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Jun 8, 2010 at 13:48 comment added Gil Kalai But of course, even with this little concern, following a text or lecture notes is much better for the students than not having a text. The only problem is that writing lecture notes is a lot of work for the teacher. With or without lecture notes, going too quickly and trying to squeeze too much into a lecture is probably the most common pedagogical mistake in math lectures on all levels.
Jun 8, 2010 at 13:31 comment added Gil Kalai (Similarly I dont like when lecturers regard what they say in a lecture as an addition to what is written in the transperancies that the audience should read and understand on their own, gilkalai.wordpress.com/2008/11/23/… )
Jun 8, 2010 at 13:29 comment added Gil Kalai I see one danger with the assertion that lectures should complement the lecture notes and vice versa which is that if the instructor assumes that the students read and understood the lecture notes and makes this the starting point for his lecture this can make the lecture completely hopeless. So I would support an approach that the lectures should be self contained and stand-alone, but the lecture notes reduce the need for the students to write every word and may contain some (but not too much) additional material.
Jun 7, 2010 at 20:35 comment added Peter Luthy I completely agree with these sentiments, Terry. Such a system is extremely rewarding to students who work hard. Students all have varying levels of raw ability; the only thing you can do as an instructor is make hard work as valuable to them as possible.
Jun 7, 2010 at 20:02 comment added The Mathemagician All very good points and I agree with most of them,Terry. What I think lectures should be for is what's NOT in the written material,what textbook authors usually call motivation and context. Personal commentary,historical digressions,anecdotal tales of the lecturer's own experiences,etc. These are the aspects of a rich educational experience that are best delivered with a personal touch-definitions and theorums are best left to prefabricated notes.
Jun 7, 2010 at 19:13 history edited Terry Tao CC BY-SA 2.5
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Jun 7, 2010 at 19:06 history edited Terry Tao CC BY-SA 2.5
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Jun 7, 2010 at 18:52 history answered Terry Tao CC BY-SA 2.5