No definite rules can be given for the detailed conduct of a class in
any subject. If it were possible to formulate such rules, all the
personal magnetism of the teacher, all the enthusiasm, all the
originality, all the spirit of the class, would depart, and we should
have a dull, dry mechanism. There is no one best method of teaching
geometry or anything else. The experience of the schools has shown that
a few great principles stand out as generally accepted, but as to the
carrying out of these principles there can be no definite rules.
Let us first consider the general question of the employment of time in
a recitation in geometry. We might all agree on certain general
principles, and yet no two teachers ever would or ever should divide the
period even approximately in the same way. First, a class should have an
opportunity to ask questions. A teacher here shows his power at its
best, listening sympathetically to any good question, quickly seeing the
essential point, and either answering it or restating it in such a way
that the pupil can answer it for himself. Certain questions should be
answered by the teacher; he is there for that purpose. Others can at
once be put in such a light that the pupil can himself answer them.
Others may better be answered by the class. Occasionally, but more
rarely, a pupil may be told to "look that up for to-morrow," a plan
that is commonly considered by students as a confession of weakness on
the part of the teacher, as it probably is. Of course a class will waste
time in questioning a weak teacher, but a strong one need have no fear
on this account. Five minutes given at the opening of a recitation to
brisk, pointed questions by the class, with the same credit given to a
good question as to a good answer, will do a great deal to create a
spirit of comradeship, of frankness, and of honesty, and will reveal to
a sympathetic teacher the difficulties of a class much better than the
same amount of time devoted to blackboard work. But there must be no
dawdling, and the class must feel that it has only a limited time, say
five minutes at the most, to get the help it needs.
Public-domain text, read in full here on John Shaqi.
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