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Old 3rd June 2012, 10:52 PM   #1
psionl0
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How much mathematics do we need today?

Recently, it has been asked, Is Higher-Level Math needed for everyone? Clearly the answer is no.

However, it occurs to me that a more appropriate question would be, "what is the minimum amount of mathematics we need to get by today?" Clearly we need to be able to do some financial calculations and we need a good enough understanding of statistics so that we can tell if someone is trying to sell us a pup.

In terms of specifics, I would start off with the following skills:
- Mental arithmetic
- Fractions, decimals, percentages
- Ability to use formulas
- etc

There are others that I think should be added but I will throw it over to other JREFers for now.
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Old 3rd June 2012, 11:43 PM   #2
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Personally I've never had to use much other than basic mental arithmetic and fractions/decimals/percentages. But then again I don't work as an engineer (for example), who would have to use a lot more mathematics in their day-to-day work than I do.
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Old 4th June 2012, 01:24 AM   #3
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I concede that most people do not need infinitesimal calculus but if someone wants to go into engineering after high school you need it a lot and teaching it has to be started way before you graduate from HS. The role of school up to the level of HS should be to teach broad range of subjects one of which is math.

Niall Ferguson says in his book The Ascent of Money that the world is divided into those not knowledgeable about financial world and those who know. His opinion is that this is one of the many reasons of growing inequality. People should know math so well that they could understand the basics of finance, be confident about calculating percentages and understand compounding interest so hopefully they would not max their credit cards at all times and take a loan that is not reasonable.
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Old 4th June 2012, 01:29 AM   #4
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Originally Posted by arthwollipot View Post
Personally I've never had to use much other than basic mental arithmetic and fractions/decimals/percentages. But then again I don't work as an engineer (for example), who would have to use a lot more mathematics in their day-to-day work than I do.
When you are negotiating a financial deal, do you understand the discussion or do you wait for the guy to stop talking so you can sign on the bottom line?
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Old 4th June 2012, 01:30 AM   #5
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Originally Posted by psionl0 View Post
How much mathematics do we need today?

This is obvious trolling. Because, any sentient being knows the answer is 42.
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Old 4th June 2012, 01:52 AM   #6
psionl0
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Originally Posted by gabeygoat View Post
This is obvious trolling. Because, any sentient being knows the answer is 42.
What was the question?
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Old 4th June 2012, 01:53 AM   #7
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Originally Posted by psionl0 View Post
What was the question?
Life, the Universe and Everything
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Old 4th June 2012, 01:54 AM   #8
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Originally Posted by psionl0 View Post
Recently, it has been asked, Is Higher-Level Math needed for everyone? Clearly the answer is no.

However, it occurs to me that a more appropriate question would be, "what is the minimum amount of mathematics we need to get by today?" Clearly we need to be able to do some financial calculations and we need a good enough understanding of statistics so that we can tell if someone is trying to sell us a pup.

In terms of specifics, I would start off with the following skills:
- Mental arithmetic
- Fractions, decimals, percentages
- Ability to use formulas
- etc

There are others that I think should be added but I will throw it over to other JREFers for now.
I think I brought this up in the other thread. My high school required everybody to pass Algebra and Geometry to graduate. But passing those classes was fairly easy. Easier than History or English. If you could pass 25% of the course, you would get a D, or usually a C-.

And that is probably about where it should be. A high school graduate should have a very basic understanding of algebra and geometry. They should “know what it is about” but not much more. The important part is that they “grasp the concept”. As long as everybody gets that, the rest is a buncha formulas and number crunching. Pay the nerds to do that.
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Old 4th June 2012, 03:20 AM   #9
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define "we".
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Old 4th June 2012, 04:20 AM   #10
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Originally Posted by psionl0 View Post
Recently, it has been asked, Is Higher-Level Math needed for everyone? Clearly the answer is no.

However, it occurs to me that a more appropriate question would be, "what is the minimum amount of mathematics we need to get by today?" Clearly we need to be able to do some financial calculations and we need a good enough understanding of statistics so that we can tell if someone is trying to sell us a pup.

In terms of specifics, I would start off with the following skills:
- Mental arithmetic
- Fractions, decimals, percentages
- Ability to use formulas
- etc

There are others that I think should be added but I will throw it over to other JREFers for now.
I'm not sure that mental arithmetic is necessarily good. Without a calculator, writing your calculations down allows you to check for errors. Drawing diagrams helps problem solving.
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Old 4th June 2012, 04:34 AM   #11
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Originally Posted by psionl0 View Post
When you are negotiating a financial deal, do you understand the discussion or do you wait for the guy to stop talking so you can sign on the bottom line?
I don't think I've yet have to discuss a deal of any sort where percentages (and recursions, admittedly) wouldn't have been enough to understand what was going on.

The most complicated thing I have going on is a pension scheme supported by me, my employer and the government. But all of that - if I understood it correctly - breaks down into different people contributing different percentages of the total, and cumulative interest.

i.e. I pay x% of my salary, my employer pays z% on top of what I paid, or maybe a fixed sum, I'd have to look. The government makes this tax-deductible, i.e. I am not paying income tax on the money I put in, making the x% somewhat smaller in real terms.

Money accumulates over the years.

I die before ever seeing a penny of it all - the end.
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Old 4th June 2012, 04:35 AM   #12
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I would also add a basic knowledge of statistics. Like being able to answer correctly a question like this
You guess the result of a toss of a fair 6 sided die and pay one coin. If you guess right you get 5 coins back. If you do this lots of times do you end up richer or poorer? All coins are of the same value.

Plus what DevilsAdvocate said, a knowledge of Algebra and Geometry.


Edit. I guess people should understand both probability and statistics.
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Old 4th June 2012, 06:25 AM   #13
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Originally Posted by psionl0 View Post
When you are negotiating a financial deal, do you understand the discussion or do you wait for the guy to stop talking so you can sign on the bottom line?
As a rule, I do not negotiate financial deals, because I tend to do exactly that. Fortunately, I have someone who can do that stuff on my behalf.

Yes, I'm absolutely serious.
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Old 4th June 2012, 07:13 AM   #14
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Originally Posted by gabeygoat View Post
Quote:
Originally Posted by psionl0
What was the question?
Life, the Universe and Everything
While that was the question asked - as Deep Thought pointed out - it was not the correct question to the answer given.
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Old 4th June 2012, 08:00 AM   #15
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Originally Posted by psionl0 View Post
How much mathematics do we need today?
All of it.
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Old 4th June 2012, 09:53 AM   #16
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Originally Posted by Baloney View Post
All of it.
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Old 4th June 2012, 09:56 AM   #17
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How much mathematics do we need today?

Understanding the terms of a house loan and a rapid loan take some effort.
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Old 4th June 2012, 10:39 AM   #18
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If you want to think of it like that, then higher level reading isn't needed by anyone, either. For that matter, any higher level education isn't needed. But for those that have the higher level education, and got the jobs based off of it, yeah, they need it.

Same with math. Those college courses I took with the applied mathematics in it have a purpose. I use some of it and wish I had the desire to remember more of it so that I could use that too. Especially around here where questions come up all the time that could be answered with the right equations.

Last edited by Careyp74; 4th June 2012 at 10:40 AM. Reason: removed all of the unnecessary commas.
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Old 4th June 2012, 08:40 PM   #19
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Originally Posted by arthwollipot View Post
As a rule, I do not negotiate financial deals, because I tend to do exactly that. Fortunately, I have someone who can do that stuff on my behalf.
This is what I am referring to. You need to possess a certain knowledge of maths to work out your finances - whether it is your own knowledge or someone else's.
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Old 4th June 2012, 08:58 PM   #20
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But if everyone knew that much math there would be no casinos and lotteries.
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Old 4th June 2012, 10:09 PM   #21
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Can't I just let Excel handle the math?
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Old 5th June 2012, 12:32 AM   #22
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You are always going to end up in the paradoxical situation of arguing you don't need advanced maths, whilst using advanced maths, to make that argument (computer science, programming, hand-eye co-ordination); even if its largely an unconscious algorithm you are using.
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Old 5th June 2012, 05:46 AM   #23
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Originally Posted by Corsair 115 View Post
Can't I just let Excel handle the math?
This just got me thinking.... pretty soon we will have an app for everything, so yes, most people wouldn't need to know any higher level math if they trust their iPhone.

In school they will just teach you how to call up the program on your phone and punch in the numbers. You won't even need to worry about which equation goes with what. Want to find the speed of a ball going down an incline plane starting at 0 mps? Open the ball down an incline plane app. When it asks you starting speed put 0, and when it asks you the degree of incline, take a picture of the ramp with your camera phone and it will measure it for you.

Physics gets a whole lot easier too! Open the Free Body Diagram App, take a picture of any contraption you like, and touch the screen at the locations of the known variables. You may need to actually call out any lines and solid beams in the Beta version of the app.
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Old 5th June 2012, 11:09 AM   #24
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Originally Posted by Corsair 115 View Post
Can't I just let Excel handle the math?
Excel excels at arithmetic, not math. If you don't understand math, you won't be able to set up a useful spreadsheet to begin with.
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Old 5th June 2012, 06:29 PM   #25
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There's a handful of concepts that I find useful and recurring in mundane life activities. Gas laws; solid geometry; and the ratio of surface area to volume.

Beyond that, there is the fun stuff, for the layman, and the deeper understanding, for the professional.
Being able to read a label, or see through slanted statistics can be handy in shopping.
People are often preyed upon due to their complete disconnect from simple maths, and that's a pity.
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Old 5th June 2012, 07:04 PM   #26
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"Maths" ? Gosh, you sure talk purty. You a English fella?

But seriously. My trouble bought a tool shed online and it needs a base, not included. I drew a diagram and measured out what dimensions of the lumber were needed, taking into account that 6X2 really means 5.5X1.5 and took it to Home Despot, the only place around that will cut PT lumber for you.
A number of college students, in my experience, do not know how to do that. And boy, do they hate Stats.

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Old 5th June 2012, 07:09 PM   #27
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I need somewhere between a smidgeon and a bit. It gets confusing when people start using different units of math, though. I mean, what the hell is a tad?
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Old 5th June 2012, 10:29 PM   #28
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Originally Posted by Corsair 115 View Post
Can't I just let Excel handle the math?
I would actually consider the ability to use a spreadsheet a pretty important skill nowadays. I find it strange that schools will teach a kid to rely on calculators but won't teach them anything useful in Excel (at least, not in a maths class anyway).
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Old 6th June 2012, 12:12 AM   #29
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For most people, they never use any mathematics that they didn't already learn at primary school (by 5th grade).

It is true that they get better at it but arithmetic, percentages and basic shape and space properties get most people through an entire life.
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Old 6th June 2012, 03:27 AM   #30
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The most common "maths" people ask me to do is conversions. It isn't that they couldn't convert 1.13 cups into something easier ( a cup and a tablespoonful) but that when they try it, they just don't have any confidence in their answer.

So the level of math I think people need is, "enough to know when it either sounds right or when you've really screwed up the calculation."
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Old 6th June 2012, 04:59 AM   #31
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Originally Posted by Lamuella View Post
define "we".
Its the same "we" as in "We" are all in this together so "we" have decided to raise "our" taxes.
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Old 6th June 2012, 05:06 AM   #32
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This book (http://www.amazon.com/Innumeracy-Mat.../dp/0679726012) explains why we need to know math.
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Old 6th June 2012, 05:50 AM   #33
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Originally Posted by Ladewig View Post
But if everyone knew that much math there would be no casinos and lotteries.
I don't think that's true. People like the little thrill of thinking they just might be about to win something. They're paying for adrenaline. How many casino customers actually expect to come out ahead?
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Old 6th June 2012, 05:54 AM   #34
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As I mentioned in the other thread, statistics, statistics and more statistics. I think a basic understanding of statistics is necessary for understanding the world today. Right or wrong, a lot of decisions are being made on the basis of statistics, ie. health care.
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Old 6th June 2012, 06:52 AM   #35
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Originally Posted by Kid Eager View Post
I need somewhere between a smidgeon and a bit. It gets confusing when people start using different units of math, though. I mean, what the hell is a tad?
A tad is a bit more than a smidgeon.
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Old 6th June 2012, 07:57 AM   #36
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I find I use trigonometry, exponential functions, and logarithms on a fairly regular basis. But then again, some of my pursuits are unusual (although others aren't).

- Home improvements. Sooner or later, in any project, something is likely to need to be measured or cut at some crazy angle for some reason or other. (Experienced carpenters know tricks for working these out physically using a framing square, but I don't know them all, so I have to reach for my calculator instead.)

- Graphics programming. Try to write the simplest routine (say, "draw an arrow at coordinates x1, y1 that points toward coordinates x2, y2") without a thorough command of the trig functions.

- Basic circuit design.

- Game design. (Ask me about my alternate d20 success table based on exponential functions, that doesn't go haywire when you stack situational modifiers).

- Explaining phenomena at unfamiliar scales (read: addressing the physics arguments of 9/11 Truthers).

I think the first example, regarding the framing square, is telling, and analogies apply to most of the other examples as well. Math knowledge is often a substitute for more specific professional practice or "rule of thumb" knowledge. The real pros have found ways to eliminate the direct use of math (and thereby gain speed and reduce errors as well), but for an amateur trying to apply knowledge of one area to other less familiar areas -- and any critical thinker is likely to be in that role at times -- math is indispensable.

Respectfully,
Myriad
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Old 6th June 2012, 08:04 AM   #37
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Ask the presidential candidates how much math they know.

There is your answer. Sadly.
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Old 6th June 2012, 08:07 AM   #38
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Originally Posted by quarky View Post
There's a handful of concepts that I find useful and recurring in mundane life activities. Gas laws...
Exactly what "mundane life activities" would require you to know any of the Gas Laws or even consider standard temperature and pressure?
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Old 6th June 2012, 08:11 AM   #39
Careyp74
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Originally Posted by Baloney View Post
Exactly what "mundane life activities" would require you to know any of the Gas Laws or even consider standard temperature and pressure?
Well, just last week I blew up my son's new inflatable pool, as much as I could so that it held the water in better. After an hour in the sun the top ring deflated due to too much pressure against the valve. Keeping Boyle's Law in mind would have prevented this.

ETA: not saying that the formulas would help, but they teach you beyond the basics so that the basics themselves will stick.
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Old 6th June 2012, 08:25 AM   #40
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Originally Posted by Careyp74 View Post
Well, just last week I blew up my son's new inflatable pool, as much as I could so that it held the water in better. After an hour in the sun the top ring deflated due to too much pressure against the valve. Keeping Boyle's Law in mind would have prevented this.

ETA: not saying that the formulas would help, but they teach you beyond the basics so that the basics themselves will stick.
Actually, that works well enough as an example. Thanks!
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