Ontario Normal School Manuals: Science of Education — Edition Insights

FURTHER EXAMPLES OF INDUCTIVE LESSONS

As further illustrations of an inductive process, the following outlines of lessons might be noted. The processes are outlined according to the formal steps. The student-teacher should consider how the children are to approach each problem and to what extent they are likely to generalize as the various examples are being interpreted during the analytic stage.

1. THE SUBJECTIVE PREDICATE ADJECTIVE

_Analysis, or selection:_

Divide the following sentences into subject and predicate:

The weather turned cold.

The concert proved successful.

What kind of man is referred to in the first sentence? What part of speech is "old"? What part of the sentence does it modify? In what part of the sentence does it stand? Could it be omitted? What then is its duty with reference to the verb? What are its two duties? (It completes the verb "was" and modifies the subject "man.")

Lead the pupils to deal similarly with "cold," "stormy," "ill," "successful."

_Comparison, Abstraction, and Generalization, or Organization:_

What two duties has each of these italicized words? Each is called a "Subjective Predicate Adjective." What is a Subjective Predicate Adjective? (A Subjective Predicate Adjective is an adjective that completes the verb and modifies the subject.)

2. CONDENSATION OF VAPOUR

_Analysis, or selection:_

The pupils should be asked to report observations they have made concerning some familiar occurrences like the following:

(1) Breathe upon a cold glass and upon a warm glass. What do you notice in each case? Where must the drops of water have come from? Can you see this water ordinarily? In what form must the water have been before it formed in drops on the cold glass?

(2) What have you often noticed on the window of the kitchen on cool days? From where did these drops of water come? Could you see the vapour in the air? How did the temperature of the window panes compare with the temperature of the room?

(3) When the water in a tea-kettle is boiling rapidly, what do you see between the mouth of the spout and the cloud of steam? What must have come through that clear space? Is the steam then at first visible or invisible?

The pupils should be further asked to report observations and make correct inferences concerning such things as:

(4) The deposit of moisture on the outside surface of a pitcher of ice-water on a warm summer day.

(5) The clouded condition of one's eye-glasses on coming from the cold outside air into a warm room.

_Comparison, Abstraction, and Generalization, or Organization:_

In all these cases you have reported what there has been in the air. Was this vapour visible or invisible? Under what condition did it become visible?

The pupils should be led to sum up their observations in some such way as the following:

Air often contains much water vapour. When this comes in contact with cooler bodies, it condenses into minute particles of water. In other words, the two conditions of condensation are (1) a considerable quantity of water vapour in the air, and (2) contact with cooler bodies.

It must be borne in mind that in a conceptual or an inductive lesson care is to be taken by the teacher to see that the particulars are sufficient in number and representative in character. As already pointed out, crude notions often arise through generalizing from too few particulars or from particulars that are not typical of the whole class. Induction can be most frequently employed in elementary school work in the subjects of grammar, arithmetic, and nature study.

INDUCTIVE-DEDUCTIVE LESSONS

Before we leave this division of general method, it should be noted that many lessons combine in a somewhat formal way two or more of the foregoing lesson types.

In many inductive lessons the step of application really involves a process of deduction. For example, after teaching the definition of a noun by a process of induction as outlined above, we may, in the same lesson, seek to have the pupil use his new knowledge in pointing out particular nouns in a set of given sentences. Here, however, the pupil is evidently called upon to discover the value of particular words by the use of the newly learned general principle. When, therefore, he discovers the grammatical value of the particular word "Provender" in the sentence "Provender is dear," the pupil's process of learning can be represented in the deductive form as follows:

All naming words are nouns. _Provender_ is a naming word. _Provender_ is a noun.

Although in these exercises the real aim is not to have the pupil learn the value of the individual word, but to test his mastery of the general principle, such application undoubtedly corresponds with the deductive learning process previously outlined. Any inductive lesson, therefore, which includes the above type of application may rightly be described as an inductive-deductive lesson. A great many lessons in grammar and arithmetic are of this type.

=What Constitutes a Lesson Problem.=--The foregoing analysis and description of the learning process has shown that the ordinary school lesson is designed to lead the pupil to build up, or organize, a new experience, or, as it is sometimes expressed, to gain control of a unit of valuable knowledge, presented as a single problem. From what has been learned concerning the relating activity of mind, however, it is evident that the teacher may face a difficulty when he is called upon to decide what extent of knowledge, or experience, is to be accepted as a knowledge unit. It was noted, for example, that many topics regularly treated in a single lesson fall into quite distinct sub-divisions, each of which represents to a certain extent a separate group of related ideas and, therefore, a single problem. On the other hand, many different lesson experiences, or topics, although taught as separate units, are seen to stand so closely related, that in the end they naturally organize themselves into a larger single unit of knowledge, representing a division, of the subject of study. From this it is evident that situations may arise, as in teaching the classes of sentences in grammar, in which the teacher must ask himself whether it will be possible to take up the whole topic with its important sub-divisions in a single lesson, or whether each sub-division should be treated in a single lesson.

=How to Approach Associated Problems.=--Even when it is realized that the related matter is too large for a single lesson, it must be decided whether it will be better to bring on each sub-division as a separate topic, and later let these sub-divisions synthesise into a new unity; or whether the larger topic should be taken up first in a general way, and the sub-divisions made topics of succeeding lessons. In the study of mood in grammar, for example, shall we introduce each mood separately, and finally have the child synthesise the separate facts; or shall we begin with a lesson on mood in general, and follow this with a study of the separate moods? In like manner, in the study of winds in geography, shall we study in order land and sea breezes, trade-winds, and monsoons, and have the child synthesise these facts at the end of the series; or shall we begin with a study of winds in general, and follow this with a more detailed study of the three classes of winds?

=Advantages.=--The second of these methods, which is often called the method of proceeding from whole to parts, should, whenever possible, be followed. For instance, in a study of such a lesson as _Dickens in the Camp_, the detailed study of the various stanzas should be preceded by an introductory lesson, bringing out the leading thought of the poem, and noting the sub-topics. When, in an introductory lesson, the pupil is able to gain control of a large topic, and see the relation to it of a given number of sub-topics, he is selecting and relating the parts of the whole topic by the normal analytic-synthetic method. Moreover, in the following lessons, he is much more likely to appreciate the relation of the various sub-topics to the central topic, and the inter-relations between these various sub-topics. For this reason, in such subjects as history, literature, geography, etc., pupils are often introduced to these large divisions, or complex lesson units, and given a vague knowledge of the whole topic, the detailed study of the parts being made in subsequent lessons.

=Examples.=--The following outlines will further illustrate how a series of lessons (numbered I, II, III, etc.) may thus proceed from a first study of the larger whole to a more detailed study of a number of subordinate parts.

THE ST. LAWRENCE RIVER SYSTEM

_I. Topic.--The St. Lawrence River:_

Position, size, extent of system, other characteristics. Importance--historical, commercial, industrial.

_II. Sub-topic 1.--Importance historically:_

Open mouth to Europe; Open door to continent; Cartier, Champlain. System of lakes and rivers large and small gave lines of communication, inviting discovery and subsequent development and settlement.

_III. Sub-topic 2.--Importance commercially:_

Large tracts of valuable land, timber, etc., made available. Highway--need of such between East and West. Difficulties to be overcome, canal, ships. Competition of railways, How? Classes of goods back and forth. Avenue to and from the wheat land.

_IV. Sub-topic 3.--Importance industrially:_

Great commercial centres--where located and why? Water powers, elevators, manufacturing of raw materials made available in the large areas; Immigration; Fishing.

_I. Topic.--Bacteria:_

What they are; relations, comparisons; other plants in same class, or those of higher orders; size, shape; where found; conditions of growth; propagation; modes of distribution; etc.

_II. Sub-topic 1.--Our interest in bacteria, arising out of the injury or good they do:_

(_a_) Injury: Decay of fruits, trees, tissues, etc., diseases--diphtheria, typhoid, tuberculosis; how developed, conditions, favourable toxins.

(_b_) Benefits: In soil, cheese, butter, etc.; chemical action, building new compounds and breaking up other compounds.

_III. Sub-topic 2.--Our interest in controlling them; the methods based on mode and conditions of growth, etc.:_

(_a_) Prevention: Eliminating favourable conditions; low temperature, high temperatures, cleanliness; sewerage disposal; clean cow-stables, cellars, kitchens, etc.; antiseptics--carbolic, formalin, sugar for fruit, sealing up; quarantine, vaccination, antitoxin.

(_b_) Cultures,--alfalfa, cheese, butter, under control.

What interest to us; why we study it; position, latitude, near water, boundaries, size; Surface features--highlands, lowlands, drainage rivers, coast-line, etc. Climate--temperature (means, Jan., July), wind, moisture.

_II. Sub-topic 1.--Products (based on above conditions):_

Vegetation, animal, mineral; vary over area according to physical climatic, and geological conditions; Kinds of products of each class, in each area, etc.

_III. Sub-topic 2.--Occupations (based on Lesson II):_

Study of operations and conditions favourable and unfavourable under which each product is produced, gathered, and manufactured. Industries, arising from work on the raw materials.

_IV. Sub-topic 3.--Trade and Commerce (based on Lessons II and III):_

Transportation, producers selling and manufacturers buying raw material, distributed to homes in country and city, to factories within the region itself, to regions beyond, across oceans, etc. Manufactured products sent out, exports and imports.

_V. Sub-topic 4.--Civil advantages (based on Lessons I, III, and IV):_

Conditions of living--homes, dress, work and pleasure; trades, education, government, social, religious, etc.

The method of whole to parts cannot be followed in all cases even where a number of lesson units may possess important points of inter-relation. Although, for instance, simple and compound addition and addition of fractions are only different phases of one process, no one would advocate the combining of these into such a unified lesson series. In Canadian History, also, although the conditions of the Quebec Act, the coming of the United Empire Loyalists, and the passing of the Constitutional Act, have definite points of inter-relation, it would nevertheless be unwise to attempt to evolve these out of a single complex lesson unit. In such cases, therefore, the synthesis of the various parts must be made as the lessons proceed. Moreover, it is well to ensure the complete organization of the elements by means of an outline review at the end of the lesson series. The student-teacher will meet an example of this process under the topical lesson in Chapter XVII.

It is evident from the above considerations, that certain precautions should be observed in deciding upon the particular subject-matter to be included in each lesson topic.

1. A just balance should be maintained between the difficulty of each lesson unit and the ability of the class. Matter that is too easy requires no effort in its mastery and hence is uninteresting. Matter that is too difficult discourages effort, and is, therefore, equally uninteresting. It should be sufficiently easy for every pupil to master, and sufficiently difficult to require real effort.

2. The amount of matter included should be carefully adjusted to the length of time taken for the lesson and to the attainments of the class. If too much is attempted, there will be insufficient time for adequate drill and review, and hence there will be lack of thoroughness. If too little is attempted, time will be wasted in needless repetition.

3. Each unit of instruction in any subject should, in general, grow out of the preceding unit taken in that subject, and be closely connected with it. It is in this way that a pupil's interest is aroused for the new problem and his knowledge becomes organized. Neglect in this regard results in the possession of disconnected and unsystematized facts.

Each lesson should contain one or more central facts around which the other facts are grouped. This permits easy organization of the material of the lesson, and ensures its retention by the pupils. Further, the pupils are by this means trained to discriminate between the essential and the non-essential.

=The Developing Lesson.=--In the various lesson plans already considered, the aim has always appeared as an attempt to direct the learning process so that the pupil may both build up a new experience and also gain such control over it as will enable him to turn it to practical use. Because in all such lessons the teacher is supposed to direct the pupils through the four steps of the learning process in such a way that they discover for themselves some important new experience, or develop it out of their own present knowledge, the lessons are spoken of as developing lessons. Moreover, the two parts of the lesson in which the new experience is especially gained by the pupils, namely the selecting and relating processes, are often spoken of as a single step and called the step of _development,_ the lesson then being treated under four heads: Problem, preparation, development, and application.

=Auxiliary Lessons.=--It is evident, however, that there may be lessons in which this direct attempt to have the pupils build up some wholly new experience through a regularly controlled learning process, will not appear as the chief purpose of the lesson. In the previous consideration of the deductive lesson, it was pointed out that this type may be used to give a further mastery of general rules previously learned, rather than a knowledge of particular examples. Such would be the case in an ordinary parsing and analysis lesson in grammar. Here the primary purpose is, evidently, not to give the pupils a grammatical knowledge of the particular words and sentences which are being parsed and analysed, but rather to give them better control of certain general rules of language which they have partially mastered in previous lessons. So also a lesson in writing may seek, not to teach the form of some new letter, but to give skill in writing a letter form which the pupils have already learned. In an exercise in addition of fractions, also, the aim is not so much to have the pupil know these particular questions, as to have him gain a more complete control of the previously learned rule. In other lessons the pupils may be left to secure new knowledge largely for themselves, and the recitation be devoted to testing whether they have been able to accomplish this successfully. In still other lessons the teacher may merely outline a certain topic or certain topics, preparatory to such independent study by the pupils.

The following outlines will explain and exemplify these auxiliary lesson types.

=Purpose of Study Lesson.=--The purpose of the Study Lesson is the mastery by the pupils of a stated portion of the text-book. Ultimately, however it is the cultivation of the power of gleaning information from the printed page, of selecting essential features, and of arranging these in their proper relationships.

The main difficulty in connection with the study lesson is the adaptation of the matter to the interests of the pupils. This difficulty is sometimes due to their inability to interpret the language of the book, and to the difficulty of their distinguishing the salient features from the non-essential. The trouble in this regard is accentuated when they approach the lesson with an inadequate preparation of mind.

The study lesson falls naturally into two parts, the assignment and the seat work.

=The Assignment.=--The object of the assignment is to put the pupils in an attitude of inquiry toward the new matter. It corresponds to the conception of the problem and the step of preparation in the development lesson. The most successful assignment is one in which the interest of the pupils is aroused to such a pitch that they are anxious to read more about the subject. In general it will consist of a recall of those ideas, or a statement of those facts upon which the interpretation of the new matter depends. Most of the unsuccessful study lessons are due to insufficient care in the assignment. Often pupils are told to read so many pages of the book, without any preliminary preparation and without any idea of what facts they are to learn. Under such conditions, the result is usually a very slight interest in the lesson, and consequently an unsatisfactory grasp of it.

=Examples of Assignment.=--A few examples will serve to illustrate what is meant by an adequate assignment. When a new reading lesson is to be prepared, the assignment should include the pronunciation and meaning of the different words, and a general understanding of the passage to be read. For a new spelling lesson, the assignment should include the pronunciation and meaning of the words, and any special difficulties that may appear in them. In assigning a history lesson on, say, the Capture of Quebec, the teacher should discuss with the class the position of Quebec, the difficulties that would present themselves to a besieging army, the character and personal appearance of Wolfe (making him stand out as vividly as possible), and the position seized by the British army, illustrating as far as possible by maps and diagrams. Then the class will be in a mental attitude to read with interest the dramatic story of the taking of the fortress. If the pupils were about to study the geography of British Columbia, the teacher might, in the assignment, ask them to note from the map of Canada the position of the province and the direction of the mountain ranges; to infer the character and direction of the rivers and their value for navigation; to infer the nature of the climate, knowing the direction of the prevailing winds; to infer the character of the chief industries, knowing the physical features and climate. With these facts in mind the class will be able to read intelligently what the text-book says about British Columbia.