education

The Mitr

Experiment in The Classroom

“The experiment is already on, Sir! It is my personal experience that the story is a wonderful magic pill that helps to establish rapport between the pupils and the teachers. Those very boys who were not prepared to listen to me on the first day and who had unnerved me with shouts and catcalls, have become quiet since I started telling them a story. They now have a sort of affection for me. They listen to me and sit as I ask them to. I don’t have to shout at them to keep them quiet. And they don’t leave the school even after it is over!”
via| Diwaswapna

Hope that every classroom would be like that, where the children like to come and don’t like to go home…

The Mitr

Drugs and Education

“Education is not getting people jobs in the state and that hurts the self esteem of the youngster. The poor quality of our education system is completely out of tune with the job market. Given their easy supply in the state, drugs become the first crutch of support for all the alienated youngsters floating around,” the doctor continues.
via Tehelka

The above article is on the grim situation of drug abuse among the youth in Punjab. Poor quality of education and lack of suitable jobs afterwards is one of the reasons cited for this, others include proximity to Afghanistan and Pakistan, huge influx of capital after the Green revolution.
Just an afterthought, isn’t education itself like a drug? Let me elaborate on what I mean to say. Drugs are supposed to enhance your mental state, they cater to our so called “pleasure centres” in the brain. And they are also supposed to inhibit certain things that we might do naturally. Doesn’t education also do the same. Does it not hinder many of the natural things that we would have done if not ‘educated’? Maybe the current education system places us on highs “meritocracy?” that the plights of the fellow humans are not supposed to affect us! If someone fails in the exam, it is to our advantage at times, as there will be less competition for the resources that are limited, we are told! Thus we are slowly de-sensitized from being human, riding on the high that we get from our personal success. But it is not limited only to us, it is a social drug, not only your own, but your parent’s and relatives and friends’ pleasure centres are also excited. And they would say we have a smarty amongst us. This is what keeps us going forever in pursuit of further education and that at expense of others. But is it not natural, if they don’t perish you won’t survive. And by the time you are fully educated, you get a decent job, you marry, have kids… and the cycle repeats itself, you tell the same things to kids.
So education in the current  is like a mass hallucination, which goes from generation to generation, spread over both time and space, legitmising ills spread in the society…
 

The Mitr

Reason and Faith – Misconceptions in Science Education

Reason does not work in matters of faith. But it may have a chance at clearing misconceptions.
via Tehelka

Truly so. In case of my field of study, namely science education research, it may be the other way round. The classic studies in science education aim at identifying the misconceptions that the learners have regarding a particular subject and then finding a mechanism by which they could be addressed.
This was a very simple but very basic presentation of  what most studies try to achieve, though the methodology may be different. There are some studies which present us with a conceptual framework so that all the responses and the problems with the learners can be seen in light of a theoretical construct. This they say will enable us to make sense of what we see in the classrooms, and what is present as representation in the learners mind. What I think they are trying to say is that we need to get to the conceptual structures that lead to formation of the misconceptions.
Now mind you that many of these misconceptions in science are very stubborn and people are very reluctant to give them up. The reason may be that many of these misconceptions come from direct factual experience in the real world. And from what I know about Philosophy of Science, we might want to make a case that all science is counter-intuitive to our everyday experience. This would explain why misconceptions in science arise. But would this case explain all the known misconceptions?
Let us do some analysis of how a particular misconception might arise.There can be two different reasons for a misconception to arise, if we adhere to deductive logic. That is to say we assume that we have a set of starting statements that are given, whose authenticity is not questioned. And from these set of statements we make certain deductions regarding the world out there. Now there can be two problems with this scenario, one is that the set of statements that we are taking for granted might be wrong, the other is that in the process of deduction that we have followed we made a mistake. The mistake is learnt only when the end result of our analysis is not consistent with the observations in the real world. Or it might be even the case that the so called misconception will lead to a correct answer, at least in some cases.  In these cases we have to resort to more detailed analysis of the thought structure which lead to the answers. Another identifying characteristic of the misconceptions is presence of the inconsistencies across different areas known to the learners. Whereas they might get a particular concept clearly and correctly, in applying same thing for another concept they just might revert to a completely opposite argument and in doing this they do not realise the inconsistency.
We will be clearer on this issue when we talk with a few examples. Suppose that we have a scenario in which we are trying to understand the phenomena of day and night, its causes and consequences. A typical argument in our class goes like this:

How many have seen the Sun set?

Almost all hands would go up, then comes the next question:

How many have seen the Sun rise?

Almost same number of hands go up, excepting a few, who are late risers like me. Some of the more intelligent and the more knowledgeable would say,
“Wait! Sun doesn’t rise and set, it is the Earth that is moving, so it causes the apparent motion of Sun across the sky, the start and end of which we call as day and night. So in conclusion the Sun doesn’t rise and set, it is an illusion created by motion of Earth.”
To this all of the class agrees. This is what they have learned in the text-book, and mind you the text-book represents truth and only truth, nothing else. It is there to dispel your doubts and misconceptions and is made by a committee of experts who are highly knowledgeable about these things. Now let us continue this line of reasoning and ask them the next question in this series.

Does the Moon rise? If so, does it rise everyday?

The responses to this question are mixed. Most of them would say that it does not rise, it is always there, up in the sky. Some would gather courage and say that it does rise.

Does the Moon set?

Again to this the response is mixed, and mostly negative. Most of them are adamant about the ever presence of the moon in the sky. The next question really upsets them

Do the stars rise and set?

Now this question definitely gets a negative response from almost all of them. Even the more knowledgeable ones fall. They have read different parts of the story, but have not connected them. They tell you the following: “No the stars do not move, they are there all the time.” They also tell you that there is something called as the fixed stars and this is in the text-book, which cannot be wrong. And when asked:

Why are we not able to see the stars during the day time?

They tell you “Of course you cannot see the stars during the day time. This is because our Sun, which is also a star, is too bright and the other stars too far away and hence are dim. So our Sun’s brightness, overwhelms the other stars, and hence they are not visible during the day time, but they are there nonetheless. In the night time, since the Sun is no longer visible, the stars become visible. Have you never noticed that during the evening twilight the stars become visible one by one, the brighter ones first. Whereas in the morning the brightest are the last ones to disappear.”
Of course, the things said above and the reasoning given sounds good. So much so that the respondents are convinced that they understand how things work, and have an elaborate reasoning mechanism to explain the observed things, in this case the formation of day and night and appearance / disappearance of stars during night and day respectively.
You ask them:

Don’t you think there is a problem with what you have just said?

“Where is the problem?”, they tell you. “We just explained scientifically how things are in heaven.”
Then you open the Pandora’s box,
“Well you have just said that the Sun doesn’t move really, it is the Earth that moves, and hence we see the apparent Sun rise and Sun set.”
Then they say, “Yes, that is the case. The Sun doesn’t move, but the Earth does.”
You ask, “How do you know this? Do you see that the Earth is moving?”
They say, “The textbook tells us so ” Some of the more knowledgeable ones say that “Galileo proved that the Earth moves and not the Sun. Since we are on Earth, we see only apparent motion of the Sun.”
You say: “But wait, just now you said that the Moon does not move, it is always in the sky. Also you said that the stars do not move, they are there all the time. Now if the Earth moves, then all these bodies should also move, if only, apparently.Then the stars must also move, just like the Sun does, do not forget that Sun is a star too! So other stars should also just set and rise like the Sun, and so should also the Moon!”
Or you can argue just the opposite: “I claim that it is the Sun that moves, Earth does not move. Isn’t it a lot more easier to explain this way, why we do see the Sun moving, because it moves. And we anyway do not see Earth moving! How will disprove me?”
Then the grumbles start. They have never thought about this. They knew the facts, but never connected them. This lead to the misconceptions regarding these things. They were right in parts, but never got a chance to connect the dots, metaphorically speaking.The reason for these misconceptions is the faith in the text-books, but if the text-books fail to perform the job of asking them the right question, where the reasoning alone can get rid of many of the misconceptions.
If we choose the alternative question, of challenging them to disprove that the Earth is stationary, almost most of them are unable to answer the question of disproving that the idea that the Sun moves and not Earth. They would suggest that we can see this from the satellite in the sky (Can we really?).
Most of us take the things for granted and never question many (or as in most cases, any) of them. And many times the facts are something we do not question. We say that “It is a fact.” This statement basically posits that the information which we think is out there can be unquestionable. But there are many flavours of the post-modern philosophy which challenge this position. They think that the facts themselves are relative, that is to say that one culture has different science than another one.  But let us leave this, and come back to our problem of the stars and the Sun and Moon.
Lets put out the postulates for the above arguments and try to deduce deductively the results that were obtained.
Claim 1: Sun doesn’t move.
Claim 2: Earth moves.
Observation 1: We see the Sun moving across the sky daily, it rises and it sets.
Explanation 1:  Since the Earth moves, and the Sun is stationary, we see that Sun moves apparently. This apparent motion of the Sun is seen as the Sunrise and the Sunset by us. This is what causes the day and night.
But we can have Observation 1 explained by another set of claims, which is exactly opposite, namely, that the Earth doesn’t move but the Sun moves.
Claim 3: The Sun moves.
Claim 4: The Earth does not move.
Explanation 2: Since the Earth does not move, and the Sun does, we just see the Sun passing by in the sky, around the Earth. This causes day and night.
We see that Explanations 1 and 2 are both valid for Observation 1, if the claims 1 and 2, 3 and 4 are true then the respective deductions from them, in this case the Explanations 1 and 2 respectively are also true.So in this case the logical deduction is correct, provided that the Claims or assumptions are correct. But this process does not tell you whether the claims themselves are true or not. But both set of assumptions, cannot be true at the same time. Either the Earth moves or it does not, it cannot be in a state of both. If at all we had an explanation which came from these assumptions which did not correspond with the observations, but was logically deducible, then we can question the assumptions or premises as philosophers call them.
Of course, the things said above and the reasoning given sounds good. So much so that the respondents are convinced that they
understand how things work, and have an elaborate reasoning mechanism
We can have one example of this type.
Assumption 5: Stars do not move, there are so called “fixed stars”.
Assumption 5: During the day time the Sun is too bright, as compared to the other stars.
Now in this case combining Assumption 5 (A5) with Observation 1 (Ob1) we would get the following:
Explanation 3: The stars are too dim as compared to Sun, hence we cannot see them during the day time, but they are present. Hence they do not move.
In Explanation 3 (E3) above the deduction has a problem. The deduction does not follow from the assumption. This is the other problem in which we talked about above.
Most of the people who would suggest these responses have mostly no background in astronomy. Even then the basic facts that Earth goes round the Sun and not the other way round are forced upon them, without any critical emphasis on why it is so. Neither are they presented at point with the cognitive struggle of another view point, namely the geo-centric view. So presenting the learners with opportunities that will make them observe things and make sense of the explanations in light of the assumptions that were made, will enhance the reasoning and help them to overcome some of their misconceptions.
But there is another observation which can be made of the skies. And it can be either done in the classroom with the aid of Free Softwares like Stellarium. After the round of above questions, we usually show the class the rising of the stars from the east. In a darkened room with a projector the effect is quite dramatic for those who have not witnessed such a thing before. So you can show the class, just as the Sun rises, all other celestial bodies like the Moon and the stars also must rise and this is an observed fact.
Observation 2: The stars and planets and the Moon also rise and set everyday.
So how do we make sense of this observation, Ob2 in the light of the assumptions that we have.
Assumption 6: Sun is a star.
Explanation 4: We observe that Sun moves during the day, from East to West. Sun is a star, hence all other stars should also move.
Now why this should be the case will be different for the geo-centric and the helio-centric theories. In case of H-C theory the explantion is simple. The Earth moves hence the stars appear to move in the opposite direction. And this applies to all the objects in the sky.
Since the Earth moves all other celestial objects will appear to move. In case of G-C theory we have to make an assumption that the
stars are “fixed” on some imaginary sphere, and the sphere as a whole rotates.
But coming back to the misconceptions, it is just the ad-hoc belief that the stars do not move (“fixed stars”) in conjunctions with another observation that in presence of too bright objects dim objects cannot be seen leads to belief that the stars are immobile and do not rise and set as the Sun does. There is another disconnection from another fact that they know, or are told in the textbooks, that  the apparent movement of the Sun is caused by the actual movement of  the Earth. There is no connection between these two facts which is  made explicit.
We think that providing opportunities for direct observation aided by software, Stellarium in this case, which help in visualizing the movements of celestial bodies will help in developing the skill of reasoning and explaining an observed phenomena.

The Mitr

On-line Education | RMS

Educators, and all those who wish to contribute to on-line educational works: please do not to let your work be made non-free. Offer your assistance and text to educational works that carry free/libre licenses, preferably copyleft licenses so that all versions of the work must respect teachers’ and students’ freedom. Then invite educational activities to use and redistribute these works on that freedom-respecting basis, if they will. Together we can make education a domain of freedom.

via On-line Education|RMS
Mostly people don’t bother about what they get for gratis on the Internet, but institutions cannot adopt the same approach. Licensing is as much important as much as the actual content. But an archaic system will not go down till it is compelled to, and it will fight till the very end.

The Mitr

The PhD Octopus

Thus, we at Harvard are proud of the number of candidates whom we reject, and of
the inability of men who are not distingues in intellect to pass our tests.

This is something the American philosopher and psychologist William James wrote in the Harvard Monthly of March 1903 The Ph.D. Octopus.

Brilliancy and originality by themselves won’t save a thesis for the doctorate; it must also exhibit a heavy technical apparatus of learning; and this our candidate had neglected to bring to bear.
To our surprise we were given to understand in reply that the quality per se of the man signified nothing in this connection, and that the three magical letters were the thing seriously required. The College had always gloried in a list of faculty members who bore the doctor’s title, and to make a gap in the galaxy, and admit a common fox without a tail, would be a degradation impossible to be thought of.

"This must be a terribly distinguished crowd,-- their titles shine like the stars in the
firmament; Ph.D.'s, S.D.'s, and Litt.D.'s bespangle the page as if they were sprinkled
over it from a pepper caster."

“No instructor who is not a Doctor” has become a maxim in the smaller institutions which represent demand; and in each of the larger ones which represent supply, the same belief in decorated scholarship expresses itself in two antagonistic passions, one for multiplying as much as possible the annual output of doctors, the other for raising the standard of difficulty in passing, so that the Ph.D. of the special institution shall carry a higher blaze of distinction than it does elsewhere. Thus, we at Harvard are proud of the number of candidates whom we reject, and of the inability of men who are not distingues in intellect to pass our tests.
But the institutionizing on a large scale of any natural combination of need and motive always tends to run into technicality and to develop a tyrannical Machine with unforeseen powers of exclusion and corruption.
…
First of all, is not our growing tendency to appoint no instructors who are not also doctors an instance of pure sham? Will any one pretend for a moment that the doctor’s degree is a guarantee that its possessor will be successful as a teacher? Notoriously his moral, social, and personal characteristics may utterly disqualify him for success in the class-room; and of these characteristics his doctor’s examination is unable to take any account whatever. Certain bare human beings will always be better candidates for a given place than all the doctor-applicants on hand; and to exclude the former by a rigid rule, and in the end to have to sift the latter by private inquiry into their personal peculiarities among those who know them, just as if they were not doctors at all, is to stultify one’s own procedure.
…
The truth is that the Doctor-Monopoly in teaching, which is becoming so rooted an American custom, can show no serious grounds whatsoever for itself in reason. As it actually prevails and grows in vogue among us, it is due to childish motives exclusively. In reality it is but a sham, a bauble, a dodge, whereby to decorate the catalogues of schools and colleges.
…
We advertise our “schools” and send out our degree-requirements, knowing well that aspirants of all sorts will be attracted, and at the same time we set a standard which intends to pass no man who has not native intellectual distinction.

It forms an interesting reading considering this is what we are exactly doing and what is happening around us. For example the rule that prevents permanent appointments in colleges if the candidate is without a PhD. Or for that matter the ‘stamping’ that happens if you are from a so called privileged institute.
As the first quote that I have used from the article, summarizes the way our society recognize academic talent. If you are the selected ones from 10,000 odd people then indeed you are smart and the institute that selects you is indeed greatest. The ratio of the people applying for the courses to the ones that are actually accepted forms a good indicator of the ‘quality’ of the institute. The same institutes when choosing a faculty would apply even higher standards and even more people with decorations, on the list.

The Mitr

Flying Circus of Physics…

The Flying Circus of Physics began one dark and dreary night in 1968 while I was a graduate student at the University of Maryland. Well, actually, to most graduate students nearly all nights are dark and dreary, but I mean that that particular night was really dark and dreary. I was a full-time teaching assistant, and earlier in the day I had given a quiz to Sharon, one of my students. She did badly and at the end turned to me with the challenge, “What has anything of this to do with my life?”
I jumped to respond, “Sharon, this is physics! This has everything to do with your life!”
As she turned more to face me, with eyes and voice both tightened, she said in measured pace, “Give me some examples.”
I thought and thought but could not come up with a single one. I had spent at least six years studying physics and I could not come up with even a single example.That night I realized that the trouble with Sharon was actually the trouble with me: This thing called physics was something people did in a physics building, not something that was connected with the real world of Sharon or me. So, I decided to collect some real-world examples and, to catch her attention, I called the collection The Flying Circus of Physics.

via Jearl Walker | Flying Circus of Physics

The Mitr

Examinations: Students, Teachers and the System

We think of exams as simple troublesome exchanges with students:

Glance at some of the uses of examinations:

  • Measure students' knowledge of facts, principles, definitions,
experimental methods, etc
  • Measure students' understanding of the field studied
  • Show students what they have learnt
  • Show teacher what students have learnt
  • Provide students with landmarks in their studies
  • Provide students with landmarks in their studies and check
their progress
  • Make comparisons among students, or among teachers,
or among schools
  • Act as prognostic test to direct students to careers
  • Act as diagnostic test for placing students in fast
or slow programs
  • Act as an incentive to encourage study
  • Encourage study by promoting competition among students
  • Certify necessary level for later jobs
  • Certify a general educational background for later jobs
  • Act as test of general intelligence for jobs
  • Award's, scholarships, prizes etc.

There is no need to read all that list; I post it only as a warning against trying to do too many different things at once. These many uses are the variables in examining business, and unless we separate the variables, or at least think about separating them, our business will continue to suffer from confusion and damage.
There are two more aspects of great importance well known but seldom mentioned. First the effect of examination on teachers and their teaching –

coercive if imposed from the outside; guiding if adopted sensibly. That is how to change a whole teaching program to new aims and methods – institute new examinations. It can affect a teacher strongly.

It can also be the way to wreck a new program – keep the old exams, or try to correlate students’ progress with success in old exams.
Second: tremendous effect on students.

Examinations tell them our real aims, at least so they believe. If we stress clear understanding and aim at growing knowledge of physics, we may completely sabotage our teaching by a final examination that asks for numbers to be put in memorized formulas. However loud our sermons, however intriguing the experiments, students will be judged by that exam – and so will next years students who hear about it.

From:
Examinations: Powerful Agents for Good or Ill in Teaching | Eric M. Rogers | Am. J. Phys. 37, 954 (1969)
Though here the real power players the bureaucrats and (highly) qualified PhDs in education or otherwise who decide what is to be taught and how it is evaluated in the classroom. They are “coercive” as Rogers points out and teachers, the meek dictators (after Krishna Kumar), are the point of contact with the students and have to face the heat from all the sides. They are more like foot soldiers most of whom have no idea of what they are doing, why they are doing; while generals in their cozy rooms, are planning how to strike the enemy (is the enemy the students or their lack of (interest in ) education, I still wonder).  In other words most of them don’t have an birds-eye-view of system that they are a focal part of.
Or as Morris Kline puts it:

A couple of years of desperate but fruitless efforts caused Peter to sit back and think. He had projected himself and his own values and he had failed. He was not reaching his students. The liberal arts students saw no value in mathematics. The mathematics majors pursued mathematics because, like Peter, they were pleased to get correct answers to problems. But there was no genuine interest in the subject. Those students who would use mathematics in some profession or career insisted on being shown immediately how the material could be useful to them. A mere assurance that they would need it did not suffice. And so Peter began to wonder whether the subject matter prescribed in the syllabi was really suitable. Perhaps, unintentionally, he was wasting his students’ time.
Peter decided to investigate the value of the material he had been asked to teach. His first recourse was to check with his colleagues, who had taught from five to twenty-five or more years. But they knew no more than Peter about what physical scientists, social scientists, engineers, and high school and elementary school teachers really ought to learn. Like himself, they merely followed syllabi – and no one knew who had written the syllabi.
Peter’s next recourse was to examine the textbooks in the field. Surely professors in other institutions had overcome the problems he faced. His first glance through publishers’ catalogues cheered him. He saw titles such as Mathematics for Liberal Arts, Mathematics for Biologists, Calculus for Social Scientists, and Applied Mathematics for Engineers. He eagerly secured copies. But the texts proved to be a crushing disappointment. Only the authors’ and publishers names seemed to differentiate them. The contents were about the same, whether the authors in their prefaces or the publishers in their advertising literature professed to address liberal arts students, prospective engineers, students of business, or prospective teachers. Motivation and use of the mathematics were entirely ignored. It was evident that these authors had no idea of what anyone did with mathematics.

From: A Critique Of Undergrduate Education. (Commonly Known As: Why The Professor Can’t Teach?) | Morris Kline
Both of the works are about 50 years old, but they still reflect the educational system as of now.

The Mitr

What Wikipedia is not… then what it is?

Although anyone can be an editor, there are community processes and standards that make Wikipedia neither an anarchy, democracy, nor bureaucracy.

via What Wikipedia is Not

Disclaimer: Let me make some things clear, I am not against Wikipedia, or its policies. I am (great) admirer and (very heavy) user, and (very little) contributor to the wonderful platform, which aims to provide free knowledge to everyone. In this post I am just trying to collect thoughts that I have about the Wikipedia’s social system and its relation to the society at large.
Then what is wikipedia? Is it a feudal system, which they do not mention in the list above? Although there are people who are called bureaucrats, they say it is not a bureaucracy, I think they mean it in the traditional sense of the wor(l)d (pun intended).
But for a new person, who is trying to edit the first article, there is too much of bureaucracy (read rules), involved, and it may not be a pleasant experience at all, especially for the so called technologically-challenged people. To describe in one word it is intimidating. The trouble is only there till, actually you become used to it, and become part of the system. This is more like the adaptation to smell, after a while in a stinking place, you don’t feel the stink anymore (just an analogy, I do not mean that Wikipedia stinks!). The rules become a part of your editing skills, which you do want to see in other editors. But how many people are able to get over this first major hurdle is not known to me, but I guess (which can be completely wrong) this number can be significant. This will in general reduce the number of producers and just tend to increase the number of consumers in the commercial sense of the word.
Another thing that the above quote says it is not a democracy. Again here I think, Wikipedia is not a democracy in the sense of common usage of the term. In a democracy, by definition the popular aspirations get through, and they may not be even the best for a society, as we many times see in the Indian context. But then it mostly the people who are editing the Wikipedia who decide by consensus that certain thing should be done. Is it not like majority win? So there is in fact a strong democratic element in Wikipedia.
Do we also want a society that is same as above “neither an anarchy, democracy, nor bureaucracy”? What kind of society would you like to live in?