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Off-Topic Discussion => General Discussion => Topic started by: blackhole on November 16, 2009, 09:59:01 pm

Title: Why Kids Hate Math
Post by: blackhole on November 16, 2009, 09:59:01 pm
A Mathematician's Lament (http://digg.com/educational/Why_Math_Class_Is_Boring_A_Mathematician_s_Lament)

Read this article, and digg it if you can.
Title: Re: Why Kids Hate Math
Post by: Scotty on November 16, 2009, 10:06:54 pm
Hmmm, I disagree with the authors fundamental comparison of math and music as both arts and nothing but.  Mathematics has enough practical applications at any level of life that mandatory teaching is a necessity.  However, the points he raises the way of teaching are rather good points.  I think we've all had that teacher who could only drone on in dull monotone; no-one can learn well like that.

Overall?  I can digg it.
Title: Re: Why Kids Hate Math
Post by: Mongoose on November 16, 2009, 10:20:43 pm
Y'know, if this guy's conclusions about mathematics as an art form hold up (and I'm not entirely convinced that they do), it'd explain why I had so many difficulties with the mathematical aspects of my physics classes.  I don't have a drop of creativity whatsoever. :p

But seriously, I agree with Scotty that the fundamental comparison here seems a bit suspect.  While much of higher-level mathematics might very well be compared to painting or music composition for all I know, the fundamental underpinnings are at a far more practical level and have a slew of everyday real-world applications.  Not having even a basic level of mathematical literacy is a huge disadvantage in today's world, in a way that not knowing beans about art or music could never be.  I will agree with the author that math education does need a serious overhaul, and that we need to get kids engaged by the material at an early age.
Title: Re: Why Kids Hate Math
Post by: Flipside on November 16, 2009, 10:28:43 pm
Problem is, I've been a composer for years, play guitar, keyboards, saxophone and dabble in a few other instruments, and I can't read sheet music.

Edit: In fact, quite a few famous musicians couldn't sight-read, the difference is with music is that you can sit down and listen and figure the music out from there, can't do that with maths, if you don't understand the notation, you'll never figure it out from just watching someone else do it.
Title: Re: Why Kids Hate Math
Post by: Hippo on November 16, 2009, 10:37:19 pm
tl;dr

but maths are fun
Title: Re: Why Kids Hate Math
Post by: CP5670 on November 16, 2009, 10:38:53 pm
I only read a few pages of that, but I agree with his basic ideas. I like how calls doing math "playing" and can certainly relate to that. :D

As it stands, you don't encounter much in the way of genuinely interesting math until the graduate level (so most people never see it at all), but that is really an issue with the way the math education system is structured. I learned interesting stuff much earlier by doing things outside of classes.

Quote
Not having even a basic level of mathematical literacy is a huge disadvantage in today's world, in a way that not knowing beans about art or music could never be.

Is it really? In scientific or engineering professions, sure, but most people will rarely encounter anything beyond elementary school stuff in real life. He is quite right on that point. And I say that as someone who does applied math. :p
Title: Re: Why Kids Hate Math
Post by: Pyro MX on November 16, 2009, 10:46:36 pm
"[...] Nevertheless, the fact is that there is nothing as dreamy and poetic, nothing as radical, subversive, and psychedelic, as mathematics."

Remove dreamy and poetic and this is pretty much what maths are to me.

"Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary."

I don't know what he teaches or how he does it or what he's on, but in my case that's just blatantly false. Our teachers love shoving complex stuff in our face just for the pleasure of watching us tirelessly trying to solve the problems. For what? Oh e^(2x)! Now that's a work of art! 3 hours of my life I'll never see again for a frakkin exponential equation.

The thing is, I wouldn't mind so much about maths if what they showed us at school was actually applied to the domain we're actually studying. Somebody once asked me, "Don't you feel satisfied when you finish a hard math problem?". No, I am not. I wasted hours on a result that doesn't even matter a attosecond for me. Give me a concrete problem. Will it involve maths? Fine for me. At least it will lead to something more meaningful than a senseless equation in the end. But that's not what we do. No. Just "compile" the equation, go to the next. And for the only applications we see, well, for the times they're actually applied what I study in...

I may sound a bit harsh, but after years and years of doing the most complex math classes I could take, I have yet to find a pertinent reason why I spent hours doing this. Apparently it developed my sense of logic. That could be discussed, but it sure did (and still does) raise my blood pressure to unprecedented levels. It's still not going down after 6 years. Maybe my eyes has been blacked out by the pure rage that maths induced me when I was younger, maybe I just refuse to see reason, I don't know. But I still hate maths "as-is".

Good read, though... still reading it! I think that there will be some interesting point in it. Pretty good find! Heck, maybe I'll grow an interest in that matter... but that'd be surprising  :lol:
Title: Re: Why Kids Hate Math
Post by: CP5670 on November 16, 2009, 10:56:19 pm
Quote
I don't know what he teaches or how he does it or what he's on, but in my case that's just blatantly false. Our teachers love shoving complex stuff in our face just for the pleasure of watching us tirelessly trying to solve the problems.

Grade school math teachers are rarely mathematicians. He's referring to professors and other researchers, although if you only deal with them through classes, they aren't going to be much better either.

Quote
But I still hate maths "as-is".

Can't argue with that. I hate what you call "math" too. :p
Title: Re: Why Kids Hate Math
Post by: Pyro MX on November 16, 2009, 10:58:34 pm
Quote
I don't know what he teaches or how he does it or what he's on, but in my case that's just blatantly false. Our teachers love shoving complex stuff in our face just for the pleasure of watching us tirelessly trying to solve the problems.

Grade school math teachers are rarely mathematicians. He's referring to professors and other researchers, although if you only deal with them through classes, they aren't going to be much better either.


Then again, who said I was speaking about grade school? :P
Title: Re: Why Kids Hate Math
Post by: Mongoose on November 16, 2009, 11:05:19 pm
Quote
Not having even a basic level of mathematical literacy is a huge disadvantage in today's world, in a way that not knowing beans about art or music could never be.

Is it really? In scientific or engineering professions, sure, but most people will rarely encounter anything beyond elementary school stuff in real life. He is quite right on that point. And I say that as someone who does applied math. :p
I do understand and somewhat agree with you, but there are far too many people who don't even get the elementary-level stuff down.  If you've ever walked into a store where the cash registers weren't working (and sometimes even when they are), you've probably experienced it in vivid detail.  At least it gives the rest of us something to laugh at. :p

The funny thing is, I actually loved doing math throughout grade school and most of high school.  It was only after I got to college and ran into some of the funkier ideas in more advanced calculus (think Calc II) that I started to sour a bit...and then it all fell to pieces with differential equations.  I had a bit more luck in the few classes after that, and the elective probability theory class I took was a whole lot of fun, but the damage was done.  The real trouble I ran into was in my physics classes, where that sort of "playing around" mentioned in the article happened on a regular basis.  My textbooks are full of whole-page derivations of a particular formula, that lead into derivations of a new formula by writing the original formula in a different way, sometimes repeated a few more times.  I'd usually sit there, read down the page, and just think to myself, "...but who the **** would fool around with this in the first place?"  Needless to say, my only hope for a career in my major is something squarely on the experimental side of things. :p

I have to say, agreements aside, I really do like the author's example of the area of a triangle.  It almost shocked me to realize that I'd never really had cause to sit down and think about why the formula was what it was myself...I just plugged it in and used it as needed from the first day I learned it.  I was the sort of kid who thrived on rote memorization and spewing back facts, so that was fine for me, but for the majority of kids who weren't, I could see that being a huge problem.
Title: Re: Why Kids Love Meth
Post by: Mars on November 16, 2009, 11:07:57 pm
I personally only enjoy math when it's actually applied to something.

Physics was fun, Pre-calculus was maddening.
Title: Re: Why Kids Hate Math
Post by: CP5670 on November 17, 2009, 01:16:50 am
Quote
Then again, who said I was speaking about grade school? :P

If you're talking about undergraduate classes, I don't think those are much better. There are occasionally upper level ones that are interesting with the right kind of instructor and system, but they aren't that common. Classes in general aren't a great way to get into math.

Quote
If you've ever walked into a store where the cash registers weren't working (and sometimes even when they are), you've probably experienced it in vivid detail.  At least it gives the rest of us something to laugh at.

That isn't exactly a typical example, and even then nobody would want to sit there and add numbers together. I certainly wouldn't do it. :p

As for the classes you mention, I can see where you are coming from, especially with the ODE class.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 17, 2009, 02:43:58 am
"Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary."

I'm sorry, I prefer my "imaginary" 7'2" tall about 250 lbs lean with lavender skin, long ears projecting about 10 inches behind the head with 'huge tracts of land'.
Title: Re: Why Kids Hate Math
Post by: blackhole on November 17, 2009, 03:02:01 am
"Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary."

I'm sorry, I prefer my "imaginary" 7'2" tall about 250 lbs lean with lavender skin, long ears projecting about 10 inches behind the head with 'huge tracts of land'.

.....the f*ck?
Title: Re: Why Kids Hate Math
Post by: Colonol Dekker on November 17, 2009, 03:26:59 am
Math is more useful. Music is more fun. . This is all subjective and down to an individual point of view I guess.
 
Although I do enjoy reading my payslip and knowing how much tax i'm getting scammed for. As a recent convo pointed out (something I already knew) people don't apply their Maths in real life often enough. Everything from counting change to working out when the next train is due. Planning a holiday by counting the weeks ahead and knowing how many days there are in a month.
 
Without using a calender. Something you kids can't probably do :p
Title: Re: Why Kids Hate Math
Post by: Kosh on November 17, 2009, 06:19:15 am
I think the biggest problem is our Nintendo/Playstation/Xbox generation expects to be entertained constantly.
Title: Re: Why Kids Hate Math
Post by: Flipside on November 17, 2009, 06:49:47 am
I think doing the ground-work in maths is difficult, I'm fine with basic mathematics, mental arithmetic, etc, and have at least a glancing familiarity with Binary, though only the basic actions, addition and subtraction, long multiplication in Binaries for CRC calculation seems to evade me for some reason.

That said, I'd dearly love to be more fluent at stuff like Vector equations etc, but I'd have to re-learn a lot of stuff I haven't studied in 20 years, so it's going to be an uphill struggle for me, I can't remember most of the Algebra I learned because I've never had to apply it in my life for the last 2 decades.
Title: Re: Why Kids Hate Math
Post by: iamzack on November 17, 2009, 06:56:43 am
I know why I hate math. It's because I have a hard time with the really simple stuff. I am prone to ****ing up anything learned before Algebra 1. So I regularly screw up in harder maths because I think 23 - 6 = 27 for no apparent reason. SIGH.
Title: Re: Why Kids Hate Math
Post by: perihelion on November 17, 2009, 09:45:11 am
I'm kind of with Pyro on this.  Math classes used to be extremely frustrating for me because I couldn't see the point.  On some level, yes, I do enjoy taking on difficult problems just for the sake of overcoming something difficult, but I remember having holy hell during algebra I and II in high school.  Geometry, trig, those came naturally.  That was a physical relationship that I could see.  But it wasn't until I took calculus that math finally clicked into gear with me.  Why?  Because every blessed one of the examples my teacher used were based on real-world problems.  Calculus and physics are intimately intertwined.  One was invented to understand the other (thank you, Sir Issac).  All the problems dealt with something I could visualize and understand, render practical.  Calculate the fluid level of a spherical tank if fluid is entering at a fixed rate?  Calculate the trajectory of a bullet fired at 45 DEG with an muzzle velocity of V?  What is the average airspeed velocity of an unladen swallow?  These are things that actually happen, not some fictitious x-y plot.

Math doesn't have to be so fricking abstruse.  But my teachers in early math classes (especially algebra) gave me either nothing I could visualize or relied on examples appropriate to kindergarten, not high school.  I really don't care about abstract mathematical relationships that have no bearing on real life.  And I REALLY don't care how many apples Suzy has.

Sigh.  I've had a good friend that was a math major.  I had this conversation with him once, and during the part where I said I have no interest in abstract mathematical relations, he looked at me like I'd sprouted horns.  He later said something to the effect that physics was a "perversion" of pure mathematics.  And I was like, without physics, what is the POINT of math???  So, eh, some mathematicians are a little funny in the head about math.  (caveat emptor: I am a mechanical design engineer, and more than a little funny in the head about engineering. :P)
Title: Re: Why Kids Hate Math
Post by: Colonol Dekker on November 17, 2009, 10:03:29 am
This is why I think barwork should be like national service. I did nine months behind a pump and five of those were as a head barman. Rapid and constant use of maths is integral to it and providing you stick to it you'll never lose the knack. Only side effect is borderline alcaholism ;)
Title: Re: Why Kids Hate Math
Post by: mxlm on November 17, 2009, 10:20:00 am
"Mathematicians enjoy thinking about the simplest possible things, and the simplest possible things are imaginary."

I'm sorry, I prefer my "imaginary" 7'2" tall about 250 lbs lean with lavender skin, long ears projecting about 10 inches behind the head with 'huge tracts of land'.

.....the f*ck?

World of Warcraft?
Title: Re: Why Kids Hate Math
Post by: CP5670 on November 17, 2009, 10:46:00 am
I always like to work on math problems coming from applications (and would even say I prefer them), but I have seen enough of pure math that I can appreciate it. At a high level, there is little difference between pure and applied math anyway.

Quote
And I was like, without physics, what is the POINT of math???

There are many applications of math outside physics. :p EE and computer science have their own set of problems that are somewhat different from the ones in physics, and which I think are more interesting.
Title: Re: Why Kids Hate Math
Post by: Uchuujinsan on November 17, 2009, 01:21:20 pm
After reading the first pages I have to say he is both absolutely right and absolutely wrong.
Math is fantastic and interesting because it's an art, an art with practicable applications, but still one with endless creativity. On the other hand, only mathematicians will see it that way. Some like Freespace 2, some don't - some like The Sims, others hate it. It's just a matter of taste, and different people have a different taste. Teaching the "interesting" stuff won't change that many people still simply won't like it.
But some knowledge is almost required in life, and school has to teach you that knowledge, no matter if the teaching itself is (or can be) fun.

You should try to make the subject interesting for your students, but in the normal school there is no simple solution. You have to look at the people in your class and teach in a way that manages to motivate exactly those individuals.
Title: Re: Why Kids Hate Math
Post by: Ghostavo on November 17, 2009, 02:52:02 pm
As it stands, you don't encounter much in the way of genuinely interesting math until the graduate level (so most people never see it at all), but that is really an issue with the way the math education system is structured.

I disagree. There is some very basic and beautiful math way before you hit that level.


I had the good fortune to like playing with numbers when I was younger and participating in many math olympiads. To me, that method of learning math was very satisfying, even more so, since many problems were rehashed to be solved with a completely different path of thought and assumed knowledge in latter years.

Once I hit graduate level, there were lot of new interesting subjects, but the time required to play with them was too short unfortunately to have a sort of native understanding of them.
Title: Re: Why Kids Hate Math
Post by: CP5670 on November 17, 2009, 04:21:14 pm
Quote
I disagree. There is some very basic and beautiful math way before you hit that level.

I had the good fortune to like playing with numbers when I was younger and participating in many math olympiads. To me, that method of learning math was very satisfying, even more so, since many problems were rehashed to be solved with a completely different path of thought and assumed knowledge in latter years.

Once I hit graduate level, there were lot of new interesting subjects, but the time required to play with them was too short unfortunately to have a sort of native understanding of them.

Actually, that was precisely my point. You learned interesting math by doing it outside classes in some way, just like I did. I didn't mean that all interesting math is graduate level, but that you only encounter it at that point if you stick to learning it through classes. There is certainly a lot of good stuff that is accessible and easy to get into, but is simply never done in classes at lower levels.
Title: Re: Why Kids Hate Math
Post by: Mongoose on November 17, 2009, 04:42:06 pm
Quote
If you've ever walked into a store where the cash registers weren't working (and sometimes even when they are), you've probably experienced it in vivid detail.  At least it gives the rest of us something to laugh at.

That isn't exactly a typical example, and even then nobody would want to sit there and add numbers together. I certainly wouldn't do it. :p
Okay, let's make it even simpler.  Think about the cashier who looks at you with an utterly clueless look on their face when you hand them a $20 bill and a quarter for a $15.25 charge. :p

I'd posted last night after reading only about half of the document, and I found some of the later discussion to be even more interesting (though who knows how much of it I can recall right now).  I do rather vehemently disagree with the notion that "teaching can't be taught," though, or that a "planned lesson" isn't valuable; while enthusiasm and passion for the topic is obviously a huge asset, there are valuable skills that can be conveyed and practiced involving handling a classroom of diverse students, and an enthusiastic off-the-rails class session can possibly do more harm than a standard directed one.  I did sympathize with the "Simplicio" perspective on geometric proofs, since that was honestly one of my favorite areas of high school math and one that came quite naturally to me, but the alternate method of looking at that triangle-in-a-semicircle problem completely blew my mind.

For anyone looking for more discussion on this, a Google search turned up some interesting back-and-forth in the comments of this blog post (http://scottaaronson.com/blog/?p=410).
Title: Re: Why Kids Hate Math
Post by: CP5670 on November 17, 2009, 05:53:32 pm
Quote
Okay, let's make it even simpler.  Think about the cashier who looks at you with an utterly clueless look on their face when you hand them a $20 bill and a quarter for a $15.25 charge.

They usually just put it into their cash register's calculator if they can't figure it out instantly. :p It's not just a matter of doing it right, but of making that clear to the customer.

Quote
For anyone looking for more discussion on this, a Google search turned up some interesting back-and-forth in the comments of this blog post.

I recognize one of the names there. I think she was a student in a class I was TAing last year.
Title: Re: Why Kids Hate Math
Post by: Mika on November 18, 2009, 04:44:41 pm
I think the original lamentation was, I don't know, unsurprising in the content. The outlined problem not only affects Maths, but pretty much all other areas of education also.

Reading through the PDF, it seemed that the main point is to remind that there are multiple ways to teach stuff to students, and teacher has to be able to see what is the best way to answer the question by a student. Different people, different methods - should be nothing new to a good teacher.

Besides, I don't consider any of the Maths stuff I got my hands on during High School "unnecessary". All of that **** has found a way to be applied in my work. However, courses held by Department of Mathematics during my stay in University could best be described by that lamentation. Luckily, I realised quite soon (probably second lecture of Linear Algebra) that I didn't have to attend the lectures... and that was an eye-opener of the University world. I could read and learn stuff all by myself.

Later on I cursed the Department of Maths to deepest pits of Hell for allowing to lecture the Linear Algebra course in about the dumbest possible way imaginable and providing worst possible learning material. Writing proofs down from the black board had to be one of the best ways I have yet seen to waste students' time. Even today when programming computers, I find my capabilities severely lacking in Linear Algebra, or in Matrix manipulations. How I wish it would have been possible to attend the Maths courses by the Faculty of Engineering, but no.

Luckily, Physics courses gave a lot more reasonable explanations of those fancy mathematical terms I heard during those torture lectures. And I'm still wondering afterwards how well could I have actually understood all that stuff had the approach been different.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 18, 2009, 06:36:19 pm
You know, it might be that it's never been presented right, but I'm going to sit here right now and tell you that despite all your lamenting on how the material is taught.  Kids hate math because IT IS boring.  I'm 31 years old and am more scared of an algebra(nevermind calculus!) class than I would be walking down a side street in Brooklyn or Harlem wearing a swastika.  I get lost when they try and teach me how to factor an equation to solve it, and they can't wait for me to get it because there's 29 other people in the class that do get it, so I get left behind and that's that.  The highest grade I ever made in a math class was a C, and that was a geometry class where I could use a little imagination to think of the problem in real, concrete terms.

I'll reiterate, kids don't hate math because it's presented boringly, kids hate math because IT IS BORING.
Title: Re: Why Kids Hate Math
Post by: Thaeris on November 18, 2009, 07:12:09 pm
I happen to enjoy math, Lib. Boring or not boring is merely a matter of opinion.

Like any subject, it's a matter of adapting to that subject. It's surprising... you might hate a subject initially because it's rather foreign to you. Because it's so foreign, you have difficulty adapting to and assimilating the data. However, once you're familiar with it, you might actually enjoy the material.

We often tend to like or dislike something due to our ability or inability to do it. If we never adapt to and assimilate a skill, we'll of course tend not to like it. And because we don't like it, why would we waste our time doing it? Because we never do it, why would we be good at it?

There are exceptions to this, of course. Natural curiosity also make it easier to achieve competance in an area because the mind is now engaged on that topic. But still, you get good at doing something because you do it.  :nod:

If said kids aren't interested in math, which is often foreign... somehow (it just is... I remember not being great at math as well...), why would they bother to become proficient? Of course those kids will hate the subject!
Title: Re: Why Kids Hate Math
Post by: Polpolion on November 18, 2009, 07:42:41 pm
You know, it might be that it's never been presented right, but I'm going to sit here right now and tell you that despite all your lamenting on how the material is taught.  Kids hate math because IT IS boring.  I'm 31 years old and am more scared of an algebra(nevermind calculus!) class than I would be walking down a side street in Brooklyn or Harlem wearing a swastika.  I get lost when they try and teach me how to factor an equation to solve it, and they can't wait for me to get it because there's 29 other people in the class that do get it, so I get left behind and that's that.  The highest grade I ever made in a math class was a C, and that was a geometry class where I could use a little imagination to think of the problem in real, concrete terms.

I'll reiterate, kids don't hate math because it's presented boringly, kids hate math because IT IS BORING.

 :wtf: You've just admitted ignorance over the subject, and yet you claim to know that it's boring?
Title: Re: Why Kids Hate Math
Post by: Liberator on November 18, 2009, 07:45:38 pm
I think I can tell if something is boring or not, initmate knowledge is not always required to make that determination.
Title: Re: Why Kids Hate Math
Post by: Thaeris on November 18, 2009, 07:47:28 pm
As already stated, boring is a matter of opinion.  :P
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 18, 2009, 08:04:32 pm
I think I can tell if something is boring or not, initmate knowledge is not always required to make that determination.

Math definitely isn't boring. I'm not the biggest math guy in the world, though I'm good at it, but a few of the proofs I've seen - especially in combinatorics - took me aback with their beauty and elegance.

It could be fun for kids if it were presented as secret superpower knowledge. It's just not.
Title: Re: Why Kids Hate Math
Post by: iamzack on November 18, 2009, 08:29:27 pm
I like math because I have moods where I actually want to do something tedious and boring. I can't even imagine how math could be considered 'beautiful.' It's just useful, like roads or mattresses. "Fun" I can understand, because some people do like fixing/solving things, or just playing with numbers. But beautiful? Ugh, are you a philosophy major?
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 18, 2009, 08:44:32 pm
Nope. You're just still mired in the level of math where nothing elegant has yet appeared.
Title: Re: Why Kids Hate Math
Post by: Ford Prefect on November 18, 2009, 08:45:29 pm
The type of pattern analysis and manipulation involved in music theory can be highly mathematical, and I find it extremely aesthetically pleasing.

I don't wish to sound dogmatic-- I realize people's aesthetic sensibilities vary widely-- but I suspect that people who see math as purely utilitarian don't fully appreciate how much it imbues absolutely everything in the universe.
Title: Re: Why Kids Hate Math
Post by: iamzack on November 18, 2009, 09:01:33 pm
Math *is* purely utilitarian. Math only exists because it is needed to help us understand the universe.
Title: Re: Why Kids Hate Math
Post by: Scotty on November 18, 2009, 09:06:09 pm
Math *is* purely utilitarian. Math only exists because it is needed to help us understand the universe.

And that is why you fail.[/Yoda]
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 18, 2009, 09:14:07 pm
Math *is* purely utilitarian. Math only exists because it is needed to help us understand the universe.

No. Math is an art form as well.
Title: Re: Why Kids Hate Math
Post by: iamzack on November 18, 2009, 09:17:50 pm
Art form how? Because as I understand it, art is created for the sake of creating it, and can be interpreted after creation, et cetera. Math just is.
Title: Re: Why Kids Hate Math
Post by: Ford Prefect on November 18, 2009, 09:19:16 pm
I'll concede that point purely for the sake of argument. Assuming we agree with you (I don't), why does it have to be mundane simply because it arose for practical purposes? Are we to conclude that the only beautiful things are those created specifically to be beautiful?
Title: Re: Why Kids Hate Math
Post by: iamzack on November 18, 2009, 09:29:39 pm
Plenty of useful things can also be beautiful. Houses, shoes, etc. But thats when you start mixing form in with function. Math is 100% function.
Title: Re: Why Kids Hate Math
Post by: Ford Prefect on November 18, 2009, 09:39:16 pm
But that's the problem-- you're viewing "math" as this monolithic thing in its own compartment of human knowledge. There is no such thing as 100% function. When you manipulate patterns, you are engaging with mathematical principles. The math isn't the figures or symbols used to describe this pattern manipulation; it is this process. And the fact is that manipulation of patterns is integral to art in all its forms, not to mention just about everything else we do.

This is, of course, putting aside that something is beautiful if someone finds it beautiful. Beauty isn't something that things have; it's something we give them by virtue of finding it.
Title: Re: Why Kids Hate Math
Post by: iamzack on November 18, 2009, 09:51:32 pm
But you don't just do math to do math. I mean, I assume at some point you stop being handed a worksheet with fifty contextless equations to solve. You do math to solve a problem. I'm sure some plumbers think plumbing is art too. And if you want to get all philosophical about it, it is, sure. Math is art, plumbing is art, hell-- the sticks chimps use to fish for termites is art too.
Title: Re: Why Kids Hate Math
Post by: Ford Prefect on November 18, 2009, 10:05:16 pm
I think something becomes an art when the person doing it imbues the process with the aesthetic sense that drew them to the pursuit in the first place. Art is not a category of particular human endeavors; it is a way of engaging with our world. Nothing is an art in and of itself, but just about anything a person does can be an art.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 18, 2009, 11:00:11 pm
The fact is, iamzack, that you don't know enough math to have even met the beautiful parts yet.

You do not get any idea of what math is in middle or high school, or in any but the most advanced college education. You need to be into proof-heavy realms of calculus or algebra (real algebra, not high school algebra) or even analysis before you start to really understand math.

The fact is that people do do math just to do math. That's what pure math is.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 18, 2009, 11:39:09 pm
Answer me a question that my sandbag of a peabrain can comprehend.

What good does math for it's own sake accomplish? 

Art(real art such as statues, paintings, music, ect) is made because it appeals to human sensibilities of beauty and emotion.

Math on it's own is a bunch of numbers on a page with no meaning unless it's in service to another discipline.
Title: Re: Why Kids Hate Math
Post by: Ford Prefect on November 18, 2009, 11:45:02 pm
Answer me a question that my sandbag of a peabrain can comprehend.

What good does math for it's own sake accomplish? 

Art(real art such as statues, paintings, music, ect) is made because it appeals to human sensibilities of beauty and emotion.

Math on it's own is a bunch of numbers on a page with no meaning unless it's in service to another discipline.
I think something becomes an art when the person doing it imbues the process with the aesthetic sense that drew them to the pursuit in the first place. Art is not a category of particular human endeavors; it is a way of engaging with our world. Nothing is an art in and of itself, but just about anything a person does can be an art.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 18, 2009, 11:47:22 pm
Answer me a question that my sandbag of a peabrain can comprehend.

What good does math for it's own sake accomplish?  

Art(real art such as statues, paintings, music, ect) is made because it appeals to human sensibilities of beauty and emotion.

Math on it's own is a bunch of numbers on a page with no meaning unless it's in service to another discipline.

You definitely don't know enough about math to make that judgment. Calling it 'a bunch of numbers on a page' is especially silly because pure math doesn't use numbers in the arithmetic sense,

But, I'll illustrate for you: this is a visualization of some of the beauty of pure math. (http://en.wikipedia.org/wiki/Mandelbrot_set)

You can't begin to appreciate the beauty of a good proof (many of which are tens or hundreds of pages long) without experiencing it. I wish that didn't sound so snobby, but it's true - it takes years of learning.

Math is in many senses the purest form of human art and achievement, absolute and unconditional truth for its own sake.

And yeah, I'd also agree with Ford Prefect up there.
Title: Re: Why Kids Hate Math
Post by: Stormkeeper on November 19, 2009, 12:07:29 am
... My God, that's Maths?
Title: Re: Why Kids Hate Math
Post by: Mongoose on November 19, 2009, 12:24:28 am
Just to throw in the obligatory xkcd reference, I love the sentiment behind this strip (http://xkcd.com/435/), particularly the title text. :D
Title: Re: Why Kids Hate Math
Post by: Liberator on November 19, 2009, 12:39:10 am
I wish that didn't sound so snobby...
Every mathematician I've ever met is floored by the idea that I don't get it.  Odds are I can't get it.

Also, I can't get it up long enough to read 2000 pages at a go, so how in the name of hell am I supposed to read a proof that long?

I'll cop to being an idiot, I will.  But I'll also cop to not accepting arrogance for it's own sake, I've never met a mathematician who wasn't terribly arrogant and condescending toward pretty much everyone else except other mathematicians.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 19, 2009, 12:45:39 am
That's because mathematicians work in a discipline that is more rigorous and concerned with pure truth than any other (except, perhaps, formal logic.)

In fact, I think I can confidently say that mathematics is the only field of knowledge where empirical testing is not required and where new discoveries can be made purely by human cognition.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 19, 2009, 12:55:23 am
Let's straighten our terminology a bit, shall we, "truth" is a subjective(oft times collective) mental construct that may or may not coincide with "fact" which is something that is empirically demonstrable.  Mathematics falls into the second far more securely that it does the first.  So, please, for the lone dummy in the audience, keep it straight.
Title: Re: Why Kids Hate Math
Post by: Dilmah G on November 19, 2009, 06:12:00 am
... My God, that's Maths?
Oh my God. My head just ****ing exploded.
Math on it's own is a bunch of numbers on a page with no meaning unless it's in service to another discipline.
Someone didn't like High School maths huh?  ;)
Title: Re: Why Kids Hate Math
Post by: Ghostavo on November 19, 2009, 06:42:42 am
Art(real art such as statues, paintings, music, ect) is made because it appeals to human sensibilities of beauty and emotion.

Math on it's own is a bunch of numbers on a page with no meaning unless it's in service to another discipline.

Paintings on their own are just a bunch of shapes and colors on a surface with no meaning unless it's in service to another discipline.

 :rolleyes:

Math can be said to be to Physics what Painting is to Arquitecture.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 19, 2009, 08:00:25 am
Someone didn't like High School maths huh?  ;)
I think I established that when I said the best grade I ever made in a math class was a C.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 19, 2009, 09:40:45 am
Let's straighten our terminology a bit, shall we, "truth" is a subjective(oft times collective) mental construct that may or may not coincide with "fact" which is something that is empirically demonstrable.  Mathematics falls into the second far more securely that it does the first.  So, please, for the lone dummy in the audience, keep it straight.

Nope, that's the funny thing: mathematics has the capability to demonstrate objective truth. It doesn't need to be empirically demonstrable, as I said in an earlier post, because it can be proven or disproven purely through its own postulates.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 19, 2009, 05:44:30 pm
... because it can be proven or disproven purely through its own postulates.
This coming from a guy who rags on religion.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 19, 2009, 05:45:50 pm
I have no problem with religion, I simply have a problem with religion (a matter of personal, non-disconfirmable faith) interfering with testable, disconfirmable science and social issues.

Mathematics and religion are completely different. Religion has no first postulates and should be taken entirely on faith; any one religion is as non-disconfirmable as the next, making an assertion about God as probable as an assertion about Allah (same god, I guess) or Brahma or the Tooth Fairy.

Mathematics can be rigorously proven from the ground up based on a few fundamental axioms. Mathematics makes disconfirmable predictions through the means of proofs.
Title: Re: Why Kids Hate Math
Post by: Pyro MX on November 19, 2009, 08:48:14 pm
Now that we ended up on the art/religion debate, there's no way out. The HLP station will have some bulkheads damaged after this!

* Sneaks out of the room *
Title: Re: Why Kids Hate Math
Post by: Flipside on November 19, 2009, 08:49:46 pm
Bulb changed.

Red Alert initiated.
Title: Re: Why Kids Hate Math
Post by: Uchuujinsan on November 20, 2009, 04:14:59 am
Mathematics: If A then B
Religion: A therefore B

It's the difference between "The Bible is true, so God exists" and "If the Bible is true, then God exists"
Title: Re: Why Kids Hate Math
Post by: blackhole on November 20, 2009, 09:33:49 am
I am insulted by the idiotic claims in this thread that Math is not an art and cannot be an art. Math is what makes every single CGI-anything possible in the first place. Pixel shaders is the art of using various mathematical equations to produce an artistic output. Saying that math is the opposite of art is like sticking your fingers in your ears and screaming LALALALALALALA I CAN'T HEAR YOU.

But then you guys do that anyway.
Title: Re: Why Kids Hate Math
Post by: Flipside on November 20, 2009, 10:45:22 am
People are allowed to have a different opinion, you know. Not that I neccesarily do, but like many things in life, it's a question of perception, some people think coding is an art, some think it is a craft, some think it is neither, some think it is both, they aren't always wrong, simply of a different opinion.
Title: Re: Why Kids Hate Math
Post by: Mongoose on November 20, 2009, 12:35:55 pm
I am insulted by the idiotic claims in this thread that Math is not an art and cannot be an art. Math is what makes every single CGI-anything possible in the first place. Pixel shaders is the art of using various mathematical equations to produce an artistic output. Saying that math is the opposite of art is like sticking your fingers in your ears and screaming LALALALALALALA I CAN'T HEAR YOU.

But then you guys do that anyway.
The thing is, that's an example of mathematics being used to produce artwork, not mathematics as artwork in and of itself. :p
Title: Re: Why Kids Hate Math
Post by: Turambar on November 20, 2009, 01:38:13 pm
what we really need is to invent prettier numbers and require all math to be done in awesome arabic-style calligraphy.
Title: Re: Why Kids Hate Math
Post by: castor on November 20, 2009, 04:41:30 pm
I am insulted by the idiotic claims in this thread that Math is not an art and cannot be an art. Math is what makes every single CGI-anything possible in the first place. Pixel shaders is the art of using various mathematical equations to produce an artistic output. Saying that math is the opposite of art is like sticking your fingers in your ears and screaming LALALALALALALA I CAN'T HEAR YOU.

But then you guys do that anyway.
The thing is, that's an example of mathematics being used to produce artwork, not mathematics as artwork in and of itself. :p
Well, one doesn't need to be a mathematician to be able to admire and enjoy its abstract aesthetics. Definitely an art :)
Title: Re: Why Kids Hate Math
Post by: Scotty on November 20, 2009, 05:01:37 pm
what we really need is to invent prettier numbers and require all math to be done in awesome arabic-style calligraphy.

I would like you to look up the term "arabic numerals" then sit back and appreciate the irony of your request. :P
Title: Re: Why Kids Hate Math
Post by: Spicious on November 20, 2009, 05:05:46 pm
It's not so entertaining when you remember they originally came from India.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 20, 2009, 07:01:21 pm
Well, one doesn't need to be a mathematician to be able to admire and enjoy its abstract aesthetics. Definitely an art :)

Umm, yeah you do... :doubt:
Title: Re: Why Kids Hate Math
Post by: Ford Prefect on November 20, 2009, 07:05:27 pm
Several of us in this thread who are not mathematicians have already expressed our admiration for the aesthetics of math. So, no, you don't.
Title: Re: Why Kids Hate Math
Post by: Scotty on November 20, 2009, 08:02:34 pm
Maybe something should be put in order:

Math is not completely a visual art.  It is an abstract, yet still concrete, art of thought.
Title: Re: Why Kids Hate Math
Post by: blackhole on November 20, 2009, 10:28:46 pm
Well, one doesn't need to be a mathematician to be able to admire and enjoy its abstract aesthetics. Definitely an art :)

Umm, yeah you do... :doubt:
Several of us in this thread who are not mathematicians have already expressed our admiration for the aesthetics of math. So, no, you don't.

Because you seem to be deprived of such things, allow me to educate you in Logic. What we have here is a very simple situation.

If we make the claim that it is possible for event A to occur, all we require to prove this statement correct is a single positive example. So, if someone has expressed their admiration for the aesthetics for math, and they are not a mathematician, then this is an example of event A occurring and thus proves the statement correct. You saying "No its not" is not going to make the statement incorrect, its just going to make you look stupid. Your only possible objection to this statement must either be 1. the positive example of event A was false or 2. that event A doesn't apply to you.
Title: Re: Why Kids Hate Math
Post by: Scotty on November 20, 2009, 11:03:28 pm
Who exactly was that post aimed at? :confused:

Second, logic matters bupkiss to opinion, and that's all that's being provided right now.  Liberator does not think math is an art.  Ford does.  Obviously, we cannot really objectively prove one or the other right or wrong, since the definition of art is open to interpretation.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 20, 2009, 11:23:30 pm
I still want to know how life has improved by Mathematics as a product of it's own existence, not in the use of some other discipline such as chemistry, physics or engineering.
Title: Re: Why Kids Hate Math
Post by: Ford Prefect on November 20, 2009, 11:39:25 pm
That has nothing to do with whether or not mathematics is art. The relevant question here is whether or not math can possibly be accurately described as the aesthetically motivated manipulation of forms and patterns. It doesn't matter if this description always applies, only if it can apply. If you want to call into question the larger social validity of artistic processes in general, that is a different debate.
Title: Re: Why Kids Hate Math
Post by: Scotty on November 20, 2009, 11:41:03 pm
If you use that definition for art, nothing is art.

Art is the mesh, if you will, between design and though with our own personal interpretation of aesthetics.  No paint spattered canvas ever improved your life as a product of it's own existence.  What did was your interpretation of the intent, of the abstract thought behind the painting itself.

Before the Post EDIT:  Sniped, dang.  Oh well.  Main point aimed at Lib.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 21, 2009, 12:07:19 am
I still want to know how life has improved by Mathematics as a product of it's own existence, not in the use of some other discipline such as chemistry, physics or engineering.

I thought we were arguing about art here.

Anyway, if you don't see the value of knowledge for its own sake, and you'd rather do things purely for utilitarian reasons, I'm not sure we're on common ground.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 21, 2009, 12:15:42 am
Knowledge for it's own sake doesn't feed starving people, figure out new and better ways to light up a home at night or get me to my destination faster and safer.

Knowledge for it's own sake is a Red Herring perpetrated primarily by researchers who want the fat grants and cushy lifestyles with no expectation of output.  You could take a dump on a blank piece of paper, use it to write some equations and then claim it's a break through in modern mathematics.  Nobody would know the difference for weeks or months or years if they're sufficiently complex and by that time you are in some tropical paradise sipping pina coladas and banging the check in clerk.

In case you can't tell, I'm not a big fan of "science" that doesn't have some kind of usable output that I can comprehend.  Pure math belongs on the shelf and the pointy heads who practice it should be put to work on a physics or chemistry problem so they can actually benefit someone other than themselves.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 21, 2009, 12:17:55 am
Why is knowledge for its own sake somehow taking away from applied knowledge?

In fact, when has applied knowledge ever been able to proceed without advances in pure fields? (See cryptography.)

Aren't you a supporter of manned spaceflight?

Quote
You could take a dump on a blank piece of paper, use it to write some equations and then claim it's a break through in modern mathematics.  Nobody would know the difference for weeks or months or years if they're sufficiently complex and by that time you are in some tropical paradise sipping pina coladas and banging the check in clerk.

Nope, that's simply false.

Get an education.
Title: Re: Why Kids Hate Math
Post by: Ford Prefect on November 21, 2009, 12:21:54 am
Yeah, and while we're at it, uhm... Liberator, philosophical disagreements aside, I don't know who or what your sources are, but I'm afraid you're sorely misinformed about the lifestyle of the typical academic.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 21, 2009, 12:23:43 am
Seriously.

Anyway, to understand is to be human. If we limit ourselves to satisfying practical concerns we aren't much better than another ant hive.
Title: Re: Why Kids Hate Math
Post by: Liberator on November 21, 2009, 12:38:25 am
When hunger and thirst stop being in the top 3 reasons that people go to war, then I might change my tune.

As for my educational status, you find me somewhere I can get the ridiculous amounts of money it takes to go to school and not have to work 40 hours a week to live and I'll consider it.  I realize millions of people do it every day, but all but one of them is not me.  I've held 3 jobs in my life longer than a week.  At each one I've not made a living wage at any of them, nevermind enough to live and go to school.  I know I may not seem it, but I'm the bottom of the proverbial barrel job wise.  I don't have the confidence to pursue a career type job and I don't have the education to back me up if I were to get one.  I have some skill in computer science, but not enough to get by.  I am an uneducated idiot with the skills of a low grade moron.  If you need me, I'll be cleaning out toilets with a toothbrush somewhere.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 21, 2009, 12:41:35 am
I don't want to turn this into a personal debate. But if you're going to make sweeping statements about a field of human endeavor that consumes very few resources, you'll be called on your knowledge of that field.

Anyway, this is all immaterial to the point of the debate, which is 'is math beautiful', which is in turn related to how we can better teach math to kids. And I think you'll agree that getting more kids proficient at math is a good aim; it means more engineers and physicists.
Title: Re: Why Kids Hate Math
Post by: Spicious on November 21, 2009, 01:20:38 am
Knowledge for it's own sake is a Red Herring perpetrated primarily by researchers who want the fat grants and cushy lifestyles with no expectation of output.  You could take a dump on a blank piece of paper, use it to write some equations and then claim it's a break through in modern mathematics.  Nobody would know the difference for weeks or months or years if they're sufficiently complex and by that time you are in some tropical paradise sipping pina coladas and banging the check in clerk.
You wouldn't know. Other academics with expertise in that or a similar area of mathematics could fairly easily go through the working and find holes in the reasoning if they're there. Not that they would get paid on a per paper basis.

Quote
In case you can't tell, I'm not a big fan of "science" that doesn't have some kind of usable output that I can comprehend.  Pure math belongs on the shelf and the pointy heads who practice it should be put to work on a physics or chemistry problem so they can actually benefit someone other than themselves.
Are you aware as to how much theoretical knowledge goes into technological advances?

When hunger and thirst stop being in the top 3 reasons that people go to war, then I might change my tune.
Why don't you do something to fix that? Why is it always someone else's responsibility to fix the world for you?

Quote
As for my educational status, you find me somewhere I can get the ridiculous amounts of money it takes to go to school and not have to work 40 hours a week to live and I'll consider it.  I realize millions of people do it every day, but all but one of them is not me.  I've held 3 jobs in my life longer than a week.  At each one I've not made a living wage at any of them, nevermind enough to live and go to school.  I know I may not seem it, but I'm the bottom of the proverbial barrel job wise.  I don't have the confidence to pursue a career type job and I don't have the education to back me up if I were to get one.  I have some skill in computer science, but not enough to get by.  I am an uneducated idiot with the skills of a low grade moron.  If you need me, I'll be cleaning out toilets with a toothbrush somewhere.
Try Australia; probably New Zealand and many parts of Europe for that matter. If your method of cleaning toilets is indicative of your work habits, that would be your problem.
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 21, 2009, 01:23:10 am
Ironically, suicide kills many more people each year than wars, suggesting we should focus on making people happy instead of peaceful.
Title: Re: Why Kids Hate Math
Post by: redsniper on November 21, 2009, 02:09:19 am
What if war makes me happy?

.....:shaking:
Title: Re: Why Kids Hate Math
Post by: NGTM-1R on November 21, 2009, 02:21:38 am
What if war makes me happy?

.....:shaking:

That would appear to be an acceptable tradeoff.
Title: Re: Why Kids Hate Math
Post by: Ghostavo on November 21, 2009, 03:37:42 am
Quote
In case you can't tell, I'm not a big fan of "science" that doesn't have some kind of usable output that I can comprehend.  Pure math belongs on the shelf and the pointy heads who practice it should be put to work on a physics or chemistry problem so they can actually benefit someone other than themselves.

Every mathematical problem that gets solved will eventually have a real world application. This has been the historical trend.

And, let's not forget, the mathematical prowess of a civilization determines how fast other knowledge fields advance.
Title: Re: Why Kids Hate Math
Post by: Mika on November 21, 2009, 05:04:48 am
Quote
Are you aware as to how much theoretical knowledge goes into technological advances?

This is an odd statement. Looking at the history of Physics, there's plenty of examples showing the opposite. Knowledge of why it works came after the first system was implemented. Emphasizing theoretical knowledge is also a little bit worrifiying trend as it downplays the role of having sharp eyes. I don't dispute the original point, though, but would like to add that theoretical knowledge and technical advances are complementary.

Quote
And, let's not forget, the mathematical prowess of a civilization determines how fast other knowledge fields advance.

What do you mean by that statement?
Title: Re: Why Kids Hate Math
Post by: castor on November 21, 2009, 05:32:23 am
I still want to know how life has improved by Mathematics as a product of it's own existence, not in the use of some other discipline such as chemistry, physics or engineering.
So, what exactly do you consider an improvement? If you only value things that make life possible or "more efficient", and scrap everything else as useless, there won't be any reasons left to be alive.
Title: Re: Why Kids Hate Math
Post by: Ghostavo on November 21, 2009, 06:57:54 am
Quote
And, let's not forget, the mathematical prowess of a civilization determines how fast other knowledge fields advance.

What do you mean by that statement?

If the math is already done, you don't have to wait for mathematicians to solve certain types of problems in order to progress through those fields. And with sufficient mathematical background, one can go through the implications of an hypothesis much quicker. Hence, mathematical prowess is one of the indicators of how fast one can advance in relevant fields. I didn't mean to imply it was the only one, if that's what you are suggesting.

As a practical example, the math behind black holes was mostly done by the time physicists proposed their existence.

Also, regarding "theoretical" vs "practical" knowledge, it's kind of pointless to make that distinction. Specially when most research can be dependent on its results to see which is which. As an example, there's the computer science problem of P vs NP (http://en.wikipedia.org/wiki/P_versus_NP_problem). If the answer is P != NP, then the practical application of this doesn't seem to be much (at least compared with the alternative), and it's what most researchers lean towards. However if the answer is P = NP...
Title: Re: Why Kids Hate Math
Post by: Snail on November 21, 2009, 07:24:20 am
Math is cool.
Title: Re: Why Kids Hate Math
Post by: captain-custard on November 21, 2009, 07:36:41 am
ive gone back to skool again and i didnt realise how much i had avoided maths in the last 25 years of my life , and although the math i am having to learn and re-learn is fairly basic , ( stress based calculations , trig etc ) i can understand why ppl dislike math , if you brain doesnt go that way instantly it can all be very boring and tedious.;; all of the maths i am doing has practical applications but that doesnt always help
Title: Re: Why Kids Hate Math
Post by: Manunkind on November 21, 2009, 07:53:45 am
I don't think anyone's brought up the following point yet.

Kids hate math because if you screw up the tiniest detail in math, it's all over. No one will care that you've done everything prior to that screw-up correctly, you'll get an F. It's just incredibly frustrating.
Title: Re: Why Kids Hate Math
Post by: Kosh on November 21, 2009, 08:59:04 am
ive gone back to skool again and i didnt realise how much i had avoided maths in the last 25 years of my life , and although the math i am having to learn and re-learn is fairly basic , ( stress based calculations , trig etc ) i can understand why ppl dislike math , if you brain doesnt go that way instantly it can all be very boring and tedious.;; all of the maths i am doing has practical applications but that doesnt always help

We can thank evolution for that. Knowing how to use an integral to find the area under a curve wasn't exactly useful when we were being chased by lions. :p
Title: Re: Why Kids Hate Math
Post by: General Battuta on November 21, 2009, 09:48:13 am
I don't think anyone's brought up the following point yet.

Kids hate math because if you screw up the tiniest detail in math, it's all over. No one will care that you've done everything prior to that screw-up correctly, you'll get an F. It's just incredibly frustrating.

Most classes should give partial credit.
Title: Re: Why Kids Hate Math
Post by: Sarafan on November 21, 2009, 09:54:44 am
I think you're all wrong and that the real reason is that teachers dont have the "right" approach like this:

(http://img403.imageshack.us/img403/4018/20091116.gif) (http://img403.imageshack.us/i/20091116.gif/)

 ;)
Title: Re: Why Kids Hate Math
Post by: Mika on November 21, 2009, 11:48:44 am
Quote
If the math is already done, you don't have to wait for mathematicians to solve certain types of problems in order to progress through those fields. And with sufficient mathematical background, one can go through the implications of an hypothesis much quicker. Hence, mathematical prowess is one of the indicators of how fast one can advance in relevant fields. I didn't mean to imply it was the only one, if that's what you are suggesting.

Thanks for clarification.

Quote
As a practical example, the math behind black holes was mostly done by the time physicists proposed their existence.

This is actually not true. Schwarzschild was the first who published solution for Einstein field equations in General Relativity, noting that something particularly interesting would happen if enough mass was concentrated on small enough volume (his choice of metric is simple and quite easy to understand). The solution literally came from the trenches of WWI. But this is not what I would consider Maths. Different metrics and manifolds were analyzed by mathematicians years before Einstein had started to formulate General Relativity. Later on, behavior of charged and rotating black holes have been analyzed, the work required different kinds of metrics to solve the field equations. But this again, isn't maths in the sense I understand maths. Though Einstein was quoted saying something like once mathematicians got their hands on his Theory of Relativity, he hasn't been able to recognise it since...

Quote
Also, regarding "theoretical" vs "practical" knowledge, it's kind of pointless to make that distinction. Specially when most research can be dependent on its results to see which is which. As an example, there's the computer science problem of P vs NP. If the answer is P != NP, then the practical application of this doesn't seem to be much (at least compared with the alternative), and it's what most researchers lean towards. However if the answer is P = NP...

My point was that current scientific world seems to concentrate heavily on theoretical side. But it also works the other way: independent observations can themselves lead to new theoretical knowledge. For some reason, good old dumb luck is never mentioned in the books of Physics, even though I suspect that quite a lot of the current technology is actually based on it. The thing is, somebody just noticed something peculiar when something almost normal was supposed to happen and was lucky enough to think that for a couple of minutes longer.

By the way, the mathematical problem you describe sounds like a generalization of an inversion problem. Is that it? If yes, my hutch feeling is that anything including inversion is more complex problem, and for that reason cannot be executed quickly. I have no desire to try proving this, though.

Rest assured, though, if some mathematician proves otherwise, I'll be among the first ones to butcher and apply (with crude simplification and approximations) his carefully thought out clean mental constructs and just barely mention the guy's name in as small font as possible in the References-section, just like generations of Physicists used to do before me.
Title: Re: Why Kids Hate Math
Post by: Pyro MX on November 21, 2009, 02:46:52 pm
Should I consider maths as art for a moment. Will I suddenly like it because it's art now? I doubt so. And will people like it more should the subject be presented as such? That remains to be proven. But in my experience, no matter which teacher I had, I failed to like it. As simple as this. And at this point, I think it's invariable to the way it was thought to me. Maths, as is, doesn't seem to be a subject I personally like.

I don't consider maths to be useless, far from it - it's all about how deep you are in the matter and what you learn. I wouldn't mind taking advanced math classes if I knew in what way it is linked the domain in which I study (and I'm strictly talking about math classes here). Up to now, what I've been answered in math classes is "Well, programming and computers is basically maths". And that is just plain blatantly false. It involves maths depending what you're working on, but conceiving software is far more than "just maths". The thing is, I'm not a mathematician, and probably won't be one soon. Don't waste my time showing things I'' forget two weeks after the exams. And the problem is, I may do so while what I saw in classes was indeed important for me to know, but because it was presented in a way that seemed completely pointless to me, I won't have the reflex of correctly studying the matter.

And that may be a problem. Kids are being shown things that may appear pointless to them, and some times, with reason. School is also about doing stuff you won't necessarily like. And everybody should go trough that kind of situation regardless of the subject that is being studied. And in my past professional experience, I had to do stuff I didn't necessarily like. The difference between this and maths, is that when I'm finished doing my math problem, I don't feel satisfaction. The problem was pointless, and the solution was as pointless as the problem.
Title: Re: Why Kids Hate Math
Post by: Snail on November 21, 2009, 03:00:02 pm
I suck at Maths but I think it's interesting, but I do get satisfaction when I successfully find an answer to a problem.
Title: Re: Why Kids Hate Math
Post by: Lucika on November 21, 2009, 08:28:38 pm
"Suppose I am given the sum and difference of two numbers. How
can I figure out what the numbers are themselves?"

As he mentioned, these are those things that might be able to make math more interesting than it is right now. Sadly, these are only given to those who are already on upper level and finish the regular worksheet in 20 minutes or so.
I know. I am one of them.

Spoiler:
Though the question above is incredibly simple: (sum+difference)/2; (sum-difference)/2
Title: Re: Why Kids Hate Math
Post by: TESLA on November 22, 2009, 07:24:00 pm

To be fair,

I do believe with maths, there is an element of natural intelligence to it.
Some people get it, others dont.
Others simply do have an interest in it. They might prefer to study history or music, etc. We all have different tastes and orientations.
But the big influence is the teacher. If the teacher knows his/her stuff & is passionate about his/her job  then kids will enjoy the subject and are more likely to learn from it.
Title: Re: Why Kids Hate Math
Post by: Lucika on November 23, 2009, 05:34:42 am

To be fair,

I do believe with maths, there is an element of natural intelligence to it.
Some people get it, others dont.
Others simply do have an interest in it. They might prefer to study history or music, etc. We all have different tastes and orientations.
But the big influence is the teacher. If the teacher knows his/her stuff & is passionate about his/her job  then kids will enjoy the subject and are more likely to learn from it.

I agree. A horrible teacher was able to present such levels of epic suckage that I seriously disliked my favourite class (history) under her, and in contrast, the presence of a new biology teacher suddenly improved my grades.
The teacher is very important.
Title: Re: Why Kids Hate Math
Post by: brandx0 on November 28, 2009, 12:45:58 am
I believe in the simplicity and beauty of math, as shown by this very educational video, it reminds me of being back in high school!

http://www.youtube.com/watch?v=drE5cHe6c3s