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 <email@example.com> 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.