How to Teach

Chapter 10

Chapter 103,875 wordsPublic domain

In order to maintain this critical attitude to select and reject suggestions with reference to a goal, the suggestions as they come cannot be accepted as units and followed. Such a procedure is possible only when the mental process is not controlled by an end. Control by a goal necessitates analysis of the suggestions and abstraction of what in them is essential for the particular problem in hand. It is because no complete association at hand offers a satisfactory response to the situation that the need for thinking arises. Each association as it comes must be broken up, certain parts or elements emerge, certain relationships, implications, or functions are made conscious. Each of these is examined in turn; as they seem to be valueless for the purpose of the thinker, they are rejected. If one element or relationship seems significant for the problem, it is seized upon, abstracted from its fellows, and becomes the center of the next series of suggestions. A part, element, quality, or what not, of the situation is accepted as significant of it for the time being. The part stands for the whole--this is characteristic of all thinking. As a very simple illustration, consider the following one reported by Dewey:

"Projecting nearly horizontally from the upper deck of the ferryboat on which I daily cross the river, is a long white pole, bearing a gilded ball at its tip. It suggested a flag pole when I first saw it; its color, shape, and gilded ball agreed with this idea, and these reasons seemed to justify me in this belief. But soon difficulties presented themselves. The pole was nearly horizontal, an unusual position for a flag pole; in the next place, there was no pulley, ring, or cord by which to attach a flag; finally, there were elsewhere two vertical staffs from which flags were occasionally flown. It seemed probable that the pole was not there for flag-flying.

"I then tried to imagine all possible purposes of such a pole, and to consider for which of these it was best suited: (_a_) Possibly it was an ornament. But as all the ferryboats and even the tugboats carried like poles, this hypothesis was rejected. (_b_) Possibly it was the terminal of a wireless telegraph. But the same considerations made this improbable. Besides, the more natural place for such a terminal would be the highest part of the boat, on top of the pilot house, (_c_) Its purpose might be to point out the direction in which the boat is moving.

"In support of this conclusion, I discovered that the pole was lower than the pilot house, so that the steersman could easily see it. Moreover, the tip was enough higher than the base, so that, from the pilot's position, it must appear to project far out in front of the boat. Moreover, the pilot being near the front of the boat, he would need some such guide as to its direction. Tugboats would also need poles for such a purpose. This hypothesis was so much more probable than the others that I accepted it. I formed the conclusion that the pole was set up for the purpose of showing the pilot the direction in which the boat pointed, to enable him to steer correctly."[8]

The problem was to find out the use of the flag pole. No adequate explanation came as the problem presented itself; it therefore caused a state of uncertainty, of suspended judgment, and a process of thinking in order to get an answer. Each suggestion that came was analyzed, its requirements and possibilities checked up by the actual facts and the goal. The suggestions that the pole was simply to carry a flag, was an ornament, was the terminal of a wireless telegraph, were examined and rejected. The final one, that the pole was to point out the direction in which the boat was moving, upon analysis seemed most probable and was accepted. The one characteristic of the pole, that it points direction, and its position, need to be accepted as the essential facts in the situation, for the particular problem. Without control of the process, without the two steps of analysis and abstraction, no conclusion could have been reached.

Analysis and abstraction may be facilitated in three ways. First, by attentive piecemeal examination. The total situation is examined, element by element, attentively, until the element needed is reached or approximated. This method of procedure helps to emphasize minor bonds of association which the element possesses in the learner's experience but which he needs to have brought to his attention. It can only be used when the element is known to some degree. It is the method to use when elements are known in a hazy, incomplete, or indefinite way and need clearing up. Second, by varying the concomitant. An element associated with many situations, which vary in other respects, comes to be felt and recognized as independent. This is the method to use when a new element in a complex is to be taught. Third, by contrast. A new element is brought into consciousness more quickly if it is set side by side with its opposite. Of course, this is only true provided the opposite has already been learned. To present opposites, both of which are new or only partially learned, confuses the analysis instead of facilitating it.

Reasoning, as the highest type of thinking, includes all that thinking in general does, and adds some particular requirement which differentiates it from the simpler forms. Further discussion of it, then, should make clearer the essential in thinking as a process, as well as make clear its most difficult form. Reasoning is defined by Miller as "controlled thinking,--thinking organized and systematized according to laws and principles and carried on by use of superior technique."[9] Reasoning, then, is the kind of thinking that deals directly with laws and principles. Much thinking may be carried on without any overt, definite use of laws and principles, as in constructive imagination or in apperception, but, if this is so, it seems better to call the thinking by one of the other names. Of course this classification is somewhat arbitrary, but there can be no question that types of thinking do differ. As has already been noted, some psychologists have used the terms thinking and reasoning as synonyms, but such usage has resulted in confusion and has not been of practical value. It is only as the mental process desired becomes clearly conceived of, its connotations and denotation clearly defined, that it becomes a real goal towards Which a teacher or learner may strive. This, then, is the primary criterion of reasoning--that the thinker be dealing consciously with laws and principles. An acceptance of this first essential makes clear that the particular process of reasoning cannot be carried on in subjects which lack laws and principles. Spelling, elementary reading, vocabulary study, most of the early work in music and art, the acquisition of facts wherever found--these situations may offer opportunity for thinking, but little if any for reasoning. Because a teacher is using the development method does not mean necessarily that her students are reasoning. The two terms are not in any way synonymous.

The second essential in reasoning is the presence of a definite technique. This technique consists of two factors: first, certain definite mental states, and second, the use of the process of thinking by either the inductive or the deductive method.

First as to the mental states involved. The fact that the thinking deals with laws and principles necessitates the presence, in the thinking process, of constructive verbal or symbolic imagery, logical relationships, logical concepts, and explicit judgments. This does not at all exclude other types of these mental states and entirely different mental states. The kind of analysis involved simply necessitates the presence of these types, whatever others may be present. Constructive symbolic imagery has already been discussed. Logical relationships are those that are independent of accidental conditions, are not dependent on mere contiguity in time and space, but are inherent in the association involved. Such relationships are those of likeness and difference, cause and effect, subject and object, equality, concession, and the like. Logical concepts are those which are the result of thinking, whose definite meaning has been brought clearly into consciousness so that a definition could be framed. A child has some notion of the meaning of tree, or man, or chemist, and therefore possesses a concept of some kind, but the exact meaning, the particular qualities necessary, are usually lacking, and so it could not be called a logical concept. Explicit judgments are those which contain within themselves the reasons for the inference. They, too, are the result of thinking. One may say that "cheating is wrong," or that "water will not rise above its source level," or that "cleanliness is necessary to health," or that "this is a Rembrandt"--as a matter of experience, habit, but without any reflection and with no reasons for such judgment. If, on the other hand, the problems to which these judgments are answers had been a matter of thinking, the reasons or the ground for such judgment would have become conscious and the judgment then become explicit. It must be evident that in any problems dealing with laws and principles the mental states involved must be definite, clear cut, logically sound, and their implications thoroughly appreciated and understood.

The second element in the technique necessary in reasoning is the use of either the inductive or the deductive method in the process. Induction requires--a problem, search for facts with which to solve it, comparison and analysis of those facts, abstraction of the essential likenesses, and conclusion. Deduction requires--a problem, the analysis of the situation and abstraction of its essential elements, search for generals under which to classify it, comparison of it with each general found, and conclusion. It is unfortunate that in the discussions of induction and deduction the differences have been so emphasized that they have been regarded as different processes, whereas the likenesses far outweigh the differences. An examination of the requirements of each as stated above shows that the process in the two is the same. Not only do both involve reasoning and therefore require the major steps of analysis and abstraction present in all thinking, but both also involve search and comparison. Both, of course, involve the same kind of mental states. At times it is very difficult to distinguish between them. Although for practical purposes it is necessary, sometimes, to stress the differences, the inherent similarity should not be lost sight of.

The differences between these two methods of reasoning are, first, in the locus of the problem; second, in the order of the steps of the process; third, in the relative proportion of particulars and generals used; fourth, in the devices used, (1) In induction the problem is concerned with a general. In some situation a concept, law, or principle has proven inadequate as a response. The question is then raised as to what is wrong with it and the inductive process is instigated. The problem is solved when the principle or concept is perfected or enlarged--in other words, is made adequate. In deduction the problem is concerned with the individual situation. Some problem is raised by a particular fact or experience and is answered when it is placed under the law or concept to which it belongs. Deduction is, practically the classification of particulars. (2) The order of steps is different. In induction, because present knowledge falls short, the major step of analysis necessary to abstraction of the essential is impossible, and therefore the search for new facts must come first, whereas in deduction, the analysis of the particular situation results in a search for generals and a classification of the situation in question. (3) In induction many particular facts may be necessary before one concept or principle is made adequate, while in deduction many concepts or principles may be examined before one particular is classified. (4) In induction the hypothesis is used as a device to make clear the possible goal; in deduction the syllogism is used as a device to make clear the conclusion which has been reached, to throw into relief the classification and the result coming from it.

In this discussion, induction and deduction have been treated, for the sake of clearness, as if they acted independently of each other, as if a thinker might at one time use deduction and at another time induction. They have been outlined in such a way that one might think that the movement of the mind in one process was such that it precluded the possibility of the other process. This is not so--the two are inextricably mingled in the actual process of reasoning, and further, induction as used in practical life always involves deduction at two points, as an initial starting point and as an end point. The knowledge that a certain principle is inadequate comes to consciousness through the attempt to classify some particular experience under it. Failure results and the inductive process may then be initiated, but this initial attempt is deductive and if it had been successful there would have been no need of induction. After the inductive process is complete and the general principle has been classified or perfected, the final step is testing it to see if it is adequate, first by applying it to the particular problem which caused the whole process, and then to new situations. If it tests, it is accepted,--if not, further induction is necessary. This again is deduction. Not only is induction not complete without deduction, but each deduction influences the principle which is applied, making it more sure and more flexible. Even in the process of induction, there are attempts to classify these facts which are being gathered under suggested old principles, or half-formed new ones, before the process is completed. This is a deductive movement, even though it prove unsatisfactory or impossible. Dewey describes this interaction by saying, "There is thus a double movement in all reflection: a movement from the given partial and confused data to a suggested comprehension (or inclusive) entire situation; and back from this suggested whole--which as suggested is a meaning, an idea--to the particular facts, so as to connect these with one another and with additional facts to which the suggestion has directed attention."[10] However true this intermingling of induction and deduction may be, the fact still remains true that in any given case the major movement is in one direction or the other, and that therefore in order to insure effective thinking measures must be taken accordingly. As a child formulates his conception of a verb, or words the characteristic essentials of the lily-family, or frames the rule for addition of fractions or the action of a base on a metal, he is concerned primarily with the form of the reasoning process known as induction. When he classes a certain word as a conjunction, a certain city as a trade center, a certain problem as one in percentage, he is using deduction. Complexes and gradual shadings of one state into another, not clearly defined and sharply differentiated processes and states, are characteristic of all mental life.

Another unfortunate statement with regard to induction and deduction is that the former "proceeds from particulars to generals" and the latter from "generals to particulars." Both of these statements omit the starting point and leave the thinker with no ground for either the particulars or the generals with which he works. The thinker is supposed, let us say, to collect specimens of flowers in order to arrive at a notion of the characteristics of a certain class--but why collect these rather than any others? True, in the artificial situation of a schoolroom or college, the learner often collects in a certain field rather than another, simply because he is told to. But in daily life he would not be told to---the incentive must come from some particular situation which presents a problem and therefore limits the field of search. The starting point must be a particular experience or situation. The same thing is true in deduction, although the syllogistic form has often been misleading. "Metals are hard; iron is a metal, therefore iron is hard." But why talk about metals at all--and if so why hardness rather than color or effect on bases or some other characteristic? Of course, here again it is some particular problem that defines the search for the general and directs attention to some class characteristics rather than to others. Not only is the starting point of all reasoning some definite situation for which there is no adequate response, but the end point must naturally be the same. A particular problem demanding solution is the cause for reasoning, and, of course, the end of the process must be the solution of that problem.

From the foregoing it must not be concluded that the processes of induction and deduction are manifested only in connection with reasoning. In fact, their use as a conscious tool of technique in reasoning comes only after considerable experience of their use when there was no conscious purpose and no control. A little child's notion of dog, or tree, or city--in fact, all his psychological concepts necessitate the inductive movement, but it has taken place in his spontaneous thinking and the meanings have evolved after considerable experience without any definite control on his part. So with deduction. As he recognizes this as a chestnut tree, that as a rocking chair, as he decides that this is wrong or that it is going to clear, he is classifying things, or conduct, or conditions, and so is following the deductive movement. But the judgments may come as a result of past experience, may be spontaneous and involve no protracted controlled activity which has been defined as thinking. Man's mind works spontaneously both inductively and deductively, and hence the possibility of control of these operations later. Thinking is an outgrowth of spontaneous activity; reasoning is but an application of the natural laws of mental activity to certain situations.

The laws of readiness, exercise, and effect govern thinking just as they do all other mental processes. Thinking is not independent of habit; it is not a mysterious force other than association which deals with novel data. Thinking is merely an exhibition of the laws of habit under certain definite situations. At first sight this seems to be impossible, because, as has been emphasized throughout this chapter, thinking takes place when no satisfactory response is at hand and when nothing is offered by past experience which is adequate. As a result of the thinking, responses are reached which never before have occurred as a result of that situation. Just the same they are reached only because of the operation of the laws of habit. It must be borne in mind that the laws of association do not work in such a way that only gross total situations are bound to total responses. In man particularly, situations are being continually broken up into elements, and those elements connected with responses. Responses are being continually disintegrated, and elements, instead of the whole response, being bound to situations. Analysis is continually taking place merely as a result of the working of these laws. If the nervous mechanism of man were not of this hair-trigger variety, if elements did not emerge from a total complex as a result of bonds formed, of readiness of certain tracts, no willing, no attention on the part of the thinker, would ever bring about analysis. This is made very vivid when one is met by a problem he cannot solve. If the situation does not break up, if the right element does not emerge, if the right cue is not given, he is helpless. All he can do is to hold fast to his problem and wait. As the associations are offered, he can select and reject, but that is all. The marvelous power of the genius, the inventor, the reasoner in all fields, is merely an exhibition of the laws of association working with extremely subtle elements. It seems to transcend all experience because these elements and the bonds which experience has formed cannot be observed. A child fails in his thinking often because he uses his past experience and responds by analogy--we note that fact and criticize him for it. But he succeeds for just the same reason and by the use of just the same laws. James long ago showed conclusively that association by similarity, which is one of the prominent types used in reasoning, was only the law of habit working with elements of novel data.

The fact that thinking is determined by its aim rather than by its antecedents has also been given a mysterious place as apart from association. The thinker who chose the right associate, the one that led him towards his goal rather than some other, was called sagacious. But, after all, this being governed by an aim is nothing more than the operation of the law of readiness among intellectual bonds. One associate is chosen and another rejected because one is more satisfying than another. Certain bonds are made more ready than others because of the general set or attitude of the thinker, and therefore any associate using those bonds brings satisfaction and is retained. "The power that moves the man of science to solve problems correctly is the same that moves him to eat, sleep, rest, and play. The efficient thinker is not only more fertile in ideas and more often productive of the 'right' ideas than the incompetent is; he is also more satisfied by them when he gets them, and more rebellious against the futile and misleading ones. We trust to the laws of cerebral nature to present us spontaneously with the appropriate idea, and also _to prefer that idea to others."_[11]

The reasons for failure of teachers and educators of all kinds to train people to think are numerous. (1) Scarcity of brains which work primarily in terms of connections between subtle elements, relationships, etc. (2) Lack of knowledge or incorrect knowledge, due to narrow experience or poor memory. (3) Lack of the necessary habits of attention and criticism. (4) Lack of power of the more abstract and intellectual operations to bring satisfaction, due partly to original equipment and partly to training. (5) Lack of power to do independent work, due to poor training. Schools cannot in any way make good the deficiency which is due to a lack of mental capacity. They can, and should, do something to provide knowledge which is well organized around experiences which have proved vital to pupils. Something can undoubtedly be done in the way of cultivating the habit of concentration of attention, and of making more or less habitual the critical attitude. Within the range of the ability which the individuals to be educated possess, the school may do much to give training which will make independent work or thinking more common in the experience of school pupils, and therefore much more apt to be resorted to in the case of any problematic situation.