Re: Not Just the US With Education Problems
- From: Paul J Gans <gans@xxxxxxxxx>
- Date: Sun, 8 Jun 2008 23:27:54 +0000 (UTC)
tgdenning@xxxxxxxxxxxxx wrote:
On Jun 8, 2:58 am, "Mike Dworetsky" <platinum...@xxxxxxxxxxxxxxxxxxxx>
wrote:
"Paul J Gans" <g...@xxxxxxxxx> wrote in messagenews:g2f2bi$87q$4@xxxxxxxxxxxxxxxxxxxx
Walter Bushell <pr...@xxxxxxx> wrote:
In article <6ask8qF38sc6...@xxxxxxxxxxxxxxxxxx>,
"alwaysaskingquestions" <alwaysaskingquesti...@xxxxxxxxx> wrote:
Some of it may have to do with personal inclination - I have always been
fascinated with both puzzles in general and with knowing how things
work; in
my first job - just before the introduction of desktop calculators - I
had
to learn how to use a slide rule and was thought it was a fantastic
invention.
Just how old are you. Frieden calculators from the styling my predate
WWII and maybe I.
The Friden calculator was in major use up through 1970. I recall
doing the calculations for a paper on one in that year.
Fridens had 10 digit keyboards and the high end models could
automatically extract square roots of 20 digit numbers.
See <http://www.oldcalculatormuseum.com/fridenstw.html> for
a view of a late model.
I was at an advanced summer school for teens in 1961 and we had to do orbit
calculations with calculators (!). During the course of the programme we
took delivery of the latest Friden calculator that could extract square
roots. For amusement one day we tried taking concatenated square roots of a
number several times then squared it back up again. And that's when we
learned a practical lesson about the meaning of precision and significant
digits in computations.
An excellent example. By removing the time, tediousness, and human
error associated with doing monkey-work by hand, a far more expansive
lesson can be delivered. And that was with technology from almost 50
years ago.
Carl Friderich Gauss, undoubtedly one of the most brilliant
mathematicians who ever lived, wasted three years of his
live manually calculating the orbit of the moon. Given
his productivity, we lost out on a bunch of "Gauss's
Theorems" and tons of insights.
--
--- Paul J. Gans
.
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