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

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dslomer

Posts: 61
Registered: 12/6/04
Re: stop teaching shifting & stretching?
Posted: Oct 14, 1998 10:23 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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 =
>
>the publisher) and a rather complicated equation was presented in the tex=
>t
>(f(x) =3D (x -2)^(1/3) + 3) as it appears in the grapher screen without
>explanation. =
>
>I immediately launched into A "start with x^3, which you know, reflect,
>shift, =
>
>voila!" routine. But then afterwards wondered why the text had not. =
>
>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 th=
>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 teach=
> =
>
>(& exercise) grapher use, so something (at least in principle) must go an=
>d
>hopefully can go. What is it? Hopefully enough can go that I can add =
>
>something eg. matrices that I have never had time for. No such luck?
>
>Bill Larson
>Geneva
>

>> At 01:54 PM 10/12/98 -0400, William J. Larson wrote:
>> >Since my calculus students will have graphers, is it the =
>
>> >consensus that I should stop teaching my precalculus =
>
>> >students such tricks to aide graphing as shifting & stretching
>> >functions and symmetry? I'd love to stop teaching this, because it
>> >would free time for other "essential" topics, which I do not
>> >get to.
>> >
>> >Bill Larson
>> >Geneva

>> --------------------------------------------------------------
>
>
>Wayne and I must both be slow. I don't get the joke either. =
>
>
>And I have to agree that if it isn't tongue in cheek, it's scary.








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