Thursday, August 26, 2010

Beliefs About Teaching


Throughout my education, I have been exposed to a wide variety of teaching philosophies and methods. My own beliefs about teaching developed as I observed both the good and bad teachers in my life. I have found that those educators who I learned the most from shared many common traits. Several observations stand out in my mind as necessities for effective teaching.

A teacher sets a good example and helps others to follow his ideal. I agree with ancient philosophers, such as Plato and Confucius, that the primary goal of education is the cultivation of virtue in the individual and the ultimate betterment of society. A teacher, who is not himself virtuous, displays the inadequacy of his own education. In fact, Confucius defines a teacher as one who “brings out the good in students while remedying their weaknesses”. A teacher cannot do this if he shares those weaknesses and remains ignorant of good. Many times I have seen those who attempt to instill values in their children that they themselves do not exemplify. A parent who smokes or has unhealthy eating habits should not expect their child to avoid these vices. Hypocrisy should be removed from education at all costs. Respect for a teacher extends to respect for the subject they teach and respect for learning in general.

Similarly, a teacher must exhibit a profound knowledge of the content he teaches. Forming effective lesson plans requires an extensive familiarity with the difficulties lurking inside one’s subject. A teacher should be prepared to allow plenty of time for complex ideas to sink in. If a teacher moves too quickly or assigns too much difficult work, then discouraged students will feel overwhelmed and lose interest. A teacher is like a navigator leading an expedition. Connecting new concepts to content that students previously learned requires a detailed map of the terrain. Possession of a broad spectrum of information shows that the teacher loves his subject and enjoys learning himself. This infectious enthusiasm will be passed on to the student. In high school, many of my teachers seemed to lack interest in the subjects they taught and this translated to a lack of interest from their pupils.

Experience is the ultimate teacher and students learn new things best by doing them. This teaching belief has its foundations in my physics education. Empiricism certainly underlies the philosophy of science. As a scientist, I’ve always believed that the truth exists objectively “out there” in the world, waiting to be discovered and experienced. Science’s greatest strength, repeatability, urges students to perform experiments and see the results for themselves. Over the years, the best teachers I’ve had placed an emphasis on learning by doing. For example, I learned to solve calculus problems not by reading through multiple solved examples in the textbook, but by working through problems up on the chalkboard myself during class. A formidable gulf lies between direct and indirect knowledge. For example, when I was young I read many stories and books that took place on the ocean. The authors described in vivid detail the sounds, smells, and sights of the sea and I often imagined myself standing on the shore. However, all my reading paled in comparison with the actual experience. When finally I travelled to the ocean, I was ill prepared for the actual feel of the sand between my toes and the thunderous roar on windy days. Indeed, one cannot write poetry without having experienced emotion, nor create art without knowing beauty.

Learning through experience allows students to take ideas and extend them beyond the classroom. It bridges the gap between memorization and understanding. Requiring students to apply information while they learn, promotes critical thinking and avoids the folly having them blandly regurgitate facts to pass tests. Knowledge gained in an active way outlasts knowledge gained passively. A toddler is less likely to touch a hot stove if he has been burned by it in the past, then he is if mom simply tells him, “Don’t touch the stove, its hot”.

Teachers should show an interest in their students as individuals. People learn and think in a variety of ways and at different rates. A good educator must realize this and present information to students in a suitable fashion. Education should cater to the interests and inclinations of the individual learner. Familiar concepts should be entwined with new information. This promotes understanding by allowing the student to perceive the connectedness of ideas, as opposed to just memorizing a bunch of seemingly unrelated facts. Modern education takes more of a cookie cutter approach to teaching. Children are lumped into large classrooms and fed information in the exact same packaging at the exact same rate. Although this method of teaching works for the hypothetical average student, many real students are either left behind, bored, or frustrated by the classroom pace. I was often labeled as a slow student who struggled with mathematics by many of my teachers in both primary and secondary school. In truth, I was often bored with the rate and manner in which the material was presented. I frequently resorted to daydreaming and doodling for entertainment and often didn’t finish homework assignments because I considered them to be mindless busy work. It wasn’t until later in my college education, when I started taking classes with sizes of eight to ten students, that I received some individual attention and began to improve my math grades. Admittedly, the downside to an individualized education is that it necessitates fairly small class sizes and numerous qualified instructors. However, unparalleled advantages await for those who receive individualized teaching. Smaller class sizes let students get to know their teacher and each other better. This helps them enjoy school and acquire a conviction in ideas resulting in a desire to continue learning once their formal education is complete. A small circle of fellow interested students cultivates good character.

Thursday, August 19, 2010

Intelligent Design


Intelligent Design is the idea that life, or even the universe itself, was created/designed by some sort of unspecified intelligent agent. In recent years, many fundamentalist Christian religious groups have pushed for intelligent design to be taught in science classrooms across the United States. They argue that since the intelligent designer isn't specified, the separation of church and state isn't violated.

Although by "intelligent designer" they obviously mean God, it is certainly possible that the designer could be something physical.  We might have been created by a powerful alien race or we could even be living in a computer simulated virtual reality.  In order to be considered scientific, intelligent design needs to do one big thing. It needs to make testable predictions. All scientific theories not only explain previously observed phenomena, but they make unique testable predictions about what will be observed. Einstein's general relativity not only explained irregularities in Mercury's orbit, it also predicted the bending of starlight by the Sun.

Notice that scientific theories are falsifiable. There are observations that will disprove the theory. For example, evolution predicts things like, "You will never find an octopus with bird feathers, or see a mammal species with insect compound eyes." Natural selection further requires that you be able to obtain body parts through manipulations of previously existing structures. Something like the presence of a single centaur or mermaid in the fossil record would disprove evolution.  The existence of humanoid aliens like Star Trek's vulcans would provide a challenge to Darwin's theory.


Religious proponents of intelligent design should be hesitant to equate the designer with God for three reasons:

1.  Including God in science would mean that there would be some sort of test you could perform to see whether God exists. I can see it now...the scientist comes out of his lab, holds a press conference, lifts up his beaker, and says, "Sorry everyone, the liquid turned blue...theres no God". If God is to become a subject of scientific enquiry, then he must be something that I can weigh, measure, or cram a thermometer into. What I mean is that God must be quantifiable and definable in some way.

2.  God would fall within the realm of empirical study.  With empirical knowledge, there is no way of being absolutely sure when you have arrived at the truth about something. I know, for example, that when I let go of a ball it falls. Now, I've performed the dropping ball experiment many times in my life, and I feel extremely confident in saying that whenever I drop a ball it will always fall down, but there is no way to be 100% certain about that through empirical observation.  It is possible that I might let go of the ball once and it will fall up.

3. Science is flexible.  In science new theories often come along and replace the old ones. You would have to be willing to change your view of God to incorporate new experimental observations. I don't know about you, but I've always thought that truths about God should be absolute, eternal, and unchanging.

I guess it is possible that our universe was created by an intelligent physical being of some sort, but at the moment I see no scientific merit for such an assertion. When it makes a unique testable prediction, then I'll consider the scientific merits of intelligent design.  I quote Laplace's reply to Napoleon when asked why he didn't mention the Creator in his scientific works on the universe:  "Je n'avais pas besoin de cette hypothèse-là. ("I had no need of that hypothesis.)"

Although intelligent design doesn't belong in the science classroom, I think it would be the perfect topic for a high school class in philosophy. Philosophy is an excellent subject that encompasses topics relevant to science, religion, morality, politics, and being. A high school philosophy class would be an excellent way to encourage critical thinking in young people. Too many people in the United States focus on memorizing enough to pass tests.

Tuesday, August 17, 2010

Alien Contact Forthcoming?


There seems to be a great deal of optimism amongst scientists regarding the existence of life in the cosmos. Some astronomers argue for the ubiquity of extraterrestrial civilizations and suggest that we will likely receive a communication in the upcoming decades

World famous physicist Stephen Hawking thinks that we should avoid advertising our existence to any aliens that might be listening. Many others agree with him.

Even the astronomers at the Vatican have hopped onto the alien bandwagon.

Youtube Video: Vatican Astronomer on Aliens

With all the talk about aliens and the search for extraterrestrial intelligence of late, I decided to revisit the equation for predicting the number of civilizations in our galaxy; the Drake equation.

To quote Wikipedia:

The Drake equation states that:

where:

N = the number of civilizations in our galaxy with which communication might be possible;

and

R* = the average rate of star formation per year in our galaxy

fp = the fraction of those stars that have planets

ne = the average number of planets that can potentially support life per star that has planets

fℓ = the fraction of the above that actually go on to develop life at some point

fi = the fraction of the above that actually go on to develop intelligent life

fc = the fraction of civilizations that develop a technology that releases detectable signs of their existence into space

L = the length of time such civilizations release detectable signals into space

Here are my estimates of those variables:

R* - There are about 100 billion stars in our galaxy and the galaxy is thought to be on the order of 10 billion years old. Dividing those numbers we get an average of about 10 stars per year.

fp - Planet formation seems to be a common part of star formation. However, many star systems contain multiple suns that will cause any planets have chaotic unstable orbits and result in their destruction. Given that, I think 1/4 is a generous estimate.

ne - Since there are roughly 200 planets and moons in the solar system and maybe 4 that might have conditions for life (Earth, Mars, Europa, Titan) 1/50 is a reasonable estimate. This assumes that the solar system is an average planetary system. The real number is probably much smaller. Chaotic stable orbits in multi-star systems likely result in planetary environments too extreme for the development of life. Stars near the galactic core would probably be unsuitable for the formation of life bearing planets. Its also possible that there is some unusual feature of Earth (our giant moon perhaps?) or the Sun that make life more of a freak occurance.

fℓ - Earth's fossil history shows that life started very shortly after the planet cooled. This suggests that when the conditions for life are met, its easy to get it started. So this is probably a number pretty close to 1.

fi - Since complex life appeared somewhere between 1-0.5 billion years ago and life was apparently around for about 4-3.5 billion years, I'd divide 0.75 billion by 3.75 billion and say complex life only appears about 1/5 of the time. Because intelligence is a useful evolutionary advantage I would think that it almost certainly evolves whenever complex life arises, so 1/5 is a reasonable estimate for intelligent life.

fc - There are other intelligent life forms on Earth besides humans, but they lack things like long life spans, manipulative appendages, abstract language, and social structure that are needed to create culture and technology. I'd say given cephalopods, dolphins, social insect colonies, apes, elephants (which I think are the non primate organism most likely to form an intelligent civilization), and man. I'd say 1/6 isn't a bad projection. Although, one could alternatively examine human history to arrive at an estimate. We've only had technology for about the last 10,000 years and fossil evidence dates humans back to about 50,000-100,000 years, so looking at that ratio we still get around 1/5 to 1/10 so I stand with my 1/6 estimate from earlier.

L - Since technology has been around for about 10,000 years, it doesn't seem unreasonable to think that "broadcasting" technology will subsist for at least another 10,000 years...I think thats a decent estimate

Multiply it all out and you get around 16 or 17 civilizations in our galaxy. However that was with an extremely generous estimate of planets around stars that can support life I think. You have to remember that stars near the galactic core will probably be unsuitable for life and that would probably reduce our estimate quite a bit.

This is not very promising for humanity’s alien search. The galaxy’s radius is around 100,000 light years. If you assume that the civilizations are evenly spaced on the outskirts of the galaxy’s circumference, then the spacing between us and E.T. would be around 20,000 light years. This means that it would take us about 40,000 years to send and receive a message.