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Is Algebra Necessary? - Page 33

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Epishade
Profile Blog Joined November 2011
United States2267 Posts
July 29 2012 22:18 GMT
#641
Is anyone else wondering how so many people are failing algebra? I thought my algebra in high school was easy. Maybe the article is talking about some other type of algebra that I haven't learned yet and is ten times harder?

Everyone should learn at least basic algebra. Unless I'm thinking of something else, the importance of being able to form and understand equations is significant. The one thing I would say is that (to me at least) there are a lot of subjects in math that are completely useless to ~90% of students. I remember a few years ago in a math class, we were learning something which would probably never pertain to our lives in the future. This one kid raised his hand and said, "What are we ever going to need to know this for?". The teacher got mad and ignored him lol. But I feel like this is a fairly common occurrence and thought for students. And I definitely don't blame them for asking/thinking it.
Pinhead Larry in the streets, Dirty Dan in the sheets.
DoubleReed
Profile Blog Joined September 2010
United States4130 Posts
Last Edited: 2012-07-29 22:21:36
July 29 2012 22:20 GMT
#642
On July 30 2012 07:16 eusoc wrote:
Show nested quote +
On July 30 2012 07:13 DoubleReed wrote:
On July 30 2012 07:11 eusoc wrote:
On July 30 2012 06:57 Kazius wrote:
On July 30 2012 06:30 chenchen wrote:
If every mathematician in the world disappeared, it would not hinder the functioning of society one bit.

Obviously, you have never worked for a software company or in scientific research. Good mathematicians are a requisite for anything high-tech nowadays.


Oh, well... u know... houses, cars, phones...

or u mean mathematician like this?

http://en.wikipedia.org/wiki/Cauchy

Oh, wait, he was an engineer

better try this one

http://en.wikipedia.org/wiki/Lazare_Carnot

wait.. what the hell, even this one is an engineer



Uh... they were both. It's not like Cauchy had to prove theorems in analysis to build shit. He's far more well known for his mathematics than he is known for his engineering.


Actually to build up his "continuum mechanics" he needed those instruments


Nonetheless, it was much easier back then to be proficient in many different fields and be at the forefront of all of them. Now all of our fields have way more depth, so omnidisciplinary scientists are basically considered to be practically impossible nowadays.

To say that Cauchy was an engineer and not a mathematician is stupid. He was both.
chenchen
Profile Joined November 2010
United States1136 Posts
July 29 2012 22:22 GMT
#643
On July 30 2012 07:11 eusoc wrote:
Show nested quote +
On July 30 2012 06:57 Kazius wrote:
On July 30 2012 06:30 chenchen wrote:
If every mathematician in the world disappeared, it would not hinder the functioning of society one bit.

Obviously, you have never worked for a software company or in scientific research. Good mathematicians are a requisite for anything high-tech nowadays.


Oh, well... u know... houses, cars, phones...

or u mean mathematician like this?

http://en.wikipedia.org/wiki/Cauchy

Oh, wait, he was an engineer

better try this one

http://en.wikipedia.org/wiki/Lazare_Carnot

wait.. what the hell, even this one is an engineer



How about mathematicians like this: http://en.wikipedia.org/wiki/Alexander_Grothendieck

Or this: http://en.wikipedia.org/wiki/Kolmogorov

. . . I could point to a time period when all those who can write are clergymen, but that does not mean being a priest is necessary for the acquisition of literacy in the modern world.
powerade = dragoon blood
UdderChaos
Profile Blog Joined February 2010
United Kingdom707 Posts
July 29 2012 22:24 GMT
#644
On July 30 2012 07:06 chenchen wrote:
Show nested quote +
On July 30 2012 06:57 Kazius wrote:
On July 30 2012 06:30 chenchen wrote:
If every mathematician in the world disappeared, it would not hinder the functioning of society one bit.

Obviously, you have never worked for a software company or in scientific research. Good mathematicians are a requisite for anything high-tech nowadays.


That's funny because I've worked in software development and in scientific research.

Most of either require no mathematics whatsoever. Some work in scientific research or software development may require recognition of the results of mathematics. Please go back to my post and read my brief and crude introduction of what a mathematician is.

Well obviously you don't seeing as all software development is done with algebra, and how are you supposed to do scientific research without stochastic processes, which is based on random variables, which is algebra. Even if you ignore the obvious of statistics requiring algebra, what about the subject your studying? ecology? well that needs differential equations to model and understand. Engineering, don't even go there. Any astrophysics and physics in general are just math. Most social scientists require mathematical models and equations for populations. And im sorry but what is software development without any variables, because that's algebra.

As for the criticism of pure mathematics or high level not being applicable, while somewhat true, high level mathematics allows us to understand mathematics as a whole, which in turn effects applied mathematics. For example an engineer might look at the field of logic and proofs in mathematics and scoff as it's lack of application , but it's implications in his field just from say, the abel ruffini theorem are very important, and is why we need computers, and even higher level of mathematics to solve quintic and equations of higher orders.
Nunquam iens addo vos sursum
Perdac Curall
Profile Joined June 2011
242 Posts
July 29 2012 22:24 GMT
#645
On July 30 2012 07:18 Epishade wrote:
Is anyone else wondering how so many people are failing algebra? I thought my algebra in high school was easy. Maybe the article is talking about some other type of algebra that I haven't learned yet and is ten times harder?

Everyone should learn at least basic algebra. Unless I'm thinking of something else, the importance of being able to form and understand equations is significant. The one thing I would say is that (to me at least) there are a lot of subjects in math that are completely useless to ~90% of students. I remember a few years ago in a math class, we were learning something which would probably never pertain to our lives in the future. This one kid raised his hand and said, "What are we ever going to need to know this for?". The teacher got mad and ignored him lol. But I feel like this is a fairly common occurrence and thought for students. And I definitely don't blame them for asking/thinking it.


No you are not wrong. It is easy, and it should be taught to high school students. I learned basic algebra in elementary school, in word problems and such. I am glad to hear about that algebra requirement for California universities. It should be like that in every state. A basic scientific competency is essential for an educated populace.
If a Black Death could spread throughout the world once in every generation, survivors could procreate freely without making the world too full. The state of affairs might be unpleasant, but what of it? -Sith Lord Bertrand Russell
UrsusRex
Profile Joined July 2012
United States85 Posts
July 29 2012 22:24 GMT
#646
"one of those few subjects where you can really objectivily test someone's intelligence."

Its impossible to objectively measure intelligence and even if you could a math test only objectively measures your ability to do math. The problem with measuring intelligence is how many environmental factors change. You have huge differences in intelligence based on diet, oxygen density at the elevation they live, the amount of sunlight during the day. Your intelligence level is not completely set at birth, perhaps your potential is but the rest breaks down in the variables of living. Even IQ tests can only measure how well you do on an IQ test.
"It is not sufficient that I succeed - all others must fail" - Genghis Khan
DoubleReed
Profile Blog Joined September 2010
United States4130 Posts
July 29 2012 22:25 GMT
#647
On July 30 2012 07:22 chenchen wrote:
Show nested quote +
On July 30 2012 07:11 eusoc wrote:
On July 30 2012 06:57 Kazius wrote:
On July 30 2012 06:30 chenchen wrote:
If every mathematician in the world disappeared, it would not hinder the functioning of society one bit.

Obviously, you have never worked for a software company or in scientific research. Good mathematicians are a requisite for anything high-tech nowadays.


Oh, well... u know... houses, cars, phones...

or u mean mathematician like this?

http://en.wikipedia.org/wiki/Cauchy

Oh, wait, he was an engineer

better try this one

http://en.wikipedia.org/wiki/Lazare_Carnot

wait.. what the hell, even this one is an engineer



How about mathematicians like this: http://en.wikipedia.org/wiki/Alexander_Grothendieck

Or this: http://en.wikipedia.org/wiki/Kolmogorov

. . . I could point to a time period when all those who can write are clergymen, but that does not mean being a priest is necessary for the acquisition of literacy in the modern world.


...what?

It's not like we're "done" with mathematics. Hell, mathematical biology looks like it will become an incredibly important discipline in developing biotechnology. We still have a long way to go.
chenchen
Profile Joined November 2010
United States1136 Posts
July 29 2012 22:30 GMT
#648
On July 30 2012 07:25 DoubleReed wrote:
Show nested quote +
On July 30 2012 07:22 chenchen wrote:
On July 30 2012 07:11 eusoc wrote:
On July 30 2012 06:57 Kazius wrote:
On July 30 2012 06:30 chenchen wrote:
If every mathematician in the world disappeared, it would not hinder the functioning of society one bit.

Obviously, you have never worked for a software company or in scientific research. Good mathematicians are a requisite for anything high-tech nowadays.


Oh, well... u know... houses, cars, phones...

or u mean mathematician like this?

http://en.wikipedia.org/wiki/Cauchy

Oh, wait, he was an engineer

better try this one

http://en.wikipedia.org/wiki/Lazare_Carnot

wait.. what the hell, even this one is an engineer



How about mathematicians like this: http://en.wikipedia.org/wiki/Alexander_Grothendieck

Or this: http://en.wikipedia.org/wiki/Kolmogorov

. . . I could point to a time period when all those who can write are clergymen, but that does not mean being a priest is necessary for the acquisition of literacy in the modern world.


...what?

It's not like we're "done" with mathematics. Hell, mathematical biology looks like it will become an incredibly important discipline in developing biotechnology. We still have a long way to go.


When did I ever allude to anyone being "done" with mathematics? All I was trying to say is that being a mathematician is absolutely unrelated to being an engineer and just because engineers tended to pursue mathematics in a certain time period does not mean engineering is at all relevant to modern mathematics. Thus, his example of Cauchy being an engineer makes no sense.

Just as only clergy pursued writing thousands of years ago in river valley civilizations does not mean that today, writing is limited to the clergy.
powerade = dragoon blood
chenchen
Profile Joined November 2010
United States1136 Posts
July 29 2012 22:32 GMT
#649
On July 30 2012 07:24 UdderChaos wrote:
Show nested quote +
On July 30 2012 07:06 chenchen wrote:
On July 30 2012 06:57 Kazius wrote:
On July 30 2012 06:30 chenchen wrote:
If every mathematician in the world disappeared, it would not hinder the functioning of society one bit.

Obviously, you have never worked for a software company or in scientific research. Good mathematicians are a requisite for anything high-tech nowadays.


That's funny because I've worked in software development and in scientific research.

Most of either require no mathematics whatsoever. Some work in scientific research or software development may require recognition of the results of mathematics. Please go back to my post and read my brief and crude introduction of what a mathematician is.

Well obviously you don't seeing as all software development is done with algebra, and how are you supposed to do scientific research without stochastic processes, which is based on random variables, which is algebra. Even if you ignore the obvious of statistics requiring algebra, what about the subject your studying? ecology? well that needs differential equations to model and understand. Engineering, don't even go there. Any astrophysics and physics in general are just math. Most social scientists require mathematical models and equations for populations. And im sorry but what is software development without any variables, because that's algebra.

As for the criticism of pure mathematics or high level not being applicable, while somewhat true, high level mathematics allows us to understand mathematics as a whole, which in turn effects applied mathematics. For example an engineer might look at the field of logic and proofs in mathematics and scoff as it's lack of application , but it's implications in his field just from say, the abel ruffini theorem are very important, and is why we need computers, and even higher level of mathematics to solve quintic and equations of higher orders.


As I've stated before, scientific research and software development use the results of mathematics, but few that work in those fields actually produce any mathematical results.

Thus the statement to which I was originally replying is false. Since when do we need to become mathematicians to enter "most high-tech fields"? We only need to become mathematicians to enter the field of mathematics.
powerade = dragoon blood
Prplppleatr
Profile Joined May 2011
United States1518 Posts
Last Edited: 2012-07-29 22:50:24
July 29 2012 22:33 GMT
#650
Poll: Are STEM occupations the ONLY occupations to need algebra?

No (16)
 
94%

Yes (1)
 
6%

17 total votes

Your vote: Are STEM occupations the ONLY occupations to need algebra?

(Vote): Yes
(Vote): No



Quoted from Georgetown Report:
"Scientific, Technology, Engineering, Mathematics, and Social Sciences (STEM) Occupations....While these occupations are not large in number, they generate the technological changes that shape all other occupations. In 2008, STEM Occupations accounted for about 7.3 million jobs, or about 5 percent of the 147 million in the U.S. economy. By 2018, they are projected to increase to 8.6 million jobs, or 5.3 percent of the nation’s 162 million total positions"

The reason I ask the question is because this is the information the author has asserted into saying that only these positions use algebra. The actual report does NOT mention algebra, even once, and it does not assert that these are the only occupations to use algebra. It is the author's opinion.

Personally, I do not agree with the author that "a mere 5 percent of entry-level workers will need to be proficient in algebra or above" because that is false and grossly asserts that only STEM occupations (as defined above) use algebra.

EDIT: Ps. Business occupations (including accounting, finance, etc) are not STEM occupations. Just to give an example of the other occupations which use algebra daily.
🥇 Prediction Contest - Mess with the best, die like the rest.
UdderChaos
Profile Blog Joined February 2010
United Kingdom707 Posts
July 29 2012 22:34 GMT
#651
What i don't understand is why would someone pinpoint algebra as something to get rid off? What about that bullshit that we learn in school such as the meaning and motifs behind John Steinbecks "Of Mice and Men"? Not that i don't appreciate literature, but why is it considered even close to on par as advancing mathematical understand. Also with modern obesity in the 1st world being a huge problem, why do schools still not teach basic cooking skills and which foods are good for you, and what exactly a nutritious diet week in, week out is.
Nunquam iens addo vos sursum
Severedevil
Profile Blog Joined April 2009
United States4839 Posts
July 29 2012 22:43 GMT
#652
On July 30 2012 07:34 UdderChaos wrote:
What i don't understand is why would someone pinpoint algebra as something to get rid off? What about that bullshit that we learn in school such as the meaning and motifs behind John Steinbecks "Of Mice and Men"? Not that i don't appreciate literature, but why is it considered even close to on par as advancing mathematical understand. Also with modern obesity in the 1st world being a huge problem, why do schools still not teach basic cooking skills and which foods are good for you, and what exactly a nutritious diet week in, week out is.

I was taught nutrition by an obese smoker. Good times.
My strategy is to fork people.
DoubleReed
Profile Blog Joined September 2010
United States4130 Posts
Last Edited: 2012-07-29 22:46:05
July 29 2012 22:45 GMT
#653
Is Finance considered a STEM field? Like Stock Trading and such?
[UoN]Sentinel
Profile Blog Joined November 2009
United States11320 Posts
July 29 2012 22:53 GMT
#654
Honestly as an HS student I think it's not "failing algebra", it's "not caring about algebra" that's the problem. I think the most basic level in my school is still an algebra course, and if teachers explained how it applies to real life and real jobs, not just engineering or science but run-of-the-mill jobs, students would start doing better in it.

But cutting it out of school is fucking ridiculous.
Нас зовет дух отцов, память старых бойцов, дух Москвы и твердыня Полтавы
Gradius
Profile Blog Joined May 2009
United States112 Posts
July 29 2012 22:57 GMT
#655
Algebra is just following directions. Everybody should be able to do it.
StarCraft: Subjection: http://www.teamliquid.net/forum/viewmessage.php?topic_id=410514
Umpteen
Profile Blog Joined April 2010
United Kingdom1570 Posts
July 29 2012 23:00 GMT
#656
I don't need algebra. I'm going to believe in myself, trust my heart, follow my dreams and win the X-factor, which has no math entrance bar - ironic for a show which employs a letter of the alphabet to represent an unknown quantity.
The existence of a food chain is inescapable if we evolved unsupervised, and inexcusable otherwise.
Squigly
Profile Joined February 2011
United Kingdom629 Posts
July 29 2012 23:07 GMT
#657
On July 30 2012 07:43 Severedevil wrote:
Show nested quote +
On July 30 2012 07:34 UdderChaos wrote:
What i don't understand is why would someone pinpoint algebra as something to get rid off? What about that bullshit that we learn in school such as the meaning and motifs behind John Steinbecks "Of Mice and Men"? Not that i don't appreciate literature, but why is it considered even close to on par as advancing mathematical understand. Also with modern obesity in the 1st world being a huge problem, why do schools still not teach basic cooking skills and which foods are good for you, and what exactly a nutritious diet week in, week out is.

I was taught nutrition by an obese smoker. Good times.


Hah so was I!
paralleluniverse
Profile Joined July 2010
4065 Posts
July 29 2012 23:09 GMT
#658
On July 30 2012 06:30 chenchen wrote:
Show nested quote +
On July 30 2012 06:06 Squigly wrote:
On July 30 2012 06:01 ]343[ wrote:
On July 30 2012 05:56 Squigly wrote:
On July 30 2012 05:54 ]343[ wrote:
On July 30 2012 05:52 Squigly wrote:
On July 30 2012 05:48 UrsusRex wrote:
"History, literature, geography is all nice but it doesnt develop intelligence in that respect."

People who say stuff like this should be ignored. People who understand history and literature and geography which is my major do in fact learn skills and solve problems and increase their thinking. I've mapped out entire rivers and done risk assesments with my geography skills. I wrote persuasive papers and passed college because of the time I took to learn literature and history is a constant in our lives. Without history math has no relevance and as history has shown us the human race does not need any particular subject to be taught for humans to become educated and highly intelligent.

That's my conclusion, people who think math must be taught or people wont be as smart are just terrible history students.


This confuses me? If all the historians disappeared, it mat be annoying but no real disaster (if im wrong please tell me ). If all the mathematicians leave, were screwed.

When it comes down to it, sciences are 100% necessary, many arts (not all) are really nice (not sarcastically) but not crucial.


On the contrary, if all historians disappeared, we'd lose most of our (collective, global) cultural heritage, and if all mathematicians (not scientists or engineers) disappeared, we'd be relatively OK.


Yea, cultural heritiage is the thing which while really cool and nice, isnt necessary. Most people managing money are mathematicians. If they all went there would be probably be chaos. And yea lol if we lost scientists or engineers thats kinda game over for the world.


Ah, I see we have a different definition of "mathematician," then.

On July 30 2012 05:57 corumjhaelen wrote:
On July 30 2012 05:54 ]343[ wrote:
On the contrary, if all historians disappeared, we'd lose most of our (collective, global) cultural heritage, and if all mathematicians (not scientists or engineers) disappeared, we'd be relatively OK.

If we're talking about professionals, historian are not needed either to keep a cultural heritage.
Anyway I like to think than maths and art have a lot in common =)


Hmm, maybe? Perhaps I'm confusing historians with curators of history museums :D


An actuary is a mathematician. An options broker is a mathematician. In my book at least, as they use complicated maths every day in their work.

Also, maths isnt that far from theoretical physics in some places, and physics is about as far form an art as its possible to be. So i dont really see maths being an arts subject. Unless your using the whole 'language of science' thing.


None of those professions are remotely close to that of the mathematician and require no mathematics whatsoever. What outcomes of the practice of mathematics actuaries and options brokers have been known for centuries. Actuaries and options brokers push numbers around in certain formulas and algorithms to determine the consequences of certain decisions. Mathematics is the study of patterns and structure. Mathematicians use the tools of mathematical reasoning to discover truths which hold in the context of certain established conventions.

If every mathematician in the world disappeared, it would not hinder the functioning of society one bit.


In case you haven't realized actuaries and quants use some of the most advanced forms of applied mathematics that there is. In fact, most of the mathematics around pricing of options and financial derivatives is so complicated no one knows how it works a little beyond the clearly wrong Black-Scholes framework. And this remains a very active area of mathematical research.

If every mathematician in the world disappeared, society would collapse. Who would be there to continue scientific progress, make informed policy recommendation, model how the world works, etc?
chenchen
Profile Joined November 2010
United States1136 Posts
July 29 2012 23:14 GMT
#659
On July 30 2012 08:09 paralleluniverse wrote:
Show nested quote +
On July 30 2012 06:30 chenchen wrote:
On July 30 2012 06:06 Squigly wrote:
On July 30 2012 06:01 ]343[ wrote:
On July 30 2012 05:56 Squigly wrote:
On July 30 2012 05:54 ]343[ wrote:
On July 30 2012 05:52 Squigly wrote:
On July 30 2012 05:48 UrsusRex wrote:
"History, literature, geography is all nice but it doesnt develop intelligence in that respect."

People who say stuff like this should be ignored. People who understand history and literature and geography which is my major do in fact learn skills and solve problems and increase their thinking. I've mapped out entire rivers and done risk assesments with my geography skills. I wrote persuasive papers and passed college because of the time I took to learn literature and history is a constant in our lives. Without history math has no relevance and as history has shown us the human race does not need any particular subject to be taught for humans to become educated and highly intelligent.

That's my conclusion, people who think math must be taught or people wont be as smart are just terrible history students.


This confuses me? If all the historians disappeared, it mat be annoying but no real disaster (if im wrong please tell me ). If all the mathematicians leave, were screwed.

When it comes down to it, sciences are 100% necessary, many arts (not all) are really nice (not sarcastically) but not crucial.


On the contrary, if all historians disappeared, we'd lose most of our (collective, global) cultural heritage, and if all mathematicians (not scientists or engineers) disappeared, we'd be relatively OK.


Yea, cultural heritiage is the thing which while really cool and nice, isnt necessary. Most people managing money are mathematicians. If they all went there would be probably be chaos. And yea lol if we lost scientists or engineers thats kinda game over for the world.


Ah, I see we have a different definition of "mathematician," then.

On July 30 2012 05:57 corumjhaelen wrote:
On July 30 2012 05:54 ]343[ wrote:
On the contrary, if all historians disappeared, we'd lose most of our (collective, global) cultural heritage, and if all mathematicians (not scientists or engineers) disappeared, we'd be relatively OK.

If we're talking about professionals, historian are not needed either to keep a cultural heritage.
Anyway I like to think than maths and art have a lot in common =)


Hmm, maybe? Perhaps I'm confusing historians with curators of history museums :D


An actuary is a mathematician. An options broker is a mathematician. In my book at least, as they use complicated maths every day in their work.

Also, maths isnt that far from theoretical physics in some places, and physics is about as far form an art as its possible to be. So i dont really see maths being an arts subject. Unless your using the whole 'language of science' thing.


None of those professions are remotely close to that of the mathematician and require no mathematics whatsoever. What outcomes of the practice of mathematics actuaries and options brokers have been known for centuries. Actuaries and options brokers push numbers around in certain formulas and algorithms to determine the consequences of certain decisions. Mathematics is the study of patterns and structure. Mathematicians use the tools of mathematical reasoning to discover truths which hold in the context of certain established conventions.

If every mathematician in the world disappeared, it would not hinder the functioning of society one bit.


In case you haven't realized actuaries and quants use some of the most advanced forms of applied mathematics that there is. In fact, most of the mathematics around pricing of options and financial derivatives is so complicated no one knows how it works a little beyond the clearly wrong Black-Scholes framework. And this remains a very active area of mathematical research.

If every mathematician in the world disappeared, society would collapse. Who would be there to continue scientific progress, make informed policy recommendation, model how the world works, etc?


I didn't have applied mathematics in mind when I was thinking of mathematics.
powerade = dragoon blood
redviper
Profile Joined May 2010
Pakistan2333 Posts
July 29 2012 23:14 GMT
#660
On July 29 2012 15:31 Spiffeh wrote:
In defense of the strugglers, some people just can't do math. They are brilliant at other things, but numbers make their head spin.

I think math should be integral in any school curriculum, but we need to also recognize when we would be better off making the kids better at what they're already good at. If Johnny shows early adeptness and passion for the guitar, we should push him to dedicate his time to learning scales instead of some math he will learn to despise.

It's cases like these where kids get bored or frustrated and learn to hate the system.


How is algebra taught in the US? When I studied it, it was about abstract ideas, rational thinking, re-framing problems. Not so much about adding some large number to some other large number.
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