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Agreed. You have hit on a pet peeve of mine, the "imitative algebraic
problem solving technique". Another annoying trend in texts the use of
nice numbers (like 30 degree angles) which lend themselves to getting the
right answer using the wrong reasoning.
I recently made up a test and went to my old freshman physics text as a
source of questions. I was struck by the fact that so many of the
questions began with the word "show". I can't remember seeing any of those
in the texts we have used lately, but maybe we need to get back to more
non-numerical calculations.
J. D. Sample (501) 698-4625
Math-Physics Dept sample@lyon.edu
Lyon College
2300 Highland Road
Batesville, Arkansas 72501