Maths vs. creativity

One thing that has really interested me in this research is this popular belief that mathematics is somehow the opposite of ‘creativity.’

One of our participants who had not chosen to continue with maths beyond compulsory school, Wilbert, asserted that he had chosen English and photography and media studies because he is ‘more of a creative person’. Similarly Sky, one of the humanities undergraduates asserted the ‘different sides of the brain’ argument, claiming that people who study humanities are more in tune with their emotions than those who use the ‘mathematical technical’ side of their brain. For this ‘non mathematician’, humanities subjects are seen as ‘creative’ while maths is reduced to the technical. This is perhaps surprising coming from a sociology student, a discipline which for many years attempted to assert that it was scientific.

This maths/ art binary was also something that became apparent through analysing the participants’ responses to a series of pictures of artefacts that they were asked to rank according to their maths-ness.  Deliberately placed in the sequence are photos of a Romanescu cabbage (which consists of very intricate spirals) and of the Alhambra mosque (with its very elaborate Arabic art adornment).  Some asserted that of course these have nothing to do with maths (the cabbage is nature and thus not maths, and the decoration of the mosque is art and therefore the opposite of maths). Those who were studying maths were more likely to see the maths in nature and in art and were often the ones who saw and enjoyed maths for it is creativity.

The contemporary play A disappearing number which the team went to see at the Barbican recently explored this often peddled binary. The play claimed to be ‘about mathematics and beauty’; about ‘imagination’ and about ‘love’ (see the theatre company’s website at http://www.complicite.org/productions/detail.html?id=43). Beauty, imagination and love are not commonly associated with mathematics. 

The artistic director, Simon McBurney articulated his struggle with this binary, in an article in the Times online. As the son of a
Cambridge professor, he admits to having struggled, as ‘an arty child’, with ‘mathematics’s authoritarian creed of right and wrong’. He read Hardy’s memoir, A Mathematician’s Apology and claimed “I read it and became very excited, because it wasn’t just about mathematics, but about the nature of the imagination,” he says. “As I began to read more, I discovered that great mathematicians worked through an extraordinary sense of instinct and intuition and, above all, imagination – that mathematics was created, throughout history, by leaps of the imagination.”
(see
http://entertainment.timesonline.co.uk/tol/arts_and_entertainment/stage/theatre/article2360554.ece) Thus through Hardy’s memoirs McBurney was encouraged to see mathematics as creative and imaginative. In an article in the Financial Times McBurney talks more about the concept of beauty in maths: ‘what is key, he says, is that many great mathematicians “are principally interested in patterns, in the same way that a poet or musician is.” But a poem or piece of music can move as well as please us. Can mathematics stimulate feeling, as well as intellectual satisfaction? McBurney argues that it can:“Hardy says that all of us get a ‘kick’ out of intellectual activity. That’s why people do crosswords or sudoku or study philosophy. And Hardy’s point is that nothing gives you an intellectual kick on the same scale as mathematics. Essentially what he is talking about is a buzz – and what is a buzz? A buzz is an emotional response.”’ (see http://www.ft.com/cms/s/0/89f9cb5c-3be0-11dc-8002-0000779fd2ac.html?nclick_check=1) 

So not only is maths creative, but it is emotional. McBurney goes on to explore the relationship between music, as a creative art form and mathematics, he claims “in medieval times, people thought of music as arithmetic you could hear.” Similarly an article about the play in the New Statesman likens the famous mathematician of the play, Ramanujan, to an artist or composer such as Mozart. (see http://www.newstatesman.com/200708230027). This association between maths and music reminded me of the previous blog I wrote on Dizzee Rascal, where he asserted that his album is called M4THS AND ENGLISH because that is what he does- English is his lyric writing and he sees producing his music as maths. I wonder how many music technology students see their work as mathematics?  On the subject of ‘But is it maths?’, this comment about maths by the artistic director McBurney made me think precisely about the Tate-exhibiting-artist Rachel Whiteread, who Heather has written about, whose art represents objects by making sculptures of the spaces around them (see http://www.tate.org.uk/servlet/ViewWork?cgroupid=999999961&workid=70992&searchid=13186&currow=20&maxrows=21,). McBurney echoes: ’One of the fascinating things about mathematics is that it describes ideas, it describes the invisible. How do you describe the space of somebody not being there? It’s very difficult. But you can have negative numbers.’  Let’s see some more dialogue across the chasm between mathematics and art, and disrupt this notion that maths is the opposite of creativity. 

Another art exhibition which explores this relationship between maths and art is Kenneth Martin and Mary Martin Constructed Works which has just left Camden Arts Centre to go to Tate St Ives from Oct 6th-Jan 13th 2008 and then to Bexhill-on-Sea, De La Warr Pavillion from Jan 26-April 20th 2008. Sumi

Beautiful Young Minds

On Sunday 14th October, BBC2 screened a programme about the British Maths Olympiad team. I thought that it was an interesting and sensitive documentary. However, I feel that it was unfortunate that the two people who were focused on most closely, Jos and Daniel, were the ones who had the most social problems and who perhaps most fitted the cliched images of mathematicians that we have found to be so widespread within our research. I can’t imagine a documentary about a sports team showing the team members to be so weird and different. This was mathematician as Other, even for someone like me who was pretty geeky and into maths at school.

If you missed it you can see a few bits on youtube:

The clip where Saul wins his IMO medal and then complains about its shape: http://www.youtube.com/watch?v=BBZoVS-SOmY

The clip where British Chinese Cong rants against the Chinese: http://www.youtube.com/watch?v=lnoi9WJF6r0&mode=related&search=

Saul’s ‘Mr T style’ mock Olympiad question http://www.youtube.com/watch?v=LHTQgzpZl7I

There is also an interesting video review of the documentary called High Functioning Autism: http://www.youtube.com/watch?v=Y-XPLK3ptUo&mode=related&search

If you’re interested in responses to the show then there’s a good discussion here: http://www.digitalspy.co.uk/forums/showthread.php?t=677769, and Sam Wollaston’s Guardian review: http://blogs.guardian.co.uk/tv/2007/10/the_weekends_tv_beautiful_youn.html.

I thought Jessica Holland’s article in the London paper was the best: http://www.thelondonpaper.com/cs/Satellite/london/tv/article/1157149325963?packedargs=suffix%3DArticleController. The next few paragraphs come from her:

Beautiful Young Minds is less interested in getting to the bottom of the links between number-crunching and autism, or the lack of women among top mathematicians (although it touches on both subjects), and more interested in showcasing how deeply weird the subjects seem.

The show’’s climactic “battle scenes” consist of people hunched over exam questions in silence for four hours, and the addition of CGI algebra floating across the screen doesn’t make it any more Karate Kid. The final IMO showdown simply involves a bigger room with more desks.

Admittedly, Jos, Daniel and another interviewee – who thinks that all Chinese people should be disintegrated and fed to mushrooms – are extreme cases. As another ISO mathlete wearily points out: “Not everyone here is a work-obsessed freak”. But that’s no fun. Most TV is there to make us feel good about something – if it’s not telling us that we can be awkward and introverted and still save the world and get the girl like Spider-Man, it’s there to say, “at least you’re not this strange”. If that’s this programme’s aim, then mission accomplished.

Heather

Popular gambling and mathematics

Since joining the project I keep seeing maths in popular culture too. A pastime which is ever-present in British culture is gambling, whether it is fruit machines in the pub, card games or roulette at the casino, betting on the horses, or the football pools, gambling is every where. It has never really occurred to me how many of these popular games involve mathematics, but of course many involve calculations of probability. But do they all- or are some completely unpredictable chance while and others involve different levels of skill, knowledge and calculation? I know many gamblers argue that fruit machines involve some skill, but do they? My partner argues that Deal or No Deal the television game show, involves no skill and is complete chance but, as Heather has written about, one of the mathematics undergraduate interviewees in this research insisted that Deal or No Deal does involve mathematical calculation.

Interestingly Wikipedia states that ‘The football pools did not [originally] fall under gambling legislation because they claimed to be competitions of skill, rather than chance’, so does this involve mathematics?

 

Clearly somebody else had thought about this. A Dr Edward Thorp a US professor of finance and mathematics has written a book ‘the Mathematics of Gambling’ (1984) where he began by using modern physics to predict the roulette wheel. Thorp also developed a successful method for stock market investing, with which he made a hefty amount of money.

Thorp also demonstrates how to use mathematical calculation to predict the horse races. He writes about betting on the horse races and describes the process of ‘hedging’ which involves taking two or more betting positions simultaneously. As many people know this is also a technique used in the financial markets with hedge funds and with insurance. So does this involve maths? Or is it just gambling?

I wonder if the fall in numbers choosing mathematics at degree level has been accompanied by a fall in numbers of economics, finance, accounting or business (etc.) undergraduates, or has there been a shift to a more ‘vocational’ choice of mathematics through these kinds of subjects? (see Chris Budd’s article ‘how maths can make you rich and famous’ with his discussion of financial mathematics, http://plus.maths.org/issue24/features/budd/).

The young people in this research seem much more likely to connect images of mathematics with physics or science in general, having a view of the academic mathematician or scientist, as opposed to more ‘applied’ versions or images of mathematicians. Not many spoke about the local ‘bookie’ or the multi million pound hedge fund manager as mathematician.

Sumi

Is mathematics everywhere?

I keep spotting maths on TV and film.

Last week I was watching Doctor Who and suddenly the Doctor is explaining happy numbers and bemoaning the lack of recreational maths in Earth’s curricula. You can catch this on youtube though sadly the scene in question is split between two videos www.youtube.com/watch?v=s3nAEFfEVQ0&mode=related&search= start at 8:40, and www.youtube.com/watch?v=3vt270nCtEA&mode=related&search=). It’s a good episode that also happens to be called 42 (surely a Hitchikers reference).

The next day, I had a rerun of Due South and on in the background and suddenly the two main characters who had gone overboard are talking about Godel’s theorem. I googled and found the transcript on line. I’ve pasted it below:

Fraser: All right. We have to go this way.
Ray: Come on, Fraser, hang on a second. A hundred and fifty yards under water?
Fraser: Well, it’s meters, actually.
Ray: Meters, yards, you think my lungs know the difference?
Fraser: It’s our only option.
Ray: That’s an option?
Fraser: Well, no.
Ray: No? What kind of logic is that?
Fraser: Well, it’s logic of a kind.
Ray: How?
Fraser: Well, sort of like a strange loop. It’s like Godel’s Theorem.
Ray: Who’s Godel? Godel? Who the hell is Godel?
Fraser: Godel was a German mathematician who founded this theorem that, loosely translated, means, everything I say is a lie.
Ray: So everything he said was a lie.
Fraser: Right. Except that what he just said was the truth.
Ray: So everything he said was a lie and the truth at the same time.
Fraser: Exactly, see, it loops back in onto itself.
Ray: A loop. I see. This I get, this is blood. I can go with this.
Fraser: Well, it’s also a function of logic.
Ray: Logic! See? There you go again! You always got to take it one step further, right? One step over the line!
Fraser: Why are you yelling at me?
Ray: I am not yelling!
Fraser: You are yelling!
Ray: I’m not yelling!

On the way to and from holiday I saw the following maths related films:

Ein Freund von Mir: http://www.imdb.com/title/tt0441762/: this was great, slow with two lovely central performances and a senstivie and nuanced take on the cliche of the asocial mathematician.

Chaos: http://www.imdb.com/title/tt0402910/: I didn’t like this so much but then I’m not really into Hollywood action films. Ryan Phillipe is good in it and there’s a chaos motif going through the film that is developed a little.

There’s also a new mathematical play on at London’s Barbican theatre: http://www.barbican.org.uk/theatre/event-detail.asp?ID=4928

See ya, Heather
 

fantasy and reality

I have recently finished reading Valerie Walkerdine’s new book on children playing video games. I found what she had to say really useful for making sense of how people interact with not just video games but also popular cultural texts in general. She writes against oppositions in which people are positioned either as active makers of meaning or as passive takers in of the meanings in the texts. If our sense-making is both conscious and unconscious then this distinction between active and passive breaks down. She distinguishes her own position from one in which “meanings are made actively by conscious subjects in specific practices in which subjects master the aesthetic conventions of games and which distinguish games from what [is called] ‘real world experience’, which we must assume to be different practices with different aesthetic conventions”. She goes onto argue that “those other practices are important because the knowledge and competences players bring to the games are produced through active meaning-making in other practices”. In her approach “there is no ‘real world experience’, which is not also to be understood through the specific meanings generated in quite specific sites and practices, but, further than this, we are still left with the child as active maker of meaning, which assumes a Cartesian subject who generates meaning.” (Valerie Walkerdine, 2007, Children, Gender, Video games, p.10) This is a difficult passage for me but I think that she is saying that the oppositions of active/passive and conscious/unconscious and the assumption of an active conscious maker of meaning relies on a distinction between fantasy and reality, between the world of the text and world of ‘real life’. This has started me thinking about how we might understand the relationship between what we call reality and what we call fantasy. Another writer who has provoked me on this topic is Judith Butler so I end this little theoretical blog with a quote from her:
“Fantasy is part of the articulation of the possible; it moves us beyond what is merely actual and present into a realm of possibility, the not yet actualized or the not yet actualizable. The struggle to survive is not really separable from the cultural life of fantasy, and the foreclosure of fantasy - through censorship, degradation, or other means - is one strategy for providing for the social death of persons. Fantasy is not the opposite of reality; it is what reality forecloses, and, as a result, it defines the limits of reality, constituting it as its constitutive outside. The critical promise of fantasy, when and where it exists, is to challenge the contingent limits of what will and will not be called reality. Fantasy is what allows us to imagine ourselves and others otherwise; it establishes the possible in excess of the real; it points elsewhere, and when it is embodied, it brings the elsewhere home.” (Judith Butler, 2004, Undoing Gender, p.28-29)
That’s it for now, am signing off to watch Big Brother (another interesting site for pondering the play of fantasy and reality in popular cultural texts, Heather

the trouble with stereotypes

In analysing the focus groups we have found that both the Year 11 students and the undergraduates can easily reproduce a stereotype when asked to imagine a mathematician. This is generally a white, old, middle-class man who’s life revolves around maths. However, as in the example below, there is a critical awareness that it is a stereotype:

Aby: Well obviously I think the stereotype would be kind of, you know, like glasses and like whatever.
Barbie: Glasses.
Aby: Yeah.
Violet: Suits.
Aby: And like the computer kind of nerd.
Debbie: Yeah.
Aby: But I don’t really think of that.
Magdalene: I think I think about it as like, did any of you like watch Beauty and the Geek?
Some: Yeah.
Magdalene: There was that guy. I can’t remember his name but he was really like. [imitates Richard from series 1 US version, particularly his high trouser waistline]
Debbie: Can you say that in words because I can’t actually record that.
?: Had like very hyperactive.
Magdalene: Yeah like hyperactive, he had like really high trousers, always tucked in.
Violet: Dark socks.
?: Yeah.
Aby: And he wasn’t very good in social situations at all.

Debbie: Ok. So do mathematicians, or does the stereotypical mathematician, have friends, family? Do they live on their own or?
Violet: They live on their own.
Magdalene: Yeah, I expect they have like friends but not really ones who like go out.
Violet: Yeah. Not really like party scene people.
Magdalene: Yeah.

Participants can also produce a stereotypical notion of maths as number and calculation, from which most again have a critical distance.

Marie-Pierre and I were talking yesterday and we are troubled both by how to make sense of the ‘effects’ of these and of what to call them. These are related questions but in this blog I’ll focus on the problem of what to call them. We are uncomfortable with the word stereotype. Here is the wikipedia definition of stereotypes:

Stereotypes are ideas held about members of particular groups, based primarily on membership in that group. They may be positive or negative prejudicial, and may be used to justify certain discriminatory behaviors. Some people consider all stereotypes to be negative. Stereotypes are rarely completely accurate, based on some kernel of truth, or completely fabricated. Different disciplines give different accounts of how stereotypes develop: Psychologists focus on how experience with groups, patterns of communication about the groups, and intergroup conflict. Sociologists focus on the relations among groups and position of different groups in a social structure. Psychoanalytically-oriented humanists have argued (e.g., Sander Gilman) that stereotypes, by definition, are never accurate representations, but a projection of an individual’s fears onto others, regardless of the reality of others.

However, despite what it says here, we feel that the idea stereotype carries some problematic assumptions. First, it assumes that there is a reality that the stereotype simplifies/exaggerates/distorts. Instead we feel that there is no reality separate from these images; they construct and produce what we come to think of as real life. Second, it assumes a psychological separation between the individual and the social. With stereotypes being part of the mechanisms whereby the social impacts on the individual. Just as we want to blur the distinctions between fantasy and reality, we want to blur those between the individual and the social.

We are not sure what to put in place of the word stereotype though. If anyone out there is reading this and has any ideas they’re very welcome.

Bye, till next time, Heather

Can maths be popular

Why is is a struggle to imagine the mathematical and the popular together?
In the interviews we asked participants: ‘imagine a world where mathematicians appear on TV regularly, what kind of world is this?’ We have been struck by how often this provoked a combination of confusion and amusement. And by how often they felt that this implied the society would be very focused on learning. I have listed below the initial reactions to this question from the 16 people who I interviewed. 10 of these are from Year 11 students, 3 from sociology/education university students and 3 from maths university students. I’m not sure it is that easy to work out which one is which so you might want to think about this as you read them (answers at the end).
Enjoy :) Heather

“That’s a world where like everybody’s learning constantly.” Not just about maths, “there’re like little babies, progressing academically, they already know how to spell.”

Laughter/hesitation and: “I’d just turn off the TV.”

Hesitation, it’s “maybe a smarter world”.

“It’s quite a diff, I don’t know really. [It’s hard to imagine, isn’t it?] It is hard, coz you’re not used. It’ll probably, it wouldn’t be the same I don’t think if maths appeared on, I’m not sure, I can’t, I can’t mentally picture it really.”

“Well they do at the moment don’t they? Watching Countdown. [OK] Um, um, depends what they’re doing on telly I suppose.”

“Hmm. That’s interesting, then I think it’s all about learning. You go into school or something, it wouldn’t be necessary because then they are always on telly.”

“That wouldn’t be too bad, as long as like it was fun, in a kind of maths thing.”

“That’s a very intellectual world. Definitely.”

“Okay. Er, I think when you said that, what I thought of was black and white, back in the days. And like boring. … I saw an old-fashioned TV, black and white pictures and like boring.”

Repeats the question, then: “If pop stars and if idols were doing maths on TV, then I think a lot more people would do it actually.”

Laughter, “I don’t think anyone would watch TV.”

“I think people may get like involved maybe, maybe a bit more.”

“Mm-hm. That would be great because as I said earlier on people always want to pick a role model, you understand, and you can imagine what is going around this world more especially in this country.”

“Um, well what kind of TV programmes?”

“Er people would be bored, you know. I think maths is a kind of, I don’t want to make the, sounds snobby, but maths is a subject that not everybody can enjoy. Higher level maths, I mean you can try to reach people with the kind of lower level maths, but it’s not fun in a way for them, so I don’t think people would watch TV so I don’t watch TV so it’s not fun for me. [laughter]”

“I think that would be a society that’s not bothered to, have an education system.”

(The three maths uni students are: “Well they do at the moment don’t they? Watching Countdown …”; “Er people would be bored, you know. I think maths is a kind of, I don’t want to make the sounds snobby …”; “Mm-hm. That would be great …” The three sociology/education uni students are: “Okay. Er, I think when you said that, what I thought of was black and white, back in the days …”; “I think that would be a society that’s not bothered to, have an education system.”; “Hmm. That’s interesting, then I think it’s all about learning …”)

Memorable and significant images

We have noticed that the mathematics undergraduates we have spoken to and the school students who want to carry on with maths, often have particular images of maths and mathematicians that they talk about as important to them. Sometimes these have played in their memories for many years. I have selected a few of these and pasted them at the bottom of this post. Obviously, these images didn’t cause people to choose or to enjoy mathematics, but perhaps popular culture representations are one of the many resources that can suport the development of a positive relationship with mathematics? Heather

Marie-Pierre: Ok, so what kind of, do you want to describe a mathematician, what kind of images do you have of a mathematician in general? What is it like a mathematician?
(giggles)
Holly: Geeky. (all laugh) Bald.
Marie-Pierre: Bald.
Holly: Yeah. Like in all the films.
Dave: Yeah. Except for one, the one that always got me thinking about it when I was younger was Jurassic Park and it had Ian Malcolm in that and he was like a cool mathematician and you’d never had a cool mathematician before. … And he’s there and he comes up with all these crazy theories about chaos and stuff and how everything is going to happen and it does, it comes up but I mean the guy himself he’s done a lot of other stuff and he’s kind of a cool character and he gets away with it. He’s still a geek but he’s nowhere near as bad as everybody else and he kind of, he gives a different image to it but he’s like one out of the million ones that are just geeky old mathematicians.
(Charlton-Moore, a post-1992 university, third year mathematics undergraduates)

Thierry: In my family we are all scientists. I think that that comes from… how can I say… when I was young, a boy did something with mathematics and I was very, very surprised. I said ok, I am going to do the same as him and so he is like my model, I chose him like my model, I said I am going to be like him. It’s like the student behaviour at our school you can’t blame the parents, you can’t blame the teachers because the students have to choose what they want to be. And with that choice they can do what they want. And so I like mathematics because I focus on one man who was very, very strong on mathematics. I applied that in my country I said I am going to do that.
Heather: So how old were you when you made that decision when you saw this person and said I am going to be like him?
Thierry: At 13 years.
Heather: 13.
Thierry: Yeah.
Heather: And what was it exactly that he did that triggered that feeling?
Thierry: The national examination, he was 18, in GCE advanced level, and at that moment in my country to be 18 and doing A Level that means you are a genius. In national examination he rectified a sheet because there was something wrong there and they cancelled the national examination in mathematics. All the country said why, only for a 18 year old, they cancelled the mathematics exam. That man is bright, a bright child. And I said I am going to do the same, if you give me a sheet who’s wrong I am going to rectify it, I am going to explain you and give you the real meaning. Because he went on television to explain.
Heather: And so you saw him on TV?
Thierry: Yes.
(Gillespie, a post-1992 university, third year mathematics undergraduate)

Mr 37: I love Deal or No Deal. There’s, it’s, I suppose it’s the programme I engage with most mathematically. I mean it used to be Countdown in the early days, the numbers game but now it’s Deal or No Deal and it’s about chance and probability. I suppose it’s the gambler in me as well that likes it as well. But I’ve always been very fascinated by randomness and probability. So, there was one show that had a bookmaker on and he was, he was the only person I’ve actually heard make some sort of sensible statements about what’s going on because I think if there’s something like 11 numbers left, there’s a 50/50 chance of keeping the top two. … And the other nice thing is when you second guess what the banker is going to offer, to try to work out what the algorithm is that he uses to guide him. So that’s all, I’ve really enjoyed watching that show.
Heather: That’s interesting cos I know when we show it to some of the school children they say things like, ‘’that’s not maths’. And then one of them might think it’s got a little bit of probability in but it’s interesting when you know some maths, you’re looking at it in a different way.
Mr 37: It’s not presented in a mathematical way, that’s the, my bugbear about it really. It’s presented, as really some sort of psychic game and correct decisions are proven by the outcomes. You made a bad decision because the prize wasn’t in the box. You know and so much, it’s very counter intuitive, especially if you try and argue that that was the right decision, even though it didn’t turn out right. That so much in life you think I made a good decision because it turned out right whereas it’s just luck really, it could have actually been a bad decision. (laughter) It’s like I could say ‘I’m not going to bother taking my child to school today’ and then I stayed at home and I caught a very important phone call so it was the right decision to not take her to school. So I think it’s presented in a not, in not a, in a very unmathematical way.
(Gillespie, a post-1992 university, third year mathematics undergraduate)

Marie-Pierre: What about popular culture do you think that has influence on choice of subjects or not?
Nathan: Uh, well I suppose yeah, because like, it sounds a bit stupid but when I was little I watched this cartoon and there was a mathematician in it and um.
Marie-Pierre: Yeah. Ok.
Nathan: And he was seen like, I suppose he was like, seen as really cool I suppose and like he went to work for NASA. So that sort of made me like maths I think. Um, yeah.
Marie-Pierre: So what cartoon was it do you remember?
Nathan: Um. I think he was only in one episode, it was called Recess I think.
Marie-Pierre: Recess.
Nathan: Yeah, on Saturday morning TV it was, many moons ago that was.
(St Joan’s, a secondary school in a large town, Year 11 student)

Heather: What other examples can you think of about maths in popular culture that you can remember?
Luigi: Like in films and stuff?
Heather: Yeah, films or TV or.
Luigi: In A Beautiful Mind, Russell Crowe, he was like amazing at maths, solving numbers and stuff. He could just like see numbers and he could solve, like, really complex things, but then he was like schizophrenic.
Sky: What are you talking about?
Luigi: It’s a film. A Beautiful Mind.
Sky: What’s it called?
Luigi: A Beautiful Mind.
Heather: Do you think there was some link between him being good at maths and him being schizophrenic?
Luigi: I think that’s what they tried to show in the film that he could look at, I don’t know what it was, like a pattern or something and he could just like pick out the numbers, they made it look like he was picking out the numbers, the numbers were coming out and standing out from everything else.
(Shelley, a London secondary school, Year 11 students)

Maths and magic

This research has made me think a lot about what maths is. One of the Gillespie University media studies undergraduates who filled in the questionnaire selected the film ‘The Prestige’ as one of their examples of maths/mathematicians in popular culture when they filled in the questionnaire. They remembered that it contained magic tricks using maths. Last night I watched the film. (Since this was the last group we managed to get to fill in the questionnaire and this was the only person to mention this film, it didn’t get covered in our initial text analysis.) There weren’t any direct references to maths so it made me wonder why this person had made that connection. There are a few possibilities that I came up with. First, there were a lot of links made to science and technology and there are even a few ‘mad science’ type scenes. Our research shows that there is a lot of slippage between mathematicians and scientists in people’s imagination. Second, there are many links between maths and magic and many tricks rely on ideas developed in mathematics. Although this is not mentioned explicitly in the film, it would be easy to read this into it if the viewer understood something of the relationship between maths and magic. Third, some mathematical language is used. One magician acquires the encoded diary of his rival and is heard thinking as he looks at it “a cypher, and enigma, a search for answers”. Finally it struck me that the figure of ‘the magician’ constructed within the text has many similarities with the construction of ‘the mathematician’ within much of popular culture. Magicians are obsessive, they sacrifice for their art, even having to give up those they love and subsuming their whole sense of self to their practice. (There are also lots of differences as well, for example, magicians perform so cannot be completely ‘nerdy’.) There are distinctions made between a ‘real magician’ who invents new illusions and others (a few of the maths undergraduates made this sort of distinction regarding mathematicians in the focus groups). There is also some talk about ‘natural magicians’. Paralleling the cinematic images of mathematicians, magic is an space in which men compete, women are something they compete over and women’s contribution to the heroic magical quest is rendered invisible, they are lovers, wives, daughters and glamourous assistants.

youtube

I have recently discovered youtube and love it. There’s so much maths stuff on it. It’s making me wonder if we’ve been focusing too much in the project on more traditional forms of popular culture like TV and cinema, and not enough on new media. Anyway below I’ve highlighted a few of the maths related youtubes I’ve discovered.

The American battles over the maths curriculum are now happening in cyberspace. MJ McDermott explains what’s wrong with progressive mathematics in Math Education: an inconvenient truth (http://www.youtube.com/watch?v=Tr1qee-bTZI). There are several responses to this e.g. http://www.youtube.com/watch?v=9skRrnN2_HU&mode=related&search=. Madeleine is an eloquent student advocate for traditional pedagogy (http://www.youtube.com/watch?v=EyHER6o-4×0), while Mason and his teacher respond to Madeleine and put the case for investigational work (http://www.youtube.com/watch?v=ITelC3KlgC0).

There’s lots of Numb3rs related youtubes. Some of these are clips from the series or trailers and some are video versions of fanfiction in which people edit together clips from the shows, usually with a backing track and often to create alternative plotlines to the ones in the networked show. My favourite sub genre of these is slash where two same-sex characters who do not have a relationship in the show are imaginged as being romantically involved. The most popular slash pairing from Numb3rs is Don and Charlie, and the best of these slash vids to my mind is Save the last dance (Don/Charlie) by Rhysenn: http://www.youtube.com/watch?v=ynUdPGvkLNc

Another intratextual example are the variations on the mathlete rap by Kevin G in Mean Girls. If you haven’t seen the film, you can catch the original version of the rap on:http://www.youtube.com/watch?v=NptzTsEN9Bg (the lyrics are all over the web too e.g. http://www.songwords.net/waiguo/soundtrack/meangirls/007.htm). There are a remarkable number of karaoke style versions of this. You’ll find them if you search on youtube using ‘mathlete’ but even if you can’t be bothered to do this, check out Lynnangel who has masses of attitude: http://www.youtube.com/watch?v=WXbDfHE95UQ&mode=related&search=. While I’m on the subject of maths raps, there’s one more that’s nothing to do with Mean Girls but I find really bizarre: http://www.youtube.com/watch?v=Ooa8nHKPZ5k

Do reply by posting other interesting mathsy youtubes, Heather

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