TALL blog

On 14 March at 1.59pm GMT, Professor Marcus du Sautoy will host Pi Day Live, a free interactive online event that is open to all. The event is a hands-on exploration of pi, the number which has fascinated mathematicians throughout the ages.

This event has been designed by TALL and we’re pretty excited about it because:

1. It’s genuinely interactive. Participants will work together online to calculate pi using techniques from the pre-computer age. We want to discover if we can collectively calculate pi to one, two, three or more, decimal places using tools no more sophisticated than marbles, sticks and string.

2. It’s open. Just as long as your computer can run YouTube, (and your timezone doesn’t mean you’ll be up past your bedtime), you can take part.

3. It’s scalable. There’s no predicting how many people will join us on the day. There is an element of registration involved which will give us a rough idea in the run up to 14 March but we’ve designed an engagement model that will scale in response to the level of participation we get on the day.

Visit http://oxfordconnect.conted.ox.ac.uk to find out more and to participate. Get live updates and all the pi facts you could ever want via Twitter  and Facebook.

Pi *Day* (?)

Mathematicians (and the American House of Representatives) have christened 14 March Pi Day because the date, when written in the US date format, is 3.14. Add the 1.59pm time of the Pi Day Live experiment and you get 3.14159, or pi at around the accuracy Archimedes calculated it over 2000 years ago using simple geometry.

166/365:Information super highway / Kit / http://creativecommons.org/licenses/by-nc/2.0/

Last Thursday I was at a seminar that looked at innovation in academic practice by exploring the disruptive effects of social media. The speaker took us through current conceptualisations of how people learn in higher education and made the case for social media as being well suited for supporting these approaches to learning. He went on to argue that social media had the potential to be a disruptive technology in teaching and learning in higher education, which means it could transform current practice.

The speaker touched on VLEs (virtual learning environments) in higher education, making the case that they were not a disruptive technology as they relied on proprietary systems and were silo-like in their design. This sparked an interesting debate as two of my fellow attendees were part of the team that runs the University of Oxford’s VLE. As I listened to the speaker’s experience of VLEs and the developments described by my fellow attendees, I was struck by this thought:

The evolution of an institution’s VLE is the narrative of that institution’s attitude towards, and relationship with, learning technologies.  

I shared my observation and, for a beautiful moment, held the room in my thrall. The speaker was so moved he exclaimed: “That’s fascinating, please send me the URL for that!” Caught up in the moment, I cited my source with an accuracy that was perhaps a little misplaced: “I made it up just now in my head”. It may be one thing to gain the respect of your peers, but I’m pretty sure maintaining it doesn’t involve this degree of candour. (Although the speaker was kind enough to send me a LinkedIn request an hour after the event so my outburst wasn’t a total disaster.)

Now that my idea is on the Internet, it has become more true 🙂 My next priority is to find out who else has thought this thought. As I am no longer in my early twenties, I am happy to accept that I can’t have been the first to make this observation. So, anyone know of any work out there that looks at VLEs in this way?

Deconstructing approaches to Social Media is similar in character to explaining why a joke is funny. It’s a form of analysis that sucks the life out of an activity which is more ‘art’ than ‘science’, something which is performative not administrative. Personally I don’t know why any Social Media policy should say more than ‘Be a person not an institution’ and ‘Don’t Tweet/post after you have been to the pub’. However, whether formalised or not, it would be dishonest to pretend we don’t have Social Media strategies. Not unlike stand-up comedy a guiding principle where the professional and Social Media converge is to appear to be speaking as if the thoughts had just occurred to you. The Not-Quite-Real-Time nature of most Social Media gives us all the chance to look clever/witty. Thanks to @nosnilwar my new favourite word is Sprezzatura, an approach/characteristic which all of the people I know who are a great ‘success’ in Social Media share. If you look like you are trying you are doing it wrong…

CC- Darkroom Productions http://goo.gl/umLgT

Sara Tindall ran our Social Media activities during the Maths in the City project, this included running the @mathsinthecity Twitter feed. As part of reflecting on the project I asked Sara to muse on her Tweeting and give a few examples. We hope this mini-qualitative review of our Social Media activity will be of interest to those of you embarking on project-based or representing-an-institution style Tweeting and that we haven’t spoilt the childlike magic of Social Media too much. 🙂   David White (Creative Director for Maths in The City)

—————-

My most popular tweet

My most popular tweet hit the bullseye as far as pure mathematicians were concerned. It got retweeted 205 times. The tweet was about a cartoon, which was originally tweeted by Tim Harford. I repurposed his tweet to make it about maths. Whereas Tim was retweeted 22 times, my tweet was retweeted 205 times. Despite having fewer followers (2k+ to his 50k+), my tweet had the further reach because I am funnier than Tim. I have a bunch of followers who could really relate to the cartoon.

An example of banter

A tweet starts as a maths challenge and ends up making an appalling play on (French) words.  Christian Perfect regularly communicates with me on Twitter, so I am able to be more direct in my humour with him. When Colin Beveridge joined the conversation, the ever-versatile emoticon helped to show I wasn’t trying to be confrontational.

An example of interaction/conversation

I started following The Quadratic Girl simply because her self-description is a clever pun using maths. She occasionally tweets about maths. When she tweeted “I will take a photo of all my maths books <3”, this is how I responded. This resulted in a nice geek out over books. Making these sorts of connections is the point of social media – people just want to have fun.

Interactions with project participants

The core activity of Maths in the City is mathematical walking tours of London and Oxford. People who have been on/are about to go on these tours get in touch via Twitter from time to time. Usually it’s to say thank you, although sometimes they want to make sure that the weather won’t stop the tour. There was one time where a tour participant got lost. In the end he couldn’t find the group but he was able to follow the tour using materials downloaded from our website.

It’s a great feeling when I see people connecting with the project both online and face to face because it tells me we must be communicating something that people want to hear.

Examples of how Twitter supported the face to face part of our project

Our mathematical walking tours got fully booked within around 48 hours of announcing them on Twitter. Here are some of the ways tour dates were announced:

• First announcement of more London dates
• A follow up tweet, fifteen  minutes later, to let everyone knew that the first tickets have been booked
• The day after the first announcement, I let everyone know that only half of the tour places are left
• I follow up with a slightly irreverent tweet as tweets announcing the tours have been sounding a bit institutional

And here is an example of how I used Twitter to fill tour spaces that have become free due to cancellation. This was tweeted two days before the tour date and the places were filled within a couple of hours.

An example of how to keep your Twitter feed relevant

Tweeting outside of office hours and commenting on national events are a good way to look human. Here’s one from the Olympics. Everybody likes a little joke at the expense of the Australians…

And now for something purely self-serving…

I took Maths Dave on holiday with me and shared this snap on Facebook. That’s right, you’re looking at the space shuttle Discovery, in the Vehicle Assembly Building at NASA. Oh yeah.

There are many facets to the Maths in the City project – public engagement, connecting through social media and working with volunteers. The central goal of the project was to develop and lead mathematical walking tours of the ‘city’ – we wanted to tell the stories of the maths in the city to as wide a range of people as possible.

The people telling these stories were mathematics students, many of whom had no public speaking, science communication or teaching experience at the start of the project.  They didn’t even necessarily have experience in the areas of mathematics they were communicating but what these students did have was enormous enthusiasm about their subject and for the Maths in the City project.

In order to make the walking tours a success we had to harness that enthusiasm and make it as simple as possible to lead the tours. We found that there are four steps to designing walking tours that are simple to lead:

1. Take care of the practicalities

Minimise the amount of walking, traffic hassles

We quickly realised that if we were to have enough time for discussion at different stops on the tour we weren’t going to be able to walk very far.   It seems that the walking pace of a group of people exponentially slows down with the size of the group (NB – this may not be a mathematically rigorous conclusion!)

Keep an eye on your group size

We also found that the ideal size of a group on the tour was around 15 people.  The tours still worked well with larger and smaller sizes (we ran tours for 4-30 people) but 15 meant that everyone could participate without feeling constantly in the spotlight.

The best location to talk about a site isn’t always where the site actually is

The locations for the sites on a tour are an exercise in compromise. You need space available for a group of people to gather, the levels of background noise need to be taken into consideration, and you need to factor in the distance between the previous and the next stops on the tour.  For example our site about the Gherkin in London is on the opposite side of the river to the building, which allows the group to have a view of the skyline and has the space to build structures out of garden canes.  Similarly, our site for the Sheldonian Theatre in Oxford often ends up being outside the adjacent building due to space available on the busy pavement.

2. Make the maths accessible

Revealing the depth of simple ideas

We wanted our tours to be accessible to as wide a range of people as possible: grandchildren to grandparents, maths graduates to maths phobics, teachers and interested bystanders.  Simple concepts, such as the strength of triangles or the efficiency of hexagons, proved enticing to people who might initially think maths is daunting.  Guides then explored the deeper mathematical consequences of these simple ideas or wider applications, which provided interest for the more mathematically experienced.

“On the occasions when it started out too simplistic, the guides were happy to answer deeper questions.”

Hands-on demonstrations can make complex ideas more concrete

This didn’t mean that we shied away from sophisticated mathematics.  We found that you could make concepts like graph theory, topology, symmetry and group theory more down-to-earth by involving the group in demonstrations that illustrated and explored the ideas.

“The practical demonstrations made the concepts easy to understand”

3. Make the communication easy

Telling stories

The most important thing for us to remember has been that we are telling stories, stories that just happen to be about maths. It helped to emphasise that these stories should have a beginning (often pointing out the link to the location), a middle (revealing the maths) and an end (perhaps a surprising demonstration or revealing the maths in a wider context). We particularly tried to provide a final sentence that would provide a punchy and conclusive end to the story, enabling the guide to wrap up that site and move onto the next.

Crib sheets

Some of the stories involved maths concepts set in a historical or modern context and a number of hands-on demonstrations using multiple props.  We quickly discovered that for these more complicated sites it helped to provide a crib sheet at the end of the notes highlighting how to weave together the main points of the story with the demonstrations.

Questions and conversations

We asked our guides to think of the tours as conversations.  We suggested lots of questions in the tour notes that guides could ask to engage the group and they encouraged people to ask them questions too. We found this advice from our EPSRC mentor about asking and encouraging questions very useful:

• Start with easy questions that anyone could answer (eg. what shapes/patterns can you see on this building?) and build up questions in layers of understanding.
• Give people time to think and respond, don’t be worried by silence, it’s just a little thinking time.
• When someone answers a questions, clearly repeat their answer.  This makes sure that everyone has heard the answer and is a nice affirmative response for the person concerned.  It also is an opportunity for you to use the language they have supplied, helping you establish the group’s vocabulary and level of understanding and building from there.

People on the tour often had information about sites that we didn’t know or their questions and interests that meant the story we told on our walking tours was different every time.  The tour notes were just a suggestion and guides were encouraged to tell the stories their own way and respond to the interests of the group.

 4. It’s personal

“The tour guides were fantastic!”
“ I’m appreciating the things around us in a different way, looking afresh at things.”

In the end it was our tour guides, as much as our content, that made the project such a success.  This personal interaction with mathematicians, both on the walking tours and through our social media, has had as strong an impact on our audience as the mathematical stories we told.  For many tour participants meeting the maths students who led the tours and hearing about their personal journeys in maths has created a lasting image of mathematicians as creative, entertaining, passionate and ordinary people.  We hope we have helped people see mathematics, as well as the city, in a new light.

This post was written by Rachel Thomas, Public Engagement Officer for Maths in the City, and is part of a series of posts that discuss our approaches to public engagement.

Over the last two years we have had the pleasure of working with a wonderful group of students from the University of Oxford on the Maths in the City project.  In fact, as you will have no doubt realised from our previous posts about the project, these student volunteers have been vital to the success of the project.  Over the last two years they have:

• come on maths hunts in London and Oxford to take pictures and get ideas for mathematical sites;

“If you have other students who can present like these two, mathematics outreach is in good hands.”

•  created mathematical sites as examples for a public competition;
• brainstormed new ideas for the tours and developed existing ideas further in workshops;
• helped out at a competition event, engaging with visitors and assisting with the inaugural the tours;
• trained as guides, learning storytelling and communication skills as well as the content of the tours;
• lead 35 tours (reaching around 450 people): 31 for the general public, 3 for school groups, one for university students and one for university alumni;
• provided feedback on tours, suggesting improvements in their design and content;
• and used social media to promote the project and interact with the growing community, enabling us to reach an audience of over 2,000 people on Twitter and around 500 people on Facebook (this online community meant many tours were filled within days of being announced through our website and social media).

“The tour guides were absolutely delightful – if the two young presenters find mathematics too restricting, a life on the stage is clearly an option :)”

We were very fortunate to be able to build on the success of M3, the group of volunteers founded by Marcus du Sautoy to visit schools and science festivals promoting mathematics.  The core group of these students that were actively involved in Maths in the City grew from eight students in 2010 to around twenty in 2011.

In order to make the most of the time and enthusiasm of these volunteers, we discovered it was important to keep the following things in mind over the course of our project:

• Availability: We had to accommodate their schedules and manage expectations of how much time they could contribute during busy periods in the university calendar (eg. most were busy with exams in Trinity (summer) term) and holidays.
• Travel costs: It’s not fair to expect students to pay for travel between cities for all elements of the project (workshops, training, as well as the tours themselves).  This restricts access to the project for some potential volunteers.
• Reminders: The students are very reliable but they do have busy lives.  We put in place a system of reminders, checking they were aware of upcoming events they were involved with (say a fortnight before and again a few days before), sending all necessary information (eg. meeting place, time, expected participants, tasks for the day).
• Backup system: It’s good to build in some redundancy, for example having three volunteers for each tour if you really only need two so it doesn’t matter if someone drops out but this wasn’t always possible.  We were lucky enough to have paid staff who were always available to back students up if one of them was unable to run the tour.
• Use their strengths: The students were very happy to work hard in the workshops and other events but didn’t necessarily have time between events to work individually on the project.  We focussed on priming them for a workshop or event with material they could use on the day but designing the workshop so it didn’t matter if they hadn’t been able to read the material beforehand.  We realised their strength was generating ideas in a workshop, which the project team then developed into full resources that the students would go on to use on the tours.

“The tour guides did a wonderful job at putting across often complex mathematical concepts in simple straightforward language”

Some of the previous points are specific to a project that requires volunteers to travel to and run events.  We’ve learned, however, that there are some factors that would help any volunteer-based project succeed.  Here are our top tips for making the most of your volunteers…

• Emphasise what they will get out of the project: As well as asking them to help us we also made it clear what they would gain from their involvement – communication skills, experience in public engagement and science communication and an excellent addition to their CV.
• Have them involved from the ground up: Some of the students have been involved in the project from the very first meeting.  We have tried to involve them in as many aspects as possible and kept them informed of how the project as a whole was developing, as well as the parts they were involved in.  Not only did this build their expertise, which was a great benefit for their and other student’s involvement in the project, but it also created a sense of ownership of the project for the group of volunteers.
• Give them ownership: We fully supported their growing sense of ownership.  They we acknowledged at all times, on all material, as being a core part of the project, we asked for, and responded to, their feedback.
• Let them jump in at the deep end:  After giving them initial training, we made sure they felt fully supported.  For example the week before the initial run of pilot tours a team member and the kit were available every afternoon for practice runs.  We also gave them the project mobile and help numbers to call so they felt like they had backup on the day.  Then the project team essentially stepped back and handed the responsibility over to them – they lead the tours themselves with very little assistance from the project team.  Expecting the best of them seemed to give the students confidence which grew each time they worked face-to-face with the public.
• Use peer to peer teaching: After initial training workshops, the best way of training new guides has been to team them up with an experienced guide and learn from them on the job.  Not only has this meant we can continue to deliver tours while taking on new guides, it seemed to give both the experienced and inexperienced guides confidence in their abilities.
• Have a variety of involvement: Students could volunteer at any time during the project, they could attend and contribute to any of the workshops and they could volunteer to lead or just assist on tours or to join our online team.  This meant that people could be involved in whatever way felt most comfortable for them and for whatever time they could contribute.  And often once someone was involved in one aspect (say attending workshops or assisting on tours) they gained the confidence to participate in other ways.
• Say thank you: We regularly acknowledged, individually and as a group, the efforts of the volunteers involved.
• Let them eat cake: We provided snacks and drinks at workshops and meetings wherever possible.  We also covered their lunch on the days they ran tours (they could claim up to £8 in expenses). Although this might seem a frivolous thing to include in a budget this was an important part in the success of our volunteer team.  It encouraged people to come to meetings, particularly when they ran over lunchtime or in the evenings.  Providing snacks and drinks also creates a positive atmosphere around the project as it is a physical manifestation of our respect for the volunteers and a recognition of their efforts and commitment to the project.  We couldn’t have done it without them.

I hope you found this helpful. If you did or think we’ve missed anything, tell us by commenting below or dropping us a line on Facebook and Twitter.

This is part of a series of blog posts which discuss our approaches to public engagement on the topics of; teaching/public delivery of complex material, what makes the public participate in public engagement initiatives and using social media for public engagement. There’s also an intro post that gives an overview of the Maths in the City project.

This post was written by Rachel Thomas, Public Engagement Officer for Maths in the City.

The Maths in the City is a public engagement project that, in short, went really well. There are many factors that contributed to its success and in this post I shall share the secrets behind our effective public engagement through social media.

Diagram time!

The broadcast approach

This is the classic institutional mindset, all forms of engagement  being ‘broadcast’ to a public ‘out-there’ from behind institutional lines.

The conversational approach

Our approach was de-centralised and more conversational. The offline activities promoted online  ways to engage and vice-versa. This created a virtuous circle and a kind of many-to-many relationship between all of our activities. This was supported by a project team with overlapping skills and responsibilities (i.e. we all moved ideas and items around the loop). Key to this approach was constantly ‘drawing-in’/responding to opinions and artefacts from the public and the co-production of materials with our group of student tour-guides.  This we felt was a more honest form of engagement and in keeping with the conversational tone of social-media.

This is how we applied our approach (yes, there are seven points):

1) Tone. I went for a fun, slightly irreverent tone while also expressing a wonder for the beauty of mathematics. I adopted this tone based on what I observed to be the majority tone adopted by maths communities on Facebook and Twitter.

2) Content. I only had a basic background in mathematics. However, I found that the ability to find funny and interesting material was more important than depth of knowledge.

This tweet really caught the pure mathematician zeitgeist… 205 retweets! It linked to this cartoon: http://www.smbc-comics.com/?id=2674

In the first year I relied on posts/tweets from others in the maths community, pictures of the project mascot (Maths Dave) and, I am not too proud to admit, Google searches. In the second year of the project, a group of student volunteers got involved and they added a layer of further interest by setting puzzles and teasers for people to solve.

3) Message. The majority of tweets and posts communicated the joy of mathematics and included a push to the project website when relevant. We found that this maintained a sense of community and presence, which in turn led to a swift response to any project-specific news and calls to action.

4) Frequency. In the first year of the project, I tweeted three times a day and posted on Facebook every 1-2 days. Initially, I set aside 15 minutes every morning, lunchtime and afternoon in which to tweet/post content. This time got less as I identified reliable sources for content. In the second year, I visited the project Twitter feed and Facebook page just once a day as student volunteers contributed to content.

5) Critical mass. We wanted to get our follower numbers on Twitter into the hundreds and ‘likes’ of our Facebook page to 100 as soon as possible so that we could get the flow of communication going. In the first month of launching our Twitter feed and Facebook page, friends of the project who had significant followers of their own were asked to publicise the project and encourage their followers to follow/’like’ Maths in the City. They were happy to do so because they were asked by people whom they respected and we had already placed strong content in our Twitter feed/Facebook page.

6) Volunteers. Volunteer students from the University of Oxford were an important part of the project deliverables and we had a pool of talented and motivated students who were passionate about sharing their love of maths with the public. Some of them did not have time to participate in the face to face aspects of the project so our social media channels provided them with a volunteering opportunity that fitted in with their study commitments. Those who joined the online public engagement team helped to double follower numbers in the second year of the project.

We meet in the pub because there is free wifi. There’s no other reason. Now what’s the budget code for a pint of bitter?

They could either use the project Twitter account or their own and  if using the project account, they followed some simple guidelines regarding the tone, message and purpose of their activity.  Becoming the voice of the project or interacting with the project under their own accounts seemed to contribute to the volunteers’ sense of ownership of the project.

7)Sustainability. We put a lot of thought into making sure Maths in the City had a life after the end of the project. The student volunteers who have been an integral part of this project are part of Marcus’ Marvellous Mathemagicians, a public engagement team run by the University of Oxford’s maths department. Their social media networks are small so the project Twitter feed and Facebook page will be repurposed so that they can take on the networks established by the project to support their own public engagement activities.

So that’s how we did public engagement through social media. This is part of a series of blog posts which discuss our approaches to public engagement on the topics of; teaching/public delivery of complex material, what makes the public participate in public engagement initiatives and the management/encouragement of volunteers. There’s even an intro post that gives an excellent overview of the Maths in the City project. (Dave White made me say that.) If you find any of these posts useful, let us know by commenting below or dropping us a line on Facebook and Twitter.

To paraphrase Dave White in the first blog post in this series about the Maths in the City project, engaging the public is a delicate business, particularly when you want meaningful levels of involvement.

Getting involved in Maths in the City takes effort. We ran mathematical walking tours in the snow, hail and pouring rain and in most of these tours, everyone who booked turned up. Creating an example of maths in the city on our website requires registration and then at least ten minutes to post a picture and write about it. The quality of some of the examples suggest that far more time than this has been invested. We are in regular communication with followers/fans on Twitter and Facebook who don’t know the names and faces of the people behind the tweets and posts.

“Exceeded my expectations! The tour was interesting, exciting and FUN, even in the pouring rain! Thank you”

So why are all these people so keen to participate? Here are our top four reasons.

1. Everybody loves a competition
We launched Maths in the City on an unsuspecting world by announcing a competition. We offered serious prizes and the quality of entries were superb. To see a list of winners and what they won, visit this page on the Maths in the City website. The competition is responsible for 60% of the examples of maths in the city on this site.

Winners and runners up included a man from Ireland, a group from Spain and a young lady from Hong Kong. Despite the fact that we could not pay for travel, all winners and runners up attended an award day at Oxford except for the girl from Hong Kong, who sent a video message. Pictures from the award day are available on Flickr.

The winners of the Maths in the City competition, with Marcus du Sautoy

2. Everybody loves a Dave
Maths in the City has a mascot, named Maths Dave. Placed as a resource on the project website as piece of whimsical fun, the cult of Maths Dave quickly grew, as evidenced in the Maths Dave forum. (Get your own Maths Dave here.)

One maths teacher from Walthamstow School for Girls used Maths Dave in her lessons; her class did such a great job with their Maths Daves and Davinas that the teacher and two students were invited to the competition award day to receive a special prize on behalf of the class. A year later we had the pleasure of taking 60 girls from the school on our London maths tour.

The Maths Daves and Davinas created by the year 1 maths class from Walthamstow School for Girls

3. Everybody loves seeing their homework on the fridge door
The Maths in the City project is produced and managed by us lot at TALL. We also design online courses, including The Number Mysteries, which is based on a book written by Marcus du Sautoy of the same title. This course includes an assignment option in which students write an example of maths in the city, which they can add to mathsinthecity.com once it has been marked. Here is an example on Umhlanga Pier, written by a South African student. Students of the Number Mysteries course appear to enjoy the opportunity to share their work in a public place and the project benefits from a steady stream of high quality examples of maths in the city from around the world.

Add your mathematical stories to mathsinthecity.com

4. Everybody loves a delightful and articulate student who is passionate about their subject
The lifeblood of this project has been the student volunteers who have helped to design the walking tours, lead the walking tours and engage with the public through our social media channels. A journalist from the Oxford Times was so charmed by one of our volunteers that I think he fell a little bit in love. Read his article ‘Oxford by numbers’ and judge for yourself.

“I would like to thank our guide for making the mathematical concepts very clear, and the tour very enjoyable”

These are our top four reasons why we got meaningful engagement with the public. Do you have other reasons that have come from your experience in public engagement? Please tell us by  commenting below or by dropping us a line on Facebook and Twitter.

(And when you’ve done that, keep your eyes peeled for the rest in our series of posts on our approaches to public engagement. Topics to come are; teaching/public delivery of complex material, community facilitation/the use of social media and the management/encouragement of volunteers. We’ll be announcing them on Facebook and Twitter.)

We’re working on a new online course on Microeconomics and have been looking for pictures to help illustrate the themes covered by the course.

It was surprisingly easy to find great Creative Commons licensed images in Flickr, some by the simple expedient of using the themes we wanted to illustrate as search terms.

This is what “supply and demand” returned:

Supply and Demand (http://www.flickr.com/photos/atencion/46862708/) / MaX . (http://www.flickr.com/photos/atencion/) / CC BY-NC-ND 2.0 (http://creativecommons.org/licenses/by-nc-nd/2.0/)

The Law of Supply and Demand (http://www.flickr.com/photos/storm-crypt/3479382935/) / Storm Crypt (http://www.flickr.com/photos/storm-crypt/) / CC BY-NC-ND 2.0 (http://creativecommons.org/licenses/by-nc-nd/2.0/)

Not only are both images beautifully shot, they help to illustrate the factors that affect the competitive market.  So, which aspects of supply and demand are being illustrated here? Submit your answers below and win the admiration of your peers.

As a prelude to announcing the competition winners, Maths in the City is happy to announce the launch of an updated website.

Visit the interactive map on our homepage and go on a mathematical tour of cities around the world. Join the adventure today and shine a mathematical spotlight on your city.

Amongst the top new features we’ve added are:

• New homepage: find maths in your city and around the globe using the interactive map

• Maths in the City competition entries: these sites are now visible. If you entered our competition, find yours and send the link to your friends and family

• Snapshots: this is a new kind entry that you can add to the map, see this page for details

• Rate Sites and Snapshots: you can now rate Sites and Snapshots using our new five star rating feature – log in to start rating your favourites

• “Recommended” content: gold icons indicate a Site or Snapshot that has been approved by a Mathemagician because of its high quality, see this page for details

• Improved image uploader: it is now easier to upload images into your Site or Snapshot

• Improved equation display: if you’re including mathematical equations in your Site or Snapshot, they will display better. For those of you who like knowing this kind of stuff, we’re using MathJax to support LaTeX

Join Marcus du Sautoy on a mathematical adventure in the city. Enter our competition and you could win great prizes including a subscription to Nature and even naming a mathematical object.

Open to all ages, competition entries need to show:
•    an interesting example of maths in the urban environment, or
•    a clear explanation of some maths you see in your city, or
•    a great way of demonstrating your mathematical idea on the streets.

Entries will become part of a virtual mathscape of cities around the world.  And finalists will be invited showcase their entry at an event in Oxford and meet Marcus du Sautoy.

Anyone is welcome to enter the competition, you can either enter individually or in a group, and the stories can come from any city in the world.

Tell us your favourite stories of maths in the city by visiting www.mathsinthecity.com.

The competition runs until noon 3 May 2011.

Marcus du Sautoy and his mathemagicians