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Re: Defining the derivative
Posted:
Jun 6, 2000 9:03 PM
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I'm afraid I've been misunderstood. I don't mean that the first mention of
rate of change is going to be a limit definition. I mean that when you do
develop a limit definition, I'd like to know which one you use and why. Of
course, if you never get to any limit defintion at all, then the question
does not apply.
BTW, in response to the suggestion (I forget from whom) that I present one
form of the definition and ask the students to work out the other, I'm not
in the habit of presenting either one. My recent practice has been to get
the students to develop one of the limit definitions. For my dissertation
work, I was shepherding volunteers through that process and discovered that
their text used the other form, which was an unanticipated change from when
I planned the project. This made me think about the difference between the
two definitions and led me to wonder what, if any, difference it makes to
student understanding. That's the source of the question.
Lisa
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>From: LnMcmullin@AOL.COM
>To: ldmurphy@students.uiuc.edu, calc-reform@e-math.ams.org
>Subject: Re: Defining the derivative
>Date: Mon, Jun 5, 2000, 6:10 PM
>
> In a message dated 6/5/00 15:31:16 Eastern Daylight Time,
> ldmurphy@students.uiuc.edu writes:
>
> <<
> Which do you think is the better place to start, and why?
>
> Lisa
>
> >>
>
> Neither. Get a hold of the Hughes-Hallett calculus book and read Chapter 2.
> That's the way to start. IMHO
>
> Lin McMullin
> Ft. Collins, Colorado
>
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