Re: the calculus wars

nate (schmolze who-is-at students.wisc.edu)
Fri, 21 May 1999 21:29:15 -0500

> I agree, Nate, that we don't want to reduce education to mere job
> preparation (a concern, not only at the high school level, but
increasingly
> at post-secondary levels, as well). I also like the idea of providing a
> broader conceptual view of how mathematics enters into a process of
> production. My beef (not necessarily with you) is that what often
> characterizes the "unique form of cultural activity" in schools is the
way
> in which we manage to take things like math, writing, reading, second
> languages and pound and dessicate them into such an unpalatable mass that
> it becomes impossible for students to see them as something useful and
> desirable. I still hold out the possibility, however, that we may be
able
> to invent some new forms of cultural activity involving trig and calculus
> that might serve the students well in their later lives. ---Tim
>
I agree very much with your comments. I guess partly what I was going
against was the reproducing of school like other forms of cultural
activity. First a question is there is a unified other in the sense of
school being put against as in real or authentic. I do think educational
activity is unique in certain ways that differ from "other" activities, but
that does not necessarily imply all other activities are unified as in
real.

I also strongly dislike how school has been differentiated against "other"
activities, but see school as being unique not so much in its isolation
from "real life" but its role on looking at that life in a different way.
In this sense calculus or other areas of math should not so much be
approached at making them pertinant to activity outside of school, but
allowing us to see that activity in a different way. Maybe the so lets
make everything pertinant to real life reminds me of Lysynko a little bit.
A way of thinking in which theory (schooling) is judged by how well it
pertains to practice (real life). A idea of school that allows us to
reflect or refleX, a play on letters from the praxis discussion, on or see
activities outside of school in a way which would be difficult within the
activity itself. I guess I lean towards a unity in contrast to
subordinating education to the imaginary of real life.

This kind of uniqueness may be more difficult in math but I would not rule
it out. Awhile back I took a geometry which was approached in a somewhat
historical fashion in which we focused on algebra type problems by only
using geometry. While this course was a struggle it did open up a new way
of viewing math in another way besides algebra. A machine shop is another
example in that while one could bypass geometry, geometry allows one to
view a machine shop in a radically different way.

Nate