STEP – Science, Technology, and Education in Pakistan

Of late, the National ICT R&D Fund has been in the news a lot and its performance (or lack of it) over the last several years has been a source of much concern for IT professionals and informed citizens like myself. Read the rest of this entry »

There can be little disagreement that Pakistan’s education system is rife with quirks. Not the least of them is the dichotomy of the four year and two years bachelor degree programs. Engineering education in most institutions consists of a four years bachelor program while many other programs, including programs in sciences, have traditionally had a two years bachelor degree. Simply put, this strange aberration should end. The education system in Pakistan needs to be unified into a sixteen-years bachelor degree, and the disparities that exist today when comparing a sixteen-years B.Sc. (Engineering) to sixteen-years BSc. + MSc. need to be addressed for the students who have completed their respective education. Read the rest of this entry »

Editors’ Note: The Atlas project team is seeking examples of significant scientific or commercialisation accomplishments in Muslim countries that have received major international acclaim or achieved commercial success. Scientists and technologists are invited to send in their nominations by August 31st, 2010, at the latest. Details are included at the end of the article.

The Atlas is a study (Atlas Brochure) that will explore the changing landscape of science and innovation across a diverse selection of countries with large Muslim populations in the Middle East, Africa and Asia, including in-depth case studies of fifteen geographically and economically diverse countries. It aims to draw important cross-country conclusions to help national policy-makers, international stakeholders, and development planners to chart the way forward. Working closely with partners in each of these countries, the project will chart the delicate interplay between science, innovation, culture and politics, and explore new opportunities for partnership and exchange with the wider world. Read the rest of this entry »

The following article is heavily influenced by Paul Lockhart’s brilliant article, ‘A mathematician’s lament’. I only hope to add my experiences as a Pakistani student to back his stance in the debate over Mathematics Education.

Throughout my life I have hated mathematics with a passion. I hated its rules and notations. I hated the fact that I had absolutely no say in whatever was going on in the class. I just had to sit there and listen to my math teacher go on and on about formulas, notations needed to write these formulas, practice questions which would help us memorize these formulas and eventually “practical problems” which were supposed to exhibit the relevance of these formulas in everyday life although even the eight year-old me could tell that these were merely the same practice questions loosely disguised in the most unlikely of social situations known to man. And frankly, I didn’t care. I didn’t care where x was, or how much older Mary was than her brother Mark or when train A would reach London. As far as I was concerned math was an obsolete science to which I didn’t want to contribute to and which, for the most part, didn’t really want me to contribute to it anyway.

Therefore it comes as a surprise to many people that I am currently a Computer Science major focusing on theoretical computer science, which is basically a branch of mathematics. I, who had once famously given a speech to my seventh-grade math class about the pointlessness of mathematics, am now the one trying to explain to other people the beauty of Erdos’ brilliant proofs. And it all started with the following beautiful proof of the infinity of prime numbers:

For any finite set  {p_1,p₂…p_r} of primes consider the number n= p_1..p_2..p₃…p_r +1. This n has a prime divisor p but this is not one of the {p_1,p₂…p_r}, otherwise p would be a divisor of n and the product  p_1..p_2..p₃…p_{r ,} and thus also of the difference n-( p_1..p_2..p₃…p_r) =1, which is impossible.  So a finite set {p_1,p₂…p_r} cannot be the collection of all prime numbers.

I first heard of this proof in the first lecture of a discrete mathematics course I took during my sophomore year at university. The instructor didn’t even write the proof down, with all its messy set notation. He just told us about the idea of putting the prime numbers together in a group and showed us what goes wrong if we assume the group to be finite. At first I thought this was one of those introductory shenanigans professors deploy in the first class to get students interested. How could something so simple be counted as math? Where were the fancy symbols and the list of variables with their definitions? Where was the list of steps used to reach the conclusion? Where were the ten similar questions I needed to solve at home for practice? This was simply a clever idea used to solve a problem. Surely, this couldn’t be math! But, as I have learnt in the past year, this is basically what math is: a set of simple ideas used to solve problems. Sometimes the problems can be simplified to older problems for which people have already come up with solutions. Sometimes ideas which have been used to solve a certain problem can be used to solve an unrelated problem. But the simplicity of the process remains intact. It is the ‘idea’ which is at the heart of all mathematics, and to come up with ideas you just need creativity (and maybe a pencil and a notebook).

If a course can change the path of a person’s life, then this discrete math course changed mine. In the course of nine weeks, I was introduced to the kind of math I hadn’t even known existed. For the first time in my life I didn’t feel like a robot while doing math. I actually had to think about the problems and figure out strategies for solving them. While I was introduced to techniques like induction and graph theory, for the most part my assignments and exams required me to come up with my own strategies based on these techniques and my own logical arguments and common sense. Math was like an elaborate game and finally I felt like it actually wanted me to take part.

So, this brings us to the central question: why did I, and countless other students, hate elementary and high school math? What needs to be done to make mathematics more interesting to students? Although I do not have any experience teaching mathematics, I do remember the reasons why I hated it so much and know exactly what eventually made me realize that I wanted to study a branch of mathematics as my major. For the sake of this article, I am going to ignore factors which affect all subjects alike and focus on why math has become such a hated subject.

Looking back at my years of struggling with high school math the first word that comes to mind is boredom. And this was not caused by a lack of interest in school because I was generally a very enthusiastic kid. I loved studying languages, history, and science. It was just math that I dreaded. And looking back at the way math is taught it comes as no surprise. While all other subjects are taught as an amalgamation of the history, foundations, rules and applications of the subject, math is mainly limited to the rules of the subject. Take a typical sixth grade science class. I remember learning about the effect of different factors on the rate of evaporation by placing different shaped beakers filled with water all over the school campus. What followed was a memorable class in which we all had mock “evaporation races” as we timed the beakers to see which one would lose its water first.It was only once we had made our own conclusions about which factors affected evaporation, that our teacher explained Brownian motion to us. She also mentioned factors such as surface area and wind-speed, which most of us had been able  to conclude for ourselves based on the observations we had made.

Now compare this to a typical sixth grade math class. Looking back, sixth grade was when some of the most wonderful mathematical concepts were introduced to us. It was in the sixth grade that we first encountered the idea of a variable and started to really analyze shapes. Statistics was introduced, and we started manipulating probabilities to get results which even now give me the feeling of being able to predict the future. But in the midst of all these amazing ideas, this is how a typical math class would go:

Teacher: An isosceles triangle is a triangle which has two sides of equal length. Okay?

Students: YES!

Teacher: So what is an isosceles triangle?

Students: A TRIANGLE WHICH HAS TWO SIDES OF EQUAL LENGTH !

And you can bet one of the questions on the progress test would be: “What is an isosceles triangle?”. In such a situation who would be interested in math? And these are not just two extreme examples I have mentioned to prove my point. Science that year continued to keep us hooked: we grew plants in inky water, caught insects in jars, experimented with mirrors and discovered the material we were supposed to learn, while in math we moved on to triangles which had no sides of equal length (I honestly don’t remember what they were called, though I think it begins with an s) and other lexical atrocities.

You may argue that science is an extreme example and that math just doesn’t have the exciting material needed to keep students hooked. While science teachers can use models, take their students outside or perform simple experiments to demonstrate their material, math teachers have nothing to interest a group of thirty kids. Not only do I disagree with this, I actually claim that it is the other way round and that it is the math teachers that have it good. While science teachers need extensive (and often non-available) funding to buy lab equipment and take their students out on field trips, all a math teacher needs are thirty pencils and notebooks. And how does he keep them interested? Well, he actually asks them to do some math. Do you remember the puzzle we probably all tried as kids in which we had to draw a house without lifting our pencils. That is just a simple example of a Eulerian path. And those complicated strategies for winning card games that our older siblings tried to explain to us were mostly simple applications of probability. The tower of rings of increasingly small diameters which we had to shift to another peg is the most common example given for recursive algorithms. The list of interesting mathematical problems which we solved willingly as kids is endless. Nim, Hex, magic tricks, and riddles in which we had to find loopholes in logical arguments are all example of the math we enjoyed as children and it is these problems which should be bought to the classroom to make math classes more interesting.

Another issue which I find with the way mathematics is taught, which is closely related to the first, is the extreme and almost exclusive emphasis on the utterly mundane aspects of mathematics. Take the isosceles triangle example above. Would it really have mattered if we had called the triangles, “triangles with two equal sides”? Maybe shortened to TWTES (pronounced tevtes). What’s important are the properties of these triangles. Instead of asking a child to spend time trying to memorize the pronunciation and spelling of this weird word, she should be asked to think about how they are made, and how the angles inside this triangle are related to each other. I am pretty sure if a child made a dozen different TWTES’ she would figure out most of their  properties for herself and she would actually enjoy the mental excursion of discovering these properties instead of hastily be given a list of them in the last fifteen minutes of class.

Admittedly, there are some terms and jargon that a student of mathematics must learn in order for the classes to be held smoothly and for the students to eventually take part in the wider mathematical discourse. But no other subject puts even half of the emphasis that math places on its lexicon. Take the example of chemistry. If a subject has the right to focus on terminology it is chemistry, with it’s multitude of  symbols, chemical formulas and specific reactions. But not once do I remember a chemistry teacher reciting the names of the elements along with their atomic symbols. Instead, we focused on the elements and their reactions and any time we needed help deciphering a symbol we could simply look it up on the huge periodic table taped to the classroom wall. Maybe that is what mathematics needs: a periodic table of shapes and functions which would be taped to the wall of every classroom. Then, children all over the world could forget about mathematical terminology and actually do some math.

And by ‘doing math’ I don’t mean the mindless repetition, or solving exercise problems at the end of every chapter. As a result of school mathematics, most people end up believing math is the application of known rules to problems that we know the rules can solve. That is the job of an accountant or a cashier or an insurance planner. A mathematicians  job is much simpler. He must come up with the rules that other people are to use. When faced with a problem, he is not told that it can be solved using the second trigonometric identity; that is what he must figure out. And while this is harder than simply applying a set of rules, the result of coming up with a solution is infinitely more rewarding. You can compare the two as the difference between the joy a child feels in having an adult place him on a bike and push him along, and the joy he feels when he races through the park himself. It is hard to teach him how to ride and it might take him ages to learn but all parents understand that the end result is worth it. Math teachers should definitely do the same with their students.

And if difficulty was such a major barrier, why doesn’t it stop teachers of other subjects from trying to get their students to appreciate the beauty of their fields? By the end of high school most of us have faced the toughest aspects of most of the other subjects. We have read Iqbal’s poetry and critiqued it with our peers. We have a deep understanding of how the major systems of the body work. We have built electrical devices and have made original pieces of art in a range of different mediums. Then, why is it that most of us only experience the joy of coming up with a true mathematical proof well into our undergraduate programs? Surely there is something wrong going on here.

STEP: Informed, perhaps, by your experiences as a student at MIT during the Vietnam War, you have spoken in favor of re-establishing student unions in Pakistani Universities. Could you briefly make the case for re-instituting student unions in Pakistan?

PH: Meaningful discussions on social, cultural, and political issues must be brought back to campuses. Young people are idealists; in fact, there is no other way for them unless they are brain dead. They naturally dream of what a good society is; a society that is way better than what they have inherited from their elders. So, it is perfectly healthy for students to have a self-image of being agents for positive change. Once aware, they soon realize that individuals count for little — only organized actions do. But organized actions require a culture of civilized debate. In my 36 years of teaching at Quaid-e-Azam University, I have never felt that rational, civilized debate with or between students is impossible. Of course, there have been exceptional situations, such as after the 1998 nuclear tests, but students will generally listen to the other side in a civilized way.
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Faheem was one of the first people I befriended in early 1971 on my return from my graduate studies in the States, a friendship that survived till he breathed his last. The reasons go much beyond our common interest in physics and physics education and even our common associations with the Physics Department of Quaid-e-Azam University and the Abdus Salam International Center for Theoretical Physics, Trieste, Italy, places where we frequently met. Perhaps the main reason was that we both were greatly influenced by the Black and the anti-Vietnam movements in the States and the broader anti-establishment student movement of the sixties.

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It was mid-October 1973 when, after a grueling 26-hour train ride from Karachi, I reached the physics department of Islamabad University (or Quaid-e-Azam University, as it is now known). As I dumped my luggage and “hold-all” in front of the chairman’s office, a tall, handsome man with twinkling eyes looked at me curiously. He was wearing a bright orange Che Guevara t-shirt and shocking green pants. His long beard, though shorter than mine, was just as unruly and unkempt. We struck up a conversation. At 23, I had just graduated from MIT and was to be a lecturer in the department; he had already been teaching as associate professor for five years. The conversation turned out to be the beginning of a lifelong friendship. Together with Abdul Hameed Nayyar – also bearded at the time – we became known as the Sufis of Physics. Thirty six years later, when Faheem Hussain lost his battle against prostate cancer, our sadness was beyond measure. Read the rest of this entry »

Editor’s Note: Pervez Hoodbhoy is head of the Physics Department at Quaid-e-Azam University and a prominent social activist in Pakistan. We conducted this interview through email correspondence over a few weeks, to get his perspective on the state of higher education in Pakistan. This is the first in a two part series. The second part is shared here.

STEP: According to recent estimates, less than half of Pakistan’s population is literate, less than half have access to basic sanitation, and the economy is strangled by debt. In context of this, what is the social relevance and value of the modern university, with its emphasis on research and higher learning, in Pakistan today?

PH: Pakistan’s social indicators are indeed abysmal. But no country can wait for everything and everybody to get up to speed before making universities. Nor should it, because that would essentially mean waiting forever. But we should remember that there is a difference in the purposes that universities serve in countries like Pakistan, and in advanced countries like the US. The latter have knowledge-driven economies, and universities function as the engines of progress. They are the fountainheads of modern science, and of new technologies that have changed the world more in the past fifty years than the previous ten thousand years.
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At this year’s International Science Olympiads, Pakistan’s team racked up the awards with seven bronze medals and two honorable mentions. The teams, selected by the STEM Careers Programme (SCP), participated in the International Biology (IBO), Chemistry (IChO), Mathematics (IMO), and Physics (IPhO) Olympiads. Congratulations to the bronze medal winners: Mahym Mansoor and Tayyaba Maqbool Malik in Biology, Saman Zia and Nayha Enver in Chemistry, Waqar Ali Syed in Mathematics, and Zain Ul Abideen Ali Khas in Physics. It is note-worthy that four of the six winners were women — note-worthy because the pool from which the girls were selected was far smaller than the pool from which the boys were selected. In all, 56 countries participated in IBO, 64 countries participated in IChO, 104 countries in IMO, and 72 countries participated in IPhO.

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A Pakistani robot participated in RoboCup 2009 for the first time in the competition’s history. The robot, named Saviour, was developed by a team of students from Ghulam Ishaq Khan Institute of Engineering Sciences and Technology (GIKI). Saviour is a rescue robot designed to find survivors in a disaster situation.

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Pakistan has been rated a ‘Rising Star’ in research multiple times over the last couple of years by ScienceWatch.com, a Thompson Reuters website which tracks trends and performance in research by analyzing its database of scientific papers and citations. The ‘Rising Star’ rankings are published every two months to acknowledge new entrants, by identifying the scientists, institutions, countries, and journals which have shown the largest percentage increase in total citations.  In the May issue of the ratings, Pakistan was named a ‘rising star’ in two areas, ‘Materials Science’ and ‘Plant & Animal Science’. Read the rest of this entry »

Editor’s Note: Since the establishment of the Higher Education Commission (HEC) in 2002, the higher education sector in Pakistan has undergone a transformation both in its size and its nature. Dr. Sohail Naqvi, the Executive Director of the HEC, has been at the helm of many of these changes. STEP’s student editor Mariyam Khalid recently sat down with Dr. Naqvi to learn more about the HEC and its mandate. In the second of this two part interview, the scope of the HEC’s mandate and its policy-making procedures are discussed. The interview concludes with Dr. Naqvi’s vision for the future of the HEC.

STEP: Do you think that the HEC has taken too much on its plate? It is directly involved in curriculum setting, hiring and firing professors, setting up distance education classrooms, and even assessing universities. Should the HEC delegate some of these tasks?

SN: We definitely should delegate some of these tasks and we are now actively involved in trying to distance ourselves from institutions of programs. Earlier, we got involved with so many of these things because nobody was doing them nor did we have any mechanism for them, for example, foreign faculty hiring. Actually, Faculty hiring should be done by universities as per best practices, where the universities themselves identify the qualified personnel, negotiate their salaries, and provide them incentives to join the faculty. Universities are fully capable of doing that but they were not doing it. Which is why we had to get involved in the execution of a lot of programs. The scholarship program is another example that comes to mind. But we are now shifting our focus. For example, we are shifting the scholarship program so that it now needs to be run by the universities as per best practices. So there was a need to build the capacities of the universities to perform best practices and have good governance. There are other small sized agencies that are not doing enough and are not widespread enough. For example, the HEC has not been involved in the domain of colleges at the moment, and we are criticized on various forums that we should be. But it is a capacity issue; the HEC can only do so much. It is an evolving organization as any living organization has to be. We took on the tasks that nobody else had done before. There were things we needed to do ourselves to get things started. We have designed a lot of these things so that they would start moving at an arm’s length over time and ultimately become independent entities away from the HEC. So the answer to your question is that yes, we could delegate but at times we need to build the organization to which we can delegate.

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Editor’s Note: Since the establishment of the Higher Education Commission (HEC) in 2002, the higher education sector in Pakistan has undergone a transformation both in its size and its nature. Dr. Sohail Naqvi, the Executive Director of the HEC, has been at the helm of many of these changes. STEP’s student editor Mariyam Khalid recently sat down with Dr. Naqvi to learn more about the HEC and its mandate. In the first of this two-part interview, the performance of the HEC, the local relevance of research and other key issues regarding research in Pakistan are examined.

STEP: You have worked as a professor, as a dean, as an industrial entrepreneur and now as a policy-maker in the government. Which of these roles did you find the most rewarding?

SN: I find the one that I’m doing now the most rewarding because of its ability to influence so many factors pertaining to education in Pakistan. But I do miss the university environment, especially the interaction with students. I’ve always loved teaching and being in the classroom. In fact, I sometimes catch myself talking to my colleagues as if I’m lecturing them! So that’s definitely something that I do miss. There is a freedom in being a professor that is simply not available in any other job. When I’ve had it with administration, I can always go back to being a professor. Read the rest of this entry »

IEEE INMIC 2009 is being organized once again, this time by the folks at MAJU and UET, Taxila:

IEEE INMIC is held every year and INMIC 2009 will be the 13th in the series. INMIC has become Pakistan’s flagship technical conference with a broad scope, thereby inviting interest of a large audience. The conference targets research presentations by academic and professional researchers, and also includes a series of tutorials, enabling participants to learn about the latest trends in technology. Research contributions are expected from the participants, covering various disciplines under IEEE’s domain, including technical papers, panel discussions, tutorials and project exhibitions. For all submitted papers, the review criteria include significance of the problem, novelty, clarity, completeness, and accuracy.

As a venue for research, a multi-topic conference like this one is necessarily going to have substandard work: researchers with good work aren’t going to publish here because the audience will not be able to fully appreciate their contribution, and the related scientific sub-community (who would cite their work) aren’t going to be in attendance and therefore won’t be aware of the research. Read the rest of this entry »