you know stupid when you see it--Noclevername Science is a way of thinking much more than it is a body of knowledge--Carl Sagan (1934-1996) |
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Darn tootin'! ![]() BTW, as you are the resident mathematician, I need to ask you some questions about categorification and knot theory after reading very mushily-written article in New Scientist about this, so don't go anywhere! ![]()
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The dose makes the poison--Paracelsus (1493-1541) http://en.wikipedia.org/wiki/Paracelsus I don't know. That's why I'm asking--Noclevername Intelligence may not be clearly defined, but you know stupid when you see it--Noclevername Science is a way of thinking much more than it is a body of knowledge--Carl Sagan (1934-1996) |
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Paracelsus did, and I responded to her. And you (with your brain still full of dopamine after she called you the defender of her gender) decided to argue the point with me. But now you say that you didn't call people who disagree with you sexist? You want to back down? That's fine with me and wise of you.
As far as I'm concerned, if you or anyone else does it again, then that person officially loses the debate, even if the science is on their side. This is my corollary to Godwin's law. Anyone in this forum is free to believe whatever they want, and to argue whatever they want, and if that bothers you so much that you become emotional and revert to calling them sexist, then you lose. Quote:
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Paracelsus, this is going to come as a shock to you, but my ego is not attached to my sex. I'm not on "the male team" and I'm not participating a battle of the sexes. Evolution and biology is incredibly interesting to me and that’s why I’m in this discussion. But I'm an individual. I don't take it personally that the majority of people who happen to share a chromosome with me are disadvantaged in the language department. That doesn't affect *me* at all. It has absolutely no bearing whatsoever on my life, so long as nobody is discriminating against me. It's an interesting question from a scientific standpoint, but it would be very silly and immature of me to link my personal identity to it. Here, maybe you can understand this. This is an example of a logically parallel issue: Males tend to be taller than women. Should that make me feel superior? Why? I am not "males." I am a male. It turns out, I am below-average height (I'm 175cm, while the average is around 180) So, what does the statistic mean to me, personally? It meant that when the dice were rolled before I was born, I had a chance of being taller. But I'm not. I'm born now and *this* is what I am. Should I cheer for my "team?" I can't imagine why. However, it is still an interesting issue that I'd like to discuss. I'm interested in science. I'd like to discuss the environmental conditions that led to the evolution of sexual dimorphism. I'm not going to cry about it. I'm not going to call you a sexist if you point out that men tend to be taller. That doesn't make men superior. It's just a fact. |
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We have more than one!
![]() Luckily, since math is...big. Quote:
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Let's start a new thread about it, rather then bump this rather unlovely one. Am still howling with laughter over tofu's last post, and after the day at work I'm having today, I needed the laugh.
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The dose makes the poison--Paracelsus (1493-1541) http://en.wikipedia.org/wiki/Paracelsus I don't know. That's why I'm asking--Noclevername Intelligence may not be clearly defined, but you know stupid when you see it--Noclevername Science is a way of thinking much more than it is a body of knowledge--Carl Sagan (1934-1996) |
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http://arxiv.org/PS_cache/math/pdf/9802/9802029v1.pdf |
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Hey, that's good! You came in here in denial about gender differences in math performance. Then you became angry, calling anyone who dared to disagree with you various names. I suppose laughter is a little bit like bargaining. Bargaining is step 3. Soon you'll go through a period of depression, and come out of it with acceptance. Good for you!
And the next time you're faced with this situation, just be careful to avoid letting emotion enter into it. Disagreements are OK. Don't try to silence people with your labels. But yeah, like I said, way back in July when Disinfo Agent started this thread, the thread was about a study published in Science by Hyde, Lindberg, Linn, Ellis, and Williams. In spite of the problems with that study, they found a greater variance among the math scores of boys. That pretty much settles the issue, although I can find other studies to back it up. Looking back at your last post, I noticed: Quote:
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This has all been covered quite extensively in the thread. If the above statement is the sum of your understanding of the evidence, all I can say is, read the thread and make a case that my summary of it was in any way lacking-- which you have so far failed to do. Also, be sure to pay attention to the rather crucial point that your above remark curiously ignores-- the issue of the thread was innate gender differences in mathematical ability, controlled for discrimination and environmental effects when they are present. Or don't you understand the difference?
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I believe I was in this thread before you. Have you read the entire thread?
first you go read the actual study - not just newspaper articles about it. The study found that while average scores are about even, there is a small difference in variance. This, in spite the obvious problems with the study, namely that they used State assessment tests that are not difficult enough to properly reveal any difference. If I gave every member of this forum a math test with questions like, "what's 2+2" then I would find that nearly everyone could score 100% and I could proudly claim no differences between the genders. The tests they used are the product of No Child Left Behind, which means every school teaches to this test - preparing students to pass this test. A real study would use sufficiently difficult questions so that the average score was somewhere in the middle. Nonetheless, even with this flaw (and the bias of the researchers, which I'll get to later) the study found the variance difference. And there are other studies as well. The one I especially like is Hedges and Nowell, 1995. This is well-established scientific fact. People like you, who have a moral objection and an emotional investment likely squelch or bias other research. Quote:
Anyway, your primary counter argument is tautology. I'm content with the findings of the Hyde study, and the one that posted above. I pose to you the same question that I posed to Paracelsus. Do you think there are any average cognitive differences at all between males and females? |
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"For example, they compared the variability in boys' and girls' math scores, the idea being that if more boys fell into the top scoring percentiles than girls, the variance in their scores would be greater. Again, the effort uncovered little difference, as did a comparison of how well boys and girls did on questions requiring complex problem solving." I will presume you don't need an explanation of the difference between your reference to a "small difference" and what is actually a statistically significant difference, as that is basic statistical analysis. Quote:
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The study you refer to is not in any way controlled for environmental factors. As such, the finding of increased variance cannot be traced to innate gender differences, and is in fact quite easily accounted for as an environmental factor. If boys who show promise are mentored by their male mathematics teachers, they will likely excel, and if boys who are good in sports and show less mathematical promise are discouraged from redressing their shortcomings, they will fall behind the curve. I cannot say for sure that is what is happening, but it seems a far cry more likely than invented innate differences. In any event, the logic is that the claim of any innate difference is simply not supported by the study you quote, and I'll bet they do not claim it does, being competant scientists. If this point is still not clear to you, I would point out a similar example. If you look at the top scores in mathematics competitions in high schools in the US, you will always find asian students are disproportionately represented, by a large factor. By your logic, this implies asians have a difference in innate math ability. By my logic, it means no such thing, for it could also be (and likely is) a cultural difference about educational priorities among asian children. Quote:
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ETA: This question is relevant to issues such as appears in http://www.sciencedaily.com/releases...0124104155.htm, which states: "When coupled with strong implicit stereotypes about females' math competence, those women who do maintain strong identification with being female may be particularly vulnerable to leaving math and science fields, regardless of their mathematical prowess. Thus it appears that even when consciously disavowing stereotypes, female math students are still susceptible to negative perceptions of their ability. " This is the kind of issue that any scientific effort to establish innate differences will need to control for, and indeed I not only suggested ways it can be controlled for, but other studies were cited in the thread that did exactly that. Guess what they found? Last edited by Ken G; 06-November-2008 at 04:00 AM.. |
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The authors of the study (the Hyde study, the study referenced in the OP of this thread) feel that this difference is not significant enough to explain the disparity of PhDs, but that's not the same thing as being not significant at all. Indeed, the authors say that their data predict twice as many males than females should be in PhD programs. Their findings predict 33% female participation, but reality shows only 15% participation. A prediction of twice as many males than females is rather significant. So once again Ken, you're wrong, and not on a matter of opinion but of fact. After the beating you've taken from Drunk Vegan earlier in this thread (starting around page 14 he referenced numerous scientific studies, but you have posted not one single shred of scientific evidence), I would think you'd be more careful about what you say. At what point do you step back and say, "wait a minute, some of these things are just matters of opinion, but some things, like whether a study showed variance (where I quoted you above), are not matters of opinion - and it seems that I get a lot of those kinds of things wrong, hmm, maybe I'm wrong" You haven't posted any evidence at all to back up your claims. parejkoj helped you out by posting one study, but you've done nothing at all. Honestly, you're not very good at this. Also, I'd be willing to bet that you didn't read parejkoj's study either, because you're probably thinking it contradicts the two studies above. Unfortunately for you, that's not the case. parejkoj's study, which can be found here concluded that the gap in average scores is disappearing, but what did it say about variance? Well, here's a screenshot from page 18 of that study: ![]() Whatayaknow, variance. Thailand, Iceland, the UK, and Indonesia are outliers. I wonder if they've achieved this by discouraging boys to pursue math - hey, maybe we can do the same in the US! (as an interesting side note, parejkoj's study found that the gender gap in average (not variance, but average) geometry was unaffected by social equality - I guess that'll be the next thread where people like Ken G take a haughty moral stand against the facts) Finally, just to beat the horse entirely into the ground, here's another study (we'll call this one Hedges) that shows the same thing, only more significantly than Hyde. Let's recap the central question of this thread: what evidence exists that there is any innate difference in mathematical ability? The answer is, there a consistent difference in variance across ages and cultures. This answer is supported by (among others): 1. The Hyde study (which found this difference, in spite of flaws that would mask such a difference) 2. The PISA data (shows the difference across all cultures) 3. The Hedges study This issue is closed. The science is quite clear. If you're unable to accept the science, I will join you in the ATM forum and patiently continue explaining it to you. Quote:
I tried to give you an example of the effect this would have on the study, and your response was that the example was "an absurd argument." Maybe if you brought more to this debate than just your religious-like conviction that your opinion must be right, because your opinion is the only one that's moral and ethical, you might spend some time thinking about what I'm telling you. But I'm very patient, so I'll repeat myself. The Hyde study used tests that were too easy. If I gave you and Isaac Newton a test that included only questions like, "what is 2+2" then both of you would do very well on that test and I might conclude that you both have equal aptitude. But that's not true - my test is faulty. To find the truth, to differentiate between you and Newton, would require, at the very least, a test of basic logic. With that more difficult test, Newton would come out ahead. Multiple studies, posted above, show a difference in variance. But if you use too easy a test, and if the teachers teach to that test so that the students simply regurgitate answers, then you mask the difference. And the Hyde study's authors state that the test is too easy. I'll wait about 24 hours, and then explain all of this to you again. |
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"There just aren't gender differences anymore in math performance. So parents and teachers need to revise their thoughts about this." But you can ignore that, for whatever reason you have. Quote:
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Furthermore, I note that you completely ducked my point about asian student math performance. Having a hard time swallowing that one, are you? Doesn't fit into your world view? But since it does fit your logical approach, you are forced to reach a far stronger conclusion about asian math aptitude. Quote:
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And around and around we go.
Repeating my question:
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I say there is an invisible elf in my backyard. How do you prove that I am wrong? Disclaimer: Avatar is not an official NASA image and does not imply any specific interplanetary or interstellar capability. The Leif Ericson Cruiser |
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Here are two, admittedly anectdotal but nevertheless telling, examples that, at least to me indicate that standardized IQ tests are not good indications of research potential. Richard Feynman was once invited by a MENSA member to join that dubioius organization. He responded to the effect that he was delighted to decline on the basis that he did not meet the stated requirements of MENSA with regard to IQ. So far as I am concerned that speaks more to the validity of the IQ test itself than to Feynman's purported shortcomings. A senior mathematican with whom I had numerous discussions while in graduate school once told me that he had a tested IQ of 105. That is not particularly high. He is one of the smarter people with whom I have the pleasure of working. I have had that pleasure with truly smart and accomplished individuals -- and their IQ was never an issue. I remain completely unconvinced that intelligence tests are good indicators of research capability or potential in theoretical science. And as an aside, I find your general tone in addressing Ken G rather distasteful and arrogant. |
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Talking about going "around and around," you are repeating your question? The fact is, I will persevere until the difference between innate and environmental factors is recognized. This is actually quite an elementary point, which is the only reason I have any hope of success.
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This is too much fun. I can't wait the promised 24 hours!
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Since you're quoting Hyde, I might mention that her curriculum vita makes it abundantly clear that she is not a neutral observer here. Fortunately, she does have academic integrity, and the actual study includes the truth, which I'm happy to keep posting over and over again, each time you give me an opening. But when she conducts an interview, she's spinning it or the reporters are spinning it or both. That's why somebody has to be willing to go look at the data. Good thing I'm here, eh! And good thing you brought me out of lurk mode my refusing to accept my rebuke about ad homs! Quote:
But anyway, here's the evidence again, straight from the Hyde study: They found a greater variance in scores among boys than among girls. The variance was always greater for males, and showed no particular trend. The maximum ratio of male variance to female variance was in the 8th grade, where the ratio was 1.21. It was lower among 9th graders, went up in the 10th grade, and down again in the 11th. The Hyde study authors say that their data predict twice as many males than females should be in PhD programs. Their findings predict 33% female participation, but reality shows only 15% participation. So in other words, based on the predictions of their study, 33% of PhDs should be female. (in fact, only 15% are. This would be where discrimination, if any, lies) The fact that twice as many males *should be* is quite significant. I also put the central significant point in bold because you're probably not reading this sentence. But if you are, think carefully about the part after the comma in the bolded sentence. See if you can figure out what that means for environmental factors (hint: think about lead poisoning) Quote:
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And this is predicted by the greater variance in math scores among males. Quote:
1. the Hyde study (I've heard this one got a lot of press), which found a consistent difference in variance between males and females. 2. the PISA study, which found that variance to persist across cultures (that is, not a cultural artifact) 3. the Hedges study, which also shows a difference in variance, and which I feel is much more rigorous, and lacks much of the bias of Hyde. Quote:
I'm all in favor of sending a control group of math majors to Mars, if that's what you mean. Quote:
![]() Admittedly though, this study did not have a control group on Mars. Oh, this next point is so rich I can almost taste it! Ken believes that differences in performance here in the US are due to environmental factors like discrimination. I found a country where women outperform men, and with tongue planted firmly in cheek, I parodied his own argument by saying: I wonder if they've achieved this by discouraging boys to pursue math. Ken, oblivious to this because he's in knee-jerk, disagree-with-everything mode, responds (to his own line of reasoning): Quote:
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I can accept the fact that I may be wrong. I've "seen the light" on issues before (GW for example). But I will not sit still and be attacked personally. Nobody has a free pass to call me, or anyone else, a sexist for essentially claiming that humans are *gasp* like every other animal on planet Earth. The bottom line is, she lowered the discourse as far as I'm concerned. I reengaged to correct her. Here's my response. I think I was very polite. Ken G then inserted himself and was quite flippant, right in his first sentence. He went on to say my side of the argument is completely unsupported by evidence. Really? I posted studies. Drunk Vegan posted studies. He waives all of that away with a flip of his hand. And the best part of all of this, he's wrong! Paracelsus is wrong. They're wrong and they don't respect those who disagree with them. They've earned a good rhetorical lashing. Just think about it: Ken G has posted nothing. Nothing at all. He doesn't even read the studies that I link to. This is the standard bearer for my opponents in this thread. Logic wont work with him, or anyone like him. Please allow me to at least have some fun with it. |
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Oh god, this is too much! My sides hurt. It's hard for me to type, but I have to ask, why is states in quotes? If you read that sentence aloud and do the little quote thing with your fingers, it's just such a wonderful image. I imagine you thinking something like, "these supposed 'states' which you claim exist but have no evidence for." Uh, here's a map. "This map doesn't control for plate tectonics!"
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In mathematics departments some tests are administered, with limited success. But the artiber of who is awarded the Ph.D. degree remains the production of an acceptable dissertation containing a significant original piece of research. That is actually the sole unalterable requirement for the degree. If mathematicians cannot judge the "mathematical capability" of prospective Ph.D's with a simple test, what makes you think that others can judge "mathematical capability" in a meaningful way with such a test ? |
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