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- From: elg@elgamy.uucp.taronga.com (Eric Lee Green)
- Message-ID: <00721013472@elgamy.uucp.taronga.com>
- Date: 5 Nov 92 19:31:12 CDT
- Newsgroups: sci.math,sci.physics,sci.astro,sci.bio,sci.chem,misc.education
- Subject: Re: Is Math Hard?
- Distribution: world
- Organization: Eric's Amiga 2000 @ Home
- References: <Bx79Lo.LG1@mentor.cc.purdue.edu> <1992Oct20.194912.9362@bigsky.dillon.mt.us> <1c6ojuINNgeo@agate.berkeley.edu> <1992Nov4.044300.15766@cbfsb.cb.att.com>
- Lines: 66
-
- From article <Bx79Lo.LG1@mentor.cc.purdue.edu>, by hrubin@pop.stat.purdue.edu (Herman Rubin):
- > In article <1992Nov4.044300.15766@cbfsb.cb.att.com> wa2ise@cbnewsb.cb.att.com (robert.f.casey) writes:
- > 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.
-
- On the other hand...
-
- I'm currently teaching math to 4th graders. Of the kids in my room, only
- one of them really has any conception of numbers. The rest... 10-2=12 makes
- perfect sense to them ("0-2 is 2, isn't it, Mr. Green?"). Simple word
- problems like "Jake has 46 cents, he loses a quarter out of his pocket, how
- much money does he have now?" absolutely mystify them. I have the one kid
- who knows math playing with a problem-solving deck (a bunch of "story
- problems"), which he loves to do because he can take problems that are
- simple to him, show them to another member of the class, and the other
- member just doesn't get it. He loves that feeling, being able to do
- something no other member of the class can do. Not to mention that it's
- more "fun" than plodding through the same old rote stuff :-). In fact, he
- does it for entertainment during his free time! But the other kids...
-
- The district-mandated textbook doesn't help. It has all sorts of fancy
- number theory -- but it just touches lightly upon it. The kids learn how to
- manipulate a few things, but they don't UNDERSTAND. I taught them how to do
- rounding via a rote algorithm, for example, because they don't have the
- "number sense" to see that 5 is pretty much halfway between 0 and 10 and
- thus doing it visually via a number line just doesn't work (except for the
- one kid, of course!). I apologize in advance to Mr. Rubin for teaching
- rounding in that way... but I tried teaching it in a couple of different
- ways, and the rote algorithm is the only way they could round numbers.
- They've been doing rote for so many years that anything that actually
- requires THOUGHT just confuses them. (Before Mr. Rubin flames me for
- short-changing the math wiz of the class -- he got it the first time
- through, with the non-rote explanation about going to the nearest
- hundred/thousand/etc. on the number line, and thereafter entertained
- himself with math games on the computer and the problem-solving deck while
- the rest of the class struggled).
-
- I'm not sure what the solution is. I don't know what to do, given the
- limitations I'm placed under in terms of text and mandated curriculum. Any
- hints, Mr. Rubin and others?
-
- > The system is broke. There is no way that we can get enough competent
- > teachers NOW. These teachers can only dumb down thinking children.
- ^^^
-
- Sure there is.
-
- All you have to do is get enough retired engineers, old mathematicians,
- etc., then put them into the schools with adequate curriculum and support.
- What we may need to do is go to the German elementary school system, where
- each child has two teachers -- one teacher teaches math and science and the
- other teaches "soft" subjects. This accomplishes two things -- it gives the
- regular teacher a 2 hour break to recharge and plan for the next day (and
- believe me, we need it!), and it turns math and science into something like
- PE, where one teacher can serve many students (though a typical elementary
- school would need 4 or 5 math/science teachers to serve all its students --
- an added expense that many districts won't want to bear, given current
- administrative costs of having so many extra teachers :-).
-
- --
- Eric Lee Green elg@elgamy.taronga.com Dodson Elementary
- (713) 664-6446 Houston, TX
- "Kids are kids, no matter what"
-