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Topic: new tutor here
Replies: 151   Last Post: Jul 17, 2013 4:09 AM

 Messages: [ Previous | Next ]
 Wayne Bishop Posts: 5,465 Registered: 12/6/04
Re: new tutor here
Posted: Jun 21, 2013 8:01 PM

How do either of you respond to the smart-ass student who says:

"My calculator says e^pi ~ 23.14 and pi^e ~ 22.46. Why are we
wasting time on this?"

Wayne

At 07:43 PM 6/18/2013, Joe Niederberger wrote:
>R Hansen states:
> >Back to the use of visualizations in school. Two scenarios...
>1. I show the students your visual proof that e^pi > pi^e and I ask
>them "Do you see that e^pi > pi^e?"
>2. I show the students your visual proof that e^pi > pi^e and I ask
>them "How does this prove that e^pi > pi^e?"
>
>I wouldn't expect either to make much sense, though with some
>rewording I would say [2] could be something approaching an
>"exercise" (which is all the original problem is.) the original
>problem is a nice classic exercise because it allows many different
>proofs, none of them long. I decided to solve it as I did quite
>
>I must say again, I wouldn't use either of your {1] or [2] in
>school; the original is better, simply: Which is larger..etc. I see
>little value in trying to mold people in one direction.
>
>Here's the pic:
>Simply the log (ln) curve, with points where it intersects (e,1) and
>(pi,log(pi)) noted.
>
>As simple as it seems, I had to sort through a few contenders to
>pick that one as having just the right relations expressed and
>"close to the surface" -- all assuming a little background of course.
>
>If there's simpler picture that "says it all" I'd like to know.
>
>Cheers,
>Joe N

Date Subject Author
6/12/13 Michael Mossey
6/12/13 Wayne Bishop
6/12/13 Michael Mossey
6/13/13 Wayne Bishop
6/13/13 Dave L. Renfro
6/13/13 Joe Niederberger
6/14/13 Robert Hansen
6/14/13 Joe Niederberger
6/14/13 Robert Hansen
6/14/13 Joe Niederberger
6/14/13 Robert Hansen
6/14/13 Joe Niederberger
6/14/13 Robert Hansen
6/15/13 Louis Talman
6/14/13 Michael Mossey
6/15/13 Robert Hansen
6/14/13 GS Chandy
6/16/13 GS Chandy
6/15/13 Louis Talman
6/15/13 Joe Niederberger
6/16/13 Robert Hansen
6/15/13 Pam
6/16/13 Robert Hansen
6/15/13 Pam
6/16/13 Wayne Bishop
6/16/13 Joe Niederberger
6/16/13 Robert Hansen
6/16/13 Joe Niederberger
6/17/13 Robert Hansen
6/16/13 Michael Mossey
6/17/13 GS Chandy
6/17/13 GS Chandy
6/17/13 Pam
6/17/13 Robert Hansen
6/17/13 Pam
6/17/13 Robert Hansen
6/17/13 Pam
6/17/13 Pam
6/17/13 Joe Niederberger
6/17/13 Robert Hansen
6/17/13 Joe Niederberger
6/17/13 Joe Niederberger
6/18/13 Robert Hansen
6/17/13 GS Chandy
6/18/13 GS Chandy
6/18/13 GS Chandy
6/18/13 GS Chandy
6/18/13 Joe Niederberger
6/18/13 Robert Hansen
6/18/13 Joe Niederberger
6/18/13 Joe Niederberger
6/18/13 Robert Hansen
6/18/13 Joe Niederberger
6/18/13 Joe Niederberger
6/18/13 Robert Hansen
6/18/13 Robert Hansen
6/18/13 Joe Niederberger
6/19/13 Robert Hansen
6/19/13 Robert Hansen
6/21/13 Wayne Bishop
6/21/13 Wayne Bishop
6/19/13 Joe Niederberger
6/19/13 Robert Hansen
6/19/13 Joe Niederberger
6/19/13 Robert Hansen
6/19/13 Joe Niederberger
6/19/13 Robert Hansen
6/19/13 Joe Niederberger
6/19/13 Robert Hansen
6/19/13 Robert Hansen
6/19/13 Joe Niederberger
6/19/13 Joe Niederberger
6/19/13 Joe Niederberger
6/19/13 Robert Hansen
6/21/13 Joe Niederberger
6/21/13 Robert Hansen
6/21/13 Joe Niederberger
6/21/13 Robert Hansen
6/21/13 Joe Niederberger
6/21/13 Robert Hansen
6/21/13 Joe Niederberger
6/21/13 Joe Niederberger
6/21/13 Dave L. Renfro
6/22/13 Robert Hansen
6/22/13 Robert Hansen
6/22/13 Joe Niederberger
6/22/13 Robert Hansen
6/22/13 Robert Hansen
6/23/13 Joe Niederberger
6/23/13 Robert Hansen
6/23/13 Robert Hansen
6/23/13 Joe Niederberger
6/23/13 Robert Hansen
6/24/13 Robert Hansen
6/24/13 Joe Niederberger
6/24/13 Joe Niederberger
6/24/13 Joe Niederberger
6/25/13 GS Chandy
7/10/13 Dave L. Renfro
7/10/13 Robert Hansen
7/10/13 Joe Niederberger
7/10/13 Robert Hansen
7/10/13 Robert Hansen
7/10/13 Robert Hansen
7/11/13 Joe Niederberger
7/11/13 Robert Hansen
7/11/13 Joe Niederberger
7/11/13 Robert Hansen
7/11/13 Robert Hansen
7/11/13 GS Chandy
7/11/13 Joe Niederberger
7/11/13 Robert Hansen
7/11/13 Robert Hansen
7/11/13 Louis Talman
7/11/13 Robert Hansen
7/12/13 Wayne Bishop
7/12/13 Louis Talman
7/12/13 Wayne Bishop
7/12/13 Robert Hansen
7/12/13 Gary Tupper
7/12/13 Wayne Bishop
7/12/13 Louis Talman
7/11/13 Joe Niederberger
7/11/13 Robert Hansen
7/11/13 Joe Niederberger
7/11/13 GS Chandy
7/12/13 Wayne Bishop
7/12/13 Joe Niederberger
7/12/13 Wayne Bishop
7/12/13 GS Chandy
7/12/13 Joe Niederberger
7/13/13 Robert Hansen
7/13/13 GS Chandy
7/13/13 Joe Niederberger
7/13/13 Wayne Bishop
7/13/13 Robert Hansen
7/13/13 Robert Hansen
7/13/13 Peter Duveen
7/14/13 Joe Niederberger
7/14/13 Joe Niederberger
7/14/13 Joe Niederberger
7/14/13 Robert Hansen
7/14/13 GS Chandy
7/15/13 Wayne Bishop
7/15/13 Joe Niederberger
7/15/13 Robert Hansen
7/15/13 Peter Duveen
7/15/13 Joe Niederberger
7/16/13 GS Chandy
7/16/13 Wayne Bishop
7/16/13 GS Chandy
7/17/13 GS Chandy