The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Education » math-teach

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Precalculus topics
Replies: 21   Last Post: Aug 26, 2006 11:58 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Kirby Urner

Posts: 4,713
Registered: 12/6/04
Re: Precalculus topics
Posted: Aug 17, 2006 1:30 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

The pre in prehistory has a couple of spins.

There's "before we agree on how to tell the story" in the sense of mythical stuff we could get away with before more forensic evidence was insisted upon (e.g. hominids originally picked up somewhere near Baghdad, emigrating from a certain Garden -- you'll need to prove that with the archeological record, or admit it's a myth, i.e. prehistory, i.e. some kind of prefrequency tale).

Then there's "previous in the sense of a priori" (whereas history, shall we say, is a lot a posteriori i.e. accidental -- it could have been otherwise in other words (but then aren't the maths more certain, more logical?)).

In the Hegelian view, mythical language occurs as we slide up the walls of the bowl, approaching the limits of our world, as mirrored in propositions (pre linguistic turn talk).

Literal history is more an antithesis, directly opposite pure reason in its spatio-temporal essentiality (the ultimate special case Universe).

So dialectic is always around the periphery -- no one ever challenges literal truths directly, unless they're asking to be considered crazy. New paradigms come in from the edges, for their brief turn in the sun (cite Kuhn).

I agree that the precalculus of yore has been superseded. There's no point trying to "improve" it, as the terrain is no longer considered prime real estate.

Almost no one wants to hang out a shingle as "precalculus teacher" any more; not a viable career option. We've moved on to other labels, a new namespace, one Haim doesn't seem concerned enough to actually study, but why should he? He's not a tenth grader, thinking ahead about what might be a worthwhile use of his talents and skills. He's let himself off the hook, when it comes to envisioning our future. It's all about money for him, and bank examiners (yawn).


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.