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Math Anxiety Affects Skills As Basic As Counting

thirty-seven writes "According to four Canadian psychologists, a study they have conducted shows that math anxiety, 'the feeling of fear and dread of performing mathematical calculations,' can negatively affect mathematical tasks much simpler and more basic than previously thought. In the study, participants were asked to count black squares on a white screen. The number of squares shown ranged from one to nine and participants were given as much time as they wanted before answering. When the number of squares was in the subitizing range (one to four), both math-anxious and non-math-anxious participants performed equally well, but when the number of squares was in the counting range (five to nine), the math-anxious group took longer and were less accurate. The University of Waterloo's news release about the study includes this interesting note: 'Previous studies have shown that a weakness in basic math abilities has a greater negative effect on employment opportunities than reading difficulties [do].'"

35 of 210 comments (clear)

  1. Isn't it obvious ? by ls671 · · Score: 3, Interesting

    Isn't it obvious that the fear of something will have an impact even on the simplest things where something relative to that fear is involved ?

    --
    Everything I write is lies, read between the lines.
    1. Re:Isn't it obvious ? by caffeinemessiah · · Score: 4, Informative

      Isn't it obvious that the fear of something will have an impact even on the simplest things where something relative to that fear is involved ?

      Yes, but I think what this study was trying to test was how basic the task has to be for the fear response to have a measurable effect. Turns out, pretty damn basic.

      --
      An old-timer with old-timey ideas.
    2. Re:Isn't it obvious ? by ndogg · · Score: 4, Insightful

      Sure, and a part of science is all about confirming those things that seem "obvious."

      --
      // file: mice.h
      #include "frickin_lasers.h"
    3. Re:Isn't it obvious ? by wizardforce · · Score: 4, Insightful

      It was also "obvious" that the Sun orbited the Earth until a significant amount of data supporting the heliocentric theory was found. Science requires data not just peoples' "intuition" which is very often wrong.

      --
      Sigs are too short to say anything truly profound so read the above post instead.
    4. Re:Isn't it obvious ? by DeadboltX · · Score: 4, Funny

      Maybe the group that has math anxiety has it because they suck at math.

    5. Re:Isn't it obvious ? by cosm · · Score: 4, Insightful

      To add to that, if it were not for science's ability to question seemingly simple things, for all we know every time one steps on the gas pedal an invisible ectoplasm materializes and pushes our chest towards the seat of the car.

      We do in fact feel a force, but because of experimentation and further exploration, we understand the fictitious force due to the nonuniform motion of two reference frames (or the acceleration of the non-inertial frame), in this case rectilinear acceleration. Intuition told us we were being pushed into the seat, but in reality, nothing is pressed against our chest.

      --
      'We are trying to prove ourselves wrong as quickly as possible, because only in that way can we find progress.' RPF
    6. Re:Isn't it obvious ? by UncleMidriff · · Score: 5, Interesting

      I have a bachelor's degree in math, and I graduated with a 4.0 GPA. Though I realize that's not all that impressive among the Slashdot crowd, I have done math that would make most normal men weep, and I excelled at it. However, if you were to come up to me and ask me what 7*13 is, I would turn white as a sheet, stammer a bit, and, after several minutes, give you an answer that is likely incorrect. There's just something about being put on the spot like that that shifts my brain into panic mode.

    7. Re:Isn't it obvious ? by shentino · · Score: 2, Insightful

      Math anxiety also inhibits the training one must secure to improve and thus conquer their anxiety.

      Classical conditioning means numbers equal something to be scared of.

      Operant conditioning means that avoidance of numbers rewards by removing fear.

    8. Re:Isn't it obvious ? by robot256 · · Score: 2, Informative

      Exactly. When science (actually Galileo) tried to confirm the "obvious" notion that heavy objects fall faster, it turned out that what was everybody thought was "obvious" was wrong. Hence the need to confirm things that seem obvious at first glance with scientific observation and analysis.

    9. Re:Isn't it obvious ? by orcwog · · Score: 2, Interesting

      Isn't it obvious that the fear of something will have an impact even on the simplest things where something relative to that fear is involved ?

      I don't think it's math anxiety that caused these results. I think it's anxiety in general.

      I took part in a psych study about a decade ago (conveniently at the U of Waterloo) for a similar thing. I was asked to count arcs -- line-drawn half-circles, pointed in an upwards or downwards direction placed randomly on a screen. There would be somewhere between 5 to 15 of these on the screen, and instructions were to count all the "upward arcs" or "downward arcs" as fast as possible. After a few trials, I thought myself so good at this counting that after just a flash of the screen I would hit spacebar indicating I had counted them, then count them in my head and answer. I'm pretty sure I got almost all of them right. Half way through the experiment, I got really bad at this for some reason and even had to count one arc at a time or take a wild guess if I had hit spacebar too early.

      After the experiment I was told that many of the arcs were positioned to make faces. The first half of the experiment had smiling faces -- 2 arcs down for happy eyebrows and an upward arc for a smiling mouth. The second half had angry/sad faces, 2 ups for eyebrows and a down for the mouth.

      Turns out, the angry faces significantly affected my ability to count.

    10. Re:Isn't it obvious ? by fuzzyfuzzyfungus · · Score: 2, Interesting

      Luckily there is a fairly easy way to test that...

      With chemical anxiolytics, you can substantially damp somebody's anxiety responses to things that usually scare them. With the right chemical anxiolytics, you can even do so without rendering them useless for other things.

      Repeat the experiment; but have all participants(normal and anxiety groups) take a pill ~30 minutes before the questioning. Half of each group will get a placebo, half will get a milligram or two of Lorazepam. The effect of Lorazepam on the normal group will let us know if its effect on general mental acuticity at that dose is an issue. The effect on the anxiety group will tell us what we want to know. If being stupid makes you anxious, the drugged half of the anxiety group will be just as stupid (and a little happier) than the undrugged half. If anxiety makes you stupid, the drugged half of the anxiety group should perform substantially better than the undrugged half(though, if the anxiety is relatively minor, the placebo effect might also be quite helpful, so you might actually have to have three groups: nothing, placebo, Lorazepam for each of the test populations).

  2. nth post! by Colz+Grigor · · Score: 4, Funny

    I guess this explains why so many "first post"s actually aren't...

  3. Oh God.... by zach_the_lizard · · Score: 4, Funny

    Oh my god! That calc test on surface integrals is scaring me! How many days do I have until I have to take it? Let's see, one, two, four? Shit, shit! Let's start over. One, two, three, where was I? Oh god, how did I make it this far? Was this all some sort of ruse to make me feel good about myself? Has my whole life so far been a lie? How can I major in CS if I can't even count! If only I had learned that I was terribly afraid of math all those years ago....I think there is only one way out of here: majoring in education or running for office. Or is that two? Dammit, there we go again!

    --
    SSC
    1. Re:Oh God.... by BartholomewBernsteyn · · Score: 2, Funny

      How can I major in CS if I can't even count!

      When exactly did you spy on me?

    2. Re:Oh God.... by wizardforce · · Score: 2, Insightful

      Just an anecdote but oddly enough most of the people I know that have gone on to high level math (>>Calc 3) tend not to be terribly good at doing basic math in their heads. It could be just my imagination or it could be that they rely much more on calculators/computers to do most of the actual calculations for them but it would be interesting to see a study on it. Perhaps study how anxiety affects basic math skills among those who are very advanced in mathematics.

      --
      Sigs are too short to say anything truly profound so read the above post instead.
    3. Re:Oh God.... by AuMatar · · Score: 2, Interesting

      I think it has a lot to do with the frequency of calculations. Most high order math doesn't require dealing with large numbers, but variables. So you don't get a lot of fiddling with actual calculations in your day to day life, other than maybe adding up bills (which you tend to estimate on anyway- you round things up or down for easy adding). I used to be able to take a square root to 4 significant figures in my head in just a few seconds. I still remember how, but trying to do so would take me a minute or so- I just don't practice multiplication and division of large numbers every day anymore. No real need to. But if I practiced again I'd get my speed back. I think the same goes for most people who learn and study higher mathematics- any loss in calculation speed is due to not needing to use it often.

      --
      I still have more fans than freaks. WTF is wrong with you people?
  4. Real math anxiety is... by __aaclcg7560 · · Score: 4, Funny

    Deciding whether the conditional argument of a for loop should be i < size or i < (size - 1) when programming.

    1. Re:Real math anxiety is... by phantomfive · · Score: 3, Informative

      Wow, how to know Java programmers: they are the ones who can't get their loop terminations correct without something automatic put in place to catch it.

      --
      Qxe4
  5. How math is taught by Midnight+Thunder · · Score: 5, Insightful

    My impression, through my own experience and people I have spoken to, is that maths is hard to learn because it is generally abstract. For example I get the general feeling that more people pass calculus when they are given an application that help provide a visual context to the skill, such as physics. This is probably the same reason why computers sometimes detract people from using them. The only difference is that we spend a huge amount of time and effort trying to make computers easy, though I am not sure the same can be said about mathematics.

    Having sat through a number of maths classes, and lectures, I find that the people teaching the subject, often fail to appreciate that what they find easy is not necessarily the case for others. This means they don't show the necessary steps or fail to find techniques to facilitate the understanding. Sometimes its almost as if they want to make maths hard to learn. Of course people end up get anxious since they end up feeling stupid.

    Although we talk about car analogies here, in order to make things easy to understand to the, I find the same can benefit maths. By trying to understand what the skill set of your audience is and adapting the teaching helps. For example the 'sum' sign looks hard until (if amongst computer people) you explain its just a 'for each' with addition and the 'pi' sign is a 'for each' with multiplication. In certain cases it is equivalent to the linguistic differences between English and Chinese, in that they both can talk about the same thing, but the way in which they do so is not the same.

    --
    Jumpstart the tartan drive.
  6. Re:The REAL story - Canadian Uni Students are Dumb by Terrasque · · Score: 2, Insightful

    If you can't count to 9, you shouldn't be in university.

    Implement that rule and you'll have to close liberal arts departments everywhere.

    You say that as if it was a bad thing..

    --
    It's The Golden Rule: "He who has the gold makes the rules."
  7. Re:Well... by Opportunist · · Score: 2, Insightful

    Certainly. If you actually have a phobia of something, the smallest notion can affect you. Actually, what surprises me is that counting to four does not affect them.

    --
    We used to have a Bill of Rights. Now, with the rights gone, all we have left is the bill.
  8. Re:fear of math by Opportunist · · Score: 2, Insightful

    I doubt it's that simple. It's like saying that lacking piloting skills affects your fear of flying.

    --
    We used to have a Bill of Rights. Now, with the rights gone, all we have left is the bill.
  9. We're learning more and more about math anxiety by JoshuaZ · · Score: 3, Informative

    Math anxiety is turning out to be a much more complicated phenomena than one might thing. For example, there also was a very interesting study by Sian Beilock at the University of Chichago. Beilock showed that young girls who were exposed to female elementary school teachers were much more likely to develop math anxiety themselves than those not exposed to such teachers. See http://hpl.uchicago.edu/Publications/PNAS_2010.pdf. The exact consequences of Beilock's study are not clear. But combined with the study above, it seems to suggest that we need to do a better job with elementary school teachers. We need to either get rid of the school teachers with math anxiety or get rid of their math anxiety problems. Possibly some combination of both approaches may be in order: Improve the mathematical confidence of elementary school teachers whom we can effect and get rid of those we can't.

    1. Re:We're learning more and more about math anxiety by JoshuaZ · · Score: 3, Informative

      Er, missing an import phrase there. Female elementary school teachers with math anxiety is the relevant category of teachers.

  10. Causation by dcollins · · Score: 2, Interesting

    This is the first time on Slashdot that I'll that say there's a legitimate call for "correlation is not causation". The claim in the article is that "anxiety about mathematics can adversely affect tasks as simple as basic counting". But the reported data is simply that "math anxious individuals, relative to their non-math anxious peers, demonstrated a deficit in the counting range (five to nine)..."

    I don't see any support for the hypothesis that math anxiety "affects" or "impacts" (per the article) basic math tasks. I think an equally-well supported hypothesis is that people who suck at counting to 5 wind up developing math anxiety.

    To test their hypothesis, they need to take equally-skilled people and somehow make an experimental group anxious about the upcoming task (or something). I don't see that happening here. Frankly, I'm highly skeptical of this whole "math anxiety" postulate. I think we've got to accept the fact that for some people, even basic arithmetic is monumentally difficult, and not blame it on their "feelings" towards the task.

    --
    We know where leadership by an anti-intellectual "strongman" who scapegoats minorities and likes boisterous rallies goes
    1. Re:Causation by N3Roaster · · Score: 2, Insightful

      Anecdotally, I've seen people who did not start out with math anxiety but developed that later and observed a decline in counting skills. For example, my sister jokes that she forgot how to count after taking calculus. I'd say there's a pretty good chance that this really is causal, but of course further studies would be required to confirm that.

      --
      Remember RFC 873!
  11. Math anxiety? This is real? by D+J+Horn · · Score: 4, Interesting

    I've always had trouble with math, not so much understanding it but actually doing it. It got worse over the years, not just with harder math, but any math. Eventually I could tell I was actually having anxiety attacks when asked simple math questions. Now days these anxiety attacks are actually bad enough to trigger my flight-or-fight response. It's overwhelming and hard to describe, but if I don't focus entirely on calming down, it feels like I will 'lose control'. At this point the problem makes itself worse - I can be asked something I KNOW how to solve but I end up having to concentrate so hard on self control that I can't even take time to think about the problem I was asked. Not being able to think about the problem means I can't answer it, which makes the anxiety worse, which makes it even more impossible to stop and think about the math itself.

    It's been pretty crippling, both socially and in work. I do everything I can to avoid situations that will be problematic. I simply stone wall anyone who tosses math at me, shutting down with simple 'no's and 'I can't's, leading them to assume I'm unintelligent and/or uneducated - an assumption I let them have because it's easier than trying to explain what's really going on.

    I've never encountered anyone who even remotely understood, so I thought it was just me having an odd, unfortunate personality quirk. I mean nerds and anxiety go hand in hand right?

    Maybe I'm not alone...

  12. Re:Well... by Mikkeles · · Score: 4, Informative

    That's because one doesn't have to count to four; one just sees the items as 'four of them'.

    --
    Great minds think alike; fools seldom differ.
  13. math stress by RenQuanta · · Score: 2, Funny

    Yeah, I just can't count the number of times I was too stressed out to do math...

  14. Re:Meh by GammaKitsune · · Score: 4, Insightful

    Nothing helps you get over an anxiety problem like people telling you you're just lazy, let me tell you. You're just not working hard enough, stupid! Only an hour or two (or three) on your math homework? And you still haven't made any progress? You'll sit there all night until you miraculously figure it all out, dummy!

    And every time you look down at that sheet you break into a cold sweat. You get a head full of fog, and every stab at every problem is like groping around blindly. You desperately flip through your notes or pour over the text book, both of which are like trying to read Cyrillic. And all the while, everyone else in the class blazes through the material, leaving you far behind. It's because you're not trying hard enough. Work harder, moron.

    --
    Gamertag: WyleType
  15. My Story by carp3_noct3m · · Score: 5, Interesting

    I happen to be one of these people, so I have some knowledge about the subject. Although I cannot speak for everyone, in my cause there was a very strong correlation between my fear of math (or my lack of math ability) and my performance. At a younger age (elementary school) I simply found math to be non-practical, and therefore ignored it(which is to say I did the bare minimum to get by in class). Once I did this however, by the time I got to highschool, I had severely fallen behind in math all around. My first and only class I failed was algebra, which I retook and finally passed with a C. To me, it was such an abstract thing that it seemed pointless in its difficulty. I should qualify that in all other subjects I excelled, including things like networking (boolean functions and binary, that I saw had practical benifit, I could do in my head no problem) Now, after serving in the military, and going back to college, it has been over 7 years since I had a college level math course, and still struggle, but I have found something that helps me tremendously. Finding practical applications that require whatever level of math I'm studying. My main tool for this at the moment, however bizarre this may sound, is building things in Garry's Mod, via the Wire Mod tool. It requires some very complicated mathmatical procedures to do something such as build a 10 cyclinder engine wiring to fire off in the correct sequence at high speed. In short, I believe it is a matter of learning types, I am a visual/kinetic learner, and need some substantial problem to wrap my head around and things have slowly (not without hard work) falling into place for me, and I'm sure I'm not the only one in a similar situation.

    --
    "It's ok, I'm completely secure as long as my iron is off"
  16. Re:Well... by Anonymous Coward · · Score: 2, Funny

    There are 5 lights!

  17. Cognitive styles, poor teaching, and poor testing. by kklein · · Score: 2, Interesting

    I use and even sometimes teach factor analysis, item response theory (Rasch and multiparameter), structural equation modeling (okay, so most of those are flavors of the same thing), as well as a whole host of other statistical analyses. But as I prepare to go back to grad school for a PhD, and therefore need the GRE again, I'm struck--yet again--how absolute shit I am at arithmetic. Questions that require me to just manipulate variables around are no problem, but if they throw an actual value in there, and I have to work on that with scratch paper, I have to be REEEEALLY slow and careful, because I make more stupid arithmetic errors than anyone I know.

    I also joke (but not joking, really) that I can't count. I'll count something 3 times and come up with a different number. I'm terrible. Terrible.

    Writing code in R is easier for me than the multiplication table.

    However, as an applied linguist, I also know quite a bit about another cognitive activity, and I think I've noticed a pattern. When I'm learning a new language, I tear through the grammar and make very few mistakes. But vocabulary? It's here and then it's gone. I study the same words over and over and over again, and they just don't stick. It's embarrassing.

    So what do these two things have in common? Working in code, moving variables around, and human language grammar are all procedural knowledge. They are "processing"-intensive. Numbers, the multiplication table, and vocabulary are all stored, static knowledge. They are memory-intensive. So if I'm bad at those things, perhaps we would expect that I would also have a terrible memory, right.

    Guess what? I live by lists and notes to myself. I have a memory like a sieve. I first started doing this with my research--taking detailed notes on everything I did--because I once realized when I was done prepping, carrying out, and interpreting a particularly labor-intensive analysis of some of my data, that I had just done it the previous weekend, and just... forgot. Luckily, my findings were the same both times. Sometimes I find things that I've written to myself and I have no recollection of writing them, but I know my handwriting, so I just do what they say. Seriously. I'm like the guy from Memento.

    So at the heart of this whole "math anxiety" thing, I think, we might just have different cognitive styles at work here. I'm a university researcher. I'm not dumb. I've turned out fine, by doing the things I'm bad at in a way that takes advantage of things I'm good at. You know, like everyone does all the time. What might make people anxious about math is that--and this is coming from a professional tester (what do you think "item response theory" is for?)--we assess it in a very one-dimensional way that does not "bias for best" (a saying in the testing community--design tests that allow the examinee to show off their best, because that's what we're really interested in).

    In the US, at least, we have a really flawed way of teaching and assessing math skills--one which, I think, leads a lot of people to quit because they think they can't do it, or that it's boring. Math is no more boring than stirring a bowl, and everyone loves cake. It's just a means to an end, but we never get the actual cake in the school system, so people get all worried about stirring and finally just end up buying cake from the store and saying "wow, you must be really good at stirring"--when the pros use machines for that crap.

    So, to sum up, I don't actually think we have an "anxiety" problem. People are anxious because they think they suck at math. They think they suck at math because they suck at math. But sucking at math might be due to totally benign cognitive style differences that are easily routed around. --If we can fix our pedagogical and assessment approaches to math education, I think you'll see this "anxiety" disappear, and find that most people can handle math-intensive tasks if they are presented them in a better, and more realistic, way.

  18. Re:Well... by thirty-seven · · Score: 2, Interesting

    Certainly. If you actually have a phobia of something, the smallest notion can affect you.

    I don't think that math anxiety is a "phobia" for most people; it is milder and much more widespread among the general population, I think. Wikipedia (not an authoritative source for definitions of psychology terms, I know) says a phobia is "an intense and persistent fear" and that mathematical anxiety is "anxiety about one's ability to do mathematics" and anxiety is an "unpleasant feeling that is typically associated with uneasiness, fear, or worry."

    So it does surprise me that the kind of self-defeating attitude that leads people to decide that they can't learn trig or shouldn't bother learning how to divide fractions also affects something as basic as counting to nine. It also surprises me that it seems that people, on some level, think of such basic counting as "math". I know, of course, that counting is math, but it surprises me that people would lump such basic counting in with the type of math that they should dread doing.

    --

    Atheism is a religion to the same extent that not collecting stamps is a hobby.

  19. Re:stereotypes by u38cg · · Score: 2, Interesting

    I've often wondered what would happen if you took a standard school intake class, gave them a short all-purpose test, told them they'd all passed with 95%+, and spent the rest of the year treating them like geniuses. To this day, I'm convinced that I am no smarter than my classmates were, but because I read books I was "the smart one" and hence I did end up doing better.

    --
    [FUCK BETA]