JhS:*.-!!*^ W~~rwW ■/yW Class. Book. I i / ^- Copyiight N?_ ? COPYRIGHT DEPOSIT. THE DOCTRINE OF FORMAL DISCIPLINE IN THE LIGHT OF EXPERIMENTAL INVESTIGATION l&urattottal Jfigrlinloga iHonngrapIiB iE&itrb by (Sug ManttOBt B31]t;]]]U No. 16 The Doctrine of Formal Discipline in the Light of Experimental Investigation [i.'^ BY Nellie Pi'Hewins, Ph.D., Pd.D. New York University Instructor in Biology, Newton High School, New York City BALTIMORE: WARWICK & YORK, Inc. 1916 v^\x Copyright. 1916, by Wabwick & York, Inc. NOV -8 i9!5 ©CIA44553'; EDITOR'S PREFACE The chief problems of educational psychology evi- dently include the nature of mental endowment, or the original nature of man, the nature of the learning process and the nature of training. The last-named issue has occasioned within the last decade a quite unusual amount of debate, for, on the one hand, its outcome is of the first importance for educational theory, while, on the other hand, its solution, on ac- count of the complexity of the questions involved, is far from being obvious or simple. Not long ago, as a result of the earlier experimental studies, it was felt by many that transfer of training was present either not at all or at least in such slight amounts as to be negligible. More recently, the pendulum has certainly swung in the other direction. Experimentation has been directed less toward searching for the existence of transfer than to searching for the kind of transfer present and the conditions under which it appeared. One factor in this shift of attack upon the problem as a whole has been the conviction that experimentation conducted upon children still in their formative years and under the more natural conditions of their every- day life might very well reveal the presence of formal training that could not be demonstrated with adults in the psychological laboratory. The work presented by Dr. Hewins in the present monograph will be found closely similar in general conception to that presented by Dr. Rugg in his recent monograph. In conjunction with the laboratory testing of children reported in our series by Dr. Wang, VI THE DOCTRINE OF FORMAL DISCIPLINE these monographs are bound to exert a considerable influence upon current thinking as to the nature and extent of the transfer of training. Dr. Hewins' summary of previous work upon the problem will prove most helpful to students. Her own experiments have the particular merit of being readily repeated by classroom teachers in the same field. G. M. W. CONTENTS Introduction 1 Part I. Historical I. Aims of Investigators 4 Psychological 4 1. Experiments on the effect of training of one kind of sensitiveness on other kinds of sensitive- ness 4 2. Experiments on the accm-acy of voluntary ef- fort and the effect of special training on the general rapidity and accuracy of motor ad- justments 5 3. Experiments on the effect of special training on the general rapidity and accuracy of memor- izing 5 4. Experiments on cross-education or the transfer- ence of practice from one member to a sym- metrical one 6 Pedagogical 7 II. Means, Methods, Results and Conclusions of Experi- mental Investigations 9 Psychological Experiments 10 1. Effect of training of one kind of sensitiveness on other kinds 10 2. Experiments on the accuracy of volimtary effort and the effect of special training on the gen- eral rapidity and accuracy of motor adjust- ments 15 3. Experiments on the effect of special training on the general rapidity and accuracy of memor- izing 25 4. Data derived from experimentation in regard to the effect of the training of one organ upon the bilaterally symmetrical one, or closely related member 28 vii Vlll CONTENTS Pedagogical Experiments 31 1. Mathematics 31 2. Spelling 36 3. English Grammar 36 4. Mental Traits 37 A. Memory 37 B. Habits 42 C. Concentration of attention 42 D. Observation 43 E. Quickness, accm-acy, attention, etc 43 F. Ideas of Method 44 G. Ideals 44 III. Summary of the Historical Review 46 Pakt II. Original Investigation I. Introduction 49 II. Subjects 50 III. Time Schedule of Tests 50 IV. Practice Series 51 V. Method of Conducting the Tests 52 VI. Details of the Tests 53 VII. Marking the Tests and Use of the Scores 71 VIII. Tables and summaries 74 CONCLTJSIONS Ill Comparison of Results with Those of Pedagogical Experi- ments 113 Bibliography 115 Appendix 119 The Doctrine of Formal Discipline in the Light of Experimental Investigation INTRODUCTION It would seem to be entirely superfluous to explain what is meant by the doctrine of formal discipline, for since the epoch-making experiments of James (25, 54)1 a little more than a decade ago, this theory has occupied the center of the controversial stage of pedagogical problems. Since the Middle Ages, when the doctrine flourished in justification of the classical learning, or even from earlier times as claimed by Locke (31) in his statement "Formal disciphne has been invoked from Plato's time to the present as a defense of the courses in mathematics," the theory of formal discipline has been held as almost axiomatic, but with the abandonment of the old ''faculty" psy- chology, it has lost its main prop and its subsequent subjection to experimental investigation has left the theory on a somewhat unstable foundation. We can- not estabhsh the truth or the falsity of the doctrine on a 'priori grounds in this scientific age, but must subject it to many careful, scientifically conducted and controlled experiments covering a wide range of school subjects and performed with school children of various ages, grades, mental attainments, and environ- ments; for its reliability cannot be based longer upon 1 Reference numbers in parentheses refer to the bibliography at the end of the book. Z THE DOCTRINE OF FORMAL DISCIPLINE psychological experiments, pure and simple, per- formed upon a few adults in college laboratories with complex apparatus. The experimental investigations until within the last few years have been mainly psychological, con- ducted by professors of colleges with college or uni- versity students or instructors as subjects, neces- sarily few in number; and only recently have tests been made with school children. Of these, a small number have been tried in this country, and they have been for the most part confined to the elementary schools. Judd (28) describes formal discipline as the "great problem of High-School education." The sub- jects of the elementary school are studied mainly for their content value and their practical relationship to the future normal life of the child fitted for the de- mands of his environment. Grammar may be a pos- sible exception, although this should be taught from the standpoint of improving the child's English, rather than as a mental discipline. In the high school, however, nearly every study claims as one of the best reasons for its introduction into, or continuance in, the course of study, some definite mental training which will carry over into other walks of life, however re- motely related. Mathematics is said to train the reason- ing powers, science the observational abilities, liter- ature and history the imagination, etc. Thus we can agree with Judd (28) that the ''final answer of the question will relate to the work of the High School." We must not argue or speculate about the matter, but we must investigate these claims for the various studies and support them by definite tests or refute them by similar carefully conducted and controlled experiments. Many experiments will be required INTEODUCTION 6 upon all the subjects and under varying conditions, before we can generalize scientifically as to the validity of the doctrine. But with the question of the value of the disciplinary view of the studies in the balance, it would be well to look to the content side until such time as the theory has been definitely proved or dis- proved. Burt's (10) advice is to ''emphasize and extend the elements shared by the curriculum and the conditions of school in common with the conditions and requirements of life." The experiments performed and described by the author have been undertaken with the object of con- tributing a mite to the countless ones necessary to determine the validity or falsity of the disciplinary conception^ especially as applied to high-school sub- jects. PART I. HISTORICAL. I. Aims of Investigators. Reviewing the experimental researches on this topic, we find that while the aims of the investigators have been manifold, they may be grouped under sev- eral main divisions. First, we may classify them as primarily psychological or primarily pedagogical. Psychological. 1. Experirnents on the effect of training of one kind of sensitiveness on other kinds of sensitiveness. These include those of Bennett (6) to test the effect on dis- crimination of length by the eye as a result of practice in discriminating length by arm^mov ements; those of Wallin (58, 60) to attempt to control the reversions in a number of reversible perspective outlines; those of Seashore and Jenner (42) on the training of the voice by the aid of the eye in singing; those of Coover and Angell (12) to test the general practice effect of special exercise, including experiments on the transfer of practice effects in sound to light discriminations, and the transference of practice in sorting cards to ''typewriter reactions"; those of Thorndike and Woodworth (53) on the effects of practice in estimating length of lines on estimating length of lines, areas, and weights; on the effects of practice in picking out and marking words of some one special sort on the observation of words containing certain combinations of letters and picking out and marking certain letters; and those of Urbantshitsch (56) on the effects of AIMS OF INVESTIGATORS 5 practice with sound stimuli on tactual, gustatory, olfactory, and visual stimuli. 2. Experiments on the accuracy of voluntary effort and the effect of special training on the general rapidity and accuracy of motor adjustments. These experi- ments include those of Davis (14) to test the accuracy of voluntary effort in lunging at a target, those of Jastrow (27) to test quickness of response to touch and visual stimuli; those of Gilbert and Fracker (reviewed by Thorndike, 54) to test quickness in moving the finger at a given signal; those of Swift (52) to test the acquisition of skill in the complex muscular act of keeping three balls in the air, and in typewriting; those of Judd (2) to test the influence of training in the judgment of direction of lines, and the transfer of practice in the Mijiler-Lyer illusion; those of Foster (18) to test the effect of practice upon visual- izing and upon the reproduction of visual impressions; those of Whipple (62) to test the effect of practice upon the range of visual attention and visual appre- hension; those of Bergstrom (7) on sorting cards, wherein was tested the interference of habits formed with ability to perform opposite acts; those of Bair (21, 54) to test effects of special training on general power to meet new situations; those of Munsterberg (21, 35) to test whether a habit associated with a given sensory stimulus can continue automatically, while some effect of a previous and different habit associated with the same stimulus remains; those of Ruger (41) to test the transfer of specific motor habits. 3. Experiments on the effect of special training on the general rapidity and accuracy of memorizing. Here are included those of James (21, 25, 54) to test improve- ment in memory after special training in memorizing b THE DOCTRINE OF FORMAL DISCIPLINE poetry; those of Ebert and Meumann (2, 21) to test the effect of practice in memorizing meaningless syllables on the power of immediate recall and reten- tion of numbers, letters, monosyllabic nouns, words of Italian prose and poetry, visual signs, etc.; those of Fracker (19, 21) to test the effect of practice in memor- izing four tones on memorizing poetry, four shades of gray, nine geometrical figures, nine numbers, extent of arm movements, etc.; those of Jansen (26) to test similar points to those of Prof. Meumann; those of Bennett (6) to test the effect of practice in memorizing poetry on memorizing rows of figures and names of places; those of Thorndike and Woodworth (21, 53) to test the influence of special training in memorizing on the general ability to memorize. 4. Experiments on cross-education or the transference of practice from one member to a symmetrical one. These comprise those of Davis (14, 54) to test transference of motor ability from the practised right hand to the unpractised left in lunging at a target; those of Scrip- ture (44) to test transference of ability from the right hand practised on a mercury dynamometer to the unpractised left hand; those of Scripture, Smith, and Brown (45, 54) to show transfer from the right hand, practised on inserting a needle into a hole without touching the sides, to the unpractised left hand; those of Raif (37, 44), who performed similar experiments in piano playing; those of Wallin (58, 60) to attempt to control the reversions in a number of reversible perspective outlines, in which he found that practice with one eye afforded practice for the other unused eye; those of Volkmann (21, 54), reviewed by Hender- son and Thorndike, showing the effect of practice in training the sensitiveness of the skin of the left arm, AIMS OF INVESTIGATORS 7 upon the right arm; those of Swift (52) to test the acquisition of skill in the complex muscular act of tossing three balls, in which he found that practice transferred from the right to the left hand; those of Starch (50), who found in the experiment of tracing the outline of a six-pointed star as seen in a mirror that improvement was transferred from the left to the right hand; those of Davis (14, 54) to show the transfer of tapping ability with the toe of one foot to the unpractised toe and to show the increase in girth of the right arm and the left arm through lifting a weight with the right arm; and those of Woodworth (54) showing a transfer of practice in hitting a dot with the right hand to the unpractised left. Pedagogical. In the pedagogical field, the aims of the experi- mental investigations have been more limited. The experiments with school children have been confined to few school subjects and few mental abilities. Miss Aiken's (1) pioneer experiments, described in 1896, and her astounding results argue well for the validity of the doctrine of formal discipline. Recently, Dal- lenbach (13) has made Aiken's experiments, together with the laboratory studies of Whipple (62) and of Foster (18) on visualization, the basis of an exhaustive scientific test on elementary school-children. His results tend to support those of Miss Aiken and lead to the conclusion that experiments with adults are not reliable tests of what occurs with school-children. Pedagogical experiments relating to this topic may be grouped under those concerned with college stu- dents and those concerned with school children. The school subjects utilized for investigatory purposes 8 THE DOCTRINE OF FORMAL DISCIPLINE have been arithmetic, spelHng, and grammar and the mental abiUties, memory, habits, and ideals. Arith- metical experiments with college students include those of Starch (49) to test the transfer of training in arithmetical operations; those of Lewis (30) and Collins (11) to ascertain the relation between mathematics and general reasoning; and those of Rietz and Shade (38) to discover the correlation of efficiency in mathe- matics and in other studies, while with elementary or high-school pupils Winch (67, 68) has experimented to discover if improvement in numerical accuracy transfers, Lewis (30) has found interesting data in regard to the relation between mathematical and practical reasoning, and Stone (51) has tested the relation between distinctive procedures in arithmetic work and the resulting abilities. Wallin (59) has tested elementary pupils to ascertain if spelling ef- ficiency acquired in column drill transfers to dictated compositions, and Briggs (9) has investigated the disciplinary effects of formal English grammar. With reference to mental abilities, memory has re- ceived most attention, although reason has been given some attention, as in the experiments of Lewis and Collins, cited above. College students have been used by Sleight for experimentation in regard to the transfer of memory, while elementary pupils have been made subjects of investigation by Winch to test immediate memory, both visual and auditory, and to test the transfer of improvement in memory; and by Sleight (46, 47) to ascertain if memory training is general or specific. The effect of special habits on the general conduct or habits of school children has been tested by Squire (3) and by Ruediger (40). Squire's aim was to test the transfer of neatness and accuracy in arithmetic AIMS OF INVESTIGATORS 9 papers to other school subjects, while that of Ruediger was to test the influence of ideals of neatness in im- proving the written work of the 7th-grade school children. Judd (2) in his target experiment has demon- strated the value of a recognized method. There is urgent need for investigation in regard to other school subjects and other mental powers if the problem is to be solved satisfactorily, and it is to be hoped that the experiments may be undertaken by the classroom teacher, drilled in the methods of experi- mental pedagogy, for only then will there be sufficient trained investigators and optimal conditions for work that may produce unassailable conclusions. 11. Means, Methods, Results and Conclusions OF Experimental Investigations. The means employed by the various investigators have been almost as numerous as their aims. Under this heading are included apparatus and materials used and the subjects of the investigation. In many cases, especially in the psychological experiments, the apparatus has been quite complicated, while the subjects have been generally few in number and usually those possessing psychologically trained minds. The same is true of several of the pedagogical experiments, while, as has been previously stated, few school chil- dren, especially in this country, have been used as reagents. As widely different as are the aims and materials of the many investigators of the doctrine of formal discipline, just as widely divergent are the methods pursued. The results and conclusions obtained will warrant a separation of the investigators into two groups — those in favor of the doctrine and those opposed. 10 THE DOCTRINE OF FOEMAL DISCIPLINE Psychological Experiments. 1. Effect of training of one kind of sensitiveness on other kinds. The apparatus used by Bennett (6) in discrimination of length by the eye as a result of prac- tice in discriminating length by the knowledge gained from arm-movements, consisted of 2 parallel, hori- zontal, steel rods, 2 feet long and 13^2 inches apart. On the lower rod were two spools fixed immovably 25 cm. apart, and on the upper rod were two spools which were freely movable. In the training the two subjects were required to move the two movable spools on the upper rod to equate their distance to that of the immovable spools on the lower rod, through the sensation derived by arm-movement. The final tests were visual estimates of length. The result of the experiment was negative; one subject showed improve- ment, but the other an equal degree of lack of im- provement. In the experiments of Wallin (58) to attempt to control the reversions in a number of reversible per- spective outlines, the apparatus consisted of drawings of a parallelopiped, a book, a table, and a pyramid. Two subjects practiced in attempting to envisage uniformly the infrequent or non-predominant per- spective, in all cases monocularly. Wallin found that perspectivity was subject to a high degree of practice control. In 9,246 trials, the per cent, of successful control in three groups amounted to 40, 62, and 82. There was an average gain of 42 per cent, between the first and last 20 days of the series. He also found that the practice effects were transferred to the un- practised eye. ''In a given series of experiments in which the figures were reversed in the direct and indirect visual fields, it appeared that the reversions EXPERIMENTAL INVESTIGATIONS 11 occurred about 23^ times faster when the figures were directly regarded instead of being seen by the peri- pheral retina. But after practice with certain figures, it sometimes happened that the figures reversed most readily when a point outside the figures was fixated." This furnishes an instance of the transference to the peripheral retina of fixation motives attaching to the fovea. Here an acquired foveal disposition spread to the adjacent retinal elements, or the foveal tendency was transmuted into a ''generalized retinal habit." Seashore and Jenner's (42) experiments on the training of the voice by the aid of the eye in singing, made use of the voice tonoscope. Each of the six observers sang before the speaking tube. The tests were divided into: (1) accuracy in striking a required pitch, (2) the least producible change in pitch (minimal change). The preliminary practice was given with six observers. Each period of practice consisted of 160 trials, which took about 45 minutes. Tests were given for 12 days; the first 5 days "without aid," the singer depended entirely on the ear; and the next 5 days with aid, that is, the record was read from the tonoscope in each trial ; the eleventh day the record was taken without aid again; and the record of the twelfth day was taken with the aid. Their conclusions per- tinent to the topic in hand are: (1) "The aid enhances the ability to strike a tone which has been heard." There was 42 per cent, superiority of the aided series over the unaided. (2) "The aid enhances the ability to sing an interval." The aided series was superior to the unaided 50 per cent, in singing a major third, 50 per cent, in singing a fifth, and 60 per cent, in sing- ing an octave. (3) The voluntary control of the pitch of the voice is improved 26 per cent, by the aid. 12 THE DOCTRINE OF FORMAL DISCIPLINE (4) ''There is probably some transfer of gain from the aided training to the following unaided singing." (5) "There is no evidence of the transfer of gain in the accuracy of the memory image." (6) "The gain in the discriminative control of the pitch of the voice is fully transferred. (7) "Improvements in the ability to strike a tone, or an interval, and the ability to produce a minimal change are very much more pro- nounced and more rapid in the aided than in the unaided series." These seven points show that "by the use of the tonoscope we facilitate in a decided manner the ability to sing in true pitch and the im- provement is almost immediate." (8) It seems prob- able "that a higher degree of accuracy of pitch in singing may be attained by aiding the ear in the train- ing than would be possible to attain without such aid." Coover's and Angell's (12) investigations to test the general practice effect of special exercise included experiments on the transfer of practice effects in sound to light discriminations and the transfer of practice in card-sorting to "typewriter reactions." In the former experiment, four reagents were trained by means of a sound pendulum in discrimination of intensities of sound for 17 days during a period of 57 days, and each reagent made 40 judgments in each day's training. Before and after training, the reagents were tested in the discrimination of shades of gray. Each test consisted of three series, of 35 judgments each, delivered on three separate days. Control reagents were given the tests. It was found that there was an improvement in three of the trained sub- jects of 7, 5, and 15 per cent, respectively, but a failure in one of them; the control reagents showed a EXPEEIMENTAL INVESTIGATIONS 13 loss in discriminative ability in the final tests. Coover and Angell concluded that the '^ improvement seems to consist of divesting the essential process of the un- essential factors," that "efficiency of sensible dis- crimination acquired by training with sound stimuli has been transferred to the efficiency of discriminating brightness stimuli and that the factors in the transfer are due in great part to habituation and to a more economic adaptation of attention, i. e., are general rather than specific in character." In their second experiment just referred to, in which reaction with discrimination (choice) was tested, four reagents were trained through four days in card-sorting, during which 4000 cards were distributed by each reagent. They were tested for five days on 'typewriter reac- tions" — about 3000 reactions in each case; and after training in card-sorting, an after test was given for three days which included about 1800 reactions. The results warranted the conclusion that ''training in card-sorting is the cause of the increased ease and facility experienced by the regular reagents in the second trial in 'typewriter reactions'"; but this im- provement is not considered due to "identical ele- ments." "The general condition that is common to both is the habit of stripping the essential process of unnecessary and complicating accessories." The cause of transference of facility is the formation of a habit of reacting directly to a stimulus, which results in an equitable distribution of attention and the conse- quent power of concentrating the attention. Thorndike and Woodworth (53) in their tests of improvement in mental functions used magnitudes, such as lines of various lengths, areas of different sizes, and weights of several magnitudes; the practice 14 THE DOCTRINE OF FORMAL DISCIPLINE work was on estimating magnitudes of the same gen- eral sort. They also tested the ''influence of training in observing words containing certain combinations of letters or some other characteristic, on the general ability to observe words." The subject practised picking out and marking words of some one special sort until a high degree of proficiency was attained. From four to six subjects were used in the various experiments, all of which tested the "influence of improvement in a function on other functions closely allied to it." Their conclusions were as follows: "It is misleading to speak of sense discrimination, attention, memory, observation, accuracy, quickness, etc., as multitudinous separate individual functions are referred to by any one of these words." "There is no reason to suppose that any general change occurs corresponding to the words 'improvement of the attention,' or 'of the power of observation,' or 'of accuracy.'" "Improvement in any single mental function rarely brings about equal improvement in any other function, no matter how similar, for the working of every mental function- group is conditioned by the nature of the data in each particular case." "The general consideration of the cases of retention or of loss of practice effect seems to make it likely that spread of practice occurs only where identical elements are concerned in the influ- encing and influenced functions." Urbantschitsch (56) studied pathological cases with diseases of the eye and ear and found that stimulation also affects parts seemingly not immediately concerned. An hour's operation on the right eye showed on the left a relative enhancement of the capacity to see. In many patients with chronic catarrh of the middle EXPERIMENTAL INVESTIGATIONS 15 ear, the observer was surprised to find that an import- ant pathological influence was transferred from the ear to vision. In a later investigation he demon- strated that the sensitivity for tactual, gustatory, olfactory, and visual stimulation can be increased by practice with auditory stimulation. To summarize the conclusions of the investigators upon the topic of the effect on other kinds of sensi- tivity of training one kind of sensitivity, we find that Wallin, Seashore and Jenner, Coover and Angell, and Urbantschitsch subscribe to the doctrine of transfer, but Thorndike and Woodworth are opposed. Ben- nett's tests must be disregarded, as the two reagents obtained results diametrically opposed. The results of Wallin and Bennett could be set aside on the ground of having too few subjects, unless their results were subsequently verified by other observers. In all of the tests, the subjects were too few in number, but the results of Seashore and Jenner, of Coover and Angell, and of Urbantschitsch, seem to place the preponder- ance of scientific conclusion on the affirmative side. 2. Experiments on the accuracy of voluntary effort and the effect of special training on the general rapidity and accuracy of motor adjustments. Here, many diverse methods have been used, with resultant dis- similarity of results and inferences. Davis (14) used a target and a fencer's foil, and worked with six subjects. He had 10 thrusts made with the right hand and recorded on a paper target. After five minutes, the record of 10 thrusts with the left hand was made on another paper target. The initial tests were repeated after 10 days' practice of 10 thrusts daily with the right hand. It was found that the subjects could be educated in accuracy and 16 THE DOCTRINE OF FORMAL DISCIPLINE co-ordination of voluntary movement. The left hand improved from 57.2 per cent, to 36.5 per cent, nearer the center of the target ; while the right hand improved from 50.5 per cent, to 24.3 per cent. Increase in ac- curacy is due to practice in lunging. His experiments did not test the transfer of this special training to other motor adjustments, but only to the bilaterally sym- metrical organ. Jastrow (27), in testing quickness of response to tactile and visual stimuli, experimented with two *'Sleight-of-Hand Experts," Kellar and Hermann, and with miscellaneous individuals for the control. The tests included measurements with the aesthesi- ometer, judgments of weights of different magnitudes, and tests of sensitiveness to texture, for which coils of different sized wire were utilized. The results showed that Hermann's and Kellar's tactual and muscular per- ception were below normal. With the Weber compass, Hermann could distinguish the points at 3.5 mm. distance, Kellar at 2.5 mm., and the average for mis- cellaneous individuals at 2 mm. Herman was unsuc- cessful, Kellar successful, in arranging in correct order five weights, each of which weighed y^ more than the previous weight. In a general series of tests, 92 per cent, of those tested arranged the series cor- rectly. In the tests with the different sized wires, "both Mr. Hermann and Mr. Kellar succeeded in ar- ranging both series correctly, but this was also done by nine out of ten persons who were tested in the same way." Quite a number of tests of the quickness of movement and of mental processes, and of visual perception, were made. Some of the ordinary forms of reaction experiments were also tried. Tests to find out the comprehensiveness of perception were likewise EXPERIMENTAL INVESTIGATIONS 17 given. Selecting those tests in which the records of Hermann and of Kellar differ markedly from the normal, Jastrow finds: "In the quickness of response to a touch and a visual stimulus both the special sub- jects, and Mr. Kellar as well in response to an audi- tory stimulus, excelled to a considerable extent the average individual." But in the ''most complicated reaction they both fall considerably below the normal." There are decided indications of unusual quickness for both; but no very decided excellence appears in the scope and accuracy of visual perception. "In tests involving mainly tactual and muscular percep- tion, the indication is rather that they are below than above the normal." Thus Jastrow concludes that "the positive results of the investigation are thus small, but as far as they go they are consistent with the forms of dexterity that are utilized in sleight-of- hand performances." "They also indicate that it may well be that special skill in one very specialized form of training may be only slightly influential upon other forms of capacity." In Gilbert's and Fracker's (54) experiments, re- viewed by Thorndike, two subjects were tested for their quickness in moving the finger, (1) when they heard a certain sound, (2) when they felt a certain electric shock, (3) when they felt a certain blow, and (4) when they saw a blue surface. They were also tested for their quickness in moving the finger at these same stimuli when either the given sound or one less loud, either the given shock or one less intense, either the given blow or one less hard, and either a blue or a red might appear. They were trained for a number of days in quickness in reacting to the sound, (a) when only it was given, (b) when either it or the weaker 18 THE DOCTEINE OP FORMAL DISCIPLINE sound might be given. Then they were tested as before. It was found that there was an improvement in all cases, except one case with one observer. One observer was trained only in (a) quickness in reacting to sound. He improved markedly in the correspond- ing tests, but not so much as the others in the second set of tests. Thorndike explains this improvement on the ground of "identical elements." Elements com- mon to all these tests are concentrated attention, alertness, effort, co-ordination of sensory and motor areas, and rapidity of discrimination. -' Swift's (52) experiments on the testing of the acquisition of skill in keeping two balls going with one hand, were made with solid rubber balls. There were six subjects — five university students and one professor. Ten series were given; each of which con- sisted in throwing until failure to catch one or both balls. Practice was with the right hand, but there was a preliminary test with the left. He discovered that progress was at first slow and then more rapid. There was great irregularity of advance. Progress was by ''jumps." A ''warming up" is necessary but "steady and calm intensity makes for progress." He also found transference of practice effects from the right hand to the left. Swift, himself, performed an experiment which combined physical and mental tests, in the acquisition of skill in typewriting. He wrote one hour each day from copy. Here, he also found that the rise of the practice curve is rapid, but that there is irregularity from day to day. In both of Swift's experiments, there is no test of the transfer to other abilities of special ability gained by practice. It was discovered that training of the right hand was effective upon the left, but he does not believe that EXPERIMENTAL INVESTIGATIONS 19 this gives any support to the doctrine of ''formal education." "There is no evidence to show that training has general value." Judd's (2) method in testing the influence of train- ing in the judgment of direction of lines, was to place his one subject with his right hand hidden from his own view by a screen. On the left of the screen, nine different lines were shown in succession and the ob- server was required to place a pencil held in the unseen right hand in the direction indicated by the several lines seen by him. The subject was trained to the more accurate localization of one line, No. 5. After improvement, the original conditions were restored and the tests again made. Every line was affected in the final test. ''This means that there had been a transfer of effects under the conditions of the training described." A new practice series was begun with Line No. 2, and the amount of practice given was much greater in quantity and more radical in type, but the subject remained relatively unaffected. Judd's conclusions are that "joint improvement is only one of the possible forms of transfer; reciprocal inter- ference is just as significant a type of relation and just as certainly a type of transfer as is joint improve- ment," and "the closing up of the possibilities of future practice is much more important a consequence of any practice series than the direct transfer of effects to other functions." In the experiments on the transfer of practice in the Miiller-Lyer illusion, two observers were tested in the comparison of two com- plex geometrical figures. Judd found that both learned to apprehend the lines correctly in about the same number of comparisons. When the figures were reversed and a second series of tests begun, the 20 THE DOCTKINE OF FORMAL DISCIPLINE observer who knew about the effect of practice ad- justed himself to the new demands and rapidly over- came the illusion. The other showed greater error and no disposition to improve. Judd concluded that "the practice gained in the first series was transferred in both cases; in one case, it worked improvement; in the other, it increased the illusion, and rendered the observer incapable of rapid readjustment." In Foster's (18) experiments on the effect of prac- tice upon visualizing and upon the reproduction of visual impressions, real objects, pictures, and non- sense-drawings were exposed to three observers for 10-60 seconds. They were required to reproduce by drawing and description. He found ability to repro- duce increased with practice, it was rapid at first and slow later. Whipple (62), in testing the effect of practice upon the range of visual attention used a disc-tachistoscope and 5-, 6-, and 7-place nonsense combinations of letters. The subjects were six college students, each of whom observed 124-250 exposures of .08 second's duration. His results show that the average number of letters that can be grasped in a single exposure lies between 4 and 5 (4.82). ''Attention and effortful observa- tion through a series of from one to two hundred or more exposures has a curiously small effect upon the range of attention." ''Adult observers very quickly reach a physiological limit of visual observation when the exposure is so restricted as to prohibit eye-move- ments and roving of attention." In studying the range of visual apprehension, the form of material to be used — dots, pictures, nonsense-syllables, drawings, or stanzas of poetry — was stated and the exposure with the tachistoscope for 3 seconds was made when EXPERIMENTAL INVESTIGATIONS 21 the observers were thoroughly prepared by fixation and attention to receive it. Again, groups of ten objects upon a table were exposed for 6 seconds. Three observers performed these experiments. ''The most striking quantitative results of these tests is the very small increase for certain kinds of material in the number of items observed with the exposures of 3 and 6 seconds as compared with the exposure of .08 seconds (range of attention tests)." "With an ex- posure of 6 seconds, the average number of objects named was 6.05, while with an exposure only tV as long, between 4 and 5 objects could be named." The tables show facts that "negative the idea of general ability in apprehension or even of general ability in visual apprehension: we may state only that a given individual excels in the attentive observation of pic- tures, of drawings, of words, or of certain kinds of objects, etc., not that he excels in all-round observa- tion." The table also "seems to show the improb- ability of a series of classroom exercises training and developing general capacity to attend." Bergstrom (7), in his study of the relation of the interference effect to the practice effect of an associ- ation, sorted 80 cards into 10 different piles, each containing 8 cards with the same picture. In sorting the same pack a second time, a given card could be placed in the same position as the first time or in one of nine other positions. If put in the same, it is a simple practice effect, and if in a different one it is an interference effect. The cards were sorted with the greatest possible speed. He found that the "inter- ference effect of an association bears a constant rela- tion to the practice effect and is in fact equivalent to it." The variations are due to memory. 22 THE DOCTRINE OF FORMAL DISCIPLINE Bair's (54) method in his studies of the influence of special training on general power to meet new situa- tions was to label 6 keys of a typewriter with 6 sym- bols (letters or figures). Fifty-five of these letters or figures (in chance order) were now shown one by one, and the subject on seeing one taps the corresponding key. Record was kept of the time taken to tap out the series. Six different symbols were then used in a new series and the subjects' time-record taken as before. In a similar manner, twenty different sets of symbols were used. There were four subjects. A steady improvement was found in the time taken to tap out a series. In another experiment, he took daily records for twenty days of the time required to repeat the alphabet from memory, repeating it forwards and backwards and inserting the letter 7i between each letter in two other repetitions. The test exer- cises consisted of repeating the alphabet forwards and backwards and inserting x and r. He again found improvement in the tested series. Miinsterberg (35) studied the interesting theo- retical problem whether a habit associated with a given sensory stimulus can continue automatically, while some effect of a previous and different habit associated with the same stimulus remains. The experiments were made with his inkstand, his watch, and the doors of his laboratory. For instance he exer- cised the habit of taking his watch out of his pocket on the left side until it became automatic. Then he practised taking it out on the right side until the new habit was automatic. He then returned to the old habit and found that it took less time to relearn this than it did to learn the second. He concluded that some effect of the first habit remained, although the EXPERIMENTAL INVESTIGATIONS 23 second had become automatic. When this process was repeated several times, the time required for re- learning each of the two habits decreased, following the laws of the practice curve. He maintains that apparently contradictory habits do not destroy each other; at fii'st, it is hard to create the new habit, but once formed, it is easy to shift back and forth from one to the other. Ruger (41) in testing the transfer of specific motor habits in his study of the Psychology of Efficiency, had his subjects from the psychological laboratory, use ''animal" and ''human" methods in taking apart or putting together various puzzles. The pre- liminary and final tests consisted in testing a subject with a puzzle thrown in chance positions. The train- ing consisted in handling four special but important positions. The training of another subject consisted entirely of chance positions in a series about half the length of the first subject's series. The second tests of the first subject showed no improvement over the initial results and were inferior to those of the second subject. "This failure to profit by the highly special- ized training seems to have been due to the lack of a generalized rule of procedure." Ruger therefore con- cluded that "in general, the value of specific habits under a change of conditions depended directly on the presence of a general idea which would serve for their control." In regard to concrete imagery he found that "the value of the image as well as of the motor habit depended on the precision of the analysis." As regards attitude and attention, he concluded that "no evidence was secured in favor of an automatic change in level of attention but there were indications of its indirect control by means of ideals of what 24 THE DOCTRINE OF FORMAL DISCIPLINE constituted an efficient state of attention." Among the most important of the ideals of method were the ''idea of efficiency as a goal to be reached, ideals of scientific method, and the ideal of an optimum per- sonal attitude." Summarizing the results and conclusions of the eleven authors whose experiments have just been briefly described, it will be readily seen that not a great deal of evidence has been produced either for or against the doctrine of transference. The inference that improvement results from practice is supported almost unanimously. Some interesting evidence is deduced in regard to the interference of practice effects. Some of the experiments give data in regard to "cross- education." Where it was desired to secure informa- tion upon the subject of the transfer of practice, the practice was in all cases so similar to the tests that improvement in the practice series naturally resulted in improvement in the final tests. Obviously, some of the tests in both the preliminary and final series should be as dissimilar to the practice series as possible. This similarity warrants the explanation of transfer- ence as due to "identical elements" or "similarity of method or ideas." In some cases, the limited number of the subjects precludes generalization, as does also the securing of results diametrically opposed by inde- pendent investigators. Davis, Swift, Judd, Foster, Bair, Miinsterberg, and Ruger all found that improve- ment results from practice. Judd and Bergstrom emphasized the importance of interference as well as of practice effects, but in their experiments only one or two subjects were used, while Bah' and Miinsterberg claim that apparently contradictory habits do not destroy one another. Davis and Swift in their tests EXPERIMENTAL INVESTIGATIONS 25 obtained evidence with regard to the transference of practice from the right to the left hand. Of those who entered upon the investigation of transfer, Gil- bert and Fracker, Judd, and Ruger admitted that some transfer occurred while Jastrow and Whipple found no evidence of its existence. In most of the cases the subjects were too few in number and the practice too similar to the tests to warrant trust- worthy conclusions. 3. Experiments on the effect of special trainhig on the general rapidity and accuracy of memorizing were tried by James, Bennett, Ebert and Meumann, and Fracker with contradictory results on the question of improvement with practice and transfer. James (25) took account of the time necessary for each of five observers to learn a given amount of poetry. Then all practised; James learned the first book of Paradise Lost and the others varying amounts of poetry. Then the time required to learn an amount similar to that of the first test was taken for each of the observers. James found that two subjects re- quired more time for memorizing (one considerably more) after training, and the other three subjects a little less time; but he concluded that the tests were long enough to give training on the test-verse, so the experiment may be regarded as giving no evidence in favor of transfer. Bennett's (6) method was to have one observer commit to memory 5 rows of figures, 30 figures in each row, at the rate of one row per day. The train- ing was carried on for 4 weeks, 16 lines from In Memor- iam being memorized each day. The second ob- server wrote out five lines of names of places, 15 names in each line, and committed one line each day. 26 THE DOCTRINE OF FORMAL DISCIPLINE The practice was on two stanzas of the Faerie Queen committed daily for 5 weeks. In each case the final test was similar to the preliminary. Bennett found that the final test in memorizing numbers required 58 per cent, of the time of the first test; while that in memorizing names of places required 22 per cent, of the time of the first test. He concluded that ''the possible increase in the ability to remember figures, could readily come from the special training in doing that very thing in so many subjects of the curricu- lum." "There is some sort of transfer from memor- izing one class of facts to memorizing another class of facts, and from memorizing prose to memorizing poetry. Memorizing poetry gives increased ability to memorize figures or names of places." Ebert and Meumann (2, 6, 21) in their investiga- tion to determine the effects of training in learning material of one kind upon the capacity to learn mater- ial of the same and different kinds, used eight subjects whose memories were tested for ease of learning dif- ferent sorts of material, such as series of letters, num- bers, nonsense syllables, words, Italian words, strophes of poetry, and selections of prose. They learned 32 series of nonsense syllables, 12 in a row; two series of syllables on one day and tested the retention of two more. Thus, they learned four series of 12 syllables each on each of 16 days. At the end of this time the first test material was relearned and the facility of relearning was compared with the original. Then there was another period of learning; four men trained on 16 series of the same material as before; and four had 32 series. Then the final test was given. Tests were also made after 75-156 days of vacation. Their results favor a belief in a general effect from special EXPERIMENTAL INVESTIGATIONS 27 training. There was a gain in the average perform- ance of the 8 observers for each kind of material used. There is a tendency for the gain to be greater in material that is most closely related to that on which practice was obtained, 59 per cent, of gain in memor- izing numbers, 58.2 per cent, in letters, 42 per cent, in nonsense syllables, while Italian words, poetry and prose showed gains of 30 per cent., 27 per cent., and 29 per cent, respectively. They found that retentive- ness was increased as well as quickness. Tests made after the lapse of from 75-156 days of vacation showed no loss of training; in some, an increase in memory capacity. Fracker (19) in his study of the transference of training in memory, tested memory for poetry, the order of four shades of gray, the order of nine tones, the order of nine shades of gray, the order of four tones, the order of nine geometrical figures, the order of nine numbers, and the extent of arm-movement; the training series was memory for four tones. The subjects were eight college students and professors. The instruments employed were the psychergograph and the telephone. The four tones consisted of a major chord and the nine numbers were of two figures each. The following results were obtained: The gain in the tests for poetry was not very great in the case of any observer. The gain in the four shades of gray was often greater than the gain in the training; it was usually as great, seldom less. Four observers gained more in the nine tones than in the training series; two made the greatest gain in the nine tones of any of the test experiments. He judged that the ''influence of training seems to be very strong." Three observers made a greater gain in the nine grays 28 THE DOCTRINE OF FORMAL DISCIPLINE than in the training. One gained more in the four tones (major chord) than in the training series, but no observer made the greatest gain in this test. This test was most like the training series and should have shown the greatest gain, according to many investi- gators' results as to the effects of practice. Fracker thinks that the failure to gain was due to a different method of response. One made the greatest gain in the nine numbers' test. Fracker draws the general conclusion that the "central or most essential ele- ment in improvement is individual imagery" and the ''improvement is more rapid if the imagery is con- sciously developed." He also concluded that trans- ference is due to ''identical elements" or a "spread of training"; and he is in favor of the former, or in favor of a "limited spread of training." Reviewing these investigations, it is evident that James reached conclusions leading him to discredit the belief in transference effects when applied to mem- ory tests, whereas Bennett, Ebert and Meumann, and Fracker all obtained results which appear to be overwhelmingly in favor of a "spread of training." Bennett had only two reagents, but both showed a de- cided amount of improvement, while the experiments of Ebert and Meumann and of Fracker because of the increased number of observers, the variety of material used in the tests, and the number of the tests, point almost conclusively to the reliability of the belief in the spread of practice effects, at least in memory work, even to material not closely related to that used in the practice series. ^. Data derived from experimentation in regard to the effect of the training of one organ upon the bilater- ally symmetrical one, or closely related member, have EXPERIMENTAL INVESTIGATIONS 29 been advanced in favor of the doctrine of formal discipline. Investigations upon this subject have been made by Davis, Scripture, Raif, Wallin, Volk- mann, Swift, Starch, and Woodworth, among others. The experiments of Davis (14), Swift (52), and Wallin (58), in which they found a decided transference from a practised to an unpractised member, have already been referred to in other connections. Scripture (44) had his subject take 10 records of the right hand with a mercury dynamometer and 10 records of the left hand. Only the right hand was practised and final tests taken with the left hand. He found that the left hand had gained 50 per cent, in strength. In another experiment, he had 20 trials of each hand in inserting a needle into a hole without touching the sides. The right hand was practised 200 times and the left hand again tested. The un- practised left hand increased from 50 per cent, to 76 per cent, of successful trials. Raif (37) tested the average speed of the finger movements of each hand in 18 pupils. The exercises to develop rapidity began with the right hand only. The right hand increased from an average speed of 116 to 176 strokes per minute after 2 months' prac- tice, whereas the left hand, entirely without practice, increased from 112 to 152. Volkmann (6, 14, 21, 54), in his experiments on the influence of practice on the power of perceiving small distances, tested the sensitiveness of both arms of one subject for the two points of a Weber's compass. The left arm was then practised for several weeks. It was found that in the right arm, the distance of the perception of the two points was reduced from 26.4 to 15.7 mm., while in the practised left, the reduction 30 THE DOCTEINE OF FORMAL DISCIPLINE was from 23.6 to 11.2 mm. He also found that prac- tice on one finger of the left hand gave increase in ability in all the fingers, but none in the arm. Starch (50) had two subjects trace the outline of a six-pointed star as seen in a mirror. The subjects traced one-half of one outline with the left hand. Then one subject made ten complete outlines with the right hand while the other made fifty. Both then traced another half with the left hand. He found that the average improvement in the right hand after practice was 88 per cent, while the unpractised left hand had improved 83 per cent. The subject who had made 50 tracings with the right hand showed an improvement of 82 per cent, and 68 per cent, with the unpractised left hand. "Altogether the left hand profits to the extent of 90 per cent, of the gain made by the right hand." Ten laboratory students made ten records with the right hand and improved on the average 53 per cent. Davis (14, 54) had six subjects tap on a telegraph key with the right and left index fingers and right and left great toes. The right great toe was practised from 10-20 days. He found that improvement with the right toe was accompanied by 151 per cent, as much improvement in the left foot, 100 per cent, as much in the right hand, and 83 per cent, as much in the left hand. In another experiment, he took the girth measurements of both arms of six subjects and the number of times that each arm could raise five pounds. The subjects were practised from two to four weeks on the flexion of the right arm with weight. The result showed that practice had effected an increase in the girth measurements. The right arm increased twice as much as the left, but the left made marked gains. EXPERIMENTAL INVESTIGATIONS 31 Woodworth (54) practised the left hand of one subject in hitting a dot at speeds of 40, 120, and 200 strokes a minute and tested the right hand before and after practice. He found improvement in both hands. Although in some instances the number of the subjects of the investigations was quite limited, still, because of the unanimity of results of the eight investigators, there can be no question of the effects of practice of one member upon its fellow. With one exception, all of the paired external organs were subjected to experimentation. Experiments were per- formed with the hands, fingers, arms, toes, and eyes. I do not recall any one's testing the effect of the prac- tice of one ear upon the other, nor is it certain that this would prove feasible because of the practical impossibility of effectively closing up either avenue of auditory stimuli. Practice was given to left-hand members as well as to right-hand and with the same results. While all the results are consistent, differ- ences appear in the explanation of the results, in the conclusions reached. Some are not in favor of per- mitting results of experiments in cross-education to contribute to the support of the doctrine of formal discipline, while others consider them due to the presence of "identical elements," a "transfer of training" or a "co-ordination of movements." Pedagogical Experiments. 1. Mathematics — A. College students. Starch (49), in investigating the transfer of training in arith- metical operations, used eight observers each having fourteen days' practice in mental multiplication. Seven others were also given the preliminary and final tests which consisted of six tests in arithmetical 32 THE DOCTRINE OF FORMAL DISCIPLINE operations and two tests in immediate auditory mem- ory span. He found that the practised observers showed from 20-40 per cent, more improvement in the arithmetical tests than the unpractised; but that there was Uttle change in memory span for either group. He concludes that the "improvement in the end test was due therefore to the 'identical elements' acquired in the training series." Lewis (30) examined the records of ten different classes of Dartmouth students who had taken law and mathematics, to discover the relation of reason- ing in these two subjects. Fifty per cent, of the best students in law were conspicuous for their poor show- ing in mathematics, while 42 per cent, of those poorest in law stood at the head of the series in mathematics. Collins (11), in order to verify Lewis' results in the above experiment and in a high-school experiment to be described later, had eight instructors rank cer- tain students in percentages as to their reasoning power. These students were ranked in their ability to carry on miscellaneous kinds of reasoning. By means of marks from the school records, mathematics grades were contrasted with the averages in United States history and commercial geography. His results are almost exactly opposite to those of Lewis and lead to the conclusion that "with the exception of from 20- 25 per cent, of erratic people, those good in mathe- matics are good in other subjects, those of average ability in mathematics are of average ability in other subjects and those poor in mathematics are poor in other subjects." Rietz and Shade (38) used college records and found high correlation between efficiency in mathematics and natural science and also between efficiency in mathematics and in foreign languages. EXPERIMENTAL INVESTIGATIONS 33 B. Elementary and High-School Pupils. Winch (67, 68) was most painstaking in his elaborate investi- gations with school children. In his efforts to de- termine if improvement in numerical accuracy trans- fers, he tried five series of experiments, using different schools, standards or grades, and neighborhoods. In the first four series he divided the class into two groups on the basis of record in arithmetical process. After one-half had been trained on exercises in "rule" sums, a final test in arithmetical reasoning was given to both groups. There was an improvement in ac- curacy of numerical computation during practice. The first series of experiments was performed with girls from a poor neighborhood. Standards VI and VII, and ages 13 years. He found that, while an im- provement was shown by the practised group in numerical accuracy, it was insufficient to transfer. In his second series of experiments, he used girls from a poor neighborhood. Standard II, age 10 years. He found considerable improvement in the practice series and this was transferred to the final problem work. ''Whereas the numerical accuracy of the non-practised group was decidedly superior to that of the practised group in the preliminary tests, yet after the practice period, the position of the two groups, section by section, is reversed." But from one of his tables, he decided that it would be unsafe to conclude that any transfer of accuracy had taken place. The third series of experiments was given to girls of a good neigh- borhood but of poor ability in arithmetic. Standard III, age 10 years. He found a positive correlation between reasoning and accuracy and improvement in numerical accuracy within the practice series. He states that ''there certainly appears to be an advan- 34 THE DOCTRINE OF FORMAL DISCIPLINE tage on the side of the practised group in the second, third, and lowest sections, but the highest is worse in comparison of the preUminary and final tests." In the fourth series of experiments, boys were em- ployed; they were from a poor neighborhood, did good work in arithmetic, were from Standard III, and aged 10 years. There was found to be a high correla- tion between reasoning and accuracy and very con- siderable improvement in the practice series. Every section in both groups showed improvement in arith- metical reasoning. He thinks that the improvement may possibly be due to natural growth and to other branches of school instruction. From these four series of experiments, he concludes that it seems pos- sible to improve the accuracy of numerical computa- tion without any certainty of thereby improving the accuracy of arithmetical reasoning. ''Therefore, pend- ing more conclusive experiments, numerical accuracy should be sought for because it is valuable in actual life and not because of improvement." In a later investigation, he utilized a class of 72 boys, of Stand- ard III, with an average age of 10 years. He gave six tests in arithmetical reasoning, which enabled him to divide the class into two equal groups, one of which was practised in arithmetical computation while the other was occupied in drawing. After 10 practice exercises, six final tests were given to all. There was marked improvement in the computation, but he found no evidence of the transfer of this improvement to arithmetical reasoning. Stone (51) investigated the arithmetical abilities of 6A pupils, the time expended, and the materials of the course of study used in securing these abilities. Twenty-six school systems from various parts of the country were examined. Tests in fundamentals and EXPERIMENTAL INVESTIGATIONS 35 reasoning were used, requiring the marking of 6000 papers. He reached the conclusion that there is a lack of correspondence among the systems in funda- mentals and reasoning; likewise in the four funda- mental operations; and in rapidity and accuracy. "On the whole, ability in reasoning impUes ability in fundamentals no more than ability in such a subject as English implies ability in mathematics in general, and not so much as ability in Enghsh implies ability in such subjects as geography and history." In answer to one of his problems, he stated that the nature of the product of the first six years of arithmetic is complex and that the ''net result is several products, rather than a product." He also discovered that there was a lack of relationship between time-cost and abilities produced, likewise a lack of relation between abilities and a good course of study. Lewis (30) in his high-school tests, asked the ques- tion: "Is there a reasoning faculty, w^hich, by exer- cise m mathematics, can be made stronger for other kinds of reasoning, as in law or business?" Two tests, one containing originals in geometry and the other questions in practical reasoning, were given to 24 dif- ferent groups of pupils. He found that 63 per cent, of the good mathematicians were at the foot of the practical reasoning series, and of those at the foot of mathematical reasoning, 47 per cent, were at the head of practical reasoning. From this and from his investigation with the Dartmouth students, he con- cluded that the "reasoning faculty is a myth," for "students able in mathematical reasoning are not even generally able in practical reasoning and law."^ * I am informed by Professor Rietz, of the University of Illinois, that the original data obtained by Lewis do not, in fact, warrant the con- clusions drawn from them. — Editor. 36 THE DOCTRINE OF FORMAL DISCIPLINE 2. Spelling. Wallin (59) investigated the question whether speUing efficiency acquired in column drills transfers to dictated compositions. He dictated work in which lists of words occurred which had been pre- viously learned by drill. He also dictated a column of words. Only words on the list in both cases were counted. He concluded that the ''data obtained furnished conclusive evidence in favor of an affirm- ative answer." The average loss of efficiency through transfer from dictated column to composition was 1.44 per cent, while there were five instances in which there was an actual transfer gain. He concluded therefore "that column drills in spelling may produce a positive increment of spelling efficiency in dictated compositions or connected writing." 3. English Grammar. Briggs (9), in order to ascer- tain the disciplinary effects of formal English gram- mar, gave 54 tests to from 25-30 children of the 2d- 7th grades in the Horace Mann School. Among the tests were those to discover the ability to see likenesses and differences; the ability to judge, amend when faulty, and to apply a definition thoroughly; the ability to make a rule, to judge reasons, to select facts, to reason in arithmetic; the ability to reason syllo- gistically, to detect catches, to make prompt and accurate associations, to follow directions, to correct errors and point off sentences, and tests of the knowl- edge of formal grammar after the training period. Three 30-minute periods per week during six months were devoted to the investigation. The first set of tests was given to all the children. Then for three months, the children of one room were drilled in formal grammar, wherein emphasis was laid on gram- mar as a strict science and an attempt to secure a EXPERIMENTAL INVESTIGATIONS 37 general ideal of method (like Ruediger's) was made. During this time, the second room of children did work in composition and language. There were then given the second set of tests, after which the condi- tions were reversed for three months in the two rooms. Finally, the first set of tests was given again to all the children. From his results Briggs concludes that "these particular children after the amount of formal grammar that they had, do not, as measured by the means employed, show in any of the abilities tested improvement that may be attributed to their training in formal grammar." "The burden of proof now rests with those who believe in a strengthening mental discipline from formal grammar." 4. Mental Traits. A. Memonj. Sleight (46), in order to discover if memory training is general or specific, experimented with two classes of women students in a Training College, the average age being 18-19. The tests were of immediate memory and made use of letters, nonsense syllables, dates, poetry, and prose substance. Sleight also investigated the same question with three classes of pupils aged 11-12 years in tliree dif- ferent schools. Each class was tested with 10 differ- ent kinds of memory material and then sorted into four groups of equal average ability. One group was practised on poetry, the second on tables, the third on reproducing the gist of prose, while the fourth re- ceived no training. After three weeks of practice, a second series of tests was followed by three more weeks of practice, in turn followed by a third series of tests. The tests made use of letters, dictation, names, geographical places, nonsense syllables, dates, poetry, prose, substance of prose, and points in a 38 THE DOCTRINE OF FORMAL DISCIPLINE cii'cle. A new feature was a cyclic arrangement by means of which all three test series could be considered equal in difficulty. Finally, some time after the third series, a fourth series was given. The results with both the college and elementary pupils showed no general improvement of the prac- tised over the unpractised. In nonsense syllables there was considerable improvement of the trained over the untrained, but only with those who practised on poetry or tables. This was ascribed to the presence of rhythm as a common element and the deduction is made that the effects of practice are transferable when common elements exist. Practice in prose substance effected an improvement in that form of memory, and in no other; it had, in fact, a disastrous effect on the power to memorize mechanically. The conclusion is reached that ''we must therefore face the fact that some practice has the effect of diminishing the power to memorize some other material," Winch (63-66) has conducted four elaborate series of memory experunents with school children, two to ascertain if memory is improvable with practice and two to discover if improvement in memory is trans- ferable. In studying immediate memory, he exposed sets of consonants to view for a short time. The subjects were 25 girls of Standard VII, ages 12-15, and 33 boys of Standards VI and VII, ages 11-14. His conclusion from these two sets of experiments was that a wider range of age and standard would be necessary to answer questions as to the improvability of memory by practice, improvement with age, and relation to general intellectual proficiency. A second series of experiments was then given to 39 girls, Standards II-VIII, and ages 8-14, chosen on an age EXPERIMENTAL INVESTIGATIONS 39 basis. Results were compared with the school marks over the space of one year. He concluded that mem- ory improved with practice, that general mental ability is accompanied by ''good memory," that "good memory" is usually accompanied by general proficiency, and that there is a general improvement rising with age and standard. Another series of experiments was given to girls from two divisions of Standard VI, six from the upper and six from the lower division, and with the same results. In a later series of experiments on auditory memory, conducted along similar lines to those just described, he verified his conclusions with visual memory. He attempted to answer the question: ''Is the improvement in mem- ory gained through practice in one subject of instruc- tion, transferred to another subject which has not been practised?" He divided each class into two groups of equal ability, determined partly by test and partly by the opinion of the teacher. He gave three series of experiments to girls from Standards VI and VII, average age of 12-13, and from three schools of different neighborhoods. In all cases, the practice was on poetry, while in two cases the tests were his- torical and in the other geographical. WTiile the prac- tised half was studying poetry, the other group was occupied in writing or working sums. In the three series, he found that the practised group was superior to the unpractised and therefore concluded that "improvement, gained by practice in memorizing one subject of instruction, is transferred to memory work in other subjects whose nature is certainly diverse from that in which the improvement was gained." This conclusion, he goes on to say, is true for this age and the attainments of these children. In another 40 THE DOCTRINE OF FORMAL DISCIPLINE article on the transfer of improvement in memory in school children, he reported his results in answer to the problems: ''Whether there is any transfer of im- provement in rote memory for meaningless things to substance memory for stories (1) by an auditory method, (2) by a visual method," and ''whether there is any transfer of improvement in rote memory for things with meaning — for example, poetry — to sub- stance memory for stories." He conducted three series of experiments. The first series was given to boys and gu-ls of Standard III, of an average age of 10 years. Three preliminary tests in substance mem- ory consisting of stories read aloud, also some tests in rote memory for meaningless things consisting of consonants read aloud, were given, and the class was divided into two equal groups on the basis of the tests in substance memory. One group received three practice exercises in rote memory, while the other group drew difficult geometrical designs. Then a further test in substance memory was given to both groups. The results showed an improvement within the practice medium itself from 11.9, the first prac- tice test's average mark per child per test to 15.8 average mark per child for the third test, out of a maximum of 24. The comparison of the final and preliminary tests shows that there is a steady improve- ment, which is greatest in the practised group; and "about as much or more improvement, reckoned in percentages, as has been made in the practice medium itself — rote memory for meaningless things — has been transferred to the substance memory." The second series of experiments was with girls of Standard IV, age 10 years. Four tests in substance memory, con- sisting of written stories, were given, and as a result, EXPERIMENTAL INVESTIGATIONS 41 the class was divided into two equal groups. Through several weeks one of the groups did 13 practice per- iods of 9 exercises each in rote memory, consisting of the learning of consonants exposed visually, and the other group worked exercises in arithmetic. Then both groups worked four more tests in substance memory. There was an improvement within the practice medium itself; also "both groups show im- provement in the final tests and it seems fair to sup- pose that the excess of improvement in the practised over the unpractised group may be a measure of im- provement due to the special practice in rote memory." In the unpractised group there was an improvement of 16 per cent., while in the practised group there was an improvement of 21 per cent., probably due to special practice. In the third series of experiments, the girls were from Standard V, 12 years of age and backward in scholarship. There were four tests on substance memory for stories, followed by division of the class into two equal groups. One group prac- tised rote exercises on poetry. Then four final tests were given to both groups. All the work was done visually. The results showed an improvement in rote memory for every individual in the practised group; and "the excess improvement of the practised, about 6 per cent, in the final test, may perhaps be attributed to the effect of the practice exercises in rote memory." His conclusions from these experi- ments in regard to the transfer of improvement in memory are: "Improvement through practice in rote memory is followed by improvement in substance memories for stories." "Improvement by practice in one mental function may produce an improvement in the other." 42 THE DOCTRINE OF FORMAL DISCIPLINE B. Habits. Squire (3) insisted on neatness and accuracy in the preparation of the arithmetic papers by the 13 pupils in the second half of a third grade. It was found that there was an improvement in the arithmetic papers, but that this did not transfer to the language and spelling papers, in which there was a decrease in both accuracy and neatness. C. Concentration of attention. Miss Aiken's (1) experiments on the concentration of attention by the use of daily exercises to quicken the perceptive facul- ties, to cultivate the habit of accuracy in seeing and hearing, and to cultivate quickness of discrimination, and their amazing results have already been referred to. Dallenbach's (13) problem was to find out the effect of a daily drill for 15 minutes conducted during a period of 17 weeks. The subjects were 11 girls and 18 boys, of ages 7-10. The materials consisted of charts, of numbers, letters, words, geometrical figures, etc. The experiment lasted for 17 weeks, and com- prised a week of fore-practice foHowed by a week of tests with 4 weeks of drill; the two latter alternated until 4 weeks of tests and 12 weeks of drill series had been given. Ten months later, another test series was given to 31 children, 19 of whom had had the training. His conclusions are that the effect of drill is persistent, and that boys surpass girls in visual apprehension. During the following school term, there was a striking general rise in the school grades of these pupils, seemingly due to his formal drill exercises, also a special test by the Aussage method, showed that the practised children were superior in recall and description to their unpractised school- mates when tested some 50 weeks after the termina- EXPERIMENTAL INVESTIGATIONS 43 tion of the special drill. ''Original work of drilling the children has produced a training that has not only persisted, but also 'spread' to some extent to other functions." He concluded that he has "evidence in favor of a restricted belief in formal discipline." D. Observation. Bennett (6) investigated to find the result of special practice in discriminating different saturations of blue upon other sense powers in the case of 16 children, 11 years old, from the Speyer School of Teachers College. A Milton-Bradley color wheel was used with a set of the larger and smaller disks. The children recorded their judgments with an 7 or according as the saturation of the inner disk or outer disk was greater or with an S if it was the same for both. Preliminary and final tests were in discriminating different mixtures of red and white, of yellow and green, of orange and black, and different pitches. They practised with the blue and white disks for half an hour, twice a week, from October to March. Bennett found that ability to discriminate different saturations of blue increased with practice in the training series. Ability to discriminate differ- ent mixtures of red and white, of yellow and green, and of orange and black was greatly improved in the final tests. In most cases, there was an improvement in the test series, both before and after training. There was an improvement of 20 per cent, for the boys and 23 per cent, for the girls in discrimination of pitch, but it was "not at all commensurate with that in the color field." He concludes that "training in the discrimination of some colors is highly effective in the discrimination of others, much less so with tones." E. Quickness, accuracy, attention, etc. Norsworthy (36) sought to find individuals with differences in one 44 THE DOCTRINE OF FORMAL DISCIPLINE trait, then to measure those individuals in other traits and to compare the results. Tests were given in multiplication, in observing misspelled words, in marking words containing e and r, in observing the word hoy wherever it occurred, and in marking semi- circles scattered amongst all sorts of geometrical forms. Results led to the conclusion that it is "prob- able that certain functions which are of importance in school-work, such as quickness in arithmetic, accuracy in spelling, attention to forms, etc., are highly special- ized and not secondary results of some general func- tion." In other words, there is no such thing as general memory, quickness, accuracy, or observation, y/ F. Ideas of Method. Judd (2) required two groups ^ of pupils in the 5th and 6th grades to hit with a small dart a target which was placed under twelve inches of water. The difficulty involved was due to deflection of light through refraction. One group was given a full theoretical explanation of refraction while the other was kept in ignorance. The results of the first test were the same for both groups. Then the twelve inches of water were reduced to four. The boys ignorant of the theory were very much confused, while the others were not. ''Theory was not of value until it was backed by practice." The conclusion is there- fore drawn that ''every experience has in it the possi- bilities of a generalization." Here there was a trans- ference of method. G. Ideals. Ruediger (40) tested the point: "Does the ideal of neatness brought out in connection with, and applied in, one school subject function in the other school subjects?" He experimented with 83 pupils from the 7th grade of three schools, each in a different city. In the written work of one school EXPERIMENTAL INVESTIGATIONS 45 subject, he paid all the attention possible to the habit and ideal of neatness. He talked with the class about neatness, though not referring specifically to the other school subjects. He collected at least three papers in each subject before he brought up the matter of neatness and then one or more papers a week in three or more subjects. The experiment covered eight weeks. The marks for all school subjects were raised although the gain was greater in the subject in which neatness had been emphasized. ''Evidently neatness made conscious as an ideal or aim in connec- tion with one school subject does function in other school subjects." He would ascribe transference to ''identity of aim." Reviewing the pedagogical experiments, as in the psychological, we find two camps with reference to the question of transfer. Starch, Collins, Rietz and Shade, Wallin, Winch, Ruediger, Dallenbach, Aiken, Bennett, and Judd found evidences of a spread of training or of correlation of abilities. Lewis, Stone, Briggs, Sleight, and Squire, because of their results, would not subscribe to the doctrine, at least in the aspects that they studied. Of these investi- gators, certainly the most elaborate experiments were performed by Winch and Sleight; and unfortunately for the solution of the problem, they disagree. Starch ascribes the evident transfer to the "identical ele- ments" in the practice and test series, while there was no transfer from arithmetical computation to auditory memory span. In Wallin's expermients, transfer of spelhng efficiency from column drills to dictated composition may likewise be ascribed to "identical elements." Winch's conclusion that "un- provement gained by practice in memorizing one 46 THE DOCTRINE OF FORMAL DISCIPLINE subject is transferred to memory work in other sub- jects whose nature is certainly diverse from that in which the improvement was gained" is criticised by Bagley (3) on the ground that ''the nature of the subject-matter is not so diverse as to exclude alto- gether the operation of identical elements, nor is the difference between the two groups in memory capacity at the close of the test so great that one needs to as- sume a 'general' function of memory has been trained." Ruediger ascribes transference to "identity of aim," and Judd's target experiment illustrates the trans- ference of "identity of procedure or method." Lewis, while finding no evidence of the correlation of reason- ing ability in mathematics and law, believes like Ruediger, and Bagley in the transference of ideals. Sleight, like Judd and Bergstrom, found evidence of interference effects. From such a varied mass of re- sults and explanations, it is impossible to do more than speculate as to the validity or falsity of the doctrine in connection with pedagogical investiga- tions. Summary of the Historical Review. After this necessarily brief review of some thirty psychological experiments and twenty-odd pedago- gical ones, it is important to discover the consensus of belief arrived at by scientific investigation. Ebert and Meumann, Coover and Angell, Judd, Winch, Wallin, Fracker, Urbantschitsch, Miinsterberg, Dal- lenbach, and Spearman may be considered among the more prominent proponents of the doctrine of formal discipline. On the' other hand Thorndike and Woodworth, Stone, Sleight, Burt, Heck, Whipple, Swift, Bolton, DeGarmo, Henderson, Jastrow, Nors- worthy, and Squire, either as a result of personal in- EXPERIMENTAL INVESTIGATIONS 47 vestigation, or a review of experimental work in this field, align themselves in the main with the opposi- tion. Nearly all admit improvability with practice and its transference to material, similar or closely related in content or form. Prominent among the believers in a ''spread of training" where "identical elements" exist are Thorndike and Woodworth, Whipple, Starch, and Sleight. The term "Identical Elements" covers much; it includes identity of sub- stance or content, identity of form or procedure, identity of aim or ideal. All psychologists seem to be in accord that where there is identity of substance, improvement increases according to the general laws of a practice curve until a physiological limit has been reached. Among those who emphasize identity of method or procedure as an explanation of transfer- ence, with great stress on the importance of concen- tration of attention, are Thorndike and Woodworth, Munsterberg, Angell, Coover, Bagley, Ruger, Judd and Tracker. Ruediger, Ruger, Lewis, and Bagley are impressed with the necessity for an aim or ideal. Probably Spearman (48), in his able article on Qualified and Unqualified "Formal Training," has expressed the idea that will bring reconciliation be- tween the two opposing factions when he states that the "attack is not against formalism utterly, but against unqualified formalism." He advances four qualifications: (1) Transference is not peculiar to form. "As far as economy is concerned, all sorts of training, formal, material, or a mixture, would ap- pear to be about on an equal footing." (2) Transfer must always be regarded quantitatively. After a review of Sleight's experiments, the conclusion is drawn that "it is evident that the training is indeed 48 THE DOCTRINE OF FORMAL DISCIPLINE transferred from one material to another, but only in proportion to the similarity between them." (3) Transference is not always improvement. He cites conclusions of Judd, Fracker, and Sleight in support. (4) There is a need of separation for transfer. For example, procedure may be developed into a clearly conceived method; this thenceforth becomes an inde- pendent, and sometimes exceedingly useful tool of thought. An instance is Judd's experiment with the target under water. ''An even more important in- stance of separating an element from the complex in which it occurs is the evolution of particular impulses into a general maxim or ideal." Compare Squire's negative results with Ruediger's positive ones. He concludes by saying that the 'Hwo chief opposing schools are at cross purposes; the one is defending what may be called qualified formalism, while the other is attacking unqualified formalism." The great problem is ''how these facts are to be utilized in the re-ordering of our educational system." PART II. ORIGINAL INVESTIGATION. I. Introduction. The original investigation was undertaken to secure experimental data in regard to one of the aspects of the doctrine of formal discipline, expressed in familiar language of ''training observation." Little has been done upon this problem experimentally. Several per- sons, as has been noted in the historical part of this essay, have investigated the transfer of improvement of rote memory to substance memory, the transfer of arithmetical abilities, and the transfer of reasoning abilities. This particular "faculty" or habit of obser- vation was selected because the writer, a teacher of biology, could give the tests in the ordinary routine of the classroom without seriously disturbing the re- quired work and also without the subjects suffering the disadvantages incurred when the tests are foreign to the immediate school program and conducted by a stranger. No explanations were made to the pupils as to the object of the experiments. In connection with a previous experiment, they had had a few tests somewhat similar to several of the non-biological tests. The results of these tests had been reported to the pupils individually at the conclusion of the entire set of tests and had been tabulated on the board by record- ing the name and percentage of the pupil receiving the highest rating in each test. This previous experience may have acted as an incentive in the present work, as they were told that they would again be informed of the results. When all three series of experiments had been completed, pupils were given their individual 49 50 THE DOCTRINE OF FORMAL DISCIPLINE ratings in the various tests, with tabulation of the names and percentages of the leaders for each test of the three series of all three classes. II. Subjects. The subjects were all pupils in the first term of the freshman class of a New York City High School. When the third series of tests was given they had entered upon the second term. These pupils were distributed in three classes. Class 1 had 12 boys and 20 girls; Class 2 had 10 boys and 18 girls; Class S had 12 boys and 12 girls whose results are tabulated in the following pages. Several others in each class took the tests, but because of irre- gular attendance, absence from one whole series of tests or more, or because there was an odd number of boys or girls after division into two equal groups, their results had to be discarded. The ages of the pupils varied from 12 to 17. Class 1, average age, boys 13.7 Class 2, '' " " 14.1 Class 3, " " " 13.8 girls 14 years. 13.8 " 14.1 " III. Time Schedule of Tests. The tests in the first and second series were given in the afternoon. Class 1 recited from 12:50-1:30; Class 2 recited from 1:35-2:15; Class 3 recited from 2:15- 2 :55. The tests were given immediately after the class had assembled. The first series of tests was given on April 22, 23, 24, 25, 26, 29, 30. The practice series occurred on the 10 school days from May 15 to 28. The second series of tests was given on June 3, 4, 5, 6, 7, 10, 11. The third series of tests was given on November 4, 6, 8, 11, ORIGINAL INVESTIGATION 51 12, 13, 14. Between the second and third series, the classes were promoted and were not kept intact. The classes during the third series recited during the three periods from 9 :30 to 1 1 :45. IV. Practice Series. On the basis of averages obtained from the tests of the first series, each class was divided as nearly possible into two groups. In each class effort was made to place the pupil receiving the higher average of the two highest pupils on the side which was to receive no prac- tice, while the second highest was placed in the division to be practised. This method was continued until the list was exhausted. Thus among successive pairs, there was usually a slight advantage on the non-practised side, and the totals of the two groups in all three classes showed the non-practised side to have the advantage at the end of the preliminary tests. On May 15, the practice series was begun and con- tinued for ten minutes daily until the expiration of two weeks. While the one half of the class was observ- ing and describing the biological material of the prac- tice series, the other half was writing answers to ques- tions on topics previously assigned for home-study from the text-book. The text-book work was required of all for outside study, but only the non-practised half wrote answers to questions. In order to prevent failure to do the assignment, the pupils were not in- formed in regard to the procedure until the class assem- bled each day of the practice tests. All the other biological work was the same for all classes. The classes were kept in ignorance of the reason for division into two groups during the practice weeks, and al- though they were quite interested as to the cause and 52 THE DOCTRINE OF FORMAL DISCIPLINE speculated somewhat about it, no reference to the previous tests was made as an explanation. It ap- peared, however, that the non-practised half considered that the practised half must be superior as they were chosen to do the extra tests. The reverse, however, was true for successive pairs as far as the preliminary- tests were concerned. None of the pupils knew that a second or a third series was to be undertaken until each was actually begun. They were then reminded of the previous tests, informed that they would learn their results later, and that comparisons would be made between their work in the first and second series of the tests. Absolutely no reference was made to the practised or unpractised half, and it was not apparent that the pupils thought that there was any connection between the practice and the series of tests. During the practice series, while actually engaged in the ten minutes' daily practice, the practised were separated from the unpractised. During both the first and second series and throughout the term, the pupils occupied the seats which had been individually assigned to them at the beginning of the term. V. Method of Conducting the Tests. The directions were given orally. Before each test, paper was distributed to each pupil, who ruled it, if the nature of the test so required, inscribed his name thereupon, and was informed of the content or material of the test. From previous experiments, the pupils had learned to obey directions, and collect papers with almost military precision. The signals used were: Start! Stop! Look! Write! Draw! Collect! Time was kept by the second-hand of a watch. OEIGINAL INVESTIGATION 53 VI. Details of the Tests. Series I, April 22 to 30. Test 1. April 22. Each pupil received a twig of horse chestnut with an unopened bud and one with developing leaves. The direction given was to write a complete description of these stems. Time 10 minutes. Test 2. April 23. A picture was suddenly exposed for 30 seconds, and the pupils were permitted 5 minutes to write down their descriptions. The picture represented a girl clad in an old fashioned, gaily colored dress. Standing up on its hind legs beside the girl, was a large dog, while several puppies were froUcking on the ground. The background indicated a country scene with rocks, trees, and hills in the distance and a water-fall near-by. Test 3. April 23. Each pupil received a forsythia flower and was directed to write a complete description. Time 5 minutes. Test 4. April 24. Ten nonsense syllables of two letters each, printed in two rows on oak tag, were ex- posed for 30 seconds. (See Fig. 1.) Pupils were directed to place the right syllable in the right place. One minute was allowed to write them. Test 5. Branches of lilac leaves were distributed to each pupil, and directions given to write a complete description of the lilac leaves. Time 8 minutes. Test 6. April 25. A nonsense figure (Fig. 2) con- sisting of 10 lines, drawn with black pencil on oak tag, was exposed for 30 seconds and one minute was allowed for drawing it. Test 7. April 25. A chart (Fig. 3) having 10 geometrical figures in two rows, drawn with black pen- cil on oak tag, was exposed for 30 seconds, following the direction to draw the right figure in the right space of their paper, which had been ruled beforehand by the 54 THE DOCTRINE OF FORMAL DISCIPLINE « s o a It s c o to b a ORIGINAL INVESTIGATION 55 6 5Q THE DOCTRINE OF FORMAL DISCIPLINE ORIGINAL INVESTIGATION 57 CM V OD lO W 00 t-4 W « e» ^ ■o t^ w (M ft <» » «> 6 58 THE DOCTRINE OF FORMAL DISCIPLINE pupils. Three minutes were allowed for reproduction of the figures. Test 8. April 26. A chart having ten two-place numbers in two rows printed on it (Fig. 4) was exposed for 30 seconds with the direction to place the right combination in the right space on their ruled paper. One minute was allowed for recording. Test 9. April 29. Pupils were permitted to ex- amine specimens of scouring rush or horsetail for one minute and then, with the specimens hidden from view, were given five minutes to describe their observations. Test 10. April 29. In a similar manner, they were allowed one minute to examine a maple seedling and 5 minutes to describe it from memory. Test 11. April 30. A colored chart with various anatomical features of the pea flower was exposed for 30 seconds, an allowance of 5 minutes was made for description. This test was not used in the comparison of the three series, because it was found that, as the pupils had not yet studied flowers, they were unable through lack of technical terms to describe much that they had seen. Test 12. April 30. A figure was outlined in the air with a pencil point. (See Fig. 5). Pupils were in- formed that 10 lines would be drawn and that at the end they were to reproduce them on paper. Test 13. May 1. A colored chart of the potato plant, similar to Test 11, was exposed, but was not used in the series, for the same reason as in Test 11. For the nature of the practice series which was carried on May 15 to 19 and May 22 to 26, consult the tabular statement, page 69. Series II. June 3 to 11. Test 1. June 3. Each pupil received a twig of sassafras and was allowed 10 minutes to write as com- ORIGINAL INVESTIGATION 59 60 THE DOCTRINE OF FORMAL DISCIPLINE plete a description as possible. Because of a change in the program, Class 3 did not recite on this day and was unable to take the test. Test 2. June 4. Another picture was exposed for 30 seconds and five minutes were permitted for a descrip- tion of the picture. A little girl in a pink dress was standing near a brass table in a richly furnished room. Rugs covered the hard-wood floor and an easy chair and pillow were in the foreground. A large vase of cattails and palms was on the floor and another containing pampas grass was on the table. Test 3. June 4. Sjn-inga flowers were distributed to each pupil and five minutes' allowance was made for a description. Test 4. June 5. Another chart with ten nonsense syllables of two letters each was exposed for 30 seconds. The arrangement was like Fig. 1, but the syllables were: ro, fe, cu, eh, ad, in, og, na, qi, ub. One minute was given for recording the syllables in the right place. Test 5. June 5. A branch of forsythia leaves was distributed to each pupil, and eight minutes' time was given in which to write as complete a description as possible. Test 6. June 6. Another nonsense figure of ten Imes (Fig. 6) was exposed for 30 seconds. Allowance for reproduction was one minute. Test 7. June 6. Ten geometrical figures (Fig. 7) were exposed on a chart for 30 seconds after the ad- monition to place the figure in the correct place. Three minutes were allowed to draw the figures. Test 8. June 7. Ten two-place figures (similar to Fig. 4) were exposed on a chart for 30 seconds. One minute was allowed for recording in the proper places. Test 9. June 10. A fruiting moss plant was dis- tributed to each pupil. After one minute's observa- ORIGINAL INVESTIGATION 61 62 THE DOCTRINE OF FORMAL DISCIPLINE d d ORIGINAL INVESTIGATION 63 tion the material was put out of sight and five minutes were allowed to record observations. Test 10. June 10. A pumpkin seedling was treated in a similar manner to Test 9. Test 11. June 11. A colored chart of a grape flower was exposed for 30 seconds and 5 minutes' time was allowed for recording. This was not used in the comparison of the series. Test 12. June 11. Another figure of ten lines (Fig. 8) was indicated by tracing the figure with a pencil point in the air. When completed the pupils drew what they had seen. Test 13. June 12. A colored chart of the wild carrot was exposed for 30 seconds and 5 minutes were allowed for a description. This test was not used in the final comparison. Series III. November 6 to 14- After the summer vacation, the writer, having in an advanced class all of the pupils that had both remained in school and had been promoted and not having had time yet to rate the papers of the second series, deemed that it might be useful to give a third series of tests. The pupils were now studying zoology and physiology, whereas during the previous term they had been study- ing botany. The pupils were reminded of the previous tests, told that they would learn their results (which had been delayed because of the interruption of the investigator's plans by other imperative demands) and were asked to undertake a third series of tests. The third series could not be conducted until Novem- ber, and unfortunately, the biological material avail- able afforded little variety and was, I think, on the whole more difficult to describe. Besides, the pupils had not studied botany since June, and moreover, 64 THE DOCTRINE OF FORMAL DISCIPLINE ORIGINAL INVESTIGATION 65 they may have thought that botanical material would not count toward their grades in a zoological course. Test. 1. Nov. 4, Pupils received branches of willow. Ten minutes were allowed for a complete description. Test 2. Nov. 6. Another picture was exposed for 30 seconds, and five minutes were allowed for writing. A typical Holland scene was indicated by the wooden shoes and the peasants' caps of the boy and girl in the foreground. The girl (hold- ing a baby in her arms) was standing on a wharf, while the boy who was seated on a pile was just pulling something out of the water at the end of a long line attached to his fishing pole. In the background were lawns, trees, and several smaU houses. Test 3. Nov. 6. Each pupil received a flower of sweet alyssum and was allowed five minutes for record- ing observations. Test 4. Nov. 8 A chart with 10 nonsense syllables of two letters each, printed on oak tag, was exposed for 30 seconds and one minute allowed for recording. The arrangement was like that of Fig. 1, but the syl- lables were : gi, re, qo, ib, om, ep, da, uh, av, cu. Test 5. Nov. 8. Honeysuckle branches were dis- tributed and eight minutes given for descriptions. Test 6. Nov. 11. A nonsense figure (Fig. 9) was exposed for 30 seconds and one minute was allowed for its reproduction. Test 7. Nov. 11. A chart (Fig. 10) with 10 geo- metrical figures was exposed for 30 seconds. Three minutes were given for reproduction. Test 8. Nov. 12. A chart with ten two-place figures (like Fig. 4) was exposed for 30 seconds. One minute for recording. Test 9. Nov. 13. Each pupil received a pressed fern frond, was allowed one minute for observation, and five minutes for description from memory. Test 10. Because of inability to obtain any material, suitable for comparison with these tests in the other series, the test was omitted. 66 THE DOCTRINE OF FOEMAL DISCIPLINE ORIGINAL INVESTIGATION 67 (CD a 68 THE DOCTRINE OF FORMAL DISCIPLINE ORIGINAL INVESTIGATION 69 Test 11. Nov. 14. The chart of the buttercup flower was exposed for 30 seconds and 5 minutes were allowed for description. This test was not used. Test 12. Nov. 14. Another figure of ten lines (Fig. 11) was outlined in the air with the tip of the experimenter's pencil. The pupils reproduced it on paper. Test 13. Nov. 15. A chart of the poppy flower was exposed for 30 seconds and five minutes allowed for description, but it was not used in the series. The following tabular arrangement will serve to bring the arrange- ment of the test material into compact presentation. No. Date 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 7 8 9 10 April 22 23 23 24 24 25 25 26 29 29 30 30 May 1 Date May 15 16 17 20 21 22 23 24 27 28 SERIES 1 Test Exposure Time for recording Horsechestnut stem 10 min. Picture 30 sec. 5 min. Forsythia flower 5 min. 10 syllables 30 sec. 1 min. Lilac leaves 8 min. Nonsense figure 30 sec. 1 min. Geometrical figures 30 sec. 3 min. 10 2-place figures 30 sec. 1 min. Scouring rush 1 min. 5 min. Maple seedling 1 min. 5 min. Pea chart 30 sec. 5 min. Figure in air Potato chart 30 sec. 5 min. Practice Series Material Recording Description of the lilac flower Ten Description of the box-elder leaf minutes Description of the stem, leaf, and for flower of gill-run-over-the-groimd each Description of flower-stalk and test flowers of the Uly-of-the-valley Description of the horsechestnut flower Description of the buttercup flower Description of the mustard flower Description of the dogwood flower Description of the deutzia flower Description of the columbine flower 70 THE DOCTRINE OF FORMAL DISCIPLINE SERIES 2 No. Date June Test Exposure Time for recording 1 3 Sassafras stem 10 min. 2 4 Picture 30 sec. 5 min. 3 4 Syringa flower 5 min. 4 6 10 syllables 30 sec. 1 min. 6 5 Forsythia leaves 8 min. 6 6 Nonsense figure 30 sec. 1 min. 7 6 Geometrical figures 30 sec. 3 min. 8 7 10 2-place figures 30 sec. 1 min. 9 10 Moss plant 1 min. 5 min. 10 10 Pumpkin seedling 1 min. 5 min. 11 11 Grape chart 30 sec. 5 min. 12 11 Figure in air 13 12 Wild carrot SERIES 3 30 sec. 5 min. No. Date Test Exposure Time for recording Nov. 1 4 Willow stem 10 min. 2 6 Picture 30 sec. 5 min. 3 6 Alyssimi flower 5 min. 4 8 10 syllables 30 sec. 1 min. 6 8 Honeysuckle leaves 8 min. 6 11 Nonsense figm-e 30 sec. 1 min. 7 11 Geometrical figures 30 sec. 3 min. 8 12 10 2-place figures 30 sec. 1 min. 9 13 Fern frond 1 min. 5 min. 10 11 14 Buttercup chart 30 sec. 5 min. 12 14 Figm-e in air 13 15 Poppy chart 30 sec. 5 min. ORIGINAL INVESTIGATIONS 71 VII. Marking the Tests and Use of the Scores. The author was assisted in the marking of the tests by her sister, who had had four years of office experience in one of New York's elementary schools. She rated the 4th, 7th, and 8th tests of each series. Both rated together the 6th and 12th tests of each series. The author herself rated Tests 1, 2, 3, 5, 9, 10. Tests 11 and 13 were discarded. Rating of the Tests of Series 1. Tests 1, 2, 3, 5, 9, 10 were rated in the following manner: one credit was allowed for every descriptive noun, adjective, verb, and adverb. In fact, every word or statement presenting an idea, a modification of that idea, or an action, was allowed one credit. Credit was not allowed for the same word repeated in several connections. The rating therefore indicates the sum total of the observations made in regard to the object. Tests 4, 7, 8 were rated in the following manner: 10 credits were allowed for each correct syllable, correct geometrical figure and correct two-place number which was also correctly placed; thus as there were 10 of each, it was possible to obtain 100 per cent. If the correct syllable, correct geometrical figure, or correct two-place number was displaced one more to the right, left, above, or below, one credit was deducted, if two places to the right or left, two credits were deducted, etc. Tests 6 and 12 were rated in the following manner: one credit was given to each correct line of the ten comprising the figure. It was not required that the figures of Test 12 should be entirely symmetrical, but full credit was given for each line that indicated that the subject knew approximately the direction of the lines. 72 THE DOCTKINE OF FORMAL DISCIPLINE Use of Results of Series 1 . The average was obtained of the results of each pupil's work in the eleven tests. These averages formed the basis of the division of the classes for the practice series. In each class, the boy receiving the highest average was placed on the non-practised side while the boy with the next highest average was placed on the side to receive practice. This was continued until the list was exhausted. The same method was followed with the girls. Rating of the Practice Series. All of the ten tests of the practice series were rated by the investigator in the same manner as were Tests 1, 2, 3, 5, 9, 10. The tests were rated in the order in which they had been given: No. 1 first and No. 10 last. Rating of the Tests of Series 2 and 3. Test 1 of Series 2 was rated and then Test 1 of Series 3 was rated for the same pupil. The grading of these tests was then carefully compared with the rating of Tests 1 of Series 1 to avoid as much as possible any discrepancy in the rating. This method was followed for each pupil throughout the six tests. Tests 4, 7, 8, of the 2d and 3d series were rated in the following manner: After the assistant had carefully reconsidered her marking of Test 4 in Series 1, she rated Test 4 of Series 2 and then of Series 3. The same method was followed in Tests 7 and 8. Tests 6 and 12 were rated by both markers, working together. Each pupil's three test papers in the three series were compared individually to establish improve- ment or decrease of ability of that particular individual. The investigators then agreed upon the rating to be allowed each test. ORIGINAL INVESTIGATION 73 Method of Treating the Scores. Averages were made for each pupil in each series from the rating given to each test as described above. Ratings of Tests 1, 2, 3, 5, 6, 9, 10, and 12 were re- duced to the percentage basis by multiplying each rating by the fraction in each test of each series re- quired to make the highest rating 100 per cent, for that test in that particular series. On the basis of the data acquired by both methods, tables have been made to compare the practised and the unpractised pupils of each class in two respects in regard to (1) their ability in the biological tests and (2) their ability in the non-biological tests. In case of the occasional absence of a pupil, the figures for that test had to be omitted from similar tests in each of the three series, in other words, the series were made homogeneous. Therefore, another table was made, consisting only of pupils who had been present at all the tests of two or more series, while still another table was compiled of the data of those pupils who had been present at all three series of tests. Tables showing the basis of the division for the prac- tice groups are presented. The class ratings in biology of the test pupils for the year during which the tests were performed, are recorded together with their ratings in the state examination. From all of these various tables, comparisons and conclusions are made, and finally the results of the present investigation are compared with those of other workers in the pedagogical field. 74 THE DOCTRINE OF FORMAL DISCIPLINE TABLE I. ORIGINAL SCORES. Class I, Series I. Boys 12 3 Garratt 14 23 20 Hart 12 11 18 Hugger 18 19 16 Jaegers 8 15 6 Johnston.. . .16 27 6 Lefkowitz... 5 14 17 Rhodius 22 41 22 Riconda 10 23 17 Waller 29 23 32 Walsh 17 19 16 Weber 14 23 15 Wetjen 9 16 Wild 22 18 18 Girls Clute 26 30 23 Cohen Conradi 21 21 20 Engels 35 30 26 Geffert 22 34 16 Haag 17 20 15 Hamilton. ..21 37 28 Howard 33 30 19 Ilch 36 47 33 Kolsch 27 29 16 Kelly 25 32 30 Kelly, K....24 34 20 Krumholz...25 39 23 Manwaring..29 39 21 McGreevy...28 39 32 Millang 17 27 20 Murtagh. . . . 16 24 21 Perry 26 17 10 Savage 28 24 19 Schmidt 31 40 26 Tests 7 8 10 12 Total Aver. Age 69 21 10 71 60 22 18 7 335 30.45 70 18 6 28 59 12 13 2 249 22.63 68 8 10 70 79 18 14 10 330 30 80 14 6 80 70 8 10 8 305 27.72 80 7 3 57 37 7 17 257 25.7 47 13 8 43 40 19 15 5 226 20.54 49 21 6 50 60 27 11 2 311 28.27 49 8 5 49 12 11 8 192 19.2 78 23 8 69 70 16 14 6 368 33.45 60 11 4 37 50 15 13 2 244 22.18 70 14 8 50 58 14 11 5 282 25.63 50 7 8 70 67 8 1 4 240 24 40 13 6 42 67 11 4 9 250 22.72 40 14 9 60 73 4 279 31 80 19 4 75 83 26 20 2 309 38.62 48 15 3 60 29 13 22 1 253 23 69 25 6 60 50 24 19 9 353 32.09 100 11 5 80 70 19 23 9 389 35.36 70 15 4 48 50 10 16 5 270 24.54 49 29 7 79 50 24 24 3 351 31.9 68 27 4 38 38 17 21 1 296 26.9 80 37 6 40 39 25 24 7 374 34 50 29 1 36 80 17 22 3 310 28.18 25 3 60 21 21 5 222 24.66 70 20 8 40 69 16 18 7 326 29.63 90 23 6 50 74 28 18 7 383 34.81 60 17 4 70 50 10 17 3 320 29.09 70 31 8 70 60 26 30 4 398 36.18 50 22 9 70 50 7 272 30.22 50 11 1 50 56 13 12 4 258 23.45 69 13 6 60 58 14 13 3 289 26.27 79 18 8 60 70 11 13 6 336 30.54 60 33 9 60 60 23 28 8 378 34.36 ORIGINAL INVESTIGATION 75 TABLE 1. ORIGINAL SCORES (Continued). Class I, Series II. Tests Boys 123456 7 89 10 12 Total Garratt 36 24 24 90 22 10 80 80 22 24 8 420 Hart 16 27 21 59 13 7 30 80 20 14 3 290 Hugger 8 26 15 70 8 10 70 100 12 13 10 342 Jaegers 20 13 19 79 18 10 66 77 17 19 4 342 Johnston 22 19 10 70 13 8 90 50 15 10 8 315 Lefkowitz 26 27 20 40 36 10 60 30 20 23 7 299 Rhodius 41 44 24 60 22 9 80 40 22 22 5 369 Riconda 11 18 18 60 12 7 80 80 13 16 9 324 Waller 19 13 18 60 15 10 79 92 14 11 7 338 Walsh 12 35 13 70 12 6 70 50 16 9 1 294 Weber 16 28 18 79 14 9 90 80 15 13 7 369 Wetjen 22 9 9 77 15 10 70 53 10 10 5 290 Wild 24 18 10 57 9 5 49 49 14 9 8 252 Girls Clute 30 28 22 60 26 10 80 89 20 19 2 386 Cohen 27 32 14 40 26 9 60 71 23 23 3 328 Conradi 25 24 16 50 25 9 47 58 15 18 7 294 Engels 35 30 28 38 40 8 60 36 24 31 7 337 Geffert 28 22 18 100 27 9 100 100 26 20 7 457 Haag 36 32 23 59 19 7 70 54 21 19 3 343 Hamilton 37 35 33 50 35 8 70 25 29 3 325 Howard 34 40 23 89 31 2 50 26 22 19 3 339 Ilch 31 39 27 60 22 7 90 74 23 22 6 401 Kolsch 37 27 19 76 31 5 47 57 19 22 340 Kelly 38 27 26 50 29 5 80 42 19 21 337 Kelly, K 26 37 16 70 18 9 90 74 16 16 6 378 Krumholz 29 24 19 60 25 8 80 68 22 17 3 355 Manwaring 25 29 22 60 20 7 90 80 24 19 4 380 Millang 33 22 24 80 29 10 50 77 19 18 2 364 Perry 34 14 15 30 13 8 78 80 14 12 1 299 Savage 25 20 20 90 21 7 70 70 17 16 5 361 Schmidt 42 35 30 58 39 8 60 48 22 31 9 382 76 THE DOCTRINE OF FOEMAL DISCIPLINE TABLE 1. ORIGINAL SCORES (Continued). Class I, Series III. Tests Boys 1 2 3 4 5 6 7 8 9 12 Total Garratt 20 36 27 70 25 10 60 60 14 5 327 Hugger 28 19 13 60 6 10 80 58 13 7 294 Johnston.. . . 29 37 12 80 18 10 50 70 13 9 328 Lefkowitz. . . 25 27 27 40 27 10 50 50 15 8 279 Rhodiua 21 39 20 70 24 10 60 69 20 7 340 Waller 22 33 20 90 22 10 70 70 13 4 354 Walsh 24 26 13 68 15 10 56 59 6 2 279 'Wetjen 25 20 10 48 15 10 59 46 22 3 258 WUd 23 23 19 80 11 10 58 49 17 5 295 Girls Engels 34 29 24 38 28 9 70 69 24 2 327 Geffert 23 37 22 80 24 10 52 72 14 5 339 Hamilton . . . 26 32 31 50 24 8 50 46 23 10 300 Howard , 22 44 29 60 30 6 60 50 18 5 324 Ilch , 34 44 28 69 26 10 67 54 28 10 370 Kolsch , 32 38 19 40 27 9 20 53 13 2 253 Kelly, K... . 17 36 20 80 24 9 50 57 22 10 325 Krumholz. . . 27 34 20 80 29 9 80 63 17 10 369 Manwaring. . 33 38 21 60 26 10 59 60 27 5 339 Millang . 25 21 18 50 31 10 39 79 21 8 302 Murtagh . 25 29 23 79 22 9 55 60 13 3 318 Perry . 18 32 23 40 14 8 50 60 20 3 268 Savage , , 30 26 24 60 23 10 60 70 17 2 322 Schmidt , 29 39 27 50 29 10 79 20 31 10 324 ORIGINAL INVESTIGATION 77 TABLE 1. ORIGINAL SCORES (Continued). Class II, Series I. Boys 3 Tests 5 6 7 8 9 10 12 Total Aver. Age Andrews 23 46 28 Bernhardt... 25 30 29 Demarest. . .23 29 27 Dinneen 24 27 25 Franklin.... 35 28 24 Friedland. ..28 32 22 Kartell 15 25 19 MuUady.. ..24 14 18 Schuler 20 32 20 Smyth 26 11 22 Vandevel....20 30 20 Girls Blanc 35 34 22 Bliimen 17 33 17 Brady 22 16 13 Dale8san....20 30 17 Dehn 14 26 9 Gannon Geissen 12 35 25 Grodzic 14 30 18 Hynes 30 29 34 Inglis 23 34 24 Keane 19 11 18 Luft 23 25 30 Lutz 48 34 Meyer 16 18 17 Rehm 34 29 16 Rudolf 25 33 24 Schnering. . . 19 21 15 Schreiner....l9 22 20 Wunder 19 42 36 50 27 2 40 60 19 20 5 320 29.09 14 65 20 4 50 50 14 24 3 314 28.54 14 69 29 9 80 68 24 19 7 384 34.905 I 14 67 19 5 69 67 18 18 4 343 31.18 15 59 28 5 90 55 22 22 5 373 33.9 12 60 17 3 50 39 24 24 299 27.18 13 80 19 5 50 18 14 3 248 24.8 15 77 17 6 50 24 16 3 249 24.9 14 90 22 3 50 69 22 18 10 356 32.36 13 70 15 9 50 67 13 14 6 303 27.54 14 60 29 6 70 55 14 17 7 328 29.81 17 100 20 9 70 66 28 20 8 412 37.45 14 50 13 6 80 50 8 18 4 296 26.9 14 70 18 7 50 59 17 14 9 295 26.81 15 80 19 4 60 80 21 19 7 357 32.45 14 70 9 5 70 67 10 13 5 298 27.09 15 69 26 7 59 66 15 21 9 272 34 14 77 16 9 70 90 13 13 8 368 33.45 14 90 16 10 80 60 15 17 5 355 32.27 14 58 20 6 59 30 16 24 306 30.6 15 90 18 7 60 80 16 21 6 379 34.45 13 79 9 5 50 29 9 15 2 246 22.36 15 90 18 5 68 58 22 21 5 365 33.18 14 57 26 39 21 26 2 253 31.62 14 90 23 6 40 79 18 15 4 326 29.63 13 70 20 5 60 84 20 19 357 35.7 13 60 22 4 69 49 19 24 6 335 30.45 13 80 16 4 46 70 13 15 10 309 28.09 15 30 17 2 90 27 20 25 3 275 25 13 57 29 3 79 44 31 34 7 381 34.63 12 78 THE DOCTRINE OF FORMAL DISCIPLINE TABLE I. ORIGINAL SCORES (Continued). Class II, Series II. Boys Tests 5 6 7 10 12 Total Andrews 32 43 Bernhardt 34 22 Demarest 42 27 Dinneen 25 24 FranJdin 34 41 Friedland 40 35 HarteU 24 16 MuUady 21 22 Schuler 23 25 Smyth 31 18 Vandevel 29 27 Girls Blanc 37 35 Blumen 24 25 Brady 22 20 Dalessan 25 33 Dehn 21 Gannon 29 30 Geissen 29 24 Grodzic 29 26 Hynes 34 28 IngUs 35 39 Keane 19 22 Luft 29 23 Lutz 46 37 Meyer 20 25 Rehm 29 27 Rudolf 30 34 Schnering 18 24 Schreiner 25 33 Wunder 35 38 28 39 19 9 60 59 20 22 6 337 24 70 22 9 79 90 17 25 5 397 28 69 36 7 70 70 20 26 6 401 18 48 15 6 87 69 10 11 4 317 30 90 16 10 100 64 19 25 6 435 32 60 34 9 50 56 29 25 4 374 17 80 19 7 70 50 21 15 3 322 14 60 30 8 54 57 25 20 2 313 25 30 6 75 77 23 21 6 311 26 60 29 10 60 78 20 21 7 360 27 70 28 6 60 67 19 19 6 358 25 100 27 9 100 67 24 27 8 459 16 69 21 10 100 59 19 17 5 365 16 50 22 7 80 80 17 18 9 341 17 100 13 8 80 60 14 23 3 376 60 10 9 89 18 13 2 222 17 62 22 7 79 70 17 21 3 357 24 70 22 10 100 80 17 18 7 401 22 100 20 10 98 68 11 16 4 404 24 50 18 9 53 44 19 24 3 306 22 90 30 10 90 80 20 25 5 446 12 48 12 7 76 40 11 8 3 258 28 57 30 8 69 71 25 21 7 368 33 50 33 5 64 58 27 33 2 388 15 70 22 8 70 87 19 11 6 353 22 69 16 5 79 70 26 13 9 365 25 58 20 10 90 43 29 19 7 365 17 80 20 9 80 69 19 16 3 355 34 70 24 9 69 50 19 16 6 355 20 59 33 9 90 49 22 22 6 383 ORIGINAL INVESTIGATION 79 TABLE I. ORIGINAL SCORES (Continued). Class II, Series III. Tests Boys 1 2 3 4 5 6 7 8 9 12 Total Andrews. . . 17 34 20 49 32 10 50 38 24 5 279 Bernhardt. . 29 33 25 68 23 10 50 60 13 5 316 Friedland . . 20 36 28 38 23 7 49 80 18 5 304 Kartell.... . 28 15 16 80 17 9 60 56 18 2 301 Mullady. . . 30 27 13 60 22 8 43 69 19 3 294 Schuler. . . 37 23 59 25 7 60 36 23 3 273 Girls Blanc . 40 33 28 90 24 10 67 70 26 5 393 Blum en. . . . 31 44 17 78 18 7 90 53 19 5 362 Brady. . . . . 22 25 14 40 16 10 80 60 23 5 295 Dalessan. . . 25 36 19 64 16 10 50 80 14 6 320 Gannon . . . .. 27 33 14 80 21 7 64 68 13 2 329 Geissen. . . . 29 38 19 70 19 10 90 70 21 10 376 Grodzic. . . . 16 36 21 59 14 10 90 50 17 4 317 Inglis .... . 32 41 30 70 27 10 80 80 27 5 402 Keane. . . . . 10 17 10 47 12 10 49 38 7 3 203 Luft . 22 32 23 68 25 10 70 56 18 4 328 Lutz . 37 45 28 60 33 9 80 80 29 5 406 Meyer. . . . . 30 32 16 40 21 10 58 59 19 2 287 Rehm . 23 31 18 59 24 10 69 38 13 5 290 Rudolf.... . 30 32 26 80 22 10 90 50 22 6 368 Schreiner. . .. 25 33 23 70 24 8 80 59 17 4 343 Wunder. . . . 37 35 27 62 36 6 48 30 24 6 311 80 THE DOCTRINE OF FORMAL DISCIPLINE TABLE I. ORIGINAL SCORES (Continued). Class III, Series I. Tests Boys 123456789 10 12 Total Aver. Age Alliano 15 27 13 78 14 7 70 67 12 14 3 320 29.09 15 Archimal....26 33 24 39 24 8 80 74 25 21 3 357 32.45 12 Baldelli 27 21 15 59 21 7 90 69 15 21 3 348 31.63 14 Bonomo 22 33 25 60 30 10 90 70 25 23 4 392 35.63 14 Cohen 25 32 23 49 18 6 70 59 16 8 5 311 28.27 14 Cullum 20 24 26 40 21 2 80 60 22 21 7 323 29.36 15 Diiff 28 39 16 80 27 5 90 70 22 30 6 413 37.54 14 Friedman. .. 17 22 26 66 13 8 70 60 20 16 8 326 29.63 15 Miethke....27 31 13 36 18 4 60 30 17 19 7 262 23.81 14 Ruppell 29 37 18 80 24 9 100 86 20 26 7 436 39.63 13 Steiner 13 24 13 56 18 40 56 9 11 6 246 22.36 12 Timmann...20 28 22 30 31 3 60 70 16 19 7 306 27.81 14 Girls Brown 27 31 26 90 17 3 48 70 16 14 3 345 31.36 15 Busby 20 32 26 68 19 3 77 70 18 20 6 359 32.63 13 Duffy 28 27 26 90 5 48 27 15 266 33.25 14 Dure 17 26 19 80 16 7 60 70 16 23 4 338 30.72 14 GaUo 16 33 24 79 12 4 48 79 18 24 3 340 30.9 15 George 18 35 19 80 15 6 50 48 16 20 307 27.9 15 Hacker 24 25 25 50 25 80 23 22 8 282 31.33 15 Hill 19 27 14 90 15 100 23 19 3 310 34.44 14 Johnson 22 22 17 90 20 3 58 70 16 16 4 338 30.72 14 Morton 15 18 20 90 22 6 89 20 17 8 305 30.5 14 Netz 14 33 19 50 20 5 60 76 17 24 4 322 29.27 14 Sbarra 16 20 14 90 19 7 68 80 11 23 2 350 31.81 14 Schulz 19 23 6 50 18 4 79 90 11 17 2 319 29 14 Weed 23 21 19 50 14 2 59 50 19 13 2 272 24.72 16 Woodbury... 27 29 29 60 32 5 90 68 19 16 5 380 34.54 13 ORIGINAL INVESTIGATIONS 81 TABLE I. ORIGINAL SCORES (Continued). Class III, Series II. Boys Tests 5 6 10 12 Total Alliano 25 13 60 11 10 Archimal 26 26 50 31 8 Baldelli 18 22 70 20 6 Bonomo 23 70 35 10 Cohen 30 24 50 30 6 Cullum 24 23 60 24 5 Duff 35 34 70 31 5 Friedman 32 24 70 23 8 Miethke 25 20 80 32 9 Ruppel 33 21 80 24 8 Steiner 23 21 69 27 9 Timmann 42 27 59 35 Girls Brown 38 29 58 31 5 Busby 31 26 80 23 6 Duffy 32 34 49 15 5 Duro 36 24 37 26 6 GaUo 36 18 69 19 4 George 80 13 Hacker 33 21 60 24 9 HiU 30 9 78 19 10 Johnson 30 18 90 21 4 Morton 27 20 78 13 6 Netz 39 16 68 23 9 Sbarra 17 IS 68 24 9 Schulz 27 8 50 24 6 Weed 24 25 70 18 6 Woodbury 31 18 64 29 9 80 41 8 3 251 90 50 28 37 8 354 80 73 21 20 7 337 100 100 28 36 7 409 40 69 22 19 4 294 70 79 22 21 6 334 70 70 30 34 4 383 90 40 21 22 3 333 100 68 22 22 3 381 80 100 29 27 2 404 80 39 15 21 4 308 70 69 26 26 2 356 58 38 27 24 4 312 80 58 18 18 6 346 37 68 19 21 8 288 70 70 20 25 4 318 90 80 24 22 3 365 70 69 15 17 2 266 90 100 18 27 8 390 100 90 18 14 8 376 86 90 16 16 5 376 90 60 22 9 5 330 70 60 21 18 3 327 90 90 18 25 3 359 80 80 16 20 4 315 80 100 13 13 4 353 85 39 20 16 4 315 82 THE DOCTEINE OF FORMAL DISCIPLINE TABLE I. ORIGINAL SCORES (Continued). Class III, Series III. Tests Boys 1 2 3 4 5 6 7 8 9 12 Total Archimal — . 35 45 24 60 29 10 84 75 24 5 391 Baldelli.... . 24 30 16 70 13 10 79 58 27 5 332 Bonomo... . . 26 38 27 46 36 7 80 78 29 2 369 Cohen . 39 34 23 30 33 10 76 38 29 2 314 Cullum .... . 25 40 29 50 21 8 40 82 27 3 325 Duff . 34 45 27 69 36 10 70 60 24 4 379 Friedman. . . 17 36 22 39 24 10 50 70 27 6 301 Miethke. . . . 27 31 13 60 23 10 60 59 27 8 318 RuppeL . . . . 27 38 25 70 27 10 90 37 25 3 352 Steiner . 28 33 21 50 22 8 40 70 17 2 291 Girls Busby . 30 38 28 100 23 10 80 78 28 5 420 Duffy . 29 39 27 56 22 3 50 66 28 5 325 Duro . 24 30 15 50 19 10 59 66 24 2 299 Gallo . 33 37 22 68 20 9 68 40 21 3 321 Hacker . . . . 26 39 31 50 39 10 70 50 26 5 346 Hill . 30 27 21 32 10 90 70 14 3 297 Johnson . 22 33 16 39 19 10 70 80 24 3 316 Morton . 24 33 19 70 13 9 80 80 22 8 358 Netz . 13 38 17 46 16 7 67 69 21 6 300 Sbarra . 23 22 14 80 16 10 58 70 16 2 311 Weed . 25 32 22 49 16 9 50 50 13 5 271 Woodbury.. . 28 31 28 48 21 10 88 58 29 4 345 ORIGINAL INVESTIGATION 83 Explanation of Table 1 The original ratings and totals of each pupil in Series I, II, and III, together with the average of each pupil in Series I and the age at the time of the tests of Series I, are presented in Table I. Blanks indicate that pupils were absent from the tests. As absences were so frequent, it seemed advisable during the tests of Series II and III, in order to have sufficient data to secure results, to require the pupils to perform the tests either before or after school as soon as possible after their return. No deviation from the method of procedure occurred. A careful record was kept of those who did not perform the tests with the class. As far as could be discovered, there seemed to be no great difference between the ratings secured when the test was performed independently and the average ratings of that pupil when the tests were performed with the class. Of course, it is impossible to state whether the pupil's rating in a particular test would have been higher or lower if performed with the class. Some- times a pupil did better and sometimes worse. Comparison of Practised and Unpractised Groups. Table 2 is based upon the scores of the practised and unpractised pupils in all three series, reduced to percentages as explained above under method of treat- ing the scores. In computing it we disregarded absences and also the omission of Test 1 in Series II by Class III and Test 10 from Series III. As the absences are about equally divided among the practised and unpractised, no very great discrepancy is made with such large totals. 84 THE DOCTRINE OF FORMAL DISCIPLINE From the summary, that Table 2 provides, it will be noticed that in Series 1, in each of the three classes, the unpractised boys and unpractised girls have higher totals than the practised. This, of course, is due to the intentional division for the practice groups to favor the unpractised. In spite of the omission of Test 1 from Series 2 by Class 3, it is interesting to note that there is an im- provement in Series 2 over Series 1 by the practised boys of Class 3 and by both the practised and unprac- tised girls. With two exceptions, the unpractised boys of Class 3 and the unpractised girls of Class 1, there is an im- provement in Series 2 over Series 1. These two excep- tions are undoubtedly due to the omission of Test 1 by Class 3 from Series II and in the case of the girls of Class 1, by the omission of the whole eleven tests of Series II by one girl of the unpracticed half. The increase of Series II over Series I of the seven- teen practised boys, even with the omission of Test 1 of Series II by Class 3, is 1342.80. Disregarding ab- sences, these seventeen boys performed 187 tests in Series II, thus making an increase of 7.18 for each individual test. Whereas the increase of Series II over Series I of the 17 unpractised boys with the omis- sion of Test 1 of Series II by Class 3 is only 399.88, thus making an increase of only 2.13 for each of the 187 tests in Series II. The twenty-five girls of the practised half of Series II, even with the omission of Test I by Class 3, show an increase over the twenty-six girls of Series I of 1436.98. Disregarding absences, these twenty-five girls performed 275 tests in Series II, thus there is an increase of 5.22 for each test. Whereas the twenty- ORIGINAL IX^'ESTIGATION 85 TABLE 2. C0iIPARI30N OP PlUCTISED AN'D UXPRACTISED GbOXJPS IK AlL TeSTS. Practised Unpractised i a X >> T. r. z. ? — o - X "^ gQ " SQ I 12' 3143.04 12 3963.28 8 2532.78 II 10, 3121.47 10 3538.55 6 1816.04J III 12; 3879.82 12 *3985. 30101 3499.54'] Total 34 10144.33 34 11487.13 24 7848.36" 3344.63 3627.60] 2362.35 3300.551 3534.46; 1781.72 4048.53 *393 1.53, 3432.99 10693. 71-11093. 59' 7577.06 Increase in Series 11 1342. 80 399.88 I II III To:; 87'^ 18 6630.22 121 4124.03 6429.35 •' :- 0118' 6651.89112; 4104.17 5848.47 411^.51 14*4207. 2(^ 8; 2735.44' 422* (j9 16052.39:50,17489.37 5941.74 6200.93 *4449.69 4011.01 4144.15 2606.43 3210963.6; :rr ; 1 1 : ^'>2. 3610761. 59 Increase in Series 11 1436. 98 * Test I omitted, t Test 10 omitted. five girls of the unpractised half, show an increase of S6.45 in Series II over the twenty-six girls of Series I. Thus for the 275 tests, there is an LQcrease of only ,31 for each test. With regard to Series III, with the exception of the girls of the unpractised half of Class 2, the totals of the practiced half are higher than those of the cor- responding unpractised half lq each class for both boys and girls. 86 THE DOCTRINE OF FORMAL DISCIPLINE It is self-evident that these figures are necessarily inexact, but even with this crude comparison, the general trend of the results of the experiment can be foreseen. Comparison of Practised and Unpractised Halves in Regard to Ability in Biological and Non-Biological Tests. Table 3 shows the comparative results of the prac- tised and unpractised halves in the Biological tests and in the Non-Biological tests. In this computation, if a pupil was absent from a test in Series I or Series II, the corresponding test for this pupil was omitted from Series II or Series I, thus making the two series homogeneous. In Class (1), one girl in the practised half and one in the unpractised half were absent from most of the tests of Series II, therefore their tests in Series I had to be omitted, although, of course, these latter had helped to form the basis of division for the Practice Series. The ratings of the unpractised one were much superior to those of the practised one in Series I. In Class 1, there is an extra boy on the practised side; in Class 2, an extra boy on the unpractised side; and in Class 3, an extra girl on the unpractised side. Their percentages were not added in the totals of Series I and II, but in Series III of Class 2, the ratings of the extra unpractised boy were included in place of one who had left school. In Series II, Test 1 was omitted by Class III and, therefore, had to be omitted in Series I for that class. Test 10, in Series III was omitted by all three classes. TABLE 3. Comparison of Biological and Non-Biological Tests in Series I and II. Practised Unpractised Biol. Non-Biol. Biol. Non-Biol. Class B I II I II B I II I II I II III 6 5 6 1345.24 1586.83 1355.96 1614.64 1555.62 1803.54 1797.80 1534.64 2135.24 2268.64 1932.93 2181.76 6 5 6 1193.43 1474.27 1333.33 1064.62 1697.33 1496. 78 2155.20 1725.32 2216.20 2439.24 1771.13 2434.75 Totals 17 4288.03 4973.80 5467.68 6383.33 17 4001.03 4258.73 6096.72 6645.12 4288.03 5467.68 4001.03 6096. 72 685.77 915.65 257.70 548.40 Class G G I II III 9 9 7 2555.00 2560.21 1434.81 2979. 25 2772.88 1600.23 3150.12 3122.80 2147.64 3329. 20 3575.01 2447.03 9 9 7 2641.27 2429.39 1542.05 2523.60 2410.76 1523.14 2964. 28 3269.68 2291.28 3245.75 3579. 16 2541.05 Totals 25 6550.02 7352.36 8420.56 9351.24 25 6612.71 6457.50 8525.24 9365.96 6550.02 8420.56 6457.50 8525.24 802.34 930.68 ♦155.21 840.72 Decrease. B = Boys; G = Girls. TABLE 3 (Continued). Gains or Losses in Series II over Series I. Practised Unpractised Class Biol. Non-Biol. Biol. Non-Biol. Gains Losses Gains Losses Gains Losses Gains Losses I II III 269.40 447.58 31.21 470.84 398.29 46.52 223.06 163.45 128.81 284.04 45.81 218.55 .^ Totals 716.98 31.21 915.65 386.51 128.81 548.40 3 I II III 424.25 212.67 165.42 179.08 452.21 299.39 117.67 18.63 18.91 281.47 309.48 249.77 Totals 802.34 930.68 155.21 840.72 88 THE DOCTRINE OF FORMAL DISCIPLINE TABLE 3 (Continued). Numbers of the Tests Omitted to Secure Better Comparison.* Biological Non-Biological Class Practised Unpractised Practised Unpractised o m I II III 1 10 12 8 6 8 4,8 2 Totals 2 3 4 3 I II III 9, 10, 9, 10 1 3 1,3 3, 1,3 5 7,4,8 12, 6, 7 6,7,2 2 12, 2, 7, 2 6, 7, 8, 12 Totals 6 6 9 9 * Tests omitted from Series 1 if absent from Series 2 or vice versa, in order to make the comparison of practised and unpractised of Series 1 and 2 homogeneous. The entire set of tests of Murtagh of the practiced half and McGreevy of the unpracticed of Class 1 were omitted because of protracted absence. TABLE 3 (Continued). Comparison of Biological and Non-Biological Tests in Series III Practised Unpractised Class Boys Biol. Non-Biol. Boys Biol. Non-Biol. I II III 4 3 5 916.62 747.34 1519.88 1616.16 1068.70 1979.66 4 3 5 793.45 701.38 1421.05 1568.90 1080.34 2031.94 Totals 12 3183.84 4664. 52 12 2915.88 4681.18 Class Girls Biol. Non-Biol. Girls Biol. Non-Biol. I II III 6 6 4 1753.43 1578.87 1114.86 2370.36 2525.30 1620.58 6 6 4 1571.81 1593.97 1083.27 2439.20 2550. 18 1507.74 Totals 16 4447.16 6516.24 16 4249.05 6497.12 ORIGINAL INVESTIGATION 89 In Series III, a corresponding number of pupils on the practised and unpractised side were used for the comparison of totals. The integrity of the practised and unpractised sides was preserved as far as was pos- sible, considering the withdrawal of some of the pupils. From this summary provided by Table 3 it will be seen that there is a decrease in the totals of the Bio- logical tests of Series II for the unpractised boys of Class 1 and the unpractised girls of Classes 1, 2, and 3, while the practised boys alone of Class 2 show a slight decrease. Both practised and unpractised groups of all classes, both boys and girls, show an increase in Series II in the Non-Biological tests; but the greater increase in the case of both boys and girls is on the side of the prac- tised group. The division for the practice group was based on the average of the original ratings of the eleven tests of each pupil in Series I, regardless of the distinction be- tween Biological and Non-Biological material, but this summary shows that in each case except the girls of Class I, the unpractised side had higher totals in the Non-Biological tests of Series I than the practised half, and in every case, they had higher totals in the Non- Biological tests of Series II, except the boys of Class 2 and the girls of Class 1, but, as has been said, the greater improvement was in the practised group. It would seem that the superior pupils in the Non-Bio- logical tests were in the unpractised groups, but that something had caused an improvement in the prac- tised groups, although they could not attain to the superior position of their rivals. The seventeen boys in the practised group in the Non-Biological tests gained in Series II 915.65; thus 90 THE DOCTRINE OF FORMAL DISCIPLINE in each of the 102 tests there was an average improve- ment of 8.97, while the corresponding unpractised half gained only 548.40 — an average increase for each of the 102 tests of 5.37. The twenty-five girls of the practised half in the Non-Biological tests made a gain in Series II of 930.68, or an average of 6.2 for each of the 150 tests, whereas the unpractised half gained 840.72, an average of 5.6 for each of the 150 tests. Could it be that the increase of the practised group was due to a transfer from the practice series? Or, is it possible that the unpractised group may have been nearer their physiological limit and therefore could not increase in proportion to the practised? Turning to the Biological tests, as has been noted, only one of the practised divisions, that of the boys of Class 2, lost slightly, while four of the unpractised lost. It is difficult to explain this loss. If the Biologi- cal material of Series II was more difficult, then it would be hard to explain the great gain of both boys and girls in the practised group. When the fu'st series of tests was performed, most of the biological material was comparatively new to the subjects; that is, they did not know any of the technical or scientific terms used in describing stems, flowers, leaves, buds, etc. In the course of their school work between the tests of Series I and II, the pupils learned many technical terms. I felt that this would lower their ratings in the second series, because they might be able to use a single word which would express about the same meaning as a sentence had been required for in the first series. To my surprise, I found that this was not always the case. May it not be possible that the unpractised did exactly this very thing, while ORIGINAL INVESTIGATION 91 the practised, having had ten extra biological speci- mens to describe, had acquired some skill in enumer- ating more at length the characteristics necessary to distinguish one from another? It happened that when the Biological were separated from the Non-Biological tests of Series I, the advantage in the Biological tests in each class of boys and in Class 2 of the girls was with the practised group. In only one class, the boys of Class 2, did the unpractised reach a higher total in Series II than the practised group. Therefore, we cannot assume that the physio- logical limit had anything to do with these tests, as far as the boys were concerned, since those that were better made more improvement, while with the Non- Biological tests, the reverse was true. With the girls, while the advantage was slightly in favor of the un- practised group in Series I, the totals of Series II showed a decrease, while the practised side showed con- siderable increase. In the Biological tests the seventeen boys in Series II made an improvement over Series I of 685.77; thus for the 85 tests, there was an increase of 8.06 per test; whereas the unpractised boys made an increase of 257.70, or for the 85 tests, of 3.03 per test. The twenty-five girls of the practised division, in Series II made a gain of 802.34 over Series I, or for the 125 tests, of 6.41 per test, while the unpractised side lost 155.21, or for the 125 tests, 1.24 per test. Clearly in Series II, the advantage seems to be with the practised side. In computing the average gain or loss per test, no allowance was made for the omission of Test 1 from Series II by Class 3 nor for absences from the tests, therefore the average per test would be slightly greater, 92 THE DOCTRINE OF FORMAL DISCIPLINE but since practically the same number of tests was omitted by both sides, as can be seen from the table of "Tests Omitted," no material difference would be made in the relationship of the practised and unprac- tised sides. The summary of Series III shows the comparison of the totals of twelve boys and sixteen girls in the practised and unpractised groups in both the Biological and Non-Biological tests. Here there is seen in general the same relationship as was shown in the comparison of Series I and II. In Series III, the twelve boys of the practised half have a higher rating than the unpractised in the Bio- logical tests, as they did in both Series I and II; while in the Non-Biological tests, the advantage is with the unpractised as it was in both Series I and II. The sixteen girls show an advantage in the practised side in both Biological and Non-Biological tests, which was just the opposite in Series I, while in Series II, the Biological ratings of the practiced were much higher and the Non-Biological were slightly lower. More accurate comparison will be made later, but all these data seem to show a general advantage in favor of the practised side. ORIGINAL INVESTIGATION 93 TABLE 4. Comparison of Series I and IL Net Gains and Losses When Made Homogenous for Corresponding Pairs of Pupils. Practised Unpractised Class Boys Gains Losses Gains Losses I II III 12 10 12 372 171 201 149 156 219 Total 34 744 524 Class Girls I II III 18 18 14 387 350 160 56 212 28 Total 50 897 296 TABLE 4 (Continued). Comparison op Pupils in Series I and II and III. Net Gains and Losses Made Homogeneous for Corresponding Pupils in All 3 Series. Practised Unpractised Class Boys I and II I and III I and II I and III Gain Loss Gain Loss Gain Loss Gain Loss I II III 8 6 10 250 112 37 159 19 53 2 124 246 21 4 36 Totals 24 399 231 372 61 Class Girls 134 191 122 14 30 62 52 158 57 56 I II III 10 12 8 28 53 Totals 30 447 106 267 56 81 TABLE 4 (Continued). Summary op Pupils Present at All Tests. Net Scores. Practised Unpractised ♦Class B I II I II III I II I II III I II III 8 8 8 1121 1335 1213 1378 1463 1318 828 1148 1019 1222 946 1167 1230 1329 1266 1301 1516 1456 916 1179 899 1366 943 1224 Totals 24 3669 4159 1976 2241 2113 3825 4273 2095 2265 2167 G 1710 1703 1527 3669 1976 1976 3825 2095 2095 Class 490 Gain 1899 1914 1644 1353 1321 853 265 Gain 1455 1479 961 137 Gain 1329 1342 911 1708 1728 1635 448 Gain 1794 1878 1742 1346 1318 937 170 Gain 1424 1445 1002 72 Gain I II III 10 10 10 1386 1369 899 Totals 30 4940 5457 3527 3895 3582 5071 5414 3601 3871 3654 4940 3527 3527 5071 3601 3601 517 Gain 368 Gain 55 Gain 343 Gain 270 Gain 53 Gain * Series III. 14 boys, 22 girls. TABLE 4 (Continued). Comparison of All Pupils Who Were Present at All Tests op Series i and II. Net Gains and Losses. Practised Unpractised Class Boys Gains Losses Gains Losses I II III 8 8 8 257 128 105 71 187 190 Totals 24 490 448 I II III 10 10 10 189 211 117 86 150 107 Totals 30 517 343 OKIGINAL INVESTIGATION 95 TABLE 4 (Continued). Comparison op Pupils Who Were Present at All Tests op Series I, II AND III. Net Gains and Losses. Practised Unpractised I and II I and III I and II I and III Class Boys Gain Loss Gain Loss Gain Loss Gain Loss I II III 6 8 191 74 118 19 187 17 27 45 Totals 14 265 137 187 17 72 Class Girls 102 158 108 21 58 24 78 127 65 40 51 I II III 8 8 6 38 Totals 22 368 79 24 270 91 38 In Table IV, a comparison is made of the original ratings based on Table I of the practised and unprac- tised groups. Test 1 of Series II was omitted by Class 3, and Test 10 of Series III was omitted by all three classes. If a pupil was absent from a test, that test was omitted from his ratings in each of the other series, and also from the ratings of all of the series of his partner. Thus pairs of pupils, chosen when division for the practice groups was made, are compared in exactly the same tests in each of the three series. The Table giving the comparison of Series I and II shows more improvement of the practised group in 96 THE DOCTRINE OF FORMAL DISCIPLINE every class except the boys of Class 3. In Series I, in every case, the unpractised group had higher ratings than the corresponding practised group. In Series II, this is true only in the case of the unpractised boys and girls of Class 3. But the total improvement is greater for the practised group. The seventeen boys of the practised group made a gain of 744 in Series II over Series I. With fourteen of the 187 tests omitted, the practised boys made an average gain of 4.3 per test in their ratings while the corresponding unprac- tised boys gained 524 in Series II with an average gain per test of 3.02. The twenty-five girls of the practised group made a gain of 897 in Series II. Omitting 34 of the 275 tests, the practised girls made an average gain of 3.72 per test, while the unpractised girls gained 296 in Series II, an average of 1.22 per test. A comparison of the 24 boys and 30 girls in Series I, II and III, shows the greater improvement to be in the practised group. This is true for both Series II and Series III. The only loss is in Series III by the unpractised groups of girls in Classes 1 and 3. A summary of the 24 boys and 30 girls present in all the tests, again shows the advantage to rest with the practised group. Twelve boys performing eleven tests each, with a total of 132 tests, gained 490 or 3.71 per test, while fifteen girls performing a total of 165 tests, gained 517 or 3.13 per test. The twelve boys of the unpractised group gained 448, with an average of 3.39 per test while the fifteen girls gained 343, average 2.08 per test. The seven boys of the practised group in Series III compared with Series I showed greater improvement than the unpractised, and the eleven girls showed a very little more improvement than their corresponding group. ORIGINAL INVESTIGATION 97 A comparison of pupils who were present at all tests of Series I, II and III, again shows for the fourteen boys and twenty-two girls, the former to manifest great- er improvement for the practised group in both series, while the girls show a greater improvement in Series II but very little difference in Series III. TABLE 5. Class I, Series 1. Division op Classes for Practice Groups. No. of No. of Average Missing Average Missing Boys Tests Boys Tests Garratt 30.45 Waller 33.45 Rhodius 28.27 Hugger 30.00 Johnston 25.70 1 Weber 27.70 Hart 22.63 Wild 22.72 Walsh 22.70 Wet j en 24.00 1 Lefkowitz 18.60 Riconda Total 19.20 1 Total 148.35 157.07 Jaeger 27.72 Girls Girls *Engels 32.09 Kolsch 28.18 Geflfert 35.36 McGreevy 36.18 Schmidt 34.36 Krumholz 34.81 Hamilton 31.90 Ilch 34.00 Millang 30.22 2 Savage 34.66 Man waring 29.09 KeUy, K. 29.63 Haag 24.54 Howard 26.90 Murtagh 23.45 Perry 24.18 *KeUy 24.66 2 Conradi 19.44 Clute 33.30 t Cohen Total 43.83 t Total 298.97 311.81 * Indicates names should have been transferred, because of higher averages. t Six experiments alike. TABLE 5 I (Continued). » Class II , Series I. Division OF Classes FOR Practice Group. No. of No. of Average Missing Average Missing Boys Tests Boys Tests Andrews 29.09 Vandevel 29.81 Friedland 27.18 Smyth 27.54 Kartell 24.80 1 MuUady 24.90 1 Franklin 33.90 Demarest 34.90 Dinneen 31.18 Schuler Total 32.36 Total 146.15 149.51 Bernhardt 28.54 Girls Girls Rehm 35.70 1 Blanc 40.4 Inglis 34.45 Wunder 34.63 Luft 33.18 Geissen 33.45 Grodzic 32.27 Dalessan 32.45 *Rudolf 32.90 Hynes 30.60 Schnering 28.09 Meyer 29.63 Brady 26.81 Blumen 26.90 Schreiner 25.00 Dehn 27.09 Lutz 28.50 t Gannon Total 34.33 Total 276.90 289.48 Keane 22.36 t Six experiments alike. TABLE 5 (Continued). Class III, Series I. Division op Classes for Practice Groups. No. of No. of Average Missing Average Missing Boys Tests Boys Tests Duff 37.54 Ruppel 39.63 Archimal 32.45 Bonomo 35.63 Timman 27.81 Alhano 29.09 Friedman 29.63 BaldelU 31.63 Cohen 28.27 CuUum 29.36 Steiner 22.36 Miethke 23.81 Total 178.06 189.15 Girls Girls Hacker 31.33 Hill 34.44 2 Busby 32.63 Woodbury 34.54 Brown 31.36 Sharra 31.81 Duro 30.72 Johnson 30.72 Weed 24.72 Gallo 30.90 Schulze 29.00 Netz 29.27 George 30.50 Duffy Total 33.25 Total 210.26 224.93 Morton 30.50 1 ORIGINAL INVESTIGATION 99 TABLE 5 (Continued). Summary of Practice Groups. Practised Unpractised Class Boys Total Average Total Average I 12 148.35 157.07 II 10 146.15 149.51 III 12 34 178.06 189.15 Total 472.56 495.73 472.56 23.17 Class Girls I 20 298.97 311.81 II 18 276.90 289.48 III 14 52 210.26 224.93 Total 786.13 826.22 786.13 40.09 From the results of the tests ot Series I, the three classes were divided into two groups, one for the extra practice and the other for comparison. In each class, boys and girls considered separately, the two pupils having their averages from the original ratings of Series I, Table I, nearest alike, were chosen for com- parison and the one with the higher rating was placed in the unpractised group. In case of absence from one or more tests, the same test was omitted from the nearest pupil's average. In three cases, through faulty manipulation or computation, pupils having higher ratings were placed with the practised group. It is possible now, to see a few changes that might have made an improvement. But in every case, in every class, the higher total for both boys and girls was in the unpractised group. The summary shows that in Series I, the unprac- tised group of boys was ahead in their averages by 23.17 while the unpractised girls outran the practised by 40.09. 100 THE DOCTRINE OF FORMAL DISCIPLINE TABLE 6. Class Marks in Botany, February to June, 1912; Zoology, Sep- tember TO February, 1913. Boys Garratt Rhodius Johnston Hart Walsh Lefkowitz Total Jaegers Practised Class I. 1 2 February to June, 1912. 3 4 Total Boys 83 70 80 80 313 WaUer 70 80 80 80 310 Hugger 60 55 50 65 230 Weber 50 45 55 40 190 Wild 62 55 70 65 252 Wet j en 55 60 62 65 242 Riconda 380 365 397 395 1537 Total 70 75 75 75 295 Unpractised 1 2 3 4 '■ Total 55 55 40 60 210 60 80 70 75 285 63 60 70 73 266 60 57 50 60 227 60 50 65 67 242 65 50 50 40 205 363 352 345 375 1435 Girls Girls Engles 75 80 82 83 320 Kolsch 80 83 80 85 328 Geffert 70 75 77 75 297 McGreevy 75 60 65 60 260 Schmidt 80 82 85 85 332 Krumholz 78 80 85 85 328 Hamilton 55 60 65 65 245 Ilch 72 70 70 73 285 Millang 77 82 85 85 329 Savage 70 55 60 60 245 Man waring 78 75 75 80 308 Kelly, K. 74 72 70 72 288 Haag 70 60 65 70 265 Howard 75 80 75 80 310 Mm-tagh 70 68 60 65 263 Perry 73 50 60 65 248 Kelly 55 55 60 47 217 Conradi 60 50 60 60 230 Clute 60 55 60 62 237 Cohen 70 60 50 45 225 Total 690 692 714 717 2813 Total 727 660 675 685 2747 1 — March. 2— April 30. 3— May 31. 4r— June 28. OEIGINAL INVESTIGATION 101 TABLE 6 (Continued). Class II. Practised February to June, 1912, Boys 12 3 4 Total Boys Andrews 55 60 70 65 250 Vandevel Friedland 62 65 60 65 252 Smyth HarteU 70 65 62 65 262 MuUady Franklin 78 85 87 87 337 Demarest Dinneen 70 60 60 63 253 Schuler Unpractised 12 3 4 Total 60 78 80 75 293 70 72 60 65 267 65 60 70 68 263 78 75 70 75 298 55 78 75 75 283 Total Girls Rehm Inglis Luft Grodzic Rudolf Schnering Brady Schreiner Lutz 335 335 339 345 1354 Total 328 363 355 358 1404 Bernhardt 72 60 60 65 257 Girls 73 75 70 80 298 Blanc 75 90 90 87 342 82 88 90 87 347 Wunder 84 92 93 90 359 74 92 88 87 341 Geissen 72 72 80 80 304 73 80 80 82 315 Dalessan 70 60 50 60 240 79 82 83 82 326 Hynes 72 55 50 50 227 80 80 82 83 325 Meyer 70 65 60 65 260 70 60 65 65 260 Blumen 70 80 80 80 310 72 76 75 75 298 Dehn 65 50 45 40 200 78 85 85 83 331 Gannon 70 55 50 60 235 681 718 718 724 2841 Total 648 619 598 612 2477 Keane 70 55 50 45 220 TABLE 6 (Continued). Class III. Practised Unpractised February to June, 1912. 1 2 3 4 ' Total Boys 1 2 3 4 '■ Total 75 80 70 80 305 Ruppel 63 72 83 80 298 80 92 85 86 343 Bonomo 70 80 83 80 313 65 70 55 60 250 AUiano 50 70 50 60 230 65 64 50 60 239 BaldelU 75 80 80 80 315 70 80 70 70 290 Cullum 60 80 75 75 290 68 50 65 65 248 Miethke 80 70 65 70 285 423 436 395 421 1675 Total 398 452 436 445 1731 Girls 72 78 79 75 304 Hill 63 60 65 60 248 80 92 85 88 345 Woodbury 80 75 85 85 325 70 80 75 70 295 Sbarra 78 60 70 73 281 80 70 73 75 298 Johnson 75 85 86 85 331 76 70 73 75 294 Gallo 70 74 78 75 297 75 55 50 45 225 Netz 79 85 87 85 336 55 50 55 40 200 Duffy 80 82 70 80 312 508 495 490 468 1961 Total 525 521 541 543 2130 60 60 60 60 240 102 THE DOCTRINE OF FORMAL DISCIPLINE TABLE 6 (Continued). Class I. Practised Unpractised Septeviber to February, 1913. State Boys 12 3 Total Exam. Boys Garratt 75 70 70 215 70 WaUer Rhodius 70 70 87 227 87 Hugger ♦Johnston 65 70 71 206 *71 Weber Hart Wild Walsh 65 60 60 185 Wetjen Lefkowitz 70 61 62 193 62 Riconda Total 280 261 279 820 219 Total Girls Engles *Geffert Schmidt Hamilton Millang 80 75 80 235 79 70 60 73 203 73 83 75 70 228 63 70 50 62 182 85 83 81 249 81 Manwaring 80 75 75 230 Haag Murtagh 65 65 73 203 73 Kelly Clute State 12 3 Total Exam. 50 56 70 176 70 75 63 80 218 80 60 55 62 177 62 70 63 70 203 255 237 282 774 212 80 65 73 218 73 Girls Kolsch McGreevy Krumholz 80 82 90 252 90 70 50 65 185 65 68 45 50 163 75 70 68 213 68 70 65 74 209 74 65 45 50 160 Ilch Savage Kelly, K. *Howard Perry Conradi Cohen Total 463 423 441 1327 369 Total 438 357 396 1191 370 Omit. ORIGINAL INVESTIGATION 103 TABLE 6 (Continued). Clabs II. Practised Unpractised September to February, 1913. State State Boys 1 2 S '. Total Exam. Boys 1 2 3 '. Total Exam. Andrews 70 55 55 180 55 Vandevel Friedland 70 53 63 186 63 Smyth Kartell 65 66 68 199 68 MuUady 70 70 60 200 60 Franklin Demarest Dinneen Schuler 75 62 75 212 75 Bernhardt 70 65 65 200 65 Total 205 174 186 565 186 Total 215 197 200 612 200 Girls Girls Rehm 83 85 87 255 87 Blanc 82 85 90 257 90 Inglis 85 85 80 250 78 Wunder 90 85 97 272 97 Luft 80 77 82 239 82 Geissen 70 80 82 232 82 Grodzic 80 75 75 230 *75 Dalessan 70 50 65 185 *Rudolf 83 80 75 238 *66 Hynes Schnering *Meyer 60 50 60 170 Brady 70 70 70 210 90 Blumen 73 68 88 229 88 *Sclireiner 80 80 75 235 *72 Dehn Lutz 80 65 83 228 *83 Gannon 65 50 40 155 Total 478 457 477 1412 337 Total TABLE 6 (Continued). 450 418 462 1330 357 Class III. i Practised Unpractised September to February, 1913. State State Boys 1 2 S Total Exam. Boys 1 2 3 Total Exam. Duff 75 75 78 228 78 Ruppel 80 83 80 243 78 Archimal 85 90 95 270 95 Bonomo 75 80 75 230 70 Timman AUiano Friedman 65 80 75 220 70 BaldelU 85 90 95 270 95 Cohen 75 80 80 235 80 Cullum 75 80 79 234 78 Steiner 72 65 62 199 Miethke 75 80 81 236 *81 Total 372 390 390 1152 323 Total 390 413 410 1213 321 Girls Girls Hacker 80 75 77 232 77 Hill 70 65 65 200 Busby 82 85 80 247 77 Woodbury 90 89 96 275 96 Brown *Sbarra 78 50 50 178 Duro 80 62 65 207 Johnson 85 85 96 266 96 Weed 75 75 72 222 71 Gallo 70 63 68 201 68 Schulze *Netz 82 85 78 245 *73 George *Duffy 80 63 77 220 *77 Total 317 297 294 908 225 Total 315 302 325 942 260 Morton 65 50 50 165 104 THE DOCTRINE OF FORMAL DISCIPLINE TABLE 6 (Continued). SUMMAKY OF TeRM's RATINGS. NeT ScORES. February to June, 1912. Practised Unpractised Class Boys I 6 1537 1435 II 5 1354 1404 III 6 1675 1731 Total 17 4566 4570 Class Girls I 10 2813 2747 II 9 2841 2477 III 7 1961 2130 Total 26 7615 7354 September to February, 1913. Class Boys I 4 820 774 II 3 565 612 III 5 1152 1213 Total 12 2537 2599 Class Girls I 6 1327 1191 II 6 1412 1330 III 4 908 942 Total 16 3647 3463 State Examinations. Class Boys I 3 219 212 II 3 186 200 III 4 323 321 Total 10 728 733 Class Girls I 5 369 370 II 4 337 357 III 3 225 260 Total 12 931 987 ORIGINAL INVESTIGATION 105 Table VI records the class ratings in biology of the test pupils during the one year of the test. Too much reliabihty must not be placed upon regard- ing these marks as actually showing the degree of intelligence or ability of the pupil in general or in biology in particular. Various other factors besides general ability and intelligence are considered in giving the ratings, some of which are absence, attention, preparation of home-work, ability to recite the lesson, neatness, accuracy, preparation of a note-book, abil- ity to pass an examination, effort, etc. The March rating had been given before the begin- ning of the tests and the April rating was given during the tests. From the computation of the totals of the March ratings, it will be seen that upon the basis of school marks, the unpractised boys are slightly in- ferior to the practised, while the unpractised girls are superior to the practised girls. The April rating shows exactly the reverse to be true. The May mark shows a similar condition to that obtaining in April. In the June rating, the comparative positions are still un- changed, the unpractised boys lead and the practised girls. The summary of the totals of the term's ratings shows the unpractised boys to be superior by four credits while the practised girls are superior by 261 credits. With seventeen boys, the advantage of the unpractised group is only .23 per pupil, while the twenty-six practised girls are superior to the un- practised to the extent of 10.03 per pupil. Thus, it might be said that the boys' practice groups were very evenly divided in ability when based on class ratings. 106 THE DOCTRINE OF FORMAL DISCIPLINE Anti-disciplinarians might also claim that the super- iority of the girls of the practised group might have some influence on their greater improvement, which otherwise might be ascribed to the transfer of practice. The totals of the ratings of the second term's work show the same comparison. The unpractised boys excel their opponents by 62 credits, while the practised girls outrun the unpractised by 184 credits. If this means anything, it points to the better boys being in the unpractised group while the reverse is true with the girls. At the conclusion of the first term's work, one prac- tised and one unpractised boy, and three practised and three unpractised girls failed to be promoted as indicated by the percentages below 60 in the fourth rating. Thus, as regards deficient pupils according to school ratings, both practised and unpractised sides were equal. Of those who were promoted and remained in school during the second term, one practised boy, one prac- tised girl, and four unpractised girls failed to be pro- moted, thus indicating, on the basis of school ratings, that four of the poorest girls were on the unpractised side. At the close of the first term, 94.4% of the 36 boys- in the tests passed the work and were promoted while 88.8% of the 54 girls also advanced a grade. At the close of the second term, 96% of the 25 boys studying biology and who had performed the three series of tests, successfully completed the work, and 87.8% of the 41 girls studying biology and who had also been in all three series of tests, passed on to a higher grade. ORIGINAL INVESTIGATION 107 At the end of a year's work in biology, 24 boys of the original 36 who began the tests, were still in school and promoted to an advanced grade an average of 66.6%. Likewise, 36 girls of the original 54 were promoted, an average of 66.6%. , At the conclusion of the first year's work m biology, a state examination is given by the Regents' Depart-' ment of the University of the State of New York. Of the 52 of the test pupils of all series who took this examination, 98.07%, passed. From a consideration of these percentages and re- membering the statistical data in regard to the great mortality in the first year of the high school, it is evident that if these series of tests cannot be claimed to have profited these pupils it can at least be said that they were not detrimental. Personally, recalling the experiments of Dallenberg, I am inclined to be- lieve them in some degree accountable for the very satisfactory showing in the state examination. Comparing the state examination ratings of the 10 pairs of boys and 12 pairs of girls, we find that the unpractised boys exceed the practised by an average of .5% per pupil while the unpractised girls exceed the practised by an average of 4.6% per pupil. _ Thus again, the unpractised boys show superior ability ac- cording to examination ratings; as do also the unprac- tised girls, contrary to former comparisons. As only the better pupils entered the state examination and only 44 of the original 86 test pupils are compared, it would be unwise to emphasize this comparison of the practised and unpractised groups. 108 THE DOCTRINE OF FORMAL DISCIPLINE TABLE 7. Computed from Tables I and V. Number of tests improred in Number of tests decreased in Tests omitted Number of pupils in tests Biol. Non-Biol. Same Same Ser. Ser. Ser. Ser. Ser. Ser. Ser. Ser. Ser. Ser. Ser. Ser. II I & Ill I & II Ill II Ill II Ill II III II III Practised Boys' Class 1 49 3 26 3 6 7 7 4 1 6 4 2 32 7 13 2 9 7 6 7 1 1 5 2 *3 43 5 32 4 1 2 21 12 7 7 6 Totals 124 15 171 9 16 16 34 23 9 1 18 12 Girls' 1 57 9 39 5 6 8 20 17 18 1 10 7 2 55 11 47 5 13 9 16 15 4 4 9 8 t3 42 9 29 3 7 4 8 11 11 3 7 5 Totals 154 29 115 13 26 21 44 43 33 8 26 20 Unpractised Boys' Class 1 37 8 17 3 12 9 7 10 2 1 6 4 2 35 2 10 1 4 2 12 4 2 3 5 2 *3 39 8 37 6 7 5 15 12 8 7 6 Totals 111 18 64 10 23 16 34 26 12 4 18 12 Girls' 1 50 6 41 4 17 10 23 15 14 10 7 2 52 8 42 3 15 13 18 19 6 3 9 8 3 36 7 24 4 10 6 12 13 12 3 7 5 Totals 138 21 107 11 42 29 53 47 32 6 26 20 * Bernhardt and Jaegers counted with Class 3. t Morton counted in Ser. III. ORIGINAL INVESTIGATION 109 Table 7 was computed from Table 1, comparing the practised 18 boys and 26 girls with a similar number of unpractised in Series 1 and 11 and the practised 12 boys and 20 girls with a similar number of unprac- tised in Series I and III. In every class for both boys and girls, the totals ot the number of tests which remained the same and in which improvement was made in Series 11 is greater for the practised pupils. In Series 111, the totals of the tests which remained the same as in Series I and in which an improvement was made is greater for the unpractised in two of the six cases, the boys of class 3 and the girls of class 1. j • » In Series II, the unpractised boys decreased m 7 more biological tests than the practised and in the same number of non-biological; whereas the unprac- tised girls decreased in 16 more biological and 9 more non-biological than the practised girls. In Series III, both practised and unpractised boys decreased in the same number of biological tests while the unpractised boys decreased in 3 more non-bio- logical tests. The unpractised girls decreased m 8 more biological and 4 more non-biological than their practised opponents. Three more tests were omitted by the unpractised boys in both Series II and III, while the unpractised gu-ls omitted one less in the biological and 2 less m the non-biological than their corresponding practised neigh- bors. The conclusions to be drawn from this table are necessarily similar to those presented heretofore. Throughout the advantage is with the practised group. 110 THE DOCTRINE OF FORMAL DISCIPLINE SUMMARY OF ALL TABLES OF COMPARISON OF SERIES I AND II Practised Unpractised BOYS Table Ser. II Av. Biol. Av. Non B Av. Ser. 11 Av. Biol. Av. NonB Av. II 1342.80 7.18 399.88 2.13 III 685.77 8.06 915.65 8.97 257.70 3.03 548.40 5.37 IV 744 4.3 524 3.02 V Ser. I 23.17 VI 4 .23 VII Increase 124 Deer. 16 Deer. 34 111 Deer. 23 Deer. 34 GIRLS II III 1436.98 5.22 802.34 6.41 930.68 6.2 86.45 .31 Deer. 155.21 Deer. 1.24 840.72 IV 897 3.72 296 1.22 V VI 261 10.03 Ser. I 40.09 VII Increase 154 Deer. 26 Deer. 44 138 Deer. 42 Deer. 53 5.6 CONCLUSIONS. Combining the results and conclusions noted in the seven tables with their several sub-divisions, some con- clusion may be reached in regard to the object of our search — the transfer of special practice in biological material to non-biological. In the summary of all the tables, we see from Table 2, that the average gain per test of the practised boy in the 11 tests is 7.18 while that of the unpractised boy is 2.13; the average gain per test of the practised girl is 5.22, that of the unpractised girl only .31 per test. Table 3 shows that in the biological tests, the average gain of each practised boy was 8.06 per test for the 5 tests while the unpractised showed a gain of 3.03. The practised girls averaged 6.41 gain per test, while the unpractised lost 1.24 per test. In the non- biological, the practised girls gained 6.2 per test for the 6 tests while the unpractised gained 5.6; the prac- tised boys gained 8.97 per test and the unpractised boys gained only 5.37 per test. In Table 4, based on the original ratings, the prac- tised boy gained 4.3 per test to the unpractised's gain of 3.02; while the practised girls exhibited a gain of 3.72 to the unpractised girls' gain of 1.22. Table 5 shows that at the end of Series 1, when the class had been divided into practice groups, the group of unpractised boys had a total score 23.17 higher than the practised, while the unpractised girls had a total of 40.09 higher than their opponents. Table 6 gives the ratings of the pupils in their biological class-work and shows the unpractised boys 111 112 THE DOCTRINE OF FORMAL DISCIPLINE to excel the other group by an average of .23, while the practised girls surpass their fellow competitors by 10.03 per pupil. Table 7 shows that the practised boys gained in 13 more tests and the practised girls in 16 more tests than their opponents. The practice boys lost in 7 fewer biological tests and the girls in 16 fewer biological tests than the unpractised side; while the practised and the unpractised boys lost in the same number of non-biological tests but the practised girls in 9 fewer than the opposite side. It is evident from these general summaries and com- parisons that the practised pupils have done better in the second and third series than the unpractised. The question difficult to solve is: ''What is the cause?" No doubt growth, familiarity with procedure, benefits of class-work and study, and desire to excel, have all contributed their share toward the gain, but these fac- tors may have aided both sides equally. We have no means of telling. Then why the difference? Judging from the division of the practice groups, the better pupils in these tests were on the unpractised side. While the class term marks showed the better boys to be on the unpractised side, the contrary was true as far as the girls were concerned. The March rating showed the reverse condition of affairs. Very little significance can be attached to class marks as denoting general intelligence or superiority, because so many extraneous factors enter in. Considering Table 3, we would naturally expect both practised boys and girls to earn in the second series a bigger gain than their opponents in the bio- logical tests; but how shall we explain their greater efficiency in the non-biological tests, other than to ascribe it to the effects of the practice series? CONCLUSIONS 113 Feeling that the balance of arguments and scientific proofs were against formal discipline when this investi- gation was begun, I am forced by the results obtained to admit that in this experiment, the proof seems to be on the affirmative side. A valuable lesson, I think, can be drawn from one phase of this investigation. By consulting the tables and summaries, it will be seen that sometimes one division does not fall in line with the general trend, but that a larger number outweighs the negative and shows positive results. This would warn us against drawing conclusions from experimentation with too few sub- jects, as has been done in several of the investigations cited in the historical part. As can be seen by the averages per test of Tables 2 and 4 the boys have done better than the girls, although the curves of the practice series seem to indicate that the girls are superior in that series. This may be ascribed to the boys' general lack of intensive applica- tion to uninteresting or monotonous work but it is likely that greater effort was put into the shorter tests of the three series. COMPARISON OF RESULTS WITH THOSE OF PEDAGOGICAL EXPERIMENTS. Winch found that boys of the same age and standard were slightly superior to girls in immediate visual memory. As many of the tests of this experiment were of a similar type to those of Winch, it may be stated that this investigation supports Winch's con- clusion. Winch found in his experiments on memory that a steady improvement was shown in both the practised 114 THE DOCTRINE OF FORMAL DISCIPLINE and unpractised groups but that the practised group was superior. This conforms exactly to my conclu- sions. In his experiments on the ''transfer of numerical accuracy" he found in some of the series that the lower practised side after practice reversed positions with the higher unpractised. This investigation gives the same results. Wallin in his spelling tests found that his "data furnished conclusive evidence in favor of transfer." Starch found from 20 to 40 per cent, more improve- ment in the practised observers in arithmetical opera- tions; and ascribes it to "identical elements"; as did Thorndike and Woodworth in their investigations. Ruediger found evidences of transfer in his tests on ideals and ascribed it to "identity of aims." In our own investigation there are certainly conclu- sive evidences of transfer. The improvement in the biological material can be ascribed to "identical ele- ments," but the "identity of aim" and "identity of procedure" and "identical elements" were common equally to both sides, except for the advantage for the practised in the biological tests. The greater in- crease of the practised must be ascribed to some in- tangible psychological effects of practice. Thus a few more data have been added to the big problem of the High School and along slightly different lines from those along which experimental tests have been attempted heretofore. BIBLIOGRAPHY 1. Aiken, C. Method of Mind Training. N. Y., 1896. 2. Angell, Pillsbury, and Judd. The Doctrine of Formal Discipline in the Light of the Principles of General Psychology. Ed. Rev., June, 1908; 36, pp. 1-42. 3. Bagley, W. C. Educational Values. N. Y., 1911. 4. Bagley, W. C. Ideals versus Generalized Habits. School and Home Ed., 1904, pp. 102-106. 5. Bagley, W. C. The Psychology of School Practice. Psych. Bull., March, 1909, 6, pp. 78-83. 6. Bennett, C. J. C. Formal Discipline. Teachers College, 1907. 7. Bergstr'om, J. A. The Relation of the Interference to the Practice Effect of an Association. Amer. Journ. of Psych., 6, 1893-94, pp. 433-442. 8. Bolton, F. E. Facts and Fictions Concerning Ed. Values. School Review, 1904, pp. 170-188. 9. Briggs, T. H. Formal English Grammar as a Discipline. Teachers College, 1913, XIV, 4, pp. 1-93. 10. Burt, Cyril. Experimental Investigation of Formal Training. School Hygiene, February, 1912, pp. 44-51. 11. Collins, J. V. Mathematics and the Doctrine of Formal Discipline. School Rev., 1906, pp. 604-608. 12. CoovER, J. E., and Frank Angell. General Practice Effect of Special Exercise. Amer. Journ. of Psych., 18, 1907, pp. 328-340. 13. Dallenbach, K. M. The Effect of Practice upon Visual Appre- hension in School Children. Ed. Psych., V. 6, June, 1914, pp. 321-334; Ed. Psych. V, 7, September, 1914, pp. 387- 404. 14. Davis, W. W. Accuracy of Voluntary Effort. Yale Psych. Studies VI, pp. 7-50. 15. Dearborn, W. F. Experiments in Learning. Jour, of Ed. Psych. 1, 1910, pp. 373-388. 16. De Garmo, C. Report of Committee of Ten. Ed. Rev. VII, 1894, pp. 277-280. 17. Delabarre, E. B. Formal Discipline and the Doctrine of Common Elements. Education, May, 1909, pp. 585-600. 115 116 THE DOCTRINE OF FORMAL DISCIPLINE 18. Foster, W. S. The Effect of Practice upon Visualizing and upon the Reproduction of Visual Impressions. Ed. Psych. 11, 1; January, 1911, pp. 11-22. 19. Fracker, G. C. On the Transference of Training in Memory. Psych. Rev. Monog. Suppl. 9, 2, 1908, pp. 56-102. 20. Heck, W. H. Mental Discipline and Ed. Values. 2d ed., N. Y., 1911. 21. Henderson, E. N. Formal Discipline from the Standpoint of Analytic and Experimental Psych. Education, May, 1909, pp. 601-613. 22. Hinsdale, B. A. The Dogma of Formal Disciplme. Ed. Rev. 8, 1894, pp. 128-142. A^. E. A., 1894. 23. Horne, H. H. Practical Influence of the New Views of Formal Discipline. Education, Maj', 1909, pp. 614r-623. 24. Hugh, D. D. Formal Education from the Standpoint of Physio- logical Psychology. Ped. Sem. 5, 1898; pp. 599-605. 25. James, W. Prin. of Psych. 1, pp. 667-668. 26. Jansen, Margarethe. Ueber den Einfluss der Uehung eines Spezial- geddchtnisses auj Allgemeingeddchtnes. Zurich, 1906. 27. Jabtrow. Psychological notes upon Sleight of Hand Experts. Science, May 8, 1896. 28. JtTDD, C. H. On Scientific Study of High School Problems. School Review, 1910, pp. 84-98. 29. Kline and Owens. Prehminary Report of a Study in the Learning Process Involving Feeling Tone, Transference, and Inter- ference. Psych. Rev.20, 1913, pp. 206-244. 30. Lewis, F. C. A Study in Formal Discipline. School Review, April, 1905, pp. 281-292. 31. Locke, L. L. Inspector Winch's Exp. on Transfer. Journ. of Ed. Psych. 2, 1911, pp. 94r-95. 32. Meiklejohn, A. Is Mental Training a Myth? Ed. Rev., February, 1908, 37, pp. 126-141. 33. Mettmann, E. The Psychology of Learning. Chap. III. N. Y., 1913. 34. Monroe, P. A Text-hook in the History of Education. Chap. IX. N. Y., 1905, 1^1 35. MtJNSTERBERG — " Gedachtnisstudien." Beitrdge zur experimentellen Psychologic. Theil 1, Heft 4, 1892. 36. NoRSWORTHY, N. Formal Training. N. Y. Teachers' Monographs, Vol. 4, no. 4. ^.37. Raif, O. Ueber Fingerfertigkeit beim Clavierspiel. Z. F. Psych. XXIV, 1900, 35. BIBLIOGRAPHY 117 38. RiETZ AND Shade. Correlation of Efficiency in Mathematics and Efficiency in Other Subjects. Univ. of III. Univ. Studies, Vol. Ill, 1, November, 1908. 39. RowE, S. H. Habit Formation and the Science of Teaching, 1910. 40. RuEDiGER, W. C. The Indirect Improvement of Mental Functions Ttirough Ideals. Ed. Rev. 36, 1908, pp. 364-371. 41. RuQER, H. A. The Psychology of Efficiency. Archives of Paych. No. 15, June, 1910. Columbia Contributions to Phil, and Psych., XIX, 2. 42. Seashore, C. E., and Jenner, E. A. Training the Voice by the Aid of Eye in Smging. Journ. of Ed. Psych. 1, 1910, pp. 311- 320. 43. Seashore, C. E. Effect of Practice on Normal Illusions. Psych. Rev. and Monog. Suppl. 9, 1908, pp. 103-148. 44. Scripture, E. W. Cross-Education. Pop. So. Monthly, 56, pp. 589-596. 45. Scripture, E. W., Smith and Brown. On the Education of Mus- cular Control and Power. Yale Psych. Stud. II, 1894, 114-119. 46. Sleight, W. G. Memory Training. Is It General or Specific? Journ. of Exp. Ped., March, 1911, pp. 51-54. 47. Sleight, W. G. Memory and Formal Training. British Journal of Psych. December, 1911, pp. 38&-457. 48. Spearman, C. Quahfied and UnquaUfied "Formal Training." Journ. of Exp. Ped. II, 4, March, 1914, pp. 247-254. 49. Starch, D. Transfer of Training in Arithmetical Operations. Ed. Psych. VI, 6, June, 1911, 306-310. 50. Starch, D. A Demonstration of the Trial and Error Method of Learning. Psych. Bidl, January, 1910, VII, 20-23. 51. Stone, C. W. Arithmetical Abihties. Columbia Univ. Contributions to Ed., Teachers' Col. Series No. 19, 1908. 52. Swift, E. J. Mind in the Making. N. Y., 1909, Chap. VI. 53. Thorndike, E. L., and Woodworth, R. S. Improvement in Mental Functions. Psych. Rev. VIII, pp. 247-261; 384-395; 553- 564. 54. Thorndike, E. L. Educational Psychology, Chap. VIII, 1st ed., N. Y., 1903; and 2d ed. N. Y., 1910. 55. Thorndike, E. L. Psychology of Learning, Vol. II of Ed. Psych., 1913, N. Y., Chap. XII. 56. Urbantschitsch — Pflii. Arch. Bd. 42. 57. Wardlaw, p. Is Mental Training a Myth? Ed. Rev. 35, 1908, 22-32. 118 THE DOCTRINE OF FORMAL DISCIPLINE 58. Wallin, J. E. W. Optical Illusions of Reversible Perspective, 1905, pp. 264-286. 59. Wallin, J. E. W. Spelling Efficiency, 1911, Chap. IV. 60. Wallin, J. E. W. The Doctrine of Formal Discipline. Journ. of Ed. Psych. 1, 168-171. 61. Whipple, G. M. 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GRADUATES OF THE HIGH SCHOOL Class I — Boys Practised Unpractised Garratt Weber * Rhodius Class I — Girls Wetjen Riconda * Engels Manwaring Class II — Boys * ICrumholz Ilch * Howard Friedland * Schuler HarteU t Franklin Class II — Girls *Rehm * Blanc * Inglis * Wunder *Luft * Geissen Rudolf Blumen * Schreiner *Lutz Class III— Boys Archireal Ruppel * Cohen Class III — Girls * BaldelU Cullum Miethke * Hacker * Woodbury * Busby Duffy Duro * Graduated Jan., 1916. t Graduated June, 1915. Others graduated in June, 1916. 119 120 THE DOCTRINE OF FORMAL DISCIPLINE Participants in Tests Graduates 34 boys 15 boys 44% 50 girls 20 girls 40% Practised Unpractised Boys graduated in Jan., 1916 2 2 Boys graduated in June, 1916 4 6 Boy graduated in June, 1915 1 Totals 7 8 Girls graduated in Jan., 1916 8 6 Girls graduated in June, 1916 3 3 Totals 11 9 The commencement program furnished the Hst of January and June graduates. Of the original 84 pupils in the tests, 35 have gradu- ated; 40% of the girls and 44% of the boys. It is interesting to note that 18 were in the practised group and 17 in the unpractised, thus showing that on the basis of graduation, the groups were nearly evenly divided. Of the 7 graduates among the practised boys, 1 graduated from the four-year general course in 33^ years, and of the 8 graduates among the unpractised, 1 graduated from the three-year co-operative course in 4 years; thus indicating a still more even division of the two groups. Of the 9 graduates among the unpractised girls 1 graduated from the three-year household arts course in 4 four years. It would appear, that as far as gradu- ation is concerned, the better girls were in the prac- tised group. These general deductions fall in line with inferences made heretofore. It would be futile, however, in this connection to attempt to draw any conclusions in regard to the main object of this monograph. 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