For those who had as much difficulty as I did in reading the article (the department guru finally got Textures to work), here are Wu's 4 assumptions: (i) the instructor is mathematically and pedagogically competent, (ii) only 12 years are devoted to public school educations and 4 years to college education, (iii) after 12 years of school education students should be competent enough to function as useful citizens in society, and after 4 years of college students should be competent enough to start graduate work in ther chosen disciplines, and (iv) our education system continues to be one for the masses rather than for a select few, so that each teacher or professor must teach _many_ students in each course.
At the end he states that "a summary of the preceding discussion would include the following among the strengths of lecturing: (a) It allows the instructor to set the pace of the course. This is an important consideration if the basic parameters of school and college education as we know them are to remain intact. See assumptions (ii) and (iii) (b) It allows the instructor to share his insight into the subject with students. If we still believe that education is the process of passing the torch from generation to generation, this too is an important consideration."
Another time, I'll write a more detailed reaction to the article. For now, I'll just say that , in the large, I agree with him. MJW
Professor M. J. Winter telephone: 517 353 6337 Department of Mathematics fax 517 432 1562 Michigan State University East Lansing, MI 48824 http://www.math.msu.edu/~winter/
This is an unmoderated distribution list discussing teaching and learning of post-calculus mathematics.---David.Epstein@warwick.ac.uk
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