I have been prevented from playing the violin or piano by a damaged finger, and yesterday saw a secondhand kora for sale in a local music shop. Since this instrument is played with the thumb and index finger of each hand, I couldn’t resist the temptation to buy it and give it a try. Sold as seen, I knew it was missing a few of its 21 strings. I soon found out that most of the strings were in the wrong slots in the bridge, and two were even on the wrong side of the bridge. Four or five of the top strings had been replaced by steel guitar strings. No matter. I started to try and tune it. This is when I discovered that most modern koras are made with tuning pegs like guitars. Not this one, which has the traditional animal hide tuning rings. Steep learning curve. After half a day or so, I reckoned to have 16 of the remaining 17 strings tuned to a decent approximation to E flat major. Apparently I should be aiming for F, but this instrument just isn’t interested in F major, so I let it have its way and settle in E flat. Now the 17th string (second lowest) I found would not tune up to the required B flat, and I put this down to the fact that it is made of a twisted pair of nylon strings, and is probably too heavy for that note. I must order a set of new strings and try to set the instrument up properly. Then comes the real challenge – learn to play it, even to a basic level.
I wrote to THE two days ago about the proposed destructive changes to the Universities Supperannuation Scheme. This is the letter I actually wrote, before editing. The published version will appear on Thursday.
Have we learnt nothing in the past six years about the difference between mathematical models and the real world? If you put garbage into a mathematical model, you will get garbage out. If you model the long-term viability of the USS on the ludicrous assumption that all UK universities go out of business tomorrow, why should anyone listen to you? Unfortunately, this is exactly what the USS is doing. This is pure mathematics, not economics, and the USS should leave pure mathematics to us pure mathematicians.
As a Trustee for several years of the London Mathematical Society, which celebrates its 150th anniversary next year, and hopes to keep going for another 150 years, I learned something about long-term viability. Of course you have to keep the nightmare scenario in the back of your mind, but you do not build your entire business model on it. Your business model must be built on prudent but reasonable assumptions, or else your business will not survive in the long term.
Ironically, the proposed changes to USS might actually bring about the nightmare scenario that the USS seem so concerned about. If, as seems likely, the scheme becomes so unattractive to new members that it becomes viable to set up a rival scheme, then this will eventually happen, and the USS will have dug its own grave.
The long-awaited book `The maximal subgroups of the low-dimensional finite classical groups’ by John Bray, Derek Holt, and Colva Roney-Dougal has just appeared in the LMS Lecture Notes Series. It contains, in marvellously complete form, with proofs, the material which appeared in Peter Kleidman’s PhD thesis (1987), without proof, on maximal subgroups of simple classical groups in dimensions up to 12, and extends this to the almost simple groups. The latter is what really makes the achievement so impressive. The book satisfies a long-felt need in finite group theory, and will be an important work of reference for a long time to come.
I believe in a university which
* teaches students by challenging them, not mollycoddling them;
* researches the fundamental questions about life, the universe and everything, not superficial questions about how to make money;
* administers itself to support teaching and research, not the other way around.
My attention has been drawn to this devastating article in the London Review of Books on the folly of the government’s move towards the marketization of HE.
The University of Birmingham has a very clever slogan, which it advertises widely, that is “Solving tomorrow’s problems today”. As a mathematician, I immediately thought of the possibilities of replacing these temporal references by arbitrary combinations of “yesterday”, “today” and “tomorrow”. As a slogan for our Government, how about “Solving yesterday’s problems tomorrow”? Or, as a slogan for mathematics, how about “Solving tomorrow’s problems yesterday”?
Write a expression in between signs in the usual way, but write the word latex immediately after the opening sign. Just for the fun of it, here is an example: This works equally well in posts or in comments.
In a time of rising unemployment, there has been much talk about what graduates need in order to get a (good) job, and what universities can do to help them. I leave aside the obvious impossibility of the task we are charged with, that is, getting more people into jobs, when the jobs simply don’t exist.
Talking to employers, it is clear that what they chiefly expect from graduates are an ability and willingness to learn, and flexibility. The actual topic of the degree is in most cases largely irrelevant, but a `difficult’ subject, like mathematics, is generally preferred.
Unfortunately, pressures on universities from outside, and therefore pressures on academics from university managers, tend to push in the opposite direction from the real interests of the students. Directives to provide detailed printed lecture notes, model solutions to all exercises, sample exams, etc etc all militate against our aim to teach students how to learn.
If we bow to the pressure to spoon-feed our students in this way, we let both them and society down. We may improve some largely meaningless statistics, and thereby our position in league tables, by so doing, but we will produce graduates who cannot think for themsleves, who cannot deal with a new situation they have not seen before, and who therefore cannot get the job they want, and think they deserve.
So, a plea to university managers: please stop interfering in things you don’t understand, like how to teach mathematics, and let us, the professionals, get on with the job the way we know works best.