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- Path: sparky!uunet!decwrl!purdue!mentor.cc.purdue.edu!pop.stat.purdue.edu!hrubin
- From: hrubin@pop.stat.purdue.edu (Herman Rubin)
- Newsgroups: sci.edu
- Subject: Teaching of concepts
- Message-ID: <55573@mentor.cc.purdue.edu>
- Date: 30 Jul 92 18:12:55 GMT
- References: <55455@mentor.cc.purdue.edu> <1992Jul29.212844.15222@uvm.edu>
- Sender: news@mentor.cc.purdue.edu
- Organization: Purdue University Statistics Department
- Lines: 51
-
- In article <1992Jul29.212844.15222@uvm.edu> cavrak@emba-news.uvm.edu.UUCP (Steve Cavrak) writes:
- >Herman Rubin comments :
-
- > Unfortunately, at this time the great bulk of material
- > presented is exactly stimulus-response. It is trying to make
- > humans act like computers. What is needed in education is
- > concepts. There is a big amount of talk of transfer of
- > training; what I have seen on this is either negative, or it
- > is application.
-
- >There is no doubt a large amount of the "stimulus-response" type of
- >thing going on out there -- but from my experience there is as much if
- >not more high quality "though provoking" material. Some, like
- >Tarski's world has a "game like" approach, but at a very high level.
-
- >One of the key points to remember is that "concepts" can only be
- >taught in the context of "experience." The "stimulus-response" model
- >is a very one dimensional experience; a program like MathMaze,
- >however, and Tarski's world, provide fairly rich experiences -- always
- >under the control of the learner who can modify twist bend flip the
- >rules to suit her curiosity.
-
- As one teaching concepts in mathematics and statistics, I would argue
- that it is more important NOT to have too much experience so that the
- concepts can be developed without being swamped by the details. Not
- that examples should not be given, but that they should be chosen
- carefully to be so varied that the student does not carry irrelevant
- garbage to confuse the concepts.
-
- >Yes, this does take a lot of developmental work -- probably as much as
- >writing a new textbook. But 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.
-
- 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.) It is very difficult to get a person who
- has learned statistical methods to discuss the statistical problem
- with a statistician; the ingredients are not known at all. This
- statement definitely includes the great bulk of those who misuse
- statistics in psychology and education.
- --
- Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
- Phone: (317)494-6054
- hrubin@pop.stat.purdue.edu (Internet, bitnet)
- {purdue,pur-ee}!pop.stat!hrubin(UUCP)
-