Ontario Normal School Manuals: Science of Education

by Ontario. Department of Education

Analysis Depends upon Selection.—It is not in the above sense, however, that the term analysis is to be applied in the learning process. It is not true, for instance, when a person is presented with a strange object, say an ornithorhynchus, and realizes it in only a vague way, that any mere analysis of the object will discover for him the various characteristics which are to synthesize into a knowledge of the animal. This would imply that in analysis the mind merely breaks up a vaguely known whole in order to make of it a definitely known whole. But the learner could not discover the characteristics of such an object unless the mind attended to it with certain elements of its former experiences. Unless, for instance, the person already knew certain characteristics of both birds and animals, he could not interpret the ornithorhynchus as a bird-beaked animal. In the case of the child and the mud-turtle, also, there could have been no analysis of the problem in the way referred to, had the child not had the ideas, bug and basket, as elements of former experience. These characteristics, therefore, which enter into a definite knowledge of the object, do not come out of the object by a mere mechanical process of analysis, but are rather read into the object by the apperceptive process. That is, the learner does not get his new experience directly out of the presented materials, but builds up his new experience out of elements of his former knowledge. In other words, the learner sees in the new object, or problem, only such characteristics as his former knowledge and interest enable him to see. Thus while the learner may be said from one standpoint to analyse the new problem, this is possible only because he is able to break up, or analyse, his former experience and read certain of its elements into the new presentation. To say that the mind analyses the unknown object, or topic, in any other sense, would be to confound mental interpretation with physical analysis.

A Further Example.—The following example will further show that the learner can analyse a presented problem only to the extent that he is able to put characteristics into it by this process of analysing or selecting from his past experience. Consider how a young child gains his knowledge of a triangle. At first his control of certain sensations enables him to read into it two ideas, three-sidedness and three-angledness, and only these factors, therefore, organize themselves into his experience triangle. Nor would any amount of mere attention enable him at this stage to discover another important quality in the thing triangle. Later, however, through the growth of his geometric experience, he may be able to read another quality into a triangle, namely two-right-angledness. This new quality will then, and only then, be organized with his former knowledge into a more complete knowledge of a triangle. Here again it is seen that analysis as a learning process is really reading into a new presentation something which the mind already possesses as an element of former experience, and not gaining something at first hand out of the presented problem.

Problem Directs Selection.—It will be well to note here also that the selecting of the interpreting ideas is usually controlled by the problem with which the mind is engaged. This is indicated from the various ways in which the same object may be interpreted as the mind is confronted with different problems. The round stone, for instance, when one wishes to crack the filbert, is viewed as a hammer; when he wishes to place his paper on the ground, it becomes a weight; when he is threatened by the strange dog, it becomes a weapon of defence. In like manner the sign x suggests an unknown quantity in relation to the algebraic problem; in relation to phonics it is a double sound; in relation to numeration, the number ten. It is evident that in all these cases, what determines the meaning given to the presented object is the need, or problem, that is at the moment predominant. In the same way, any lesson problem, in so far as it is felt to be of value, forms a starting-point for calling up other ideas, and therefore starts in the learner's mind a flow of ideas which is likely to furnish the solution. Moreover, the mind has the power to measure the suitability of various ideas and select or reject them as they are felt to stand related to the problem in hand. For example, when a pupil is engaged in a study of the grammatical value of the word driving in the sentence, "The boy driving the horse is very noisy," it is quite possible that he may think of the horse at his own home, or the shouting of his father's hired man, or even perhaps the form of the word driving, if he has just been viewing it in a writing lesson. The mind is able, however, to reject these irrelevant ideas, and select only those that seem to adjust themselves to the problem in hand. The cause of this lies in the fact that the problem is at the outset at least partly understood by the learner, which fact enables him to determine whether the ideas coming forward in consciousness are related in any way to this partially known topic. Thus in the example cited, the learner knows the problem sufficiently to realize that it is a question of grammatical function, and is able, therefore, to feel the value, or suitability, of any knowledge which may be applied to it, even before he is fully aware of its ultimate relation thereto.

LAW OF PREPARATION

Control of Old Knowledge Necessary.—But notwithstanding the direction given the apperceptive process through the aim, or problem, it is evident that if the pupil is to select from his former experiences the particular elements which bear upon the problem in hand, he must have a ready and intelligent control over such former knowledge. It is too evident, however, that pupils frequently do not possess sufficient control over the old knowledge which will bear upon a presented problem. In endeavouring, for example, to grasp the relation of the exterior angle to the two interior and opposite angles, the pupil may fail because he has not a clear knowledge of the equality of angles in connection with parallel lines. For this reason teachers will often find it necessary (before bringing old knowledge to bear upon a new problem) to review the old knowledge, or experience, to be used during the apperceptive process. Thus a lesson on the participle may begin with a review of the pupils' knowledge of verbs and adjectives, a lesson on the making of the colours orange and green for painting a pumpkin with its green stem may begin with a recognition of the standard colours, red, yellow, and blue, and the writing of a capital letter with a review of certain movements.

Preparation Recalls Interpreting Ideas.—It must be noted that this review of former knowledge always implies, either that the pupil is likely to have forgotten at least partially this former knowledge, or that without such review he is not likely to recall and apply it readily when the new problem is placed before him. For this reason the teacher is usually warned that his lesson should always begin with a review of such of the pupil's old knowledge as is to be used in mastering the new experiences.

VALUE OF PREPARATION

A. Aids the Understanding.—The main advantage of this preparatory work is that it brings into clear consciousness that group of ideas and feelings best suited to give meaning to the new presentation. Without it, the pupil may not understand, or only partially understand, or entirely misunderstand the lesson. (1) He may not understand the new matter at all because he does not bring any related facts from his past experience to bear upon it. Multiplication of decimals would in all probability be a merely mechanical process if the significance of decimals and the operation of multiplying fractions were not brought to bear upon it, the pupil not understanding it at all as a rational process. (2) He may only partially understand the new matter because he does not see clearly the relation between his old ideas and the new facts, or because he does not bring to the new facts a sufficient equipment of old ideas to make them meaningful. The adverbial objective would be imperfectly understood if it were not shown that its functions are exactly parallel with those of the adverb. The pupil would have only a partial understanding of it. (3) He may entirely misunderstand the new facts because he uses wrong old experiences to give them meaning. Such was evidently the difficulty in the case of the young pupil who, after a lesson on the equator, described it as a menagerie lion running around the earth. Many of the absurd answers that a pupil gives are due to his failure to use the correct old ideas to interpret the new facts. He has misunderstood because his mind was not prepared by making the proper apperceiving ideas explicit.

B. Saves Time.—There is the further advantage of economy of time, when an adequate preparation of the mind has been made. When the appropriate ideas are definitely in the forefront of consciousness, they seize upon kindred impressions as soon as these are presented and give them meaning. On the other hand, when sufficient preparation has not been made, time must be taken during the presentation of the new problem to go back in search of those experiences necessary to make it meaningful. Frequent interruptions and consequent waste of time will be inevitable. Time will be saved by having the apperceiving ideas ready and active.

C. Provides for Review.—One of the most important values of the preparatory step is the opportunity given for the review of old ideas. These have to be revived, worked over, and reconstructed, and in consequence they become the permanent possessions of the mind. The pupil's knowledge of the functions of the adverb is reviewed when he learns the adverb phrase and adverb clause, and is still further illuminated when he comes to study the adverbial objective. Further, the apperceiving ideas become more interesting to the pupil, when he finds that he can use them in the conquest of new fields. He has a consciousness of power, which in itself is a source of satisfaction and pleasure.