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- Newsgroups: sci.edu
- Path: sparky!uunet!emba-news.uvm.edu!kira.emba.uvm.edu!cavrak
- From: cavrak@emba-news.uvm.edu.UUCP (Steve Cavrak)
- Subject: Re: Teaching of concepts
- Message-ID: <1992Jul30.190554.5746@uvm.edu>
- Originator: cavrak@kira.emba.uvm.edu
- Sender: news@uvm.edu
- Organization: University of Vermont -- Division of EMBA Computer Facility
- References: <55573@mentor.cc.purdue.edu>
- Date: Thu, 30 Jul 1992 19:05:54 GMT
- Lines: 44
-
- In a discussion of "experience" / "examples"
-
- S. J. Cavrak writes:
-
- imagine a math textbook with Mathematica built in; a
- statistics textbook with JMP and several years worth of
- opinion polls and economic data; an astronomy text with tons
- of images of the planets (gis type); an environmental studies
- text with stella, etc.
-
- H. Rubin comments:
-
- I can see something like Mathematica being included in a good
- textbook teaching mathematical concepts. But the stuff you
- have mentioned has no place in a statistics book until the
- concepts, none of which are even illustrated by the methods
- and data suggested above, are clearly understood. (Well, the
- opinion polls might be all right for examples, but not as
- usually given.)
-
- Definitely not as usually "given." Here I was thinking of students
- having access to "raw" data -- and lots of it from a variety of sources
- that might relate to their particular interests -- and "tools" to
- "look" at data in a variety of ways. One or two examples of "mean"
- and "mode" and "median", etc., are generally too abstract. I think
- that students have to "tackle" data on their own, and that the data in
- some sense has to be "real."
-
- Calculating the "average" of 1, 2, 3, 4, 5 can indeed illustrate the
- concept of "average" (and so can 1, 1, 1, 1, 5; etc.) but many students
- find these on the abstract side. (Great story about teaching
- percentages - and how their relationship to money ! - later maybe.)
-
- But I don't see this as a class room "exercise" as much as a "consulting"
- exercise -- getting the "student" to explain to the "teacher" what is
- going on with the data as the teacher and the student generate different
- views.
-
- "Will the Average American Please Stand Up?"
-
- Ciao
-
- Steve
-
-