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Over Our Heads

33 点作者 gabriel将近 16 年前

6 条评论

bokonist将近 16 年前
In general, people tend to view their own level of book smarts as the optimal level. In high school a fellow student was a math genius who made into the U.S. math Olympiad at age ~14. He could do fractions in his head to multiple significant figures. In my mind I would come with justifications about how I was more rounded than him, and that he was too focused on math. Meanwhile, my brother always had much more trouble with math than I did. He would criticize me for being too nerdy, too into math, and "working too hard". Of course, to me it was fun and rewarding. I was good at it, so I did not view myself as "working too hard". In turn, the jocks at school made fun of my brother for being too nerdy. He would criticize them as being "dumb jocks". Meanwhile the jocks would make fun of the special ed kids for being so dumb.<p>Ability varies. Some people are innately good at math, some people are not. No one wants to have a value system where they are inevitably inferior. So people develop a value system in which their natural ability level is the ideal level.
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christopherolah将近 16 年前
I blame the teachers. Not all of them, just two major categories.<p>Category #1 ``Math Illiterate Teachers'' : These teachers don't actually know any real math. They memorize a lesson out of the texbook and present it to the class. The problem is that it convinces students that math is magic: it works, but don't ask why.<p>Category #2 ``Underestimaters'' : These teachers are competent in their subject, but have given up on the majority of their class. These students are already convinced that math is magic and attempts to teach math in any way but rote memorization result in loosing them. Thus they give endless `examples' and `special cases' and `flowcharts' in hope that these students can memorize enough to pass the finals and go on to be art students.<p>I've talked to both categories of teachers. #1 is generally aware that they know nothing, but feels it is unimportant (one told me that other teachers down the road would be able to explain things so she just had to get them to do things). #2 generally feels that this is the only way possible: some students just can't grasp math.<p>Another part of the problem is textbooks. IMHO, they over-complicate topics by giving to much explanation. Brief answers are easier for students to grasp and make the textbook more approachable. You can break concepts into smaller concepts and give secondary more detailed explanations where necessary instead. I'm working on writing a open source math textbook on this approach (sorry for self promotion): <a href="http://christopherolah.files.wordpress.com/2009/01/math1.pdf" rel="nofollow">http://christopherolah.files.wordpress.com/2009/01/math1.pdf</a> . Feedback and help are appreciated.
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xel02将近 16 年前
The article mentions that one of the consequences of numerical illiteracy is the formation of a technocracy. From the looks of our current culture it seems like the opposite. Government is filled with politicians not of a scientific/mathematical background but instead capable of rhetoric (or not capable at all =D).<p>I think the actual effect is that a government stagnates technologically because the numerically illiterate masses tend to vote for people who share their opinions, and hence there is a void of technocrats in government.<p>The trend seems to be changing now though, possibly because those 'smart' people (like the readers of HN) are making money, and impressing others. Blogs probably also increase the sociability of 'nerds' and they are sharing their opinions in a medium that the masses can read and appreciate.
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quoderat将近 16 年前
I love math and recognize its supreme importance, but anything beyond long division is beyond me.<p>Some people have dyscalculia:<p><a href="http://en.wikipedia.org/wiki/Dyscalculia" rel="nofollow">http://en.wikipedia.org/wiki/Dyscalculia</a>
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Dobbs将近 16 年前
Felt this was relevant to the article: <a href="http://www.maa.org/devlin/LockhartsLament.pdf" rel="nofollow">http://www.maa.org/devlin/LockhartsLament.pdf</a>
robryan将近 16 年前
I find the issue runs in programming as well although less important in day to day life it is certainly an advantage to know whats going on with the programs and websites the average person uses.<p>What I find more frustrating is when people in computer science courses basically dismiss something your explaining to them to be over there heads.