
Re: Maths pedagaogy
Posted:
Mar 20, 2013 9:55 AM


On Tue, 19 Mar 2013 19:17:03 0500, fom <fomJUNK@nyms.net> wrote:
>On 3/19/2013 4:57 PM, David C. Ullrich wrote: >> On Tue, 19 Mar 2013 08:38:20 0700 (PDT), pepstein5@gmail.com wrote: >> >>> On Tuesday, March 19, 2013 3:26:49 PM UTC, Frederick Williams wrote: >>>> quasi wrote: >>>> >>>> >>>> >>>>> >>>> >>>>> Yes, but the best teachers and authors have mastered the art of >>>> >>>>> judging how their presentation would be seen from the point of >>>> >>>>> view of the prospective student. >>>> >>>> >>>> >>>> While the lecturer knows to whom he is lecturing, the author of a book >>>> >>>> doesn't necessarily know who will read it. >>>> >>>> >>> This seems exactly the wrong way round. A good maths book will specify exactly what the readership is expected to know  "prerequisites" in other words. >>> On the other hand, the abilities and knowledge bases of a graduate and undergraduate class can vary enormously, and it is difficult (but not impossible) to find out what they know. >> >> >> ??? There are _official_ prerequisites for a class. A student is not >> _allowed_ to take this class without having passed those other >> classes. All the author of a book can do is explain what audience >> he had in mind  he has no control over who actually reads the book. >> >> What's difficult about finding out what the students know? >> After the first quiz in differential equations I can tell you >> which ones know enough calculus. >> >> Your, erm, experience must be vastly different from mine; >> in particular the rules and regulations at the place where >> you teach must be very different. >> >> "exactly the wrong way round" indeed. >> > >Some, like myself, study outside of the guidance >of curriculum committees and without the help >of instructors. > >I visit used book stores seeking books I can >afford  some beyond my skill level. > >I work at understanding what I can. I look >for books that fill gaps when I have purchased >beyond my abilities. > >So, I do appreciate when an author makes a >plain statement of prerequisites.
Of course that's a good thing  that in no way negates my comments on Paul's pronouncement...
> >Even so, any book is better than no book >when one is interested. > > > > > > > > > > > > > > > > >

