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On the Teaching of Linear Algebra (Paperback, Softcover reprint of the original 1st ed. 2000)
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On the Teaching of Linear Algebra (Paperback, Softcover reprint of the original 1st ed. 2000)
Series: Mathematics Education Library, 23
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To a large extent, it lies, no doubt, in what is presented in this
work under the title of meta lever, a method which it is certainly
interesting to develop and further refine. There exists in
mathematics courses a strange prudery which forbids one to ask
questions such as, Why are we doing this? -, At what is the
objective aimed? -, whereas it is usually easy to reply to such
questions, to keep them in mind, and to show that one can challenge
these questions and modify the objectives to be more productive or
more useful. If we don t do this we give a false impression of a
gratuitous or arbitrary interpretation of a discipline whose rules
are far from being unmotivated or unfounded. One must also consider
the time aspect. Simple ideas take a long time to be conceived.
Should we not therefore allow the students time to familiarize
themselves with new notions? And must we not also recognize that
this length of time is generally longer than that ofthe official
length of time accorded to this teaching and that we should be
counting in years? When the rudiments of linear algebra were taught
at the level of the lycee (college level), the task of first year
university teachers was certainly easier: for sure the student's
knowledge was not very deep, however it was not negligible and it
allowed them to reach a deeper understanding more quickly."
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