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Re: Graphing Calculators (fwd)
Posted:
Oct 29, 1995 12:07 PM


Forwarded message: From chsu@pppl.gov Sun Oct 29 12:05:15 1995 From: ChiTien Hsu <chsu@pppl.gov> MessageId: <199510291705.MAA12499@tom.pppl.gov> Subject: Re: Graphing Calculators To: roitman@oberon.math.ukans.edu (Judy Roitman) Date: Sun, 29 Oct 1995 12:05:10 0500 (EST) Cc: chsu@pppl.gov Precedence: InReplyTo: <9510291624.AA13422@titania.math.ukans.edu> from "Judy Roitman" at Oct 29, 95 10:24:44 am XMailer: ELM [version 2.4 PL23] MIMEVersion: 1.0 ContentType: text/plain; charset=USASCII ContentTransferEncoding: 7bit
> > ChiTien Hsu wrote: > > >When they can devide well, showing them why we need > >to invent fraction will be "natural".. > > I believe fractions were known long before decent methods of division were > invented. Thousands of years, in fact  the Greeks knew quite a lot about > rational numbers, but decent arithmetic algorithms for division had to wait > for decent notation. >  > Judy Roitman, Math, University of Kansas, Lawrence, KS 66049, 9138644630 > > > Judy:
Now, when we write paper, do we always write those sequences in accordance with how we originally were deriving? NO! We wrote it in a way that those unorganized thought, which has too many personal, accidental thought patterns, be put into a logical flow in a much well organized way. Why? because it becomes more "natural" for readers.
Similar here.
Geometrical realization of fraction of course can be done without division, however, it does not yet give fruitful arithematic meaning. I welcome demonstration of geometrical meaning of fraction way before division without but to save students' limitted time in school, not too long before they are ready to do the real fraction arithematic. IMHO . ChiTien



