Posted by martin on
Sunday, 13 July 2008 at 21:12
I have just spent a week at the National Mathematics Summer School in Birmingham. Forty-two fourth/fifth form students are invited, the idea being to expose them to a broader range of mathematics than they get in school. Six sixth-formers are also invited; as well as being given some maths of their own, they are expected to look after a group of the younger children. I was at the summer school myself in 2001, and as a senior in 2002, but haven’t been since.
This week had a strong geometrical flavour - four of the seniors’ five sessions had a geometrical or topological theme, and there was much building of models of solids, either from plastic kits or origami. I gave the seniors a talk on hyperbolic geometry - a change from the Euclidean geometry I usually do at olympiad training camps. I think it went pretty well, and managed not to be too hard for them. I felt like I had not much to do overall at the camp, despite there being surprisingly few permanent staff. Still I enjoyed it, and it reaches a lot more children than the formal Olympiad training scheme.
Since the summer school finished on Friday, I have been staying with my aunt in Hove. I visited the magnificent Brighton Pavilion, the hilly town of Lewes and Seaford, on the sea. Tomorrow I am going on to France.
Tags holiday, imo, nmss, teaching, travel
Posted by martin on
Saturday, 07 June 2008 at 13:11
I had exams for the past week. For the past few weeks, I was doing not much but revising, although I went to Oundle two weeks ago for an IMO training camp and the final team selection. I did another geometry problem session, which was not as good as my one at Trinity because I had less time to prepare due to exam revision and because I had already used lots of my favourite questions on the first sheet.
I had four exams this week. All are essentially the same, and you are free to choose from 38 questions on all the different courses in the year. Of course noone has taken anywhere near all the courses - I took 12 and revised 9. In the end I did an average of five questions on each exam; I might have liked to do a bit more, but that is more than adequate for a first.
With exams over, I have a couple of weeks until the results with nothing in particular to do.
Tags cambridge, exams, imo, teaching, trinity, tripos
Posted by martin on
Thursday, 10 April 2008 at 20:03
I have been back in Cambridge for a week now, having come back for the Maths Olympiad training camp which ran last Thursday to Monday. My role was to discuss things with the school-age students when they needed someone with more mathematical experience, and especially to hang around in problem sessions and provide hints. Of course that assumes that I can do the problems myself - sometimes greater mathematical maturity makes that easier, sometimes it has got harder because I am out of practice with Olympiad style problems.
I also took a session on Euclidean geometry, the first time I have attempted to teach a group of people maths. This was quite easy teaching, because mostly I just had to give out a sheet of problems and let people try them. (I have collected up a couple of thousand problems from the IMO training I have gone through over the years, so I had plenty to choose from.) I did start off by spending about 10 minutes revising the basic facts about Euclidean transformations, which would have been familiar to most people, and then showing them one particular nice transformation which noone seemed to know (despite it being quite useful - I even used it in the 2005 IMO). My attempt to prove the properties of this transformation interactively was not too successful, as people proposed a different proof from what I knew, and I was not fast enough to keep up.
I now have two weeks in Cambridge until term starts. This weekend I am going to the London Lindy Exchange.
Tags imo, lindy, teaching