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News from the world of maths

Wednesday, January 31, 2007

The gender issue

Would you like to become a mathematician, or rather stick to being a woman? There are of course many people who are both, and very successful ones at that, but the fact remains that women are still under-represented in maths-based careers and degree courses. They are also twice as likely to drop out of maths-based careers as men. Now a new study suggests that this may be due to the strain a maths environment puts on women's self-perception; a strain that works through unconscious gender stereotypes.

In an article published in the January issue of Psychological Science, psychologists Amy Kiefer of the University of California, San Francisco, and Denise Sekaquaptewa of the University of Michigan report on a study they carried out on undergraduates that were enrolled in an introductory calculus class. They rated women's implicit gender stereotypes, for example by checking if they automatically associated "male" with maths ability, and their self-perception, for example by asking if they identified themselves as feminine. They then followed their performance independently of the maths ability they had displayed previously.

The researchers found that the worst performers were those that had strong implicit gender stereotypes and were likely to identify themselves as feminine. This may seem unsurprising, but the important point is that the women's stereotypes were unconscious: the majority of women taking part in the study had explicitly stated that they do not believe that men are better at maths than women.

Another interesting point is the extent to which under-performance seems to be linked to gender identification. The authors suggest that this may give some insight into the high drop-out rate of women in maths-based careers. Women may feel that to be in tune with their work environment, they need to distance themselves from feminine characteristics. And the more they value these characteristics, the bigger the sacrifice that this involves, so that even women who are very good at what they do may come to leave their field.

It's sad to see how deep-seated women's stereotypes about their own abilities are, but there is hope. In recent decades women's participation in maths and science has increased drastically. There are many highly successful women mathematicians that can serve as role models. And once a critical mass has been reached, even the most ingrained stereotype can be overturned by experience.

posted by Plus @ 3:08 PM 0 comments

Tuesday, January 23, 2007

Mathematical Moments - Harald Bohr

Died 56 years ago: Harald August Bohr

Born: 22nd of April 1887 in Copenhagen, Denmark
Died: 22nd of Jan 1951 in Copenhagen, Denmark

Harald Bohr must be the only mathematician who came to fame through football: as a member of the Danish national team he won a silver medal at the 1908 Olympics in London. Although it's hard to imagine these days, back then you could still pursue a sports career in your spare time, and by the time Bohr took part in the Olympics, he had already spent four years doing a maths degree at the University of Copenhagen. His sporting success gained him celebrity status in Denmark and when he defended his doctoral thesis after the games, the audience reportedly contained more football fans than mathematicians.

Eventually, though, his interest in maths gained the upper hand and he became a professor of mathematics at the Polytechnic Institute in Copenhagen in 1915, moving on to the University of Copenhagen in 1930. He was interested mainly in the application of analysis to number theory. Together with Edmund Landau he proved some major results about the Riemann zeta function, which lies at the heart of the famous Riemann hypothesis. Although their work contributed two important steps towards its solution, no-one has yet been able to fill in the remaining details — the problem is still unsolved and bugs mathematicians to this day.

But if Bohr's name rings a bell in your brain, it's probably not because of his football stardom, or because of his own excellent contribution to maths, but because of his famous brother Niels. Niels Bohr won the 1922 Nobel Prize for physics for his insights into the structure of atoms and for his work on radiation, and was one of the founding fathers of quantum mechanics. Although Niels takes most of the posthumous limelight, Harald's contribution to maths was nonetheless remarkable, gaining him international recognition as one of the most prominent Danish mathematicians of the twentieth century.

But Harald Bohr's life wasn't all maths. His generosity towards people in need, especially those fleeing the Nazi regime in Germany, gained him just as much international acclaim as his work.

You can read more about the brothers Bohr on the MacTutor History of Mathematics Archive:

Find out more about the Riemann hypothesis in the following Plus articles:

posted by Plus @ 10:55 AM 0 comments