Tuesday, June 30, 2009

WAY OF TERRY TAO



Professor Terry Tao (born 1975) is an Australian mathematician now working in the US. Tao was a child prodigy who taught himself arithmetic at age 2. He received his PhD at age 20, was appointed a full professor at UCLA at age 24 and won the Field’s Medal in mathematics at age 31. This award is something analogous to a Nobel Prize in maths. (There is no Nobel Prize in mathematics though this is not because Nobel’s wife ran off with a mathematician).

Gregory Mankiw (and Joshua Gans) recently discussed a delightful version of the ‘airport problem’ a problem Tao conceived while manoeuvring around a long airport terminal. The apparently self-evident answer to the first part of this easy-to-state problem* is wrong but thinking clearly about the issue clearly resolves things quickly**.

Anyway I happened to see some classes given by Tao that have been recorded on YouTube. He is not only an obviously brilliant mathematician but an extremely able teacher. This introductory class on the prime numbers is beautifully presented. Poetic, insightful, simple.

It is a pity – from Australia’s perspective if not his own - that he is not working in Australia building up a great mathematics department and attracting scholars of renown here. I’d make the same observation about notable scholars in my own field of economics. That’s definitely not a criticism of any individual – purely an observation that academe here would be better-off with their presence.

Saturday, June 27, 2009

Behaviorism Theory by Burrhus Frederic Skinner (B. F. Skinner)




Burrhus Frederic Skinner (March 20, 1904 – August 18, 1990) was an American psychologist, author, inventor, advocate for social reform and poet. He was the Edgar Pierce Professor of Psychology at Harvard University from 1958 until his retirement in 1974. He invented the operant conditioning chamber, innovated his own philosophy of science called Radical Behaviorism, and founded his own school of experimental research psychology—the experimental analysis of behavior. His analysis of human behavior culminated in his work Verbal Behavior, which has recently seen enormous increase in interest experimentally and in applied settings. He discovered and advanced the rate of response as a dependent variable in psychological research. He invented the cumulative recorder to measure rate of responding as part of his highly influential work on schedules of reinforcement. In a recent survey, Skinner was listed as the most influential psychologist of the 20th century. He was a prolific author who published 21 books and 180 articles.



Radical Behaviorism

Finding the behaviorism of his time to be problematic, Skinner branched off his own version he called Radical Behaviorism which unlike methodological behaviorism did not require truth by consensus so it could accept private events such as thinking, perception and emotion in its account. Also, unlike all of the other behaviorists such as Tolman, Hull and Clark, Skinner's version radically rejected mediating constructs and the hypothetico-deductive method, instead offering a strongly inductive, data driven approach that has proven to be successful in dozens of areas from behavioral pharmacology to language therapy in the developmentally delayed.


Verbal Behavior

Challenged by Alfred North Whitehead during a casual discussion while at Harvard to provide an account of a randomly provided piece of verbal behavior Skinner set about attempting to extend his then-new functional, inductive, approach to the complexity of human verbal behavior. Developed over two decades, his work appeared as the culmination of the William James lectures in the book, Verbal Behavior. Although Noam Chomsky was highly critical of Verbal Behavior, he conceded that it was the "most careful and thoroughgoing presentation of such speculations", even though he apparently never read it, confusing Skinner's stance with "S-R psychology" as a reason for giving it "a review." Verbal Behavior had an uncharacteristically slow reception, partly as a result of Chomsky's review, paired with Skinner's neglect to address or rebut any of Chomsky's condemnations. Skinner's peers may have been slow to adopt and consider the conventions within Verbal Behavior due to its lack of experimental evidence—unlike the empirical density that marked Skinner's previous work. However, Skinner's functional analysis of verbal behavior has seen a resurgence of interest in applied settings.



INFLUENCE OF EDUCATION

Skinner influenced education as well as psychology. He was quoted as saying "Teachers must learn how to teach ... they need only to be taught more effective ways of teaching." Skinner asserted that positive reinforcement is more effective at changing and establishing behavior than punishment, with obvious implications for the then widespread practice of rote learning and punitive discipline in education. Skinner also suggests that the main thing people learn from being punished is how to avoid punishment.
Skinner says that there are five main obstacles in learning:

1. People have a fear of failure.
2. The task is not broken down into small enough steps.
3. There is a lack of directions.
4. There is also a lack of clarity in the directions.
5. Positive reinforcement is lacking.


Skinner suggests that any age-appropriate skill can be taught using five principles to remedy the above problems:

1. Give the learner immediate feedback.
2. Break down the task into small steps.
3. Repeat the directions as many times as possible.
4. Work from the most simple to the most complex tasks.
5. Give positive reinforcement.

-introductions-

****shedar.....???


*******what does it mean? hmm...try guess~

***can u find the answer?? haha~

***okay..i'll explain where did we get this name and why we chose it..

***shedar = name of the star...

= has distinction of being 1 of the 1st 2 stars beyond the Sun

= the brightest, though not by much and not all of the time

= describes the position of the star in the heart of the ancient Queen


*********** we want to be 'the brightest' group in our class...oh yeahhh!! go shedars~*********