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- Xref: sparky sci.math:18687 misc.education:6105
- Newsgroups: sci.math,misc.education
- Path: sparky!uunet!destroyer!ncar!ra.cgd.ucar.edu!jweiss
- From: jweiss@ra.cgd.ucar.edu (Jeffrey Weiss)
- Subject: Re: Why algebra and what is important?
- Message-ID: <1993Jan23.204816.9469@ncar.ucar.edu>
- Sender: news@ncar.ucar.edu (USENET Maintenance)
- Organization: Climate and Global Dynamics Division/NCAR, Boulder, CO
- References: <C105z9.J6t@mentor.cc.purdue.edu> <190744.12287mccarthy@washpost.com> <00727673896@elgamy.jpunix.com>
- Date: Sat, 23 Jan 1993 20:48:16 GMT
- Lines: 34
-
- In article <00727673896@elgamy.jpunix.com> elg@elgamy.jpunix.com (Eric Lee Green) writes:
-
- >BTW: Herman notes in another message that he discounts the "basics". Well
- >-- unfortunately, all mathematics taught at higher grade levels assumes
- >that the kid can do basic arithmetic without the aid of a calculator. As
- >much as I wish otherwise, basic arithmetic is thus what I have to teach.
- >I play with math with the kid who can play math well, but otherwise,
- >well... how can a kid pass the TAAS (required to go to the next grade
- >level) if he can't add, subtract, multiply, or divide? Answer: He can't.
-
- For me the important distinction is how one teaches the basics. I
- have taught math in every elementary grade, partly through a wonderful
- program called Project SEED. Their technique is to do advanced
- conceptual mathematics. But, as Eric points out, this does require
- that the kids do basic arithmetic. I see no contradiction in this,
- since it motivates the students to do, and thus learn, basic
- arithmetic. For example, one curriculum used with 4-6th graders dealt
- with a new (for them) binary operation, exponentiation. This of
- course requries that they multiply, and the kids were very eager to
- multiply long strings of number to find, say, 4^10, since it had a
- context where they cared about the answer.
-
- I like an analogy with carpentry. Our current math teaching is like
- giving someone a pile of nails and wood, making them drive nails for a
- few years until they learn to do it perfectly, and only then letting
- them do something interesting, i.e. build something. How boring! I
- think its much better to let them build something fun (and kids do
- find conceptual math fun, if taught right) even if its a little
- rickety because they are not great at driving nails. In the process
- they not only learn the basics, but learn why they should care about
- the basics.
- --
- Jeff
- jweiss@ncar.ucar.edu
-