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].'"
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.
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.
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"