Math in high school

History_Buff said:
Roman's built REALLY good buildings. Notice how a number of them are still standing :p

Amusingly, this is largely because the Romans didn't have much of a clue about mathematics. Their engineering skills were a matter of trial and failure and rules-of-thumb; they couldn't really calculate how strong they needed to build things, how much concrete to use, etc. For expensive prestigious public buildings such as temples and amphitheatres and aqueducts they tended to make damn sure they used enough, which is why a number of those have survived until the present day. At the same time they put up a lot of cheap-ass tenement buildings and such that proved less durable (sometimes collapsing while still in use), and you don't see a lot of those anymre.
 
It's very sad that geometry and algebra are now considered "advanced". :( I'd hate to hear what they call calculus or differential equations.

But sadly, around here only algebra is required to graduate from HS.
 
i've become convinced that advanced math, such as (advanced) Algebra, Geometry, and Trig should not be required to graduate high school.

If you think they are complicated or advanced, you havent got to surds and imaginary numbers. Yes, there are numbers that dont exist, but still exist.
 
greekguy said:
this is an issue that's been bothering me the past 2 years, so i think i'll share it with you guys. i've become convinced that advanced math, such as (advanced) Algebra, Geometry, and Trig should not be required to graduate high school. basically, i think this because the majority of people who graduate high school won't need this info at any point in their lives. only jobs such as engineers, scientists, math teachers, etc. will need to know this stuff. i don't plan on going into a career where advanced math is needed, so why should i be required to learn this to graduate high school? it's a waste of my time and useless to me!! IMO, these topics should be taught in elective math classes, for people who are interested in math and hope to continue with math in the future.

IMO, the only math i need to know in life is the basic 4 operations, fractions, percents, decimals, and some knowledge in solving basic equations.

:rotfl: This thread cracks me up.
Over here, Algebra, Geometry and Trigonometry are necesary to get INTO high school. (the 8th grade exam)
 
I imagine mathematical proof would be valued knowledge for anyone going into law in the future.

Greekguy, I cannot think of one subject that does not need in some way benefit from knowledge of maths, but I challenge you to come up with one :).
 
azzaman333 said:
If you think they are complicated or advanced, you havent got to surds and imaginary numbers. Yes, there are numbers that dont exist, but still exist.
It's all relative. From where I'm standing surds and imaginary numbers aren't in the slightest bit advanced. Talking to my friends who are studying maths at uni really gets my head in a mess - that's what I call advanced.
 
Speedo said:
It's very sad that geometry and algebra are now considered "advanced". :( I'd hate to hear what they call calculus or differential equations.

But sadly, around here only algebra is required to graduate from HS.

Calculus is not required to graduate my high school and very few kids take it at my school...i know i'm not gonna take it.

Truronian said:
I imagine mathematical proof would be valued knowledge for anyone going into law in the future.

Greekguy, I cannot think of one subject that does not need in some way benefit from knowledge of maths, but I challenge you to come up with one .

i'm not saying knowledge of math is not needed in everyday life, cause it is, but i don't need to know how to simplify a radical (for example) when i'm older. I'm just not gonna use it!!
 
aneeshm said:
When I read this thread , I feel tempted to laugh in derision ( even though I'm too polite to actually do it ) . You consider beginning Algebra ( quadratic equations , for God's sake ! How much more basic can you get ?! ) , geometry , and trigonometry to be "advanced math" ?!

Over here in India , calculus , differential equations , algebra of matrices and sets , and boolean and vector algebra , and 3d coordinate geometry are considered basic math . WTH is wrong with the USA's school system that all this is taught only in AP classes ( we in India have no AP classes - the normal courseload it too high to permit them , and all the AP stuff is part of the normal coursework anyway ) ?

No wonder people in the US are worried about loss of jobs to other countries - they need an immediate overhaul of their school system . They need to stop caring for stuednts' self-esteem ( managing that is not the school's problem , the school's job is to provide an education ) and re-introduce rigor in education .

In Spain we weren't so rigorous but, same as what heretic_cata says, we studied the things you mention in high school. (calculus, differential equations (and limits, of course), matrices and sets, vector algebra, 3D coordinate geometry, plus imaginary numbres, statistics, probability, and integrals (there are always a problem about integrals in the qualification exam to get into the uni). Things like trigonometry and basic algebra (does Newton's binomy qualify as basic algebra?) are studied in middle school (up to 12-13 yo), along with other stuff like abelian groups and base change.

BTW, When you say geometry, are you talking about calculating the perimeter and area of a circle or the volume of a tetrahedron? i think that is middle school stuff as well. It is just to know which formula you have to apply and apply it. It might be a hassle to memorize all the formulas but when you are older and you know calculus, you only have to know one, e.g. area of the circle pi*r^2 and differenciate it to obtain the perimeter of the circumference. 2*pi*r.

My degree is in Pharmacy and I had to learn advanced calculus, advanced statistics, advanced probability, Taylor series and sequences (which I guess belong to calculus) during the math course. later on in physical-chemistry we learnt some partial differential equations and fourier series.

seriously, if american students think geometry and trigonometry are hard to learn and useless, you are going to be in big trouble.

Leifmk said:
Amusingly, this is largely because the Romans didn't have much of a clue about mathematics. Their engineering skills were a matter of trial and failure and rules-of-thumb; they couldn't really calculate how strong they needed to build things, how much concrete to use, etc. For expensive prestigious public buildings such as temples and amphitheatres and aqueducts they tended to make damn sure they used enough, which is why a number of those have survived until the present day. At the same time they put up a lot of cheap-ass tenement buildings and such that proved less durable (sometimes collapsing while still in use), and you don't see a lot of those anymre.

ahem... romans didn't use concrete. And I doubt very much that you can build things like the aqueduct in the photograph without a clue in maths.

Segovia%20aqueduct5.JPG


believe it or not, it still can carry water.
 
Advanced Math?

To the OP, you don't know what advanced math is. I'm regularly running Monte Carlo simulations, Markov modeling, and other high level statistical abstractions.

To say that we should not teach BASICS in high school, I just don't understand. You will use Algebra in your life. You better at least, or else you'll wind up poor, or at best, middle class, unless you can rap or play a sport.
 
:lol: at quadratic equations being advanced Math. That's like writing being advanced Literature or knowing the year in which your country was founded being advanced History. :lol:

Of course you dont need to know how to solve differential equations to be a lawyer or whatnot, just as you dont need to know basic geography to be an engineer or a physicist. But the point is not in knowing the minimum necessary to do your job, but in avoiding being an ignorant blockhead.
 
greekguy said:
i'm not saying knowledge of math is not needed in everyday life, cause it is, but i don't need to know how to simplify a radical (for example) when i'm older. I'm just not gonna use it!!

The same logic that you must use to simplify a radical can be used to simplify an argument in law or to reduce the work taken to build a table in CDT. Its not always the exact mathematical algorithms that are of use to you in other fields, its the mathematical logic behind them. The best way to teach this logic is through these seemingly inane algorithms. So I'd wager you will use it, but you may not realise it ;).
 
Leifmk said:
Um, yes, they did, in copious amounts. It's not a modern invention, the Egyptian and Mesopotamian civilizations used it long before then.


I double-checked and you are right. :)
 
Urederra said:
Things like trigonometry and basic algebra (does Newton's binomy qualify as basic algebra?) are studied in middle school (up to 12-13 yo), along with other stuff like abelian groups and base change.

the earliest you can take trigonometry in my school system, is in a honors Geometry w/Trig class in 8th grade. I'm on the "normal" track at my school, so i am taking Geo w/Trig this year (9th grade). i wouldn't have been able to do this stuff if i learned it in middle school like you. (neither would 90% of the kids in my school)

Urederra said:
BTW, When you say geometry, are you talking about calculating the perimeter and area of a circle or the volume of a tetrahedron? i think that is middle school stuff as well. It is just to know which formula you have to apply and apply it. It might be a hassle to memorize all the formulas but when you are older and you know calculus, you only have to know one, e.g. area of the circle pi*r^2 and differenciate it to obtain the perimeter of the circumference. 2*pi*r.

Perimeter and area are concepts i learned in elementary school, although they seem to think its neccessery to go over it again every year. :rolleyes: the stuff i'm learning right now, isn't really "hard", its just frustrating to me since i have to sit down and study a lot to do good. i don't like to do this especially, when i study very little for my other classes. for example:

study time for average Geo quiz: 20-40 minutes
study time for average history honors quiz: 10-15 minutes
study time for general science quiz: 3-5 minutes

it just seems like i'm spending all this time doing stuff that has little to no bearing on my future career.
 
But later on, the math will become intuitive. You'll just be able to 'do' it. Unlike history. If you want to know something about Babylon, you'll have to go learn about it - no matter how well you do on honors history.

But math will become (and remain) intuitive.
 
El_Machinae said:
But later on, the math will become intuitive. You'll just be able to 'do' it. Unlike history. If you want to know something about Babylon, you'll have to go learn about it - no matter how well you do on honors history.

But math will become (and remain) intuitive.

most adults i know don't remember much math they learned in school. they remember a little algebra, but really nothing beyond that.
 
greekguy said:
most adults i know don't remember much math they learned in school. they remember a little algebra, but really nothing beyond that.

What do most adults you know do for a living?
 
High school isn't meant to be vocational.

Not everyone needs to know math, but everyone should know how to think like a mathematician---logically and systematically. And in addition to "mathematician," you can add scientist, historian, artist, etc.

And what do you think high school should consist of, if not math (and therefore surely not history, literature, etc.)? Accounting?
 
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