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 As a retired teacher I cannot remember how the complex wave
equation 
y=Aexp(i[kx-wt]) was first encountered in my own education.
Recently I 
began to wonder how this would be introduced, anyway.
Accepting the 
necessity of its use in QM, I wanted to ask how teachers today
related 
this complex _expression_ to mind's-eye reality early in the
educational 
process, or whether they would simply show the concept as a
math tool 
to have practical applications later. 
           
               
               
       
respectfully,       Tim
Wagner 
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