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- From: mccolm@darwin.math.usf.edu. (Gregory McColm)
- Newsgroups: sci.math,sci.physics,sci.astro,sci.bio,sci.chem,misc.education
- Subject: Re: Is Math Hard?
- Message-ID: <1992Nov11.195326.25846@ariel.ec.usf.edu>
- Date: 11 Nov 92 19:53:26 GMT
- References: <Bx79Lo.LG1@mentor.cc.purdue.edu> <1992Nov5.180244.27364@athena.mit.edu> <Bx9uy1.LB0@mentor.cc.purdue.edu>
- Sender: news@ariel.ec.usf.edu (News Admin)
- Organization: Univ. of South Florida, Math Department
- Lines: 105
-
- In article <Bx9uy1.LB0@mentor.cc.purdue.edu> hrubin@mentor.cc.purdue.edu (Herman Rubin) writes:
- >In article <1992Nov5.180244.27364@athena.mit.edu> jamess@athena.mit.edu (John A Mess) writes:
- >> I apologize this is very long, but it is a response to the numerous
- >>postings recently criticizing, unjustly, most high school teachers.
- >
- >>In article <Bx79Lo.LG1@mentor.cc.purdue.edu> hrubin@pop.stat.purdue.edu (Herman Rubin) writes:
- >>>In article <1992Nov4.044300.15766@cbfsb.cb.att.com> wa2ise@cbnewsb.cb.att.com (robert.f.casey) writes:
- >>>>In 5th grade, we did set theory (at least the simple stuff). At the time,
- >>>>I couldn't believe that we were doing such easy stuff instead of hard
- >>>>long division and such. But it seemed that the teacher and the rest of
- >>>>the class had a hard time figuring it out....
- >
- >>>From the experiences when people who had an understanding of mathematics
- >>>taught it, most of the children could get some grasp of the subject. But
- >>>failure of the attempts to teach the teachers was what killed the new math.
- >>>Teachers who can only teach rote can only do harm to those who want more.
- >
- >> This was a very common problem in the 60's and 70's when public educa-
- >>tors wanted to "modernize" the process. The idea of teaching reading by
- >>using phonetic symbols, by leaving out words, and other garbage was often
- >>*forced* on public teachers from above.
- >
- >This happened partly, but you have the whole thing wrong. Before the 40's
- >reading was ALWAYS taught that way. It was the educationists and school
- >[...]
- >
-
- The look-say method of teaching children how to read is merely
- the most notorious example of the Educational establishment
- running amok. The New Math was another. The problem is that
- professors of education (who are largely responsible for these
- disasters) are as isolated from the "real" world as other
- professors. Just as many mathematicians know only their own
- mini-field --- and no applications --- many education professors
- know only THEIR minifield, etc. Many professors of education
- have about as much experience in teaching preCollege children
- as many computer science professors have programming computers.
- Being part of the problem myself, I'm shouldn't berate others,
- but when we try to reform the world, we should keep an eye on
- how practical our proposals are. Keep in mind that ALL reforms
- will be imposed on the schools by ignorant school boards, corrupt
- state gov'ts, and fashion-conscious school administrators.
-
- >
- >>>>I also had a science teacher who didn't know sh*t about science, and I
- >>>>could tell it then (didn't dare _say_ anything about it). He was trying
- >>>>[...]
- >> This is a recurrent complaint. We've all had one or more "incompe-
- >>tent" teachers. Public teachers must teach the class, a very heterogeneous
- >>group. If the idea is to sell basic science ideas, it should be presented
- >>[...]
-
- When I was in High School, I was at the alleged 7th best HS in
- California. I encountered History teachers who didn't know
- History, Science teachers who didn't know science, etc. I do
- believe that many teachers simply do not know their subject.
- The problem is so huge that I am not sure what to do about it.
- Certainly the problem will remain so long as teachers are
- underpayed.
-
- One thing not being mentioned: American teachers have been
- underpayed for a VERY LONG time. When Dickens visited the USA,
- he was favorably impressed by our educational system (and
- unfavorably impressed by almost everything else). That was
- the era of Ichabod Crane: the underpayed travelling schoolteacher.
- About that time, school boards discovered that they could get
- good staff for about a third the price by hiring young,
- educated women. Until the 1960s, preCollege education was
- dominated by female teachers who had very few other professional
- options. That is how American schools could get first-rate
- teachers for the College-bound.
-
- Well, women's lib put an end to all that. Bright women don't
- have to work for peanuts any more. But local gov't refuses
- to adjust to a more European pay scale (and professional
- standards), and the result is a muddled mixture of desperate
- idealists, burnouts, incompetents, and survivors. A perfect
- system with a perfect curriculum is doomed to fail until
- we improve the profession.
-
- >>>>But grammer school was mostly based on one's ability to memorize random
- >>>>facts, not on one's ability to figure stuff out.
-
- An appalling amount of preCollege education still works this
- way. Its easier to teach & then use multiple choice exams.
-
- >[...]
- >I have occasionally taught courses taken by prospective mathematics teachers.
- >Many of my colleagues teach those candidates more often. They all would like
- >to be able to flunk most of them. So they have had calculus; but they can
- >only do routine, and not even that well. Does an undergraduate who has taken
- >two full years of calculus have time to forget it? I have had 16 out of 21
- >[...]
-
- I am more concerned about future teachers who don't seem to
- like math. They can do the problems, sure, but they regard
- math as some dreadful chore. I'm sure that they're going
- to communicate these feelings to their students.
-
- -----Greg McColm
- --
- SHAMELESS AD: Math PhDs in Analysis, Discrete Math./Th. of Comp., Num. Anal.,
- Prob., are invited to apply to the Math. Dept. of Univ. of S. Florida for
- research/teaching positions that may be available: contact K. L. Pothoven at
- mathdept@math.usf.edu. Deadline 2/1/93. USF is a politically correct employer.
-