Dan Fendel on Statistics vs Calculus



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Topic: Sociology > Education
User: "Dom"
Date: 01 Jan 2006 04:15:19 PM
Object: Dan Fendel on Statistics vs Calculus
The January 2006 issues of the AMS NOTICES contains a letter by Dan
Fendel at:
http://www.ams.org/notices/200601/commentary.pdf
Registration (free) is required to access the letter by scrolling down
one page to Page 6.
Fendel appears to argue that teaching statistics in high school is at
least as important as teaching calculus.
The folly of pushing high school students into calculus was exposed by
J. H. Neelley [MAA MONTHLY, "A generation of high school calculus,"
Dec. 1961, pp 1004-5]. Neelley concluded that "high school calculus is
largely a waste of time." I posted a summary of Neelley's Note at:
http://mathforum.org/kb/thread.jspa?forumID=206&threadID=477972
Are the results of pushing students into cookbook statistics any
better?
Cookbook statistics is flourishing not only in high schools but also at
the highest levels of Academia.
At the June 1996 meeting of the Northeastern Section/MAA, John
McKenzie, a professor os statistics at Babson College, told me the
following story.
When McKenzie was at the University of Michigan, a statistics professor
used to assign the following project to his students: Find a published
statistical study that is flawed, explain the flaw, and correct the
flaw. After a few years, the professor stopped assigning this project
because it had become too easy. His students went directly to the
doctoral theses that had been written in Education or the Social
Sciences and would quickly find a flawed study.
Domenico Rosa
.

User: "Herman Rubin"

Title: Re: Dan Fendel on Statistics vs Calculus 02 Jan 2006 02:55:18 PM
In article <1136153719.444021.71250@o13g2000cwo.googlegroups.com>,
Dom <DRosa@teikyopost.edu> wrote:

The January 2006 issues of the AMS NOTICES contains a letter by Dan
Fendel at:
http://www.ams.org/notices/200601/commentary.pdf
Registration (free) is required to access the letter by scrolling down
one page to Page 6.
Fendel appears to argue that teaching statistics in high school is at
least as important as teaching calculus.

Statistics can be taught better than calculus in high
school, provided it is not cookbook. To teach non-cookbook
calculus requires a teacher who understands real analysis
and knows how to teach the concepts, which few do, and
students who are willing to learn them, but not necessarily
how to grind out answers.
With statistics, if one avoids the trivial computational
approach, it can be done, and one can even find selections
from current books. I would suggest a decision approach,
which starts out with states of nature and actions. Each
action in each state of nature results in a probability
distribution of outcomes, and the statistical problem is
to decide which action to take to get the "best", or even
a good, result balancing the problems with the given
outcomes. This is better than what most college students
now get; it allows careful setting up of the problem, and
gives SOME results. But it does not get all the classical
statistical religion usually taught.

The folly of pushing high school students into calculus was exposed by
J. H. Neelley [MAA MONTHLY, "A generation of high school calculus,"
Dec. 1961, pp 1004-5]. Neelley concluded that "high school calculus is
largely a waste of time." I posted a summary of Neelley's Note at:
http://mathforum.org/kb/thread.jspa?forumID=206&threadID=477972
Are the results of pushing students into cookbook statistics any
better?
Cookbook statistics is flourishing not only in high schools but also at
the highest levels of Academia.
At the June 1996 meeting of the Northeastern Section/MAA, John
McKenzie, a professor os statistics at Babson College, told me the
following story.
When McKenzie was at the University of Michigan, a statistics professor
used to assign the following project to his students: Find a published
statistical study that is flawed, explain the flaw, and correct the
flaw. After a few years, the professor stopped assigning this project
because it had become too easy. His students went directly to the
doctoral theses that had been written in Education or the Social
Sciences and would quickly find a flawed study.

Medical papers using statistics are often little better,
and I have pointed this out in medical newsgroups.

Domenico Rosa

--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558
.


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