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[apcalculus] Re: Math as Puzzle (Problem) Solving
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[apcalculus] Re: Math as Puzzle (Problem) Solving
Posted:
May 15, 2000 3:34 PM


At 8:16 AM 0400 5/15/00, Mikalac Norman S NSSC wrote this and more: >i'd like more discussion of this response. if math (including Calculus) >isn't used for problem (puzzle) solving, like other branches of logic, then >what ARE the reasons for using it? art form? philosophy? "because it's >there"? > >we engineers and scientists consider math JUST A TOOL to solve problems. >true, in any math course one has to learn to progress to higher math (diff >eqs, LaGrangian Dynamics, Networks, etc.) to solve more esoteric problems, >but they all boil down to problem (puzzle) solving.
Not really. There is the puzzle solving aspect of math, but there is also the gut level understanding of calculus ideas that take root in the mind and provide the base for moving onward and upward. Without this gut level understanding, engineers and scientists might well chose the wrong math tool.
  Jerry Uhl juhl@ncsa.uiuc.edu Professor of Mathematics, University of Illinois at UrbanaChampaign Member, Mathematical Sciences Education Board of National Research Council Calculus&Mathematica, Vector Calculus&Mathematica, DiffEq&Mathematica, Matrices,Geometry&Mathematica, NetMath
http://wwwcm.math.uiuc.edu , http://netmath.math.uiuc.edu, and http://matheverywhere.com
"Is it life, I ask, is it even prudence, To bore thyself and bore the students?"
. . . Johann Wolfgang von Goethe
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