Kent Luteman wrote: <<The lecture is still the most effecient way to impart "certain kinds" of knowlege to a large group of students. >>
Kent has brought up, for me, an important issue with the words: "'certain kinds' of knowledge" I can only think of one type of mathematical knowledge that is best conveyed via telling and that is the terminology that is in common usage for communicating with others about certain conceptual understandings. Can anyone please tell me other kinds of mathematical knowledge that are best transmitted by telling as opposed to constructing?
--I just thought of another----historical perspectives that might add to the student's appreciation of the development of a mathematical idea?
Lucille L. Peterson Math Leadership Program Bank Street Graduate School of Education Tel: 212-875-4665 610 West 112th Street Fax: 212-875-4753 New York, NY 10025 E-mail: firstname.lastname@example.org