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Political Science Prof Asks: Is Algebra Necessary?

Capt.Albatross writes "Andrew Hacker, a professor of Political Science at the City University of New York and author of Higher Education? How Colleges Are Wasting Our Money and Failing Our Kids — and What We Can Do About It, attempts to answer this question in the negative in today's New York Times Sunday Review. His primary claim is that mathematics requirements are prematurely and unreasonably limiting the level of education available to otherwise capable students ."

29 of 1,010 comments (clear)

  1. yes by yagu · · Score: 5, Insightful
    Yes!

    substitute in his thesis,

    Algebra is an onerous stumbling block for all kinds of students: disadvantaged and affluent, black and white.

    and substitute to:

    History is an onerous stumbling block for all kinds of students: disadvantaged and affluent, black and white.

    and you have a perfect argument for me and the school system not requiring History.

    Even better,

    $yourWorstSubject is an onerous stumbling block for all kinds of students: disadvantaged and affluent, black and white.

    and we've eliminated the need for any required subjects.

    "I am not good at", or "I don't want to" are not good arguments for not requiring learnin'.

    (-e**(i*pi) st post)

    1. Re:yes by Missing.Matter · · Score: 5, Insightful

      Mathematics is a tool, but it's not a tool everyone uses to its fullest extent. In my high school, we teach all the way up to Calculus 2, and what percentage of the population actually uses that kind of mathematics? My Uncle, and cousins run a very successful business with revenue in the hundreds of millions of dollars. My cousin is dyslexic and has terrible trouble reading and doing mathematics, but he's sitting pretty on a pile of cash and he's great at his job. Would he be better at his job if he knew how to integrate? Maybe.... but it's not necessary for him, which is what the article is asking.

      So by counterexample it's apparent not all mathematics is necessary for everyone... so I think these blanket answers I'm seeing floated around here by people who probably rely on mathematics daily for their jobs is a little short sighted.

    2. Re:yes by Anonymous Coward · · Score: 5, Insightful

      Mathematics is the language used to describe how the world around you works. At the very least you should understand the concepts of exponential growth and decay (which I think is algebra 2). Most people are going to have credit cards, 401ks, mortgages, car loans, etc. Knowing how these things work is the first step to financial success. I went through differential equations in college and honestly I can't recite off-hand the formulas for those things but I do understand how it works and could look up and calculate loan totals payoffs, monthly payments, etc.

    3. Re:yes by larry+bagina · · Score: 5, Insightful

      All mathematics? No. But math (including algebra) isn't just making sure you give the correct change in your menial fast-food cashier job, it's problem solving. And that doesn't exist (certainly not to the same degree) in other subjects.

      --
      Do you even lift?

      These aren't the 'roids you're looking for.

    4. Re:yes by Yvanhoe · · Score: 5, Insightful

      Anyone not understanding what an exponential is does not have a good enough understanding of demographics to make a fully informed decision about making babies and should not be authorized to take a loan.

      --
      The Wise adapts himself to the world. The Fool adapts the world to himself. Therefore, all progress depends on the Fool.
    5. Re:yes by Anonymous Coward · · Score: 5, Insightful

      How many people use a substantial fraction of their high school education in their working life?

      The purpose of a high school education is to enable a person to be able to be able to think and be able to have an intelligent conversation. It is not specialization nor is it designed to train someone how to perform a specific job. Math, arts, science, history, music, language, writing, civics, etc., all play a part. A person with a well rounded education is a person who can make useful judgements as a citizen.

      High school doesn't prepare people to be salesmen, barbers, engineers, doctors, receptionists, or mechanics. Each of those fields will have specific training. High school only makes it possible that once you do enter one of those fields that you can do so as an intelligent citizen.

      Is this worth it? Some developed societies separate their education systems half-way through high school into a vocational and college prep line because they want to use high school to prepare their citizens for a job. They choose specialization over breadth. It has been argued that this stifles creativity. Math and science scores are nice on paper to show off your education system, but perhaps the true measure is how creative your students are. Everyone is going to specialize after leaving high school, but the well rounded students who might be a step behind on specialization will be two steps ahead with creativity.

    6. Re:yes by kubernet3s · · Score: 5, Insightful

      Really now. This presupposes that the point of education is to provide students with things they will "use." If this were the case, why not just send students to trade school? No one really "needs" to learn how to read anything more advanced than a children's book, especially if they're a carpenter or plumber. You don't need to know history, you don't need to know anything, really, except what your job is. Except the point of creating an educated populace isn't to provide students with tools they will always use every day, but to extend their perception of the world in a way which allows them to engage in it effectively. A poor understanding of science is what makes people object to the "theory" of evolution, a poor understanding of math is why phony quantum mechanics treatises fly off the shelf, and a poor understanding of history makes people believe that the Northern US didn't practice slavery, that the declaration of independence was the founding document of our country, and that cavemen rode on dinosaurs.

      No, the point of educating people is not so that, one day, they will go "aha!" and use their knowledge of geometric series or the battle of Gettysburg to found a company and make a million dollars, but to ensure that the constituents of the very influential body politic (in a democratic society) are capable of interacting effectively with their world. While you will never be asked to solve for X in your daily life, you will likely be asked to apply similar concepts, and you will definitely be asked to use your knowledge of, for example, plotting of functions, to understand things like graphs which are presented to the public by the media in ways which are either unintuitive or outright deceptive.

      The same arguments in the TFA could easily have been applied, in an earlier time, to literacy: there are historically plenty of people who lived long, happy lives who never knew how to read. However, it is essential in today's society, because our commitment to a literate society has gone hand in hand with out commitment to an advanced society capable of effective and efficient engagement and contribution to the experience and knowledge of our collective self. Mathematical literacy, of an increasingly advanced degree, is a similar requisite in the modern society, where the sheer amount of information available grows larger and more formidable every day. In such a time, it is the duty of us as a community to ensure all persons are capable of effectively interacting with and utilizing this information. To do less, simply because the individuals prove recalcitrant, or might find ways to ignore our information rich society, is to condemn ourselves to mean regions of social existence, consciousness, and ultimately human experience.

    7. Re:yes by joocemann · · Score: 5, Interesting

      If you understood things that might have exponential basis, or you made projections of some value based on the increase/decrease evidence in the past --- even if you didn't do anything on paper but just did fuzzy concepts in your head to get the gist of it --- then you did use it. Chances are that you did use, at least, algebra, and didn't notice.

      Here's an example of me using C Programming education in my current work, stem cell biology: In C programming you can take something complex, like a database, or some complex string of things, and you can OBJECTIFY it. And in this you simplify future treatment of that complex thing by calling it some name -- it is objectified. From that education the powerful method of objectification is made clear in my head. So now in cell biology, to speed up my thinking and make complex concepts simple, I objectify them. So, for example, I take a well designed and intricate process that takes several pages to describe, and I call it something like "XA-2", or whatever I want. At that point my conscious understanding of XA-2 has become baked into the brain, and to consider that process in even bigger concepts, I can logically apply XA-2 in my follow up experiments without trying to conceive each step every moment of the way.

      There are lots of hidden benefits to education. And there are lots of ways to learn.

      I find all the time I spent dancing in packed clubs to be extremely helpful in maneuvering through big crowds or dense traffic. I became experienced in carrying expensive liquids through heavily packed crowds that have unpredictable pulses in various directions --- in time I learned where to look and how to defocus my eyes to see the periphery and predict the movement of people to see when openings happen and closings (squished) may happen.... you get good at it and you push right through crowds that most people go really slow through.

      I find lots of learning from video gaming -- predictions and efficiencies, etc. This is why experienced gamers do well on new games whereas new gamers usually take longer to pick up on new games -- experience in analytical perspective in gaming contexts.

      If you can recognize how you've improved in some skillset -- even skillsets that are seemingly recreational -- you can translate/articulate those skills to other facets of life.

    8. Re:yes by microbox · · Score: 5, Insightful

      Anyone not understanding what an exponential

      Anyone not understanding what an exponential is should NOT be making policy decisions at all. Period.

      A very sad fact.

      --

      Like all pain, suffering is a signal that something isn't right
    9. Re:yes by fean · · Score: 5, Informative

      If I have $50, and I have to buy lunch every work day for two weeks, how much can I spend on average?
      X = $50 / (2 weeks * 5 days)
      X = $50 / 10
      X = $5

      This is a hard question for people who don't know algebra. Those who DO know algebra do most of the math in their head because it's so ingrained.

      The fact that you don't realize you're using algebra every day should be taken as how vital it is to teach it.

    10. Re:yes by countach74 · · Score: 5, Insightful

      Logic/critical thinking very much tie in to Algebra and vice versa. It seems strange to me to present one without the other. Yet it seems logic/critical thinking classes are very rare in contrast to Algebra.

    11. Re:yes by countach74 · · Score: 5, Insightful

      Indeed. Unfortunately, power hungry people who are actually not good at real world things jump into politics instead. In other words, we end up with a bunch of retarded ass holes running our nation. What a bunch of fuckers.

    12. Re:yes by Anonymous Coward · · Score: 5, Insightful

      Screw that, it doesn't matter what algebra is good for.
      My 5th grade math teacher said this, math helps change the way you think. It doesn't seem like much, but you'll need that way of thinking in the future. And she was right.
      Advanced math, physics, chemistry, programming, anything that required even a bit of abstract thinking was easier because of those "useless" algebra classes.

      Are they perhaps trying to kill institutionalized education? If so, they're definitely on the right path.

    13. Re:yes by nospam007 · · Score: 5, Insightful

      " Most people are going to have credit cards, 401ks, mortgages, car loans, etc. Knowing how these things work is the first step to financial success."

      Not to burst your bubble but this guy teaches future politicians and as you know they have no idea that they have to pay back any loans nor such things as 'interest' and other things.
      If you have to promise the moon to people to keep your job, knowing that you can't possibly pay for it is just a hindrance.

    14. Re:yes by zippthorne · · Score: 5, Insightful

      Are they perhaps trying to kill institutionalized education? If so, they're definitely on the right path.

      I don't think they want to kill the institutionalized part...

      --
      Can you be Even More Awesome?!
    15. Re:yes by Immerman · · Score: 5, Interesting

      I would actually say statistics is probably the *most* broadly-applicable branch of mathematics. *Everyone* - scientist, politician, gambler, civic-minded citizen, and commercial watching bumpkin would benefit from a firm grasp of at least the basics of statistics, and of those scientists are typically the only ones who have any clue at all, and even their grasp on it is often shaky, especially in the softer science. And you don't actually need much more than basic algebra to learn it either.

      No other field I can think of is as broadly used with as little understanding (how many times have you seen a % today?), which makes it ripe for exploitation. There's a reason for the phrase "there's lies, damned lies, and statistics" - statistics is (mostly) actually pretty simple from a "solve this equation" perspective, the difficulty is that there's a whole lot of counter-intuitive aspects to probability so it can be tricky to answer the question you think you're answering - which makes it ridiculously simple for someone to make a rock-solid sounding statistical argument that's completely spurious.

      --
      --- Most topics have many sides worth arguing, allow me to take one opposite you.
  2. Mathematics is a tool by GodGell · · Score: 5, Insightful

    NO.

    It's the unintuitive ways in which it's taught (which in turn causes the societal alienation of the subject) that is the problem, not the fact that it's a requirement.

    Mathematics is nothing less than the upmost tool of rationality. Lose it, and all progress decays.

    --
    [SHOW SOME LENIENCY TOWARDS ... I mean, FUCK BETA] Eat. Survive. Reproduce. GOTO 10
    1. Re:Mathematics is a tool by GodGell · · Score: 5, Interesting

      You are right, I made a mistake, my bad. I never took an English course. I never needed to, an online dictionary and some persistence taught me enough English to communicate on the level required. I've never been to an English-speaking country so far.

      How many languages do you speak fluently?

      --
      [SHOW SOME LENIENCY TOWARDS ... I mean, FUCK BETA] Eat. Survive. Reproduce. GOTO 10
  3. That's A Convenient Theory by Revotron · · Score: 5, Insightful

    I'm pretty sure if I wrote that paper, the resulting Slashdot headline would be "Engineer Asks: Is Political Science Necessary?"

  4. This guy is an idiot by zero.kalvin · · Score: 5, Insightful

    The point is not learning how to do complex calculation, the point is by learning these mathematical subjects you develop certain skills in logic, problem solving , and in critical thinking. It goes beyond mathematics and to how to be a rational thinker ( and yes I am exaggerating a bit ).

  5. The real question is: by EnglishTim · · Score: 5, Insightful

    ... is High School necessary?

  6. Re:Unnecessary roughness on statistics by Anonymous Coward · · Score: 5, Funny

    An engineer asks - how is that?

    A physicist asks - why is that?

    A polisci major asks - would you like fries with that?

  7. Re:A more fitting question... by __aajfby9338 · · Score: 5, Funny

    Is political science necessary?

    YES! If political science majors studied things like engineering or computer science instead, then who would sell me coffee?

  8. Yes, but when does it do so efficiently? by wanax · · Score: 5, Interesting

    Of course math changes the way you think, and often to the good. The real question, left unaddressed in the original article, is when and how do we start teaching math?

    There is a body of experimental evidence, mostly from upstate NY in the 20s and 30s (see [PDF] here) that the main problem in early education is that math, with its many abstractions of notation and convention, is brought in far too early. Instead, rigorous verbal and written exercises could cover the necessary conceptual bases for math to be added onto later, while not losing huge amounts of time creating arti-factual stories to get 7-year-olds to learn division, which may then interfere with their later understanding of the actual basis.

    Another method that's been suggested, also with a body of experimental evidence (see for an overview), takes the opposite tack, and says okay, we can teach everything the first time in a way consistent with later fundamentals, but to do so, we have to recognize that many apparently simple steps are actually 5-7 'micro-steps' and we need to break out and teach these explicitly.

    Given that much more rigorous levels of math education don't seem to cause mass dropouts or lack of bachelors attainment in many other countries, I think the emphasis should be on fixing the way we teach math, rather than further devaluing (and yes, the ability to jump through hoops is important for successful employment.. and also, this guy thinks he can do rigorous statistical inference without a rock solid understanding of modern algebra?) high school and college degrees.

    1. Re:Yes, but when does it do so efficiently? by ShakaUVM · · Score: 5, Insightful

      >the main problem in early education is that math, with its many abstractions of notation and convention, is brought in far too early

      This is a myth from our child development overlords.

      My wife, who grew up in Hong Kong, was learning algebra in elementary school. Kids are capable of learning algebra much younger than it's taught here in America. When she immigrated, she literally didn't learn any new math for four years. It's not a mistake we're ranked so poorly in the world math standings.

  9. Dumbing down by Taco+Cowboy · · Score: 5, Insightful

    The way I see it the ultimate aim of the author of TFA is to dumb down the future generations

    The dumber future generations get the easier they can be manipulated to do the dirty things that the elites themselves do not want to do
     

    --
    Muchas Gracias, Señor Edward Snowden !
  10. Re:Political Science Professor by PyroMosh · · Score: 5, Insightful

    No, political science isn't about controlling people any more than zoology is about controlling animal populations.

    It's a study. It's no more unified than politics is, because that's what political science is: the study of politics, government, and state.

    Also, I'm sure some fringe school somewhere does what you say, but the UK has a standardized uniform grading system that is widely used:

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

    I think this guy's idea is dumb too. But your assertions don't seem grounded in reality.

  11. Re:Calculus and Shakespeare by swillden · · Score: 5, Interesting

    I disagree.

    I spent a fair amount of time once with a man who was educated in the fashion you seem to think is appropriate. In his case, he'd started out working on the factory floor at an IBM manufacturing facility in Texas (30 years ago when they still made stuff in the US), and had qualified for and taken a technical math and computer science education culminating in a master's degree. IBM's "school" was accredited and his degree was a real one, but it included only technical subjects; no liberal ed at all. Prior to his IBM education he had barely graduated from high school -- and I'm not sure how he did, frankly.

    He was a highly intelligent man, very articulate and perceptive. However, as soon as the discussion left technology his utter lack of education became instantly apparent. He was even ignorant of basic principles of physics -- he knew a fair amount about electronics, but in mechanics he understood less than most high school dropouts I've known. His ability to understand politics was nonexistent because he didn't know any history, or even understand basic civics. And don't even attempt to talk about literature, philosophy, etc.

    Now, obviously, a big part of his ignorance was due to his own utter lack of interest in anything outside of computer science. You can't obtain a MSCS without being able to read, and anyone who can read can educate themselves. But the point was that the difference between him and the typical college graduate -- even though he was almost certainly smarter than said typical graduate -- was stark and obvious, and it wasn't in his favor. His lack of general knowledge wasn't just a problem when socializing, either, it often caused him to make dumb decisions that affected the business, and you simply could not put him in front of customers, because unless the discussion was laser-focused, he'd eventually say something that made him look like an idiot.

    After my experience working with him, I decided I wholeheartedly agree with the liberal education philosophy. The worst part about it was that his deep, narrow knowledge and utter lack of knowledge outside of a single field made him believe, quite firmly, that there really wasn't much to know outside of his field. It's often said that that the primary purpose of a BA/BS is to teach the student the breadth of his own ignorance. Well, this guy never learned that.

    We don't all need deep knowledge in every area, but an introductory course in each of the major areas of human knowledge really does add significant value. It makes us more rounded, teaches us some much-needed humility and, well, educates us. That education is what differentiates a university degree from a vocational certificate, and the former is more valuable than the latter.

    --
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  12. Re:Calculus and Shakespeare by JakartaDean · · Score: 5, Insightful

    If you want to study engineering, that is where you should be able to concentrate.

    I did that, 25 years ago. Recently I returned to my alma mater (UWO in Canada, if anyone cares) and 6 of us were invited by the fairly new Dean to discuss what they should be doing to improve the curriculum. While lab methods had changed a lot in 25 years, most of the core curriculum hadn't -- which is probably the right thing. Anyway, when he asked what we didn't get at university, but should have, we came up with two: project management and English.

    Project management is an obvious skill for an engineer, and should have always been there. When he was surprised that we mentioned English (specifically a writing course) we all said that a lot of our work since graduation has included writing reports, and learning how to write well early on would have been a great advantage. I have forgotten an awful lot of math in 25 years, and learned a lot of English writing.

    By all means learn the math and physics. I think you cannot possibly do anything worthwhile in economics or finance without calculus, and even political scientists must need to know about trends and statistics, both of which are built at least partially on calculus. But to do only, e.g., calculus, leaves one poorly equipped for life.

    --
    The subject who is truly loyal to the Chief Magistrate will neither advise nor submit to arbitrary measures (Junius)