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Feb 11, 2019 at 12:50 comment added Tim Porter About methodology that I mentioned in the previous comment. I do think that how one does maths, why one does it in a particular way and so on, questions relating to the methodology of mathematics, are not given enough promenance in the training of lecturers. My own preference is seeing how and why a piece of maths works and that leads me naturally to a certain level of categorical langiuage and eventually of theory. I am not saying that there is a best methodological approach to algebra, merely saying that in preparing a course lecturers should ask themselves methodolgical questions.
Feb 11, 2019 at 12:44 history edited Tim Porter CC BY-SA 4.0
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Oct 10, 2015 at 6:57 comment added Tim Porter Not really as I never had to teach that side of group theory. I think I would have liked a semi-historical or philosophical a approach, i.e. one in which the question of why Sylow theory was discovered/developed was discussed briefly. The methodology of the subject needed more justification, for me that is.
Oct 6, 2015 at 11:29 comment added Arrow This is not related to the question, but have you found satisfying motivation for Sylow theory in terms of what is usually given as 'earlier material'?
Oct 7, 2010 at 16:26 history edited Mike Shulman CC BY-SA 2.5
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Oct 5, 2010 at 7:08 history answered Tim Porter CC BY-SA 2.5