Archive for March, 2009

Complete documentation of how a research problem is solved

March 19, 2009

Via Abi, I learn that the massively collaborative math project that I wrote about a while ago has reached successful conclusion:

… the mathematical result of the project has far exceeded what I thought would be possible in a mere six weeks. I deliberately set a rather modest aim: to explore just one approach to DHJ(3). In retrospect, this seems not to have been the right decision, though it may have been quite good as a starting point, since in the end we moved off into other directions that were more fruitful (not that I completely rule out a proof along the lines first envisaged, especially given some of the tools that we have now developed). Anyhow, these initial restrictions were quietly abandoned, and it looks as though we have proved a stronger result than seemed remotely feasible then. (More precisely, if we had managed to get my initial suggestion to work, it would probably have been unpleasant, though not impossible, to generalize.)

Tim Gowers, the author of the post, goes on to discuss the pluses and minuses of the experience, during which, he has this interesting point to make:

… as several people have commented, it has provided, for possibly the first time ever (though I may well be wrong about this), the first fully documented account of how a serious research problem was solved, complete with false starts, dead ends etc.

Obviously, some areas are more amenable to such documentation than others! In any case, the comments on the post go on to discuss ways in which the experiment can be scaled and repeated — all of which I find very interesting! Take a look!

Highlights from InsideHigherEd today

March 17, 2009

A college President returns to the classroom and finds that teaching is time consuming:

It seemed like a very good idea: re-enter the classroom to remember what education is truly about, to test out some of my hypotheses about our students and to assimilate new ways to provide them with the best educational experience possible. How hard could it be, I surmised.

Very hard is the answer. Much harder than I thought.

When the first installment of this series appeared, some readers commented that teaching takes time — both actual time (in and out of the classroom) and psychic time. Presidents have busy schedules, with lots of travel and multiple commitments off campus. The current economic situation has heightened the presidential burdens. Just getting updated on the stimulus package and recent amendments to the Higher Education Act is almost a full-time job.

Despite my best efforts to stay ahead of the students and complete the reading and class preparation well in advance, I find it a challenge. I prepare later than I would like (sometimes the night before, or even the day of, class). Before I actually prepare, I am concerned about my impending lack of preparation!

As if the pre-class anxiety were not enough, I have post-class anxiety when I self-reflect on what I could have done better. I blame my lack of preparation for some of the defects I observe in the course, although to be fair, when I was a full-time academic, I assumed similar blame when I had plenty of preparation time.

David Domke gives some time management tips — to manage research and teaching — two activities both of which are very time consuming:

Schedule them. If you don’t schedule them, they don’t happen. As a faculty member, I schedule my research time and personal activities, to make sure they happen. Otherwise they won’t.

Do different things on different days of the week. I have found that I am best when focusing on one primary type of work task a day. That is, if I teach on Tuesday then I probably won’t be much good as a researcher that day. For me, Mondays and Fridays tend to be days that I spend doing primarily research and committee work.

Believe that you will actually be a better teacher and student when you do take time to immerse yourself in what is highly important, but not (as) urgent. I’m entirely convinced that when I prioritize occasional pockets of personal time I enrich my teaching and research because my mind and energy are renewed.

If we make sure that we spend quality time focused on important matters that seem less urgent, we all benefit.

An inspirational story for Monday morning!

March 16, 2009

ScienceWoman on two fairy-godparents who helped her find her calling:

So out of the ashes of a rash, ill-planned entrance to grad school, a phoenix emerged 7 years later with a Ph.D. Crucial to allowing that happen was the support of good-hearted, insightful and resourceful people in positions of power. They recognized that in this young woman making all sorts of mistakes there was a good scientist struggling to get out, and they went way out of their way to help me succeed. Someday I hope I can pass along the favor.

A nice one!

The Indian schooldays

March 15, 2009

One of the earliest novels that I reread was an abridged version (in Tamil) of Tom Brown’s Schooldays. One of the fascination of the Harry Potter series for me, again, is the school life described therein. Remembrance of my own school days brings to my mind many colourful characters — several of them worthy of a place in a nice schooldays novel, surely. So, I am with Pradeep Sebastian when he says:

It’s the kind of anthology I relish and connect with personally: essays, stories and poems about schooldays in India.

What is more, Sebastian’s recommendation of the anthology is very tempting too:

Palash Mehrotra chose these pieces to reflect themes that run deep in writings about school life and growing up: nostalgia, cruelty from teachers and students being cruel to each other, burgeoning sexuality, growing up blues, conflict with parents, class hierarchies if not caste, loneliness and miseducation. Recess is good fun and demands an antho of college days.

May be I should drop by a bookshop this afternoon!

A bookseller retires

March 15, 2009

Ram Guha writes one of the very moving tributes to Mr. T S Shanbagh of Premier Bookshop in Bangalore (which, I probably visited only once, and I now forget to get which book):

Fortunately, I was not due to travel anywhere in the fortnight after I heard the news. I went to Premier the next day, to find the owner almost as stoic as I had been told he would be. He rehearsed his reasons for retirement, but when I found a book to buy (Simon Winchester’s essay collection, Outposts) he said, with some emotion: “I will not let you pay for this.” When he insisted, I asked only that he inscribe the book for me.

When I went back the next day, Mr. Shanbhag had regained his composure. I bought some books and paid for them, and he made me sign some copies of a book I had written. He had, he said, a week more to run, before he put down his shutters and put himself in the hands of the eye surgeon. By now, word of his closure had spread. Every day the number of visitors grew. The great mound in the middle of the shop became shorter and slimmer. The top layers on the side-shelves were peeled off by paying customers, to reveal books published in the 1980s and before, that had lain buried, unseen and unsold.

Take a look!

HowTo: handle your first few teaching assignments

March 15, 2009

Over at Inside Higher Ed, Rob Weir has some tips and a few pointers to other online resources:

How on earth do you prepare to teach students you don’t know a course that isn’t yours? The basics:

* Relax.
* Don’t reinvent the wheel.
* Ignorance can be bliss.
* Say goodbye to grad school.
* Haul blocks.
* Black and white goes with everything.
* Ratchet up, not down.
* Function follows form.
* Be clear and fair. (The rest will follow.)

Scientists, risk aversion and university teaching

March 14, 2009

This morning, I linked to one of the pieces by Richard Felder on the conflicting demands on the University teachers with respect to research and teaching:

… requiring every new engineering professor to be first and foremost a researcher has become standard academic policy in the past several decades, with dramatic effects on every aspect of academia from the makeup of the faculty to the structure and content of courses and curricula. You might presume that there were compelling theoretical or empirical reasons for so many universities to adopt a policy with such profound ramifications, and that there must be equally compelling arguments for maintaining the policy.

You would be wrong. The usual justification for trying to make all professors researchers is the argument that teaching and research are inextricably linked, to an extent that the first cannot be done well in the absence of the second. This argument is a strange one. Its proponents – usually academicians, trained in scientific method and the rules of logical inference – offer it with unbounded conviction, passion, and a total absence of evidence. They argue that only researchers are aware of recent developments in their field, so that courses taught by nonresearchers must be irrelevant or obsolete. They add that nonresearchers whom students rate as good teachers must be merely “entertainers,” providing style without substance. When challenged to produce some evidence for the linkage between research and teaching, they name professors they know who have both admirable research records and teaching awards, which is like claiming that you can only be a world-class organist if you practice medicine in Africa and pointing to Albert Schweitzer to prove it.

In this essay I want to take a closer look at the purported linkage between teaching and academic research, to see how it stands up to the tests of common sense and educational research. I will argue that it stands up to neither.

While I did find Felder’s arguments about the teaching versus research dichotomy persuasive, it still was not clear to me as to why these conflicting demands came up in the first place.

Coincidentally, I am reading Partha Dasgupta‘s Economics: A very short introduction in which I found an economist’s explanation as to why University teachers are expected to be researchers:

The rule of priority is ingenious, in that it elicits public disclosure of new findings by creating a private asset from the very moment a scientist relinquishes exclusive possession of the discovery. In Science, priority is the prize. In the words of the biologist Peter Medawar, it awards moral possession of discoveries to winners, even though no on obtains legal possession of them.

But there are problems with the rule of priority. It places all the risks that are inevitable in R&D firmly on the shoulders of scientists. This can’t be an efficient systems if scientists, like lesser mortals, are risk-averse. It would seem, after all, that in order to encourage entry into Science, scientists should be paid something whether or not they are successful in the contests they choose to enter. It is in this light that Kenneth Arrow’s remark, that ‘the complementarity between teaching and research is, from the point of view of economy, something of a lucky accident’ assumes its full significance. That ‘complementarity’ explains why so many scientists are employed in universities, and it explains why in recent centuries universities have been the place where some of the greatest advance in science have been made. Tenure in university appointments, a much debated feature of employment contracts, is a way society ties its hands not to interfere when a scientist has reasons to follow one research lead rather than another and other people have reasons to disagree with the scientist.

By the way, though I knew about Dasgupta’s book and blogged about it too, it was only a few days back that I finally managed to pick a personal copy for myself; it is a must-read; and, at Rs. 150 (that is how much it cost me), this probably is the cheapest and the best among the many popular books on economics in the market at the moment — don’t miss it.!

Revisiting classics: Vegard’s law

March 14, 2009

A post of mine on Vegard’s law is posted at Materialia Indica — have fun!

Times for teaching and research

March 14, 2009

How much time does teaching and research take? Here is an answer (by Richard Felder in his must-read piece The myth of the superhuman professor):

It is no secret that research is a major time sink. It takes time – preferably in large uninterrupted blocks – to define problems, generate support, collect, read, and understand all relevant published work on the topic, plan a method of attack, make false starts and wander down blind alleys, wait out the inevitable unproductive periods, clean out logical flaws or weak points, replicate experiments, explore possible consequences and applications of results, write papers, and give seminars. Doing all that is under any circumstances a full-time job; doing it well enough to gain national recognition – now the principal criterion for promotion and tenure almost everywhere – requires an intensity of effort that tolerates few distractions.

That excellent teaching takes just as much time and intensity of effort is not as well appreciated. Consider the preparation of lectures. Most course notes and texts are written from the point of view of someone who already understands the concepts; the trick is to find a way to make the ideas clear to someone approaching them for the first time. Just stating a concept is likely to be useless. To make it comprehensible to most students, the instructor must first provide examples to establish relevance and motivate interest, then imbed the concept in a web of alternative expressions and visual representations, and finally provide more examples and participatory exercises to solidify understanding. Finding a way to do all that for just one relatively straightforward concept can take hours or even days – and a course contains lots of concepts.

Making up good problems is another time-intensive chore. Students almost never learn anything nontrivial in formal lectures; they only start to get it when they try to solve problems. For true learning to take place, however, the problems must vary in scope and difficulty – some drilling basic concepts, others integrating new and prior material, and still others challenging the problem-solving skills and creativity of the best students. Relatively few textbooks offer problems that provide the necessary variety and scope; the burden on the instructor is to collect problems from several sources and to make up and work out solutions to others. Doing so takes immense amounts of time.

The entire piece is very interesting, relevant and very readable. Take a look!

PS
: Hat tip to my colleague Rajesh for the pointer to the piece!

On the relevance of paleo-climate studies

March 13, 2009

Today, I heard a nice lecture by Prof. George Philander — titled How paleo-climate studies can improve global warming forecasts? (pdf of the poster for the talk) — delivered at the Centre for Atmospheric Studies, IIT-Delhi.

The talk was very exciting — why wouldn’t it be? I got to hear about the times when India was an island and about the times when it came and hit the Asian land mass to give rise to Himalayas; I got to hear about the special place that Cape Town and its flora occupy in the plant kingdom; I got to hear about the ice ages, about the times when the earth’s rotation axes where differently tilted, and about the times when Dinosaurs roamed the planet and no ice was ever present on the poles.

Fortunately for me, a nice summary of the presentation is available at Prof. Philander’s webpage — specifically, the left panel, and the link to the preprint of Federov et al on the Pliocene Paradox (submitted to Science) on the right panel. While you are at it, you might also enjoy the piece titled Sextant to Satellite (on the right panel).

By the way, some more papers/preprints are also available at this page of Prof. Philander; and, some more are here!

Have fun!


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