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SUMMING UP WITH A SMILE

'Mathphobia' is common in schools, but international experts at the 'Life of mathematics' experts at the 'Life of mathematics' meet say maths can be fun. G.S. Mudur reports


Abstract and difficult, dreary and esoteric, page after page of symbols and equations - that's how lots of students in schools and colleges across India will most likely describe their views on mathematics. 'Mathphobia is fairly widespread, usually takes root early in school and invariably influences career choices.
Well, as a recent initiative at St. Stephen's College, New Delhi, is demonstrating, the key to treating 'Mathphobia' may lie in taking time off from the curriculum to demystify the jargon of mathematics, convey its excitement and highlight its unexpected importances to life. A team of maths, physics and economics teachers at St. Stephen's college has set up the ICICI Center for Mathematical sciences to promote. The Centre will promote study, appreciation and application of mathematics among students as well as teachers.
"One goal is to enrich academic life and to boost the career prospects of students and faculty," says Dr. Dinesh Singh, professor of mathematics at the University of Delhi and director of the Center. "We're also trying to stem the declining interest in mathematics, which is actually a part of the broader trend of students losing interest in the pure sciences ," he says. To and extent, the Centre may already have achieved that goal. At least two final-year undergraduate mathematics students who had secured admission to the prestigious MBA programme of Indian Institute of Management in Ahmedabad, turned the offers down to pursue careers in mathematics and physics.
In an attempt to combine mathematical knowledge with what Singh says is "a more holistic approach to the subject", last week the Center kicked off a three-week long lecture and discussion programme called 'A Life of Mathematics'. Three top mathematicians from the US and Canada are visiting the college to deliver a series of lectures and talk about current trends in undergraduate mathematics education, the best ways to teach the subject and the history and future of mathematics.

In addition to the participants from the host institution, St Stephen's and from Delhi University, postgraduate students and faculty from Banaras Hindu University, St Xavier's College, Mumbai, IIT Mumbai and Sardar Patel University of Gujarat are also attending the conference. Some of the talks covered hard-core mathematics, while the panel discussions were wide-ranging and flexible affairs, with the Indian teachers, their students, and the visiting faculty sharing their respective experiences on mathematics.
"Mathematics is a kind of miracle that no one fully understands," said Professor Henry Helson from the department of mathematics, University of California, Berkeley, talking about the meaning of mathematics. "It is based on abstract concepts that originate in the human mind, but that can be used to describe the modern world, "said Prof. Helson.

A major debate among the teachers is how best to handle students fear of the subject .Professor Peter Fillemore from the department of mathematics at the Dalhousie University in Canada addressed in a special talk on teaching mathematics. "We're only facilitators," said Prof. Fillemore. "Students need to have a desire to learn mathematics, either for itself or to do something else with it in the real world," he said ." Sometimes we have to get away from the curriculum and speak about mathematics more generally -perhaps highlight applications of mathematics that students are not aware of, show them that mathematics is relevant to things that at first glance don't really seem connected to it." Prof. fillemore believes that it is around grade 6, equivalent to class 6th in India, that students begin to dislike mathematics. "It's a crucial time for students, a point at which they decide whether they're going to stick with mathematics or not," he added . Indian mathematicians agree that it's while in school that students get turned off by mathematics.
"When students are in class 6th, they have to make a transition from arithmetic to algebra, which involves abstract concepts," explained Dr. singh." Algebra involves the manipulation of symbols. While some students can handle the manipulation of numbers in arithmetic easily, the new manipulation of symbols becomes a problems," he said. Most Indian schools do not recognise that some students could take more time, perhaps another two or three years, before they can appreciate the symbol manipulation associated with their algebra lessons. "So mathematics turns into something merely to help one score marks," said Dr. Sanjeev Agrawal, from the department of mathematics at St Stephen's College and a senior fellow at the ICICI Center for Mathematical Sciences. "Unfortunately, the answers to problems become all important, rather than the concepts or the logical process that leads to those answers," he said . In an attempt to expose students to the importance of mathematics the Center has also been pursuing a project entitled 'Mathematics in the Modern World', which is to be sponsored by the department of science and technology. The project is designed to demonstrate the applications of mathematics in Eveready affairs -from the reproduction of images beamed via satellites to the acoustics of Indian drums to the mathematical concepts that connect shoelaces to DNA.

For instance, Dr. N.Raghunathan-of the department of economics, St Stephen's College, and also the deputy director of the Centre- and Dr. Sanjeev Grewal - also of the department of economics - have worked jointly with students on a project to show how mathematics can be used by bidders at an auction to devise special bidding strategies. Special bidding strategies. Dr. Bikram Phookan of the physics department, along with a student team, showed how mathematics is useful in radio astronomy. St Stephen's College authorities hope that the activities at the Centre, besides offering its won students some challenging assignments or insights into mathematics, would improve their career prospects and also be emulated elsewhere. As Dr. Anil Wilson, St. Stephen's principal, put it, " The task has begun well. Let's hope it acquires an infectious nature and spreads far and wide."

MULTIPLE DIVIDENDS

For aspiring students, there's now another incentive to become a stephenian. The ICICI Centre for Mathematical Sciences at St Stephen's College also runs a two-year part-time certificate programme in mathematical finance for students enrolled in its regular undergraduate courses. Around 20 students, all pursuing various undergraduate courses at St Stephen's College , were selected this year from around 40 candidates who applied. The application were enrolled variously in undergraduate mathematics, physics, or economics courses. The rigorous two-year programme deals with investment theory, portfolio analysis international finance management, corporate finance and numerical techniques in the financial world. The credit-based programme is not linked in any way to regular undergraduate courses. All it fetches students is a certificate. Yet it promises to boost their career prospects. "The market recognises the programme," says ICICI Center for Mathematical sciences director Dr. Dinesh Singh. The programme involves several weeks of internship like Citibank or ICICI and other financial institutions. Some prospective employers are happy enough with the students to offer them employment right after graduation.