III

But to make more definite requirements is, after all, only the first

step in improving efficiency. It is not sufficient that one know what

results are wanted; one must also know how these results may be

obtained. Improvement in method means improvement in efficiency, and a

crying need in education to-day is a scientific investigation of methods

of teaching. Teachers should be made acquainted with the methods that

are most economical and efficient. As a matter of fact, whatever is done

in that direction at the present time must be almost entirely confined

to suggestions and hints.

Our discussions of methods of teaching may be divided into three

classes: (1) Dogmatic assertions that such and such a method is right

and that all others are wrong--assertions based entirely upon _a priori_

reasoning. For example, the assertion that children must never be

permitted to learn their lessons "by heart" is based upon the general

principle that words are only symbols of ideas and that, if one has

ideas, one can find words of his own in which to formulate them. (2) A

second class of discussions of method comprises descriptions of devices

that have proved successful in certain instances and with certain

teachers. (3) Of a third class of discussions there are very few

representative examples. I refer to methods that have been established

on the basis of experiments in which irrelevant factors have been

eliminated. In fact, I know of no clearly defined report or discussion

of this sort. An approach to a scientific solution of a definite problem

of method is to be found in Browne's monograph, _The Psychology of

Simple Arithmetical Processes_. Another example is represented by the

experiments of Miss Steffens, Marx Lobsien, and others, regarding the

best methods of memorizing, and proving beyond much doubt that the

complete repetition is more economical than the partial repetition. But

these conclusions have, of course, only a limited field of application

to practical teaching. We stand in great need of a definite experimental

investigation of the detailed problems of teaching upon which there is

wide divergence of opinion. A very good illustration is the controversy

between the how and the why in primary arithmetic. In this case, there

is a vast amount of "opinion," but there are no clearly defined

conclusions drawn from accurate tests. It would seem possible to do work

of this sort concerning the details of method in the teaching of

arithmetic, spelling, grammar, penmanship, and geography.

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