I recently wrote about Ada Lovelace Day and I mentioned in passing that girls tend to initially surpass boys at mathematics in school. Then something happens, and girls almost entirely disappear from maths and the sciences. I vaguely remembered reading about this divergence in maths abilities as children progress through school somewhere, and went looking for sources. It seemed like there was this clear cause and effect thing going on: girls disappear from the science disciplines at school for some reason, resulting in a gender imbalance in related careers. After writing that, it seemed like a gross simplification, and I thought I’d try and find out a bit more about what’s going on.
First, some more simplification:

Courtesy of xkcd.
I think the comic neatly illustrates what might be happening. In the interests of full disclosure, I shall state for the record that I am terrible at maths. I always have been. More accurately, I am awful at mental arithmetic. I struggle to hold on to numbers in my mind long enough to complete a calculation and I’m very easily distracted from the task. Does this make me a girl?
I also never managed to learn my multiplication tables. Rote learning has always been a dead end for me: I tend to learn by a variety of means that allow me to understand things and link them with other areas. This has always meant that, as long as I’ve applied myself during classes or lectures and invested thought into what I’m doing at the time, I’ve never had to worry about exams or revision. I can learn quickly and I can succeed at exams with relatively little effort, which is marvellous. This has never been helpful in the slightest with mathematics, however.
The problem with having a long history of sucking at mental arithmetic is that it undermines a lot of other things. I never trust my own results. Being put on the spot makes me stop functioning entirely. Back in school, maths lessons were long drawn-out exercises in terror as I prayed that I wouldn’t be asked a question. Indeed, a recent study has demonstrated the effect of such anxiety on the ability to do basic maths:
“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.” [1]
This is certainly something I can personally relate to. Confidence being the nebulous thing that it is, it’s not hard to imagine that a degree of cultural bias towards your entire gender playing a role in eroding that confidence. It might not be as bald as the cartoon above; it could be very subtle in terms of attitude from teachers, parents, other role models, and peers.
Once you have established that belief that you cannot do maths, it’s very hard to overcome it. We start off with basic arithmetic as the foundation for maths. You can’t dispute that it is a necessary and worthwhile thing to have. Competence in arithmetic, or the lack thereof, does not necessarily correlate with ability at the more advanced mathematics, however. You can be completely useless at multiplication in your head, but perfectly able to solve more complex problems. It’s more likely to be the lack of self-belief that hinders you: you’ve already decided that you’re poor at maths, therefore you are poor at maths. I couldn’t tell you what 7 x 8 is, but I took Maths GCSE a year early and I got a B, so I’m perhaps not as bad as I think I am. Equally, if I hadn’t been taught in small groups and if I hadn’t been generally academically confident due to success in other subjects, it could so easily have gone the other way. I’d be willing to bet it does go the other way for a lot of people.
I don’t believe that there is any functional or biological reason why girls would be outperformed by boys in mathematics or any other science discipline, despite some of the more persistent myths here. I can accept that simple biology coupled with gender roles might lead to other disparities between genders on average: career earnings, for example, will inevitably be affected by the decision to have children. What I don’t accept is that there might be a functional difference in mental capacity for the sort of thinking required for the sciences. I don’t think that women are irrational and incapable of logical thought, even if I laugh at the many jokes based on this very notion. Broadly, I think the differences between the sexes amount to little. We have more in common as gender groups than not. Let’s look at maths test scores and a nice bell curve to support that:

Some girls are very good at maths and so are some boys. Some boys are bad at maths and so are some girls. The overlap is much larger than the difference. [2]
Historically, there was a perception that boys were better at maths than girls. I suspect that a lot of people still believed that when I was at school in the Eighties, including many teachers. I probably believed it myself, not knowing any better. In the early Nineties, research indicated that girls actually performed better than boys at maths at an early age. Once things progressed to the more complex maths, girls’ performance declined significantly versus boys:
“…Measurable differences existed for complex problem-solving beginning in the high school years (d = +0.29 favoring males), which might forecast the under-representation of women in science, technology, engineering, and mathematics (STEM) careers.” [3]
Why would that have been? Could it be that confidence was undermined by the faulty assumptions of their teachers: that common wisdom that girls suck at maths? There are an array of myths to contend with that persist to the present day. “Girls are qualitative; boys are quantitative.” “You’re too pretty to study maths.” Both are untrue, but say it enough and some people will start to believe it.
There is a belief in a “maths gene” that is gender-related. Similarly, there is a dismissive attitude towards hormones and hormonal behaviour that is endemic in our society. This can lead to a marginalisation of girls in the scientific disciplines, and even in an enlightened educational environment, there are still the beliefs of parents and peer groups to contend with. What’s the net result if parents have lower expectations of their daughters when it comes to the science fields?
Role models are an important factor for girls. OK, so positive role models are important for all children and young adults, but a 2006 study found that role models are more of a factor for females than males, and significantly, females need role models of the same gender. This doesn’t mean that maths and science teachers need to be women to reach girls, but that awareness of successful women in the field can serve as inspiration. Which leads us back to the Ada Lovelace Day…
It seems like there is much to be done, but it also seems that much has already been achieved:
“Our analysis shows that, for grades 2 to 11, the general population no longer shows a gender difference in math skills, consistent with the gender similarities hypothesis. […] Gender differences in math performance, even among high scorers, are insufficient to explain lopsided gender patterns in participation in some STEM fields.“[3]
In conclusion, there are no functional differences between the genders when it comes to maths and science disciplines. In terms of demonstrated ability, females look to have caught up with their male counterparts over the last twenty years, but in terms of numbers, they remain a minority in the related fields. We need to continue dispelling the old myths that are dismissive of girls’ abilities and we need to overcome traditional gender barriers by providing inspirational examples of success.
1. Mathematics Anxiety Affects Counting But Not Subitizing During Visual Enumeration — Erin Maloney, Jonathan Fugelsang, Evan Risko, Daniel Ansari
2. Girls Are… Boys Are… : Myths, Stereotypes & Gender Differences — Patricia B. Campbell, Jennifer N. Storo
3. Gender Similarities Characterize Math Performance — Janet S. Hyde, Sara M. Lindberg, Marcia C. Linn, Amy B. Ellis, Caroline C. Williams