
Re: Defining the derivative
Posted:
Jun 6, 2000 9:03 PM


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
 >From: LnMcmullin@AOL.COM >To: ldmurphy@students.uiuc.edu, calcreform@emath.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 HughesHallett calculus book and read Chapter 2. > That's the way to start. IMHO > > Lin McMullin > Ft. Collins, Colorado > >  > > HOW TO UNSUBSCRIBE > > To UNSUBSCRIBE from the calcreform mailing list, > send mail to: > > majordomo@ams.org > > with the following in the message body: > > unsubscribe calcreform your_email_address > > > Information on the subject line is disregarded. >

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