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From my own experience in sight correction and reduction
(with several different kinds of tables, with a calculator,
and by hand), I conclude that the principal source of errors is
BLUNDERS. (I am a professional mathematician).
Researchers who
investigated this confirm that this is the case with professional
seamen as well.

The simpler and more uniform the procedure is, less likely are blunders.
(Understanding of what you are doing, is a completely separate question.
It is good and useful to understand all steps). But when it comes to
practice, more automatic is the procedure, less the probability
of blunders.

There should be as little as possible "cases" and "exceptions".

Alex.

   

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