Category Archives: Why Learn Math

More Reasons to Learn Algebra

Here are some more people responding to Andrew Hacker’s article.

I’ve included a link and my favorite quote.

Rob Knop at Galactic Interactions.

Liberal arts education is to make people into good citizens, not into good workers. They are to acquaint you with the intellectual achievements of humankind. That is why we read the Iliad, why we watch a performance of Hamlet, why we learn about the history of ancient Greece, and, yes, why we study algebra.

PZ Myers at Pharyngula.

We live in a technological society. Not learning algebra in the public school system means those kids will not be prepared, will not be qualified, to do anything in science and engineering. I’m serious: if you don’t know algebra, you can’t do basic quantitative chemistry, and if you can’t do that, you can’t do biology. At all. Not the molecular/biochemical/bench side, not the ecological/evolutionary/field side. You can’t do physics, that’s for sure. Forget math and statistics. If you’re not capable of grasping statistics, forget psychology, too.

Dave Schuler at the Glittering Eye.

I’ll go farther and hazard a guess that poli sci, like the other social sciences, is much more empirical and quantitative now than it was then and that Dr. Hacker would be hard put to earn a doctorate in his own field nowadays.

Daniel Willingham.

Economists have shown that cognitive skills–especially math and science–are robust predictors of individual income, of a country’s economic growth, and of the distribution of income within a country (e.g. Hanushek & Kimko, 2000; Hanushek & Woessmann, 2008).

Anna Nagurney at RENeW.

We need more problem solvers and they need algebra.

The Accidental Mathematician.

A patient who understands graphs and inequalities will have a much better control of their health than someone who has trouble with even basic arithmetic. This is not a case of mathematics being a prerequisite for a job, the usual argument for numeracy. This is mathematics making a difference in your own health.

My favorite response is from Alexandra Petri at The Washington Post.

When my friends call me late at night complaining about how hard it is to eliminate exes from the equation, we never turn out to be talking about the same thing.

Jen Chung at gothamist

On that note, here’s commenter Ben:  Is English literature necessary? I never ran into Moby Dick during my career.  Is Gym class necessary? I never had to do a pull up.  Is Physics necessary? When was I called upon to do vector analysis?  Is Biology necessary? I think only French Chefs have to dissect frogs in their careers.  It must be tough to teach. What’s the point. Walmart has all the stuff we’ll ever need. Supersize that happy meal. We’re just turning into a bunch of consumers anyway, lets just stop pretending that we need to know anything.

Evelyn Lamb at Scientific American.

Few pre-college math teachers majored or even minored in math, and until more teachers do, improvements will be hard to come by. Ironically, it seems that people who have mastered “useless” algebra and other higher math topics tend to get jobs that pay more than middle school math teachers earn. I have the utmost respect for people with math degrees who choose to teach in spite of the poor pay and discipline problems, but few people make that choice. Math education needs help, but Hacker’s suggestions throw out the baby with the bathwater.

RiShawn Biddle at Dropout Nation

The advent of the Internet and the emergence of quantifiable data is making math skills critical to many white-collar professions; marketers and public relations staffers, for example, have to understand the arcane aspects of statistics in order to analyze data on ad campaigns, while reporters and editorialists need stronger math skills as well.

Rollin Bishop at Geekosystem

To say that we are failing and need to do something about it is absolutely correct. To say we need to remove it from our path as a hindrance rather than overcoming it with improved teaching methods, enhanced mathematics programs, and funding in general is a mistake.

My own humble contribution.

If you don’t know a subject, how do you know if you couldn’t use it?

Update:

Here are some more. A recurring theme is that Algebra should be required but we should probably rethink how we teach it.

Dan Meyer at dy/dan:

The more interesting question is, “How should we define Algebra in 2012 and how should we teach it?” Those questions don’t even seem to be on Hacker’s radar.

Mike the Mad Biologist

When students say they have difficultly with algebra, that’s usually not the entire story. Typically, that means they have also trouble with arithmetic. There’s a reason why the ability to do long division is correlated with long-term mathematics performance: you have to master the basics.

Ilana Horn at teaching/math/culture

Hacker is correct that we are not teaching enough children meaningful mathematics in schools. The problem, however, is not Algebra. The problem is Algebra as Usual.

Angry Math

My girlfriend is a fine artist, with an MFA in sculpting from a school . . . in New York City. Earlier this year, she was the recipient of a month-long artist residency in Taiwan where she put together an outdoor installation in knitted recycled plastic as part of an exhibit on environmental themes. She has a fairly high proficiency at math . . . and this gets used routinely in her career. She has to estimate volumes of complicated shapes she’s planning to put together, so as to procure materials . . . She has to do calculations with money so as to set budgets . . . She has to estimate time for projects that might last many months. At some point she generated a calculation for people, time, and material to cover the Eiffel Tower in tiny crocheted plastic leaves (a long-term goal).

Image from Amanda Tipton

Should Algebra Be Required?

Should algebra be a required subject?

Some people have questioned whether our students should be required to learn algebra. Andrew Hacker at the New York Times points out how many students struggle and fail algebra. The commenters, fortunately, point out all of his flawed logic. (Someone should summarize all of the great comments explaining why algebra should be required.)

Richard Cohen at the Washington Post makes the idiotic argument: “You will never need to know algebra. I have never once used it and never once even rued that I could not use it.”

His article is addressed by PZ Meyers at Science Blogs.

My favorite part:

If I had never heard a poem or listened to a symphony or read a novel or visited Independence Hall, I could probably dumbly write that I don’t miss literature, music, or history…never heard of ‘em. Don’t need ‘em. Bugger all you eggheads pushing your useless ‘knowledge’ on me!

This reminds me of when I was student teaching. The supervisor of my student teaching supervisor, a supposedly educated man with a PhD, said: I never took Calculus and have never regretted it. There has never been a time when I wish I had learned calculus.

What an idiot! (Sorry for being rude but it’s true.) If you don’t know a subject, how do you know if you couldn’t use it?

Everyone is impacted by economics. As a discipline, economics is based in calculus. I remember being in a general-ed economics class and sitting through long convoluted verbal explanations of marginal something-or-other. I thought to myself, “It’s the derivative stupid!” They are simply describing the change in the something-or-other given a small change in the input. (Sorry I don’t remember the details.) If everyone in the room had learned calculus, we could have covered a 2 hour lecture in 30 minutes.

So when could you use calculus? Everywhere! If, and only if, you understand it. The same is true for algebra.

Update: I just read a post by Chad Orzel, also at scienceblogs, that calls bullshit on the acceptance of innumeracy by intellectuals.

Update II: I wrote this thinking all of the articles were recent. (They showed up today in my news reader and I know this is currently being discussed elsewhere.) It turns out they are up to 6 years old. So please forgive my use of present tense. All of the arguments are still valid. Note to self: Check the publication dates on articles sent by Zite…

Cartoon from ToonPool.

A Sip of Whine

Student:  When will I ever use this?
Hedman:  You mean other than the test?

Top 10 Reasons to Learn Math: A Hed-Manifesto

You fail my test, you get an application to McDonalds!

Image:  Found in dozens of places.  Boing Boing has the best comment.

Why learn math?

When are we ever going to use this? I’m sure other teachers hear this but it seems to be especially prevalent in math classes.

This question is frustrating for two reasons.  1) There is an implied “if you can’t answer then I don’t have to learn it.”   2) I could come up with an infinite number of answers and they, probably, would not be adequate.  Students invariably say yeah yeah, but I don’t planning on doing that.

But it is a fair question.  I’ve created this blog, in part, to hone my answers.  Here are my current top ten reasons.  (They are not in any particular order except, perhaps, #1 and 10.)

Learning math can help you….

10.  Prepare for a career.

In my humble opinion, this is the least important reason to learn math….

9.  Develop problem solving skills.

You can only develop problem solving skills by …wait for it… solving problems.  I don’t mean problems where the teacher shows you an example and you do 20 problems just like it.  I am referring to problems you’ve never seen before.  Math gives you practice in organizing what you know, rearranging information, testing hypotheses, etc.  These are the same skills you can use in everyday life.  Unfortunately, most teachers (including myself…  There’s that stupid test each year) take the problem solving element out of math class.

8.  Increase your capacity to think analytically

Without props, without manipulatives….  Just with your brain…

7.  Be able to learn science

6.  Argue better

5.  Be less gullible

Astrology is completely bogus.  This can be demonstrated.  If you don’t understand or believe the reasons (or can’t sit through an explanation), you’re missing some of the skills mentioned above and your math teachers should be fired, (except for the fact that learning is, ultimately, the students’ responsibility.)

4.  Distinguish us from animals 

What makes humans different?  Build tools?  Nope, certain apes do it, even ants. Develop language? Nope, dolphins, birds, and primates beat us to it.  Use money?  Nope.  One reason is our ability to think and communicate abstract ideas.  One language for doing so is mathematics.  (To be fair there are many others: art, music, literature, etc.)

3.  Better appreciate the history of our civilization

Wait, what?

The industrial revolution was made possible because of thermodynamics which require an understanding of differential equations which is the main sequel to Newton’s calculus.  The exploration of the world happened because the Egyptians knew the earth was round. etc.

2.  So you don’t look like an idiot

And to show off at parties…

1.  If you understand math….  And can read,  you can teach yourself anything…. 

So when I ask you, “why is math important.” if you say, “to count my money.” I will start banging my head against the wall.