in arithmetic, that they know that this particular
principle is not the one which they need. It
is often by a process of elimination that a child can
best explain a grammatical construction, either in
English or in a foreign language. Of course the
elimination of the principle or law which is not the
right one means simply that we are reducing the number
of chances of making a mistake. If out of four
possibilities we can immediately eliminate two of
them, there are only two left to be considered.
After children have discovered the generalization
or principle involved, it is well to have them state
definitely the inference which they make. Just
as in the inductive process we pass almost immediately
from the step of comparison and abstraction to the
statement of generalization, so in the deductive lesson,
when once we have related the particular case under
consideration to the principle which explains it, we
are ready to state our inference. Verification
involves the trying out of our inference to see that
it certainly will hold. This may be done by proposing
some other inference which we find to be invalid,
or by seeking to find any other law or principle which
will explain our particular situation. Here again,
as in the inductive lesson, the skillful teacher makes
his greatest contribution by having children become
increasingly careful in this step of verification.
Almost any one can pass through the several stages
involved in deductive thinking and arrive at a wrong
conclusion. That which distinguishes the careful
thinker from the careless student is the sincerity
of the former in his unwillingness to accept his conclusions
until they are verified.
The Drill Lesson. The drill lesson is so clearly
a matter of fixing habits that little needs to be
added to the chapter dealing with this subject.
If one were to attempt to give in order the steps of
the process involved, they might be stated as follows:
(1) establishing a motive for forming the habit; (2)
knowing exactly what we wish to do, or the habit or
skill to be acquired; (3) recognition of the importance
of the focusing of attention during the period devoted
to repetitions; (4) variation in practice in order
to lessen fatigue and to help to fix attention; (5)
a recognition of the danger of making mistakes, with
consequent provision against lapses; (6) the principle
of review, which may be stated best by suggesting
that the period between practice exercises may only
gradually be lengthened.
Possibly the greatest deficiency in drill work, as
commonly conducted, is found in the tendency upon
the part of some teachers to depend upon repetition
involving many mistakes. This is due quite frequently
to the assignment of too much to be accomplished.
Twenty-five words in spelling, a whole multiplication
table, a complete conjugation in Latin, all suggest
the danger of mistakes which will be difficult to eliminate
later on. The wise teacher is the one who provides
very carefully against mistakes upon the part of pupils.
He assigns a minimum number of words, or a number
of combinations, or a part of a conjugation, and takes
care to discover that children are sure of themselves
before indulging in that practice which is to fix
the habit.