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Topic: Failing Linear Algebra:
Replies: 54   Last Post: Jan 10, 2007 12:47 PM

 Messages: [ Previous | Next ]
 Michael Stemper Posts: 441 Registered: 12/13/04
Re: Failing Linear Algebra:
Posted: Apr 30, 2004 12:48 PM

>mmanch01@my-deja.com (maky m.) wrote in message news:<188f56bf.0404231216.2fa757ac@posting.google.com>...
>> Anonymous wrote in message news:<c98b1ba0.0404221444.4623535e@posting.google.com>...

>> > I don't get all the terms, concepts, and jargon.
>>

>
>Sometimes. I try to. Sometimes I understand it and I can continue to

That's exactly the mistake that I made when I was in college, as a
hopeful math major. I'd read something, say to myself, "I understand
that", and move on. That's why, after three semesters, I was looking
for a new major. If there's one thing that I learned in college, it's
that you can't read a math testbook as if it were _1, 2, 3, Infinity_
of _The Education of T. C. Mits_.

Now, some xx years later, I'm resuming the study of math. What I do
now is read half a page, or maybe a page. Then, I stop, go back, and
challenge every line that I've read.

"An <X> is a <Y> with <a>, <b>, and <c>": Okay, do I remember what a
<Y> is? Can I think of a <Y> that doesn't have <b>? What's so special

Then, I encounter a proof. I read it through once. Then, I go right
back to the beginning, and ask myself what the proof is about. Sometimes,
I need to slow down and figure out what the real, deeper meaning of
the hypothesis is. Then, for each step of the proof, I force myself
to actually state how and why it follows from the previous step. This
sometimes means that I need to look at the justification given in my
book, and say "but why is *that* true?" This leads to going back and
reviewing a previous result.

As some famous dead Greek guy said, "There is no royal road to
geometry." This stuff takes work.

--
Michael F. Stemper
#include <Standard_Disclaimer>
The name of the story is "A Sound of Thunder".
It was written by Ray Bradbury. You're welcome.

Date Subject Author
4/22/04 Guest
4/22/04 Michael N. Christoff
1/10/07 Gerry Myerson
1/10/07 Jonathan Miller
1/10/07 Guest
1/10/07 David C. Ullrich
1/10/07 Acid Pooh
1/10/07 Guest
4/23/04 Brian Borchers
4/27/04 Guest
1/10/07 maky m.
4/26/04 David Ames
1/10/07 Guest
1/10/07 Michael Stemper
1/10/07 maky m.
4/23/04 Porker899
4/27/04 Guest
1/10/07 Abraham Buckingham
1/10/07 Mitch Harris
1/10/07 Guest
1/10/07 Grey Knight
1/10/07 Guest
1/10/07 Toni Lassila
1/10/07 Thomas Nordhaus
1/10/07 George Cox
4/28/04 Dave Rusin
4/28/04 George Cox
4/28/04 George Cox
4/29/04 Marc Olschok
4/29/04 Mitch Harris
4/29/04 Robert Israel
4/28/04 Guest
4/29/04 Guest
1/10/07 Dave Rusin