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Topic: stop teaching shifting & stretching?
Replies: 14   Last Post: Oct 19, 1998 8:58 AM

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William J. Larson

Posts: 117
Registered: 12/3/04
Re: stop teaching shifting & stretching?
Posted: Oct 15, 1998 11:46 AM
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Foerster. Why does it matter?

Message text written by INTERNET:ap-calc@ets.org
>
What is the text?

Dave Slomer
Retired AP Calculus teacher
http://www.geocities.com/capecanaveral/lab/8692
-----Original Message-----
From: William J. Larson <Bill_Larson@compuserve.com>
To: Multiple recipients of list <ap-calc@ets.org>
Date: Wednesday, October 14, 1998 8:26 AM
Subject: Re: stop teaching shifting & stretching?


>OK, my post produced a lot of response. Everyone said "NO."
>Several were excited. So I'd guess I'd better respond to the responses.=


>I've just switched over to a text that uses graphers (They arrived late
>from =3D
>
>the publisher) and a rather complicated equation was presented in the te=

x=3D
>t
>(f(x) =3D3D (x -2)^(1/3) + 3) as it appears in the grapher screen withou=

t
>explanation. =3D
>
>I immediately launched into A "start with x^3, which you know, reflect,
>shift, =3D
>
>voila!" routine. But then afterwards wondered why the text had not. =3D=


>
>Fine I agree with the consensus. I'm very happy to teach shifting, etc.=


>But let me ask a broader question. The invention of calculators meant t=
h=3D
>at
>
>we did not have to teach slide rules. The invention of scientific
>calculators
>meant that we did not have to teach log & trig tables. We now must teac=

h=3D
> =3D
>
>(& exercise) grapher use, so something (at least in principle) must go a=

n=3D
>d
>hopefully can go. What is it? Hopefully enough can go that I can add =3D=


>
>something eg. matrices that I have never had time for. No such luck?
>
>Bill Larson
>Geneva<






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