Subject: Heredity. Or lots of "suspicious accidents." (nm)
Author:
Posted on: 2014-12-16 22:03:00 UTC
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OT: A random thought. by
on 2014-12-15 03:15:00 UTC
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Physics is to mathematics what literature is to languages.
Both physics and written works can describe things in the natural world in great detail, the former though numbers and the latter though words. Just like how someone can be inspired by a well-written short story, we can also see beauty in the derivation of an equation: consider the derivation of Kepler's laws of motion, the equations that govern stellar motion. Indeed, the word "mathematics" comes from the Greek word máthēma which means "knowledge" or "learning". It's a language of proofs, if you will.
And yet many people complain about mathematics! We've all heard of the stereotypical student that curses their math homework, saying that they weren't cut out for it after failing to solve a few problems. They all say the same thing, too. "But we're never going to use a quadratic/integral/exponential function outside of class!" or "What's the point of imaginary/irrational numbers?" and my favourite: "Teach us something useful!" Well, that's where they're wrong. Sure, maybe you won't use the equation per se, but math teaches you how to organize your givens, plan out a solution, execute it, troubleshoot, and solve problems. It's all in the process, not the formulas. Mathematics teaches discipline.
You see, math is exactly like any other language in the world: you have to study the structure, read about it, and never stop practicing. All of the above complaints sound like someone writing 2-3 sentences in a different language, realizing that the structure is wrong, and then loudly proclaiming that they weren't meant to learn French/Spanish/English/what have you. Furthermore, people seem to think that being mathematically illiterate is slightly embarrassing yet completely acceptable. It boggles my mind how people can take this so lightly!
I suppose that there's not really a point behind this spiel besides wanting to put this out in the open. D'you guys have any thoughts on this? How do you feel about math? -
Did someone say Math? by
on 2014-12-15 15:39:00 UTC
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I love mathematics. It's mentally stimulating, and keeps my brain from going completely to rot. Hell, sometimes when I'm unable to play games/read/watch TV/whatever, I'll just start doing math problems out of sheer boredom, just so my brain doesn't go to waste.
I'd try to use physics in the things I write... but unfortunately, I failed that class. The only class I've EVER failed, actually. That was very upsetting at the time, and failure is something I've never gotten used to.
I'd love to be able to incorporate it, though. Like explaining to a Sue just how much force that bullet is packing. Said bullet is as thick as my thumb, and being fired from an anti-tank rifle. -
I may be slightly biased... by
on 2014-12-15 15:21:00 UTC
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But I'm currently in my second year of maths at Uni. I love maths, not all parts of maths I'll admit (Damned statistics) but as a whole and as a subject it's a real beauty of a thing to study. I've always liked maths, and I've always been good at it, and I've watched others through my school life just struggle at it, and indeed, especially in GCSE, using sayings like the ones you've mentioned. I think, in some ways there is discipline to be learnt through maths, but it's got to be uncovered, and that is where most people fall short, they can't do it for whatever reason and after their education is finished they leave maths behind quoting "I'll never need it again." Forgetting how much it'll still crop up in their everyday lives (it is an interesting thought, think about just how much maths comes into your lives on a normal day).
The thing is however, that at the moment at Uni, I'm really starting to see just where Maths comes into play in the real world, Statistics being used to not just find out probabilities but being used so that trials for life changing drugs can be done quickly, efficiently and effectively, I see Operational Research algorithms and the like that can be applied to anything from making sure trains and planes run on time to making sure your favourite store doesn't run out of stock of a particular item and making sure it makes as much a profit (at the lowest cost) possible, we've used programming languages to sort out huge quantities of data for us and then work out whether the normal distribution applies to it or not, whilst we can also write code to make a program solve a quartic equation at the press of a button.
The thing I'm trying to say is that maths ISN'T useless, it's not something that just belongs back at the classroom and has no real place at work, it's a really beautiful thing, a language that is expressed in so many ways and that expresses the fundamental workings of our society today. It's a real shame people want to tun their back on mathematics, because if they continue to do so they may just continue to turn their backs on the society they know and love, and watch it fall to pieces.
Storme Hawk
An afterthought: Have you seen how many people need a calculator to add things up these days? -
I know, right?! by
on 2014-12-16 04:19:00 UTC
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I was actually good in math back in school (alas, law does not give one many opportunities to do math), but I'm still surprised at how quickly my mother could add and subtract multiple-digit numbers in her head while I'd need a calculator, or at least a pen and paper, to calculate that quickly.
Then again, being that she is Haitian and a child of the '50s and '60s, I'm willing to guess that the educational standards she had to contend with were a lot higher than modern American mathematical standards... -
Okay, I'll try not to get my head bitten off here. by
on 2014-12-15 14:02:00 UTC
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I hate math.
I've struggled to scrape by in my math classes since fifth grade, though I've had problems since third grade. (It took me three months longer than everyone else to finally figure out how long division worked.) Someone asks me what 6x2 is, I panic and answer 24. For some reason, I have math anxiety and it all kind of steamrolls into one big vicious cycle: I panic, I mess up, I think 'I can't do this', I panic more. I wish I could say I was kidding when I say I had to retake a semester of Algebra II because I flunked it.
Of course, I suppose it could stem from my fifth grade teacher, who took an immense disliking to me on the first day. She started taking off points because I'd answer a question as .23 instead of 0.23, even though they're worth exactly the same. And she always belittled me, my math especially. I don't know why.
And pre-calculus really killed it for me when my teacher kept insisting polar coordinates were absolutely necessary for pilots. When I asked my dad (who is a pilot) about polar coordinates, he just gave me a blank look and said, "What?" He'd never heard of them and after I explained them, he said he's never had to use them in his twenty-some years of flying.
Numbers just don't 'click' for me. Even when presented with a simple problem, all I see is scribbles for a moment before I'm like, 'oh, numbers'. My parents had me tested for dyscalculia, but nope, that's not it either.
Tl;dr I either have some illogical hatred of math thanks to a vicious cycle of self-pity or my fifth grade teacher instilled it in me. Sorry if you were expecting an eloquent comparison of math to language. ^_^' -
Don't worry, half my course-mates can't do long division by
on 2014-12-15 15:47:00 UTC
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But on a more serious note, it doesn't exactly sound like your fifth grade teacher helped. I can see the point she was probably trying to make though, if you write .23 instead of 0.23 then it's easier to miss the decimal point, looking at .23 it's easy for someone to assume that especially when it's handwritten the decimal point is just a mark of some kind and you're actually writing 23. by putting the 0 in front of it, so it reads 0.23 you're forcing whoever is reading it to look for that decimal point after the zero, because the normal way to write twenty three is 23, not 023, despite the fact that they're the same, so they're expecting that decimal point to exist. If you're speaking it however, the fact you're most likely saying "point two three" (or "Point twenty three") should eliminate the need to state the zero in front of it, although it could never hurt. Either way taking marks off because of it is silly and doesn't really help in any way. Sometimes you get teachers like that, they never help.
Storme Hawk -
Nah, it's all good. by
on 2014-12-15 15:37:00 UTC
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...though as a physics major, I have to admit that I'm pretty biased in terms of my outlook on mathematics :P Listening to someone with a different opinion is really interesting!
Yeesh, it sounds like you had the math teacher from hell. Although I can understand why she took points off for the .23 (one should never omit the the leading zero because the number might accidentally be read as 23-- equations should be able to be read and understood at a glance), the personal thing she had against you is just plain wrong. I can't imagine how much pressure you must've been under during your fifth grade.
I'm still intrigued, though: what is it exactly about a math problem that causes so much distress? What is the specific element that provokes the "I can't do this" reaction you speak of? -
I'm not really sure. by
on 2014-12-15 17:26:00 UTC
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The best I can say is that when I see a math problem, my brain just goes "GAH NUMBERS WHAT EVEN." Yes, this is even for simple stuff. I guess it's just a case of math anxiety.
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Are you on the autism spectrum? by
on 2014-12-16 00:19:00 UTC
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It might just be me and not a spectrum thing, but- I'm good at math, and yet I still have a similar initial reaction. Not "I can't do this," but if someone puts me on the spot, for any problem beyond very simple single-didgit addition that doesn't add up to more than ten, I'll go "um" for a little while that always seems like a really long time until I can actually math.
And I like math! o_O
Also, your fifth grade math teacher sounds like my sixth grade math teacher. I got pulled from her class, ended up in an eighth grade one until the para they put there decided to stop coming, then got put in an online one. (Also eighth grade, because they didn't offer a sixth grade one, I guess.)
So, yeah, our math experiences are obviously pretty different, but your "panic reaction" sounds a lot like mine. -
Not as far as I know. by
on 2014-12-16 12:02:00 UTC
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When I got dragged in for dyscalculia testing, there was a bunch of other stuff I was tested for, including autism and I came up negative for everything.
Still, it sounds like we have pretty much the same reaction. And experiences. *offers internet hugs* -
I don't know about the same one... by
on 2014-12-16 12:39:00 UTC
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...in my case, it's my reaction to being out on the spot with anything I haven't completely memorized. And even things I have, since my brain has to check and double-check and triple-check and...
I'm bad at *mental* math, though. I lose my train of thought really easily.
(Oh, dangit. I'm ellipsis-relapsing, aren't I?)
But yes, internet hugs. *hugs* -
My stance on math is... by
on 2014-12-15 13:52:00 UTC
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That I like as long as I understand what the problem wants me to do and how I'm supposed to do it. Which means I'm probably not going to take higher-level math courses like calculus or physics, but I'm perfectly all right with algebra and statistics and whatnot. Is this an acceptable thing to tell myself?
I love your theory, by the way. Why didn't my math teachers ever tell me that math taught discipline?! -
It's entirely up to you. by
on 2014-12-15 16:03:00 UTC
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I'm biased, of course-- being a physics student does this to you-- but I'd actually recommend taking a calculus course or algebra-based physics to that you can at least dip your toes in the metaphorical knowledge pool. There are wondrous things to discover in either subject-- for example, calculus gives a big boost to geometry when it comes to explaining the osculating circle and physics can break down the math behind some complex-looking phenomena.
I'm glad you like my little metaphor. I actually spent quite a while putting it to words! -
*like it. Oops. (nm) by
on 2014-12-15 13:52:00 UTC
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When you put it that way... by
on 2014-12-15 13:18:00 UTC
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Math is down there in the list of languages I don't want to study, along with Chinese (too complicated), Bahasa Indonesia (too obscure) and Etruscan (deader than Latin which, I might add, is the coolest language ever).
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My Thoughts by
on 2014-12-15 10:15:00 UTC
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Personally, I have never really understood the vehemence with which some students dislike math. So far as I can determine, though, it is exactly like you describe it. They try this or that once, and when it doesn't immediately click they simply through their hands in the air in disgust and give up.
I grew up in an area with very high educational standards, and I was raised with that critical understanding that learning is crucial to one's success in life. Let me preface my next statement by saying that my old home was not some intellectual paradise, and I was often among those who simply phoned it in on certain mathematical principles when they were beyond my grasp.
That said, I moved for my last year of high school to a part of the country rather infamous for its low educational standards, and it was very noticeable from day one. Most glaringly, I was assigned to a math class teaching concepts I had learned two years before like they were new material. Obviously, this is simply a case of different curricula not lining up exactly, and we later went over at least one concept that I had learned more recently at the old school.
Still, my new home is worth mentioning because of the values dissonance that I noticed in just about every one of my new peers. I'm in a part of the country now that puts very little weight or import on education, and sometimes glorifies the state of being uneducated. Even among my naturally more intelligent friends, apathy toward their grades and the educational system in general is the norm.
This was noticeable in more subtle ways, as well. The standard of living for my teachers declined, the library shrunk, and the maintenance of the school itself went downhill. Both of the schools I attended were nearly equivalent as far as proximity to an urban center, the number of students present, and the classes offered. That said, the new school received a smaller budget and spent a larger percentage of that budget on funding the sports teams and various extra-curricular activities rather than the library or more advanced classes.
That's not to say I didn't enjoy the dances or the block party, and being the top student in several classes was definitely a good feeling, but sometimes I wonder how much more I would have learned if that last year had been in the same school as all the others instead of somewhere far away. -
It's really heartbreaking... by
on 2014-12-15 16:24:00 UTC
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...to see that the government doesn't want to put more money into the education system. Kids are the future in every sense of the word! They'll make up the workforce in 25ish years, they'll be the ones to vote, they'll run for office, etc, etc. If we don't equip them with the basic knowledge and the motivation to learn that's needed to be competitive in the global market, we might as well just raise them on internet and TV and mass media, right?
...oh, wait. -
It's been said of democracy... by
on 2014-12-16 11:44:00 UTC
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... that it's the worst form of government, except for all the others we've tried. ^_~ In particular, it promotes short-term thinking - why bother planning further ahead than the next election? There are significant forces in politics who, if aliens showed up and declared they would destroy the world in ten years, would vote against funding any sort of countermeasures, on the principle that it would require raising taxes and annoying the voters.
So yeah, the Youth Of Today will be the population of tomorrow - but they won't be voting in four years time, and if you can keep taxes low by cutting education, you're likely to get more people voting for you. Repeat ad infinitum.
Fortunately, the solution is really simple, and doesn't require changing anything about the political system. All you, personally, need to do is vote for the party/candidate who has the long-term good of humanity in mind, not the one who's willing to create massive long-term damage for short-term gain.
The difficult part is getting everyone else to do the same thing...
hS -
There's always going back to absolute monarchy. :P (nm) by
on 2014-12-16 20:21:00 UTC
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I vote for Arthur as king! by
on 2014-12-16 22:02:00 UTC
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Wait, you don't vote for king? How d'you become king then?
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According to King Arthur... by
on 2014-12-16 23:28:00 UTC
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"The Lady of the Lake, her arm clad in the purest shimmering samite held aloft Excalibur from the bosom of the water, signifying by divine providence that I, Arthur, was to carry Excalibur. THAT is why I am your king."
Although I'm fairly certain that strange women lying in ponds distributing swords is no basis for a system of government. -
Yeah, we're an anarcho syndicalist commune. by
on 2014-12-16 23:48:00 UTC
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Don't you oppress me either.
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Come and see the violence inherent in the system! by
on 2014-12-17 00:42:00 UTC
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Help! Help! We're being opressed!
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Bloody Peasants... (nm) by
on 2014-12-17 00:47:00 UTC
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Did you hear that? Did you see him oppressing me?! (nm) by
on 2014-12-17 01:09:00 UTC
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Heredity. Or lots of "suspicious accidents." (nm) by
on 2014-12-16 22:03:00 UTC
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Nonono by
on 2014-12-16 22:57:00 UTC
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You must go outside, wearing nothing but mismatched socks, when the moon is full; then you have to dance the Dance(TM)(R)(C) and praise the gods.
Only then can you be a true king! -
TMRC sounds like an internet acronym. by
on 2014-12-17 13:15:00 UTC
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"So I was going to become king, but, y'know, TMRC."
hS -
*sigh* (nm) by
on 2014-12-16 23:19:00 UTC
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And we as a society wonder where badfics come from... (nm) by
on 2014-12-16 04:07:00 UTC
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I have tried to explain this so many times. by
on 2014-12-15 07:33:00 UTC
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I have phrased it exactly that way for years and get immensely frustrated when people don't understand. I agree with every point. Actually, I do have this to add:
Physics is, as you said, fundamentally how we explain the phenomena of the universe, how it all fits together and works to create that which we experience. Mathematics is the language of physics--not just of the sweeping and grandiose gravitational movement of the stars and of our more familiar interactions, but of the workings of the tiniest subatomic particles and forces.
Language that is the language of literature is the language of the soul, if you will. It is what describes those experiences, life, emotion... everything so hard to define with science (even when we can quantify it with chemical reactions in the brain), and even use it to reach out beyond that other language. It is also a language of concept and which can be explored for its own sake, but it's all ultimately about that communication of experience. The interesting thing about mathematics is that like language, it can be explored for its own sake. It can be pure concept and abstraction, of concept and abstraction, but so many things considered 'pure math' have become applicable, and it often is--even if only by creating something astonishing.
How do I feel about this? One of the most wonderful days of my life, when I nearly cried, was seeing a proper real analysis derived proof of the Fundamental Theorem of Calculus. The way logic fit together, as the logic of mathematics must, was nearly heartbreaking.
Mathematics helps describe light, and therefore color, color which then gets combined for any number of arts. Mathematics aids in construction, of life, of architecture, of sets for theater performances. It can create glorious vector maps, fractals--algorithms are used to make those visualizations of what is being played in some music player programs. Mathematics is at the heart of music itself, in the vibrations of the air, in the ratios which determine what note is played, in the very rhythms and at least Western notation. Music taught me fractions. The two are inextricably intertwined.
In the sixth and fifth centuries BCE, Pythagoras proposed the Music of the Spheres. Today, string theory posits that at the heart of everything, tiny strings somehow vibrate to determine what tiny particle exists, or what force. From that possible tiny son to our everyday improvisational chaos to the endless dance of the stars, mathematics describes it all.
Mathematics is the language of the universe.
I have never been able to conceive of anything more beautiful than that. -
Oh, absolutely. by
on 2014-12-15 16:10:00 UTC
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I had my epiphany when my professor derived the wave function of light from Maxwell's equations.
Like you said: the logic was so perfect it was beautiful to watch the equations in motion. Every step clicked into place, one after the other, and everything seemed to flow smoothly and naturally from one form to the next.