processes and simple methods of solution, contained in the books, are
substituted for the power of comprehension by the pupil
The second cause of failure may be found in the fact that rules,
processes and simple methods of solution, contained in the books, are
substituted for the power of comprehension by the pupil. He should be
trained to seize an example mentally, whether the slate is to be used or
not, and hold it until he can determine by what process the solution is
to be wrought. Nor is it a serious objection that he may not at first
avail himself of the easiest method. The difference between methods or
ways is altogether a subordinate consideration. There may be many ways
of reaching a truth, but no one of them is as important as the truth
itself. The text-books should contain all the facts needed for the
comprehension and the solution of the examples given; the teacher should
furnish explanations and other aids, as they are needed; but the
practice of adopting a process and following it to an apparently
satisfactory conclusion, without comprehending the problem itself, is a
serious educational evil, and it exerts a permanent pernicious
influence.