On Mar 13, 3:44 pm, "[email protected]"
<[email protected]> wrote:
> Anyone familiar with Jerry Uhl's "Calculus & Mathematica" method of
> teaching???

I took several courses from Jerry Uhl in the late 70's, early 80's,
and it was a great experience.  The essay at the link is classic JJ.

In 1992 I taught integral calculus to a small group of first-term
freshman using the Calculus & Mathematica materials.  We met one day a
week in a classroom and then three days a week in a lab setting.  I
had an undergraduate TA to help with lab sessions.  I chose to do a
lot of grading of the electronically submitted worksheets.  Here's
another +1 for TinyMCE - the ability to insert legible comments in
student work to be returned to the students.

I thought it was a good experience for the students.  It gave them
competency in different ways than a traditional class.  I wouldn't say
they learned *more*, but they became adapt at certain things (such as
visualizing global/local behavior of functions, applications of
definite integrals, convergence of power series) while not reinforcing
other skills (algebraic manipulation, techniques of integration,
calculation).  Folks on this list would probably say that was an
improvement.

The course was an experiment and in a small department we didn't have
the luxury of continuing to run it in parallel with our regular
courses, and there wasn't sufficient enthusiasm to cutover to this
style en masse.

However, I continue to borrow ideas to use in my own courses from this
experience.  Which explains *some* of my enthusiasm for Sage.  For
example, I may try to do a better job of motivating series in a weeks'
time by first "playing around" in Sage with some power series obtained
by any tricks possible (algebra, polynomial division) other than the
traditional Taylor polynomial via derivatives.  I'm hoping it will
motivate students to ask about questions of convergence/divergence
*before* being told about it.  I'll probably post separately about
this in the next couple of days.

Rob
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