I '■'•■' Class JL, ¥S £> Book.__iI_ (bpyiigfit^ .. CJ3EYRIGHI DEPOSE THE PSYCHOLOGY OF DRAWING The Psychology of Drawing With Special Reference to Laboratory Teaching Fred Carleton Ater Professor of Education, University of Oregon BALTIMORE : WARWICK & YORK, INC. 1916 27 ■ COPYRIGHT 1916, BY WARWICK & YORK, INC. JUL 17 1916 2CI.A445545 THE PSYCHOLOGY OF DRAWING PREFACE This book represents the results of a study of drawing as a device in laboratory teaching which has included a survey of the existing literature of the psychology of drawing. An attempt has been made to characterize the chief contributions to the psychology of drawing and to organize the results of the important studies in such a manner as to afford students of the various aesthetic, economic, and scientific aspects of drawing a scientific point of departure. It is with great pleasure that I indicate here my sincere appreciation for the assistance which I have received from teachers, friends, and students. Among many deserving ones I wish to mention in particular the names of Dr. Otis W. Caldwell, Professor of the Teaching of Botany; Walter Sar- gent, Professor of Education in Relation to Fine and Industrial Arts; and Dr. Charles H. Judd, Professor and Director of the School of Education of the University of Chicago. Professor Cald- well has given me great practical assistance in the setting and investigation of the laboratory prob- vi PREFACE lem involved and has been of unfailing help and encouragement throughout the study. I am a heavy debtor to Professor Sargent for numerous critical suggestions in the analysis of drawing and hearty co-operation in a number of experiments. Especial acknowledgment is cheerfully rendered to Professor Judd whose keen criticism of the con- tent and form of this production has removed many errors and contributed greatly to its merit. Fred Carleton Ayer. University of Oregon, September 15, 191 5. CONTENTS PART I. THE SCOPE OF THE PROBLEM Chapter I. The Problem Page I. Introduction I II. The General and Specific Problems 2 1. Analytical Observation 2 2. Laboratory Records 2 3. Retention 3 III. Definitions 4 1. Analytical Observation 5 2. Representative Drawing 6 3. Analytical Drawing 6 4. Memory Drawing 8 5. Spontaneous Drawing 8 6. Schema 8 IV. General Procedure 9 1. Correlation 9 2. Memory Tests 10 3. Introspection 10 4. General and Special Ability 10 5. The Effect of Analytical Seeing upon Draw- ing 11 PART II. SURVEY OF THE LITERATURE OF DRAWING. Chapter II. The Methods of Research and Biblio- graphical Survey The Methods of Research 15 I. The Gross Products Method 16 II. The Special Products Method 18 III. The Comparative Products Method 33 IV. The Biographical Method 36 V. The Experimental Method 39 vii viii THE PSYCHOLOGY OF DRAWING Page Chapter III. Studies in the Relation of Drawing the Intellectual Development I. Industrial versus Cultural Values 49 II. Scientific Values 55 III. Relation of Drawing to Special and General Apti- tudes 58 Chapter IV. Studies in the Analysis of the Draw- ing Product I. Gross Products 67 II. Stages in the Development of Drawing 73 III. Drawing as a Form of Language 79 Chapter V. Studies in the Analysis of the Draw- ing Act I. Analysis of the Act of Drawing (Albien) 87 II. Perceptual Development (Judd and Cowling).. . . 91 III. Drawing Types (Albien) 92 IV. Difficulties of Drawing (Meumann) 97 V. Types of Retention (Meumann) 100 PART III. EXPERIMENTS AND CONCLUSIONS. Chapter VI. The Experiments I. Representative Drawing, Description, and Dia- grammatic Drawing 107 1. Problem 107 2. Method of Procedure 107 3. Methods of Scoring 114 4. Method of Determining Correlation 121 (1) Correlation by the Rank Method. . . 122 (2) Theory of Correlation 126 5. Results and Conclusions 129 II. Drawing and School Grades 136 1. Problem 136 2. Materials 136 CONTENTS ix Page 3. Method of Procedure 136 4. Results 137 5. Special Observations 139 6. Conclusion 140 III. Retention and the Devices Used to Secure It 141 1. Problem 141 2. Method of Procedure, Test No. 1 141 3. Method of Scoring 142 4. Results of Test No. 1 142 5. Conclusion 144 6. Method of Procedure, Test No. 2 144 7. Results of Test No. 2 148 8. Conclusion 150 IV. Analysis 'of Observation during Representative Drawing and Description 151 1. Problem 151 2. Method of Procedure 151 3. Analysis of Description and Drawing 152 V. The Effect of Analytical Observation upon Draw- ing 154 1. Problem 154 2. Method of Procedure 154 3. Results 155 4. Conclusion 156 Chapter VII. Final Conclusions I. The Psychological Analysis of Drawing 157 1. The Preconceived Purpose 157 2. The Ability to See 158 3. Ability to Represent 158 II. Adaptation of Laboratory Teaching 160 III. Analytical Observation 162 IV. Laboratory Records 165 V. Retention 166 VI. Recommendations 167 Bibliography 169 PART I THE SCOPE OF THE PROBLEM THE PSYCHOLOGY OF DRAWING WITH SPECIAL REFERENCE TO LABORATORY TEACHING Chapter I THE PROBLEM /. Introduction. The laboratory method has come to be prac- tically universal in the teaching of science. The process of drawing is everywhere esteemed as a most significant form of laboratory methodology. To some degree in the physical sciences, but more especially in the biological sciences, the amount of time devoted to making pen and pencil drawings is a major part of the laboratory procedure. Many pupils encounter great difficulty in making the required drawings. They either make poor draw- ings or consume a disproportionate amount of time in the effort to make good ones. Because of this, many receive low grades, are discouraged, and discontinue their work in the field of science. The widespread use of a teaching device which consumes extended periods of time in all cases, and fails to meet the needs of individual pupils in many cases, raises an important problem. 2 THE PSYCHOLOGY OF DRAWING II. The General and Specific Problems. Laboratory work brings the pupil into first-hand contact with the objective material with which its particular science is concerned. The chief end of laboratory work is to insure a better under- standing and a more permanent retention of the material concerned. Omitting personal demon- stration and instruction, laboratory procedure involves the following factors: i. Analytical Observation. The pupil is given oral or written directions of procedure which aim to direct his attention to the material in such a way that he will master it. Three special devices are used to promote analytical observation. (a) Representative Drawing. The student is asked to reproduce the object in an imitative drawing. "Lay the locust on its back. Make a careful drawing, lateral view." (b) Description. The student is asked to describe what he observes. "What is the shape of the head?"' (c) Analytical Drawing. The pupil is asked to explain in a schematic drawing some par- ticular aspect of the object. "Make a dia- grammatic drawing of the lily, showing the relative position of the pistil, stamens, petals, and sepals." 2. Laboratory Records. A second factor of laboratory procedure is the laboratory record. THE PROBLEM 3 The pupil is asked to keep a graphic record of his work which permits his instructor to measure his progress. The record consists of one or more of the following graphic products: (a) Representative drawings. (b) Descriptions. (c) Analytical drawings. 3. Retention. A third factor of laboratory pro- cedure is concerned with subsequent recall. The results of laboratory work are fixed in memory according to the success of the analytical observa- tion and the reinforcement given by the making of records. In a word, laboratory work has three aims: the observation of material, the making of records, and the retention of learning. It furthers these aims by three devices: representative drawing, description, and analytical drawing. Our general problem is to determine the character of the various interrelations of the factors which enter into labora- tory procedure. Current practice varies as to the method of securing analytical observation and recording results. Most instructors give as few specific directions as practicable so that the student may exercise the maximum of initiative. The process of descriptive explanation or that of drawing is supposed to focus the attention upon the salient characteristics of the object or organism. Many 4 THE PSYCHOLOGY OF DRAWING teachers, as we shall show presently, believe that this is one of the particular values of representative drawing. Similarly, in the recording of results, description and drawing are used more or less interchangeably, varying according to the labora- tory manual used. Drawing almost always has an important place in the records and in some cases is used exclusively. Our special problem is the psychological analysis of laboratory drawing. Does drawing secure analytical observation? Is drawing a reliable record of the pupil's work? Does drawing promote the most desirable reten- tion? If the process of drawing fails in any or all of these respects, it follows directly that a very conspicuous amount of present-day laboratory methodology is founded upon fallacious principles and is in need of radical readjustment. That such is the case is the conclusion of this thesis, and it is hoped that the facts emphasized by the analysis of previous investigations and the results of the present experiments will lead to a better under- standing of the psychological principles involved in drawing as well as materially improve present- day methods of laboratory teaching. III. Definitions. At this point it will be well to define several terms which appear frequently in the pages to follow. An early understanding of these expres- THE PROBLEM 5 sions will aid materially in following the thread of the succeeding discourse. i. Analytical Observation. Every material ob- ject or process has a number of characteristics which may be grasped in consciousness with suf- ficient clearness to afford a basis for comparison and analysis. A locust's hind legs are longer than his fore legs; a pendulum swings repeatedly in the same period of time. Certain character- istics, such as the lengths of the locust's legs, are noticed because of difference; other charac- teristics, such as the successive swings of the pendulum, are compared on the basis of similar- ity. In either case the observer notices the sep- arate items as such first and makes the compar- ison afterward. "The perception of sequence aids us in the perception of difference." What an individual sees in an object depends upon the knowledge he brings to it. But it is important to note that it depends upon much more than that. The detail of observation is determined by its immediate purpose. If we study an insect with the preconceived purpose of painting it, immediately we begin to compare items of color and form. The entire analysis is concerned with these things and no other. On the other hand, if we approach the insect with the preconceived purpose of discovering how injurious it may be to the crops, at once we attend 6 THE PSYCHOLOGY OF DRAWING to the comparative structure of the insect's mouth- parts, its egg-laying apparatus, or similar ana- tomical features. It is obvious that the items of analysis must be related to the problem of the particular moment. This is a matter of great pedagogical importance to laboratory teaching, because there are innumerable characteristics attaching to any object or process which are not of scientific importance. The analysis must in- volve scientific comparisons and not those of aesthetic, moral, or other interest. Our particular interest, then, in "analytical observation" is the interest of science, and as such we shall use the expression herein. The method of its attainment is one of our major problems. 2. Representative Drawing. A drawing is "repre- sentative" which reproduces as accurately as possible the exact appearance of an object. The product is a visual imitation of the original. Representative drawing may refer either to the process or to the product. j. Analytical Drawing. When imitation is not the chief end, representation in drawing may be modified in various ways. This begins with the omission of certain details of surface appearance. A drawing of a chair does not show the grain of the wood. Omission continues until the mere outline of the object completes the representation. THE PROBLEM 7 Whatever is shown is emphasized at the expense of the characteristics left out. The actual appearance of the object is altered in a second type of modification. This is well shown in the illustrations of our elementary physi- ologies, where the structures are greatly simplified in the drawings, as, for example, the cross section of the thorax. A third type transcends the limits of perspective and opacity. The drawing shows more than the eye can actually see. The same drawing, for example, shows the shoe, the foot, and the bones of the foot. This is sometimes called logical realism as distinguished from the visual realism of representative drawing. A fourth modification of the representative drawing is the type or symbolic drawing. This drawing portrays the characteristic features only, which a number of objects have in common. It is generic rather than specific. The type drawing of a bird, for example, is not an imitation of an actual bird, but exhibits such features as feathers, beak, wings, etc., which all birds have in common. The perfect type drawing shows all of the common features of the group represented. As its symbol- ism becomes more and more pronounced, it loses in visual representation until but one pronounced characteristic may mark the type, as when a single feather stands for bird. 8 THE PSYCHOLOGY OF DRAWING It must not be supposed that these four primary modifications of drawing are entirely distinct from one another. As a matter of fact, they are closely interrelated. In practice the schematic drawing is ordinarily a blend of two or more of the typical modifications. But whatever the form of the modified drawing, a preliminary compari- son and analysis of the characteristics which are to be emphasized in the drawing is necessary. The analysis may result in no more than the simple diagram of the hand, or it may lead to the synthesis necessary to construct a drawing which shows the basic floral plan of the entire rose fam- ily. In any case the resultant drawing is an indi- cation of preliminary analysis and gives rise to the name "analytical drawing," which we have chosen and will use in this sense. 4. Memory Drawing. This expression refers to drawings of objects or scenes from the memory of one or more previous views. 5. Spontaneous Drawing. A drawing which is made voluntarily by a child from memory or the imagination without previous suggestion of a subject. 6. Schema. This term refers to any typical drawing which is used repeatedly to represent the same class of objects. A circle, for example, with two straight lines attached below is frequently the child's first "schema" for a man. At the THE PROBLEM 9 other end of the scale is the mass of detailed schemata which the professional drawer ordinarily has at his command, enabling him to make an instant memory drawing of practically any com- mon form. IV. General Procedure. My attention was called to the problem involved in the use of drawings for analytical and repre- sentative purposes while directing the laboratory drawing of various students in biology classes. The frequently observed variations in drawing ability among students otherwise similarly gifted, and the difficulties with drawing experienced by certain pupils who were excellent in grasping scien- tific principles, led me to set the definite problem of measuring the correlation between drawing and the study of science. In this I have utilized the following general procedure. (For details and results of these tests, see later chapters.) 1. Correlation. Four groups of subjects were carefully tested with unfamiliar objects as to their abilities in drawing, description, and diagramming. The members of each group were then ranked serially in the order of the merit of their produc- tions by a group of judges. The amount of cor- relation existing between any two abilities, such as drawing and description, was then established by the use of a correlation formula. The four groups of subjects follow. io THE PSYCHOLOGY OF DRAWING (a) 51 high school students of the University of Chicago High School, examined in 19 12. (b) 48 graduate students in the School of Education, University of Chicago, examined in 1912. (c) 50 college students of the University of Oregon, examined in 191 3. (d) 61 college students of the University of Oregon, examined in 1913. 2. Memory Tests. After the students in groups (a), (c), and (d), above, had drawn and described various objects, they were examined as to their memory of the various details. Comparison between the effects of the two processes was then made, either by the process of serial correlation or on a percentage-of -error basis. 3. Introspection. Immediately after drawing and describing an object, group (b), above, made an introspective analysis of the two processes involved. This has been supplemented by numer- ous tests of individuals of a similar nature since 1912. 4. General and Special Ability. In 191 3 I made an investigation of the correlation between ability in drawing and aptitude in other school subjects on the basis of school grades. In this I compared the grades of the 51 University High School stu- dents with their ranking in drawing as discovered in the special tests. In addition I compared the THE PROBLEM II grades received in drawing by 141 normal school students with the grades received in all other subjects. 5. The Effect of Analytical Seeing upon Draw- ing. In 191 2 I made an experimental study with 16 subjects who were students in the University of Chicago School of Education. Eight of the subjects were directed to consider the compari- son between the size of the beak and of the foot of a bird. The other eight were directed to study the details of the bird's foot. The entire group was then directed to make an accurate repre- sentative drawing of the bird, which was placed in full view of all. Comparative measurements were then made of the individual drawings. In addition to these original tests I have had children of various ages and a number of adults make drawings to exemplify the results of a num- ber of the experiments listed in the following survey. PART II SURVEY OF THE LITERATURE OF DRAWING Chapter II THE METHODS OF RESEARCH AND BIB- LIOGRAPHICAL SURVEY The methods of research which have been employed in the analysis of the activity and re- sults of drawing may be divided into two general groups — the objective and the subjective. The objective methods are typical of investigations which have been chiefly concerned with the study of the products of drawing. The subjective meth- ods are typical of the researches which have in- quired more specifically into the mental or formal phenomena which accompany the process of draw- ing. It is profitable for purposes of analysis to subdivide the objective and subjective methods into a number of subordinate types which are characteristic of the various studies of the psychol- ogy of drawing up to the present time. Objective Methods i. Gross Products Method. In which the inves- tigation has to do with relatively indiscriminate collection of large numbers of drawings. 2. Special Products Method. In which the study is concerned with the collection of drawings related to some specific theme, such as the illus- trations of a given story. 15 16 THE PSYCHOLOGY OF DRAWING 3. Comparative Products Method. In which the drawings of one typical group of individuals are compared to the drawings of a second, as the drawings of children with those of savages. Subjective Methods 4. Biographical Method. In which drawings of the same individuals are collected in a series cover- ing an extended period of time and accompanied by records of the subjective behavior. 5. Experimental Method. In which the act or process of drawing is analyzed by a relatively definitely controlled experiment. The five types of research indicated above will be treated in greater detail in the following sum- mary of methods and related bibliography. I. The Gross Products Method. 1 This method involves the gathering of a great mass of objective material in the way of drawings collected by parents or teachers who are not familiar with accurate psychological procedure. The drawings are analyzed with reference to whate\er common facts may appear. The gross products method has a serious disadvantage in 1 Compare "die statistische Methode" of Ruttmann (87) and "la methode de collectionnement " of Rouma (86). (Figures in parentheses refer to the number of the citation as listed in the bibliography at the close of this work.) THE METHODS OF RESEARCH 17 that the more essential conditions and circum- stances attendant upon the individual drawing are not known to the interpreter of the accumulated results. This results in generalizations upon seeming similarities which are in reality due to different causes. There are also dangers due to the effects of influence unknown to the collector, such as advice from the parent or imitation of other drawings. Investigations of this type were very popular in the United States during the last decade of the nineteenth century and, while open to criticism, have paved the way for more accurate conclu- sions as the conditions of the drawing have been determined with greater precision. From the historical point of view, one of the most important studies of this type is that made by Carrado Ricci 1 of Bologne, Italy. His work created widespread interest in children's draw- ings and has been widely quoted by subsequent writers. Ricci's material included 100 drawings by children of his friends, 1000 drawings made in the common schools of Bologne, and 250 drawings from the schools of Modene, together with the modelings in clay by 20 children. Ricci's work discusses a number of phases of drawing which have been studied in detail by subsequent investi- 1 Ricci, L'Art dei Bambini, 1887. (See bibliography for complete titles.) 18 ] THE PSYCHOLOGY OF DRAWING gators, such as stages in the evolution of drawing, the child's sense of beauty, the development of the sense of color, and the art of primitive races. Other studies of this type are those of Hall 1 , O'Shea, 2 Maitland, 3 Lukens, 4 and Barnes. 5 Hall interpreted a number of drawings of children as indicative of their early thinking. O'Shea made a study of the drawings of a number of Wisconsin school children from 5 to 17 years of age. Mrs. Maitland made an analysis of 1570 drawings of California children from 5 to 17 years. Lukens studied the drawings of 1232 attempts at repre- sentation by children under 10 years. Barnes interpreted 700 papers by girls in London Board Schools writing under the direction: "Describe the prettiest thing you have ever seen, and say why you thought it pretty." II. The Special Products Method. 6 With the establishment of more definite condi- tions as to the incentive for drawing and the com- 1 Hall, Contents of Children's Minds on Entering School, 1892. 2 O'Shea, Children's Expression through Drawing, 1894. 3 Maitland, What Children Draw to Please Themselves, 1895. 4 Lukens, A Study of Children's Drawings in the Early Years, 1896. 5 Barnes, The Prettiest Thing, 1902. 6 Compare "die monographische Methode" of Ruttmann and "la methode des enqueues" of Rouma. THE METHODS OF RESEARCH 19 position of the group of drawers, the gross pro- ducts method passes over into the special products method. The incentive for drawing may vary according to the interest of the investigator, but it always centers in a definite problem. For instance, a group of children is asked to illustrate a story which has just been read to them, to draw a picture of a house from memory, or to represent some object presented directly to them. The homogeneity of the group is definitely restricted in age, training, sex, race, etc., according to the purpose of the study. The products obtained permit the analysis of the perceptual and pre- sentation side of drawing to a certain degree, but the emphasis is laid upon the product itself. It is not essential that the investigator be present or that a record be kept of the accompanying sub- jective phenomena. The majority of existing researches have util- ized this method in whole or in part, and a wealth of material has been collected. The chief center of activity in this field for the past decade has been on continental Europe, although such early American works as those of Barnes are of impor- tance in this field. The work of Earl Barnes 1 is one of the earliest attempts to interpret large numbers of children's drawings secured upon this basis. Barnes made 1 Barnes, A Study of Children's Drawings, 1893. 20 THE PSYCHOLOGY OP DRAWING use of an English version of the poem Hans Guck- In-Die-Luft, taken from Der Struwwelpeter. The poem was first read to the children; they were then told that they were to draw one or more pictures from the story. The story was read the second time and the children proceeded to draw. The poem follows: JOHNNY HEAD-IN-THE-AIR As he trudged along to school, It was always Johnny's rule To be looking at the sky And the clouds that floated by; But just what before him lay, In his way, Johnny never thought about; So that everyone cried out: "Look at little Johnny there, Little Johnny Look-In-The-Air." Running just in Johnny's way, Came a little dog one day; Johnny's eyes were still astray Up on high, in the sky; And he never heard them cry: "Johnny, mind the dog is nigh!" What happens now? Down they fell with such a thump, Dog and Johnny in a lump! They almost broke their bones, So hard they tumbled on the stones. THE METHODS OF RESEARCH 21 Once with head as high as ever, Johnny walked beside the river. Johnny watched the swallows trying Which was cleverest at flying. . . Going in and coming out — This was all he thought about, So he strode on — only think! — To the river's very brink, Where the bank was high and steep, And the water very deep; And the fishes in a row, Stared to see him coming so. One step more! Oh, sad to tell! Headlong in poor Johnny fell. The three little fishes in dismay, Wagg'd their heads and swam away. There lay Johnny on his face, With his nice red writing-case; But, as they were passing by, Two strong men had heard him cry; And, with sticks, these two strong men Hook'd poor Johnny out again. Oh! you should have seen him shiver When they pulled him from the river. He was in a sorry plight, Dripping wet, and such a fright! 22 THE PSYCHOLOGY OF DRAWING This poem presents two catastrophes and, in all, nine scenes for illustration. The aim of the research was to determine what scenes were most often drawn; at what ages the greatest number of pictures were drawn; differences between boys and girls; and the laws governing the use of full face and profile. In all, Barnes collected 6393 papers (chiefly from California), including 15,218 pictures from children about equally distributed among the ages 8 to 16. S. Partridge in England, and Levinstein and Lamprecht in Germany, have used this same story and sheet of instructions. Clark 1 made use of some 700 drawings of chil- dren in a study of their difficulties with perspective. The first group of drawings collected were the products of the attempts of children to draw an apple with a hat pin stuck horizontally through it and turned at an angle to the observer. A second group consisted of the representations of a book lying side down and turned at an angle to the observer. Lena Partridge 8 has classified the drawings of men and women by 2000 English children from 3 to 13 years of age. Her analysis of the graphic products is made for various ages on the basis of (1) presence of certain parts of the human 1 Clark, The Child's Attitude toward Perspective Prob- lems, 1897. 1 Lena Partridge, Children's Drawings of Men and Women, 1900. THE METHODS OF RESEARCH 23 figure, (2) mode of representation of parts, (3) direction and inclination of parts, (4) attention given to clothes, and (5) sex differences. Miss Findley 1 investigated the special problem of the presence of artistic taste among children. Among the studies made in France, Belgium, and Switzerland may be mentioned those of Passy, Perez, Schuyten, Claparede and Geux, Ivanof, and Rouma. Passy 2 and Perez s employ the method of direct observation of a number of children drawing under particular assignments. The results of their observations are among the earlier publications. Schuyten, 4 beginning in 1901, made a study of the evolution of the human figure in drawings by children from 3 to 13, using for the most part the special products method. He visited unannounced a number of schools at ap- proximately the same time of day and requested the children to draw the figure of a man as they were in the habit of doing. The children were given entire freedom in their procedure. Schuyten obtained 20 series of drawings, 100 for each half- year period of ages running from 3 to 13 years, and divided equally among boys and girls. He utilized the materials as follows: 1 Findley, Design in the Art Training of Young Children, 1906. 1 Passy, Notes sur les Dessins des Enfants, 1891. 3 Perez, L'Art et la Poesie chez l'Enfant, 1888. 4 Schuyten, Het oorspronkelijk teekenen als bijdrage tot kinderanalyse, 1901. 24 THE PSYCHOLOGY OF DRAWING 1. By a lengthy and minute analysis of the manner in which the various parts, head, mouth, teeth, etc., were drawn, he established a quali- tative coefficient of the degree of perfection of each group. 2. A most elaborate quantitative study was made by exact and detailed measurements of all anatomical variations in the head, nose, neck, trunk, hands, etc. 3. The development of artistic standards was ascertained by a comparison with classic ideals. 4. After many attempts the endeavor to estab- lish types for the human figure at each age was abandoned. Probst, 1 an instructor in a native school in Algiers, tested some of Levinstein's conclusions 2 in a study of a preparatory class of 53 Kabyle children of a tribe entirely free from European mixture. Probst first caused them to draw such pictures as they desired of their own accord. He then compared their choice of subjects with that of European children. In a second experiment he had them draw from memory a different type of object on each school day for four successive weeks. They drew one or more men on Mon- days, a quadruped on Tuesdays, a bird on Wed- nesdays, a familiar scene on Thursdays, and what- 1 Probst, Les Dessins des Enfants Kabyles, 1906. 1 See later. THE METHODS OF RESEARCH 25 ever they pleased on Fridays. Probst's conclu- sions are not in accord with those of Levinstein. Claparede and Geux 1 conducted a research in 1906 and 1907 in connection with the psycho- logical seminar at the University of Geneva, which resulted in the collection of some 12,000 drawings from 3000 pupils. A questionnaire embracing definite instructions for procedure was distributed to a number of teachers. Under similar external conditions, pupils were directed: 1. To make a representative drawing of a chair or a stool placed in view of all. 2. To draw a cat from memory. 3. To illustrate the fable, Le Corbeau et le Renard. 4. To draw from choice whatever and however they wished. Instructions were given to guard against copy- ing, communication, and fatigue. All of the drawings were made with a pencil and ordinarily lasted five minutes. The instructors appended to the sheet of drawings of each child the sex, nation- ality, class, rank in class, general ability, subjects in which the greatest and least ability was shown, and remarks as to the mental type or additional peculiarities. The aim of the research was to answer a two-fold problem, (1) how taste and 1 Claparede and Geux, Plan d'Experiences Collectives sur le Dessin des Enfants, 1907. 26 THE PSYCHOLOGY OF DRAWING aptitude for drawing evolve, and (2) what corre- lation exists between aptitude in drawing and aptitude for work in general. The latter problem was assigned to one of Claparede's students, E. Ivanof, 1 who made a careful study of 9764 draw- ings from the original collection. Rouma, 2 in connection with various classes of subjects in Belgium and Switzerland, has made an elaborate series of studies in which he makes use of diverse methods, the results of which are published in his book, Le Langage Graphique de V Enfant, which contains one of the clearest treat- ments of the subject available. For the sake of unity, all of his study is mentioned here. The chief sources of Rouma's materials cover a period of years, as follows: 1. From October, 1900, to July, 1901, he gave two hours per day to the collection of drawings of eight children of rich parents. Part of the time was given to the collection of spon- taneous drawings with the accompanying com- ments of the children, and part to the drawing of suggested themes, such as: When I was a little boy; The trip to the country; The soldiers. 2. From September, 1901, to July, 1905, Rouma had the following subjects treated by all the classes in a school for retarded children and in a number of schools for normal children. 1 Ivanof, Correlation entre l'Aptitude au Dessin et les autres Aptitudes, 1908. a Rouma, La Langage Graphique de l'Enfant, 1913. THE METHODS OF RESEARCH 27 (a) Man, woman, little boy, little girl, soldier, cavalier. (b) The family house. (c) A man walking with his little dog. (d) A lady taking her baby a ride in a baby carriage. (e) Two girls playing ball. One of them throws the ball through the window. It is broken. (f) A thief escapes pursued by a gendarme. The thief carries a hen which he has stolen under his arm. (g) Saint-Nicolas. (h) Subjects from choice. 3. From September, 1901, to July, 1903, Rouma met a class of 40 pupils, aged 6 to 8, regularly one-half hour per week. The mem- bers drew alternately from free choice and dic- tation. 4. From September, 1904, to July, 1905, Rouma collected spontaneous and suggested drawings from a class of thirty backward chil- dren, aged 9 to n, devoting six one-half -hour periods to this task per week. He also noted all comments which accompanied the drawings of certain selected pupils, discovering many factors thereby which escaped attention other- wise. 5. From September, 1905, to July, 1906, Rouma made a study of twenty-six abnormal children in a special class in Brussels. The drawings were made from choice and by way of interpretation of a given subject. The develop- ment of modeling and language was studied at the same time. Rouma calls attention to the 28 THE PSYCHOLOGY OF DRAWING fact that the slower development of the stages of drawing among abnormal children makes possible a more detailed study of the individual steps. Paralleling this research, Rouma made a study of the drawings of the pupils of a Froe- belian school and a primary school. 6. In 1908, under the personal supervision of Rouma, a number of teachers in the Froebelian schools of Charleroi kept a record of the spon- taneous drawings and accompanying comments of selected pupils in their classes. In addition to the above mentioned researches Rouma made studies of the pupils of other schools and of certain normal and abnormal children not attending school. His final treatment includes a discussion of the stages of evolution in drawing, the various characteristics of the drawing-image, the evolution of drawing as a form of language, the bearing of drawing upon intellectual develop- ment and attention, modeling, the culture of aptitude in drawing, and the place of drawings in the interrelations of race and species. Among the leading German investigations of the special products type are those of Levinstein, Verworn, Kerschensteiner, Lamprecht, Kik, Wil- liam Stern, Diick, and Wagner. The works of Levinstein and Verworn extend into and will be described under the comparative products method. Kerschensteiner 1 made a monumental research 1 Kerschensteiner, Die Entwickelung der zeichnerischen Begabung, 1905. THE METHODS OF RESEARCH 29 in the interests of reforming the drawing instruc- tion in Munich. He aimed to discover (a) the entire course of the development of drawing from the first schema to the ultimate representation of space, and (b) the quality of representative ex- pression attainable by children 6 to 14 years of age. In 1903 Kerschensteiner obtained 96,000 drawings from 7000 children of the Munich schools, 2500 of whom possessed special aptitude in draw- ing. The children were asked to represent as follows : Trial I. From memory: (a) the picture of their mother, their father, their own picture; (b) a horse, a dog and a cat, a bird; (c) an angel. After nature: a child of the class. Trial 2. From memory: (a) a flower, a tree; (b) a chair, a church, a tramway. After nature: a chair, a violin, a pitcher. Trial 3. A battle in the snow. The 2,500 children with special talent in draw- ing represented: (a) a man carrying a beam; (b) a woman carry- ing a water-cask; (c) a building of the vil- lage, after nature. Kerschensteiner obtained the record of each pupil's age, ability, profession of parents, if possessed of a book of pictures, and if accustomed to draw at home. He concluded, however, that a 30 THE PSYCHOLOGY OF DRAWING large number of the drawings had been subject to outside influence and instituted another series of tests in 1904, including in addition to the regular pupils a school of idiots and a number of kinder- gartens. In the second series he secured 100,000 drawings. The drawings were classified according to a detailed sheet of instructions by the teachers. Kerschensteiner had all pupils showing marked talent draw in his presence afterward. When he was assured of the perfect fairness of the children's work, he began to collect documents which would aid in explaining this exceptional aptitude. In a third series, 52,000 additional drawings were collected which had been used in the orna- mentation of a book and a plate. Kerschen- steiner made a number of supplementary tests to clear uncertain points, particularly in connection with perspective. The drawing instruction in Munich had been reorganized on the basis of the results of this research and Kerschensteiner's work is a distinct contribution to the psychology and pedagogy of drawing. Lamprecht, 1 with the aim of contributing to the study of the history of civilization, beginning in 1904 at the University of Leipsig, initiated an international research upon a vast scale. Lam- 1 Lamprecht, Les Dessins d'Enfants comme Source His- torique, 1906. THE METHODS OF RESEARCH 31 precht sent a sheet of detailed instructions to various countries, involving the collection of the following types of drawings: 1. Spontaneous drawings of children who have not been influenced by suggestion or training. 2. Specified representative drawings of: (a) objects isolated in space, as a dog, table, flower, etc. (b) illustrated incidents, stories, etc. 3. Series of drawings from the same child. 4. Drawings of adults, particularly those with non-professional occupations. For comparative purposes a large number of drawings were secured from the poem Hans Guck-In-Die-Luft, using the Barnes method. In addition data were collected as to the age, train- ing, intelligence, and social position of the various subjects. A vast number of drawings were se- cured from Belgium, Sweden, Italy, England, Russia, Japan, America, India, and Africa, all of which have been classified and filed in the museum of the "Seminar for Culture and Universal His- tory" at Leipsig. Levinstein (61) (see bibli- ography), Kohler (58), and Kretzschmar (59) have made researches in connection with the classification and interpretation of this vast body of material Kik 1 made a study of thirteen drawers of mark- 1 Kik, Die iibernormale Zeichenbegabung bei Kindern, 1908. 32 THE PSYCHOLOGY OF DRAWING edly exceptional ability, part of the subjects working in his presence. He gave particular at- tention to environmental influences and the rela- tion between drawing aptitude and intelligence. William Stern, 1 beginning in 1905, directed an inquiry at Breslau embracing the drawings of 1500 pupils, aged 6 to 18, from the primary, middle, and high schools. The pupils endeavored to interpret a poem of some fifty verses which had been read to them. The resultant drawings were analyzed as to (1) individual differences, (2) progress with age, (3) representation of space, (4) the problem of time, and (5) differences in sex. Wagner 2 interpreted the foregoing material, classifying the possible motives of the drawings, giving percentages of frequency* for representation of movement, human figure, indications of humor, etc., and characterizing the developmental stages of drawing. Diick 3 made a special study of the interests of children in drawing and art, noting particularly the changes of interest at the time of puberty. 1 Stern, Spezielle Beschreibung der Ausstellung freier Kinderzeichnungen aus Breslau, 1906. 'Wagner, Das frie Zeichnen von Volksschulkindern, 1913. 3 Diick, Uber das zeichnerische und kiinstlerische Interesse der Schiiler, 1913. THE METHODS OF RESEARCH 33 III. The Comparative Products Method. 1 The comparative products method arises out of various combinations of the gross and special products methods. Drawings which have been obtained from one group of individuals are com- pared to the products of some other group. The drawings are taken to be significant of certain psychological traits of the groups concerned. It is hoped to reveal the relations existing between the respective groups by means of a study of the similarities in the drawing products. In this way advantage is taken of groups of drawings already carefully organized, such as may be found in many ethnological studies. There is no question that drawings may be utilized to reveal certain mental characteristics and thus prove valuable for comparative pur- poses. The validity of comparative generaliza- tions, however, naturally depends upon the or- iginal method of obtaining the drawings. In view of this fact, considerable caution must be used in dealing with "gross products" drawings. The comparative products method has been made use of by many investigators to enlarge the scope of their original researches. The most common contrast is the one made between a series of drawings of normal children with those of some 1 Includes Ruttmann's "die ethnologische Methode." 34 THE PSYCHOLOGY OF DRAWING other homogeneous group. In this manner the drawings of normal children have been compared with (i) the drawings of savages, (2) the drawings of prehistoric peoples, (3) the drawings of the pathologically degenerate, (4) the drawings of children of other races, (5) the drawings of illit- erate adults, and (6) the art products of earlier periods of civilization. In addition numerous studies have considered the parallels existing between the sexes, between general ability and drawing aptitude, and between drawing and other types of expression, such as modeling, writ- ing, and language. In making comparisons with the drawings of savages and prehistoric peoples, advantage is frequently taken of the materials collected and organized in such excellent studies as those of Danzel, 1 Haddon, 2 Koch-Griinberg, s Grosse, 4 Verworn, 5 Wilson, 6 and in the Annual Reports of the United States Bureau of Ethnology. The researches of Schuyten, Probst, Ivanof, Lamprecht, Stern, and Kik, which utilize the comparative method in part, have already been mentioned. Levinstein 7 utilized the drawings 1 Danzel, Die Anfange der Schrift, 1912. 1 Haddon, Evolution in Art, 19 14. • Koch-Grunberg, Anfange der Kunst im Urwald, 1906. * Grosse, The Beginnings of Art, 1897. B Verworn, Zur Psychologie der primitive Kunst, 1908. •Wilson, Prehistoric Art, 1896. 7 Levinstein, Kinderzeichnungen mit Parallelen aus der Urgeschichte, Kulturegeschichte und Volkerkunde, 1905. THE METHODS OF RESEARCH 35 collected by Lamprecht in a study of the compar- ative type. Three of the eight chapters of his interesting book are given to a discussion of these parallels. Levinstein also treats in considerable detail the general question of children's drawings and appends an extensive bibliography in his publication. Gennep 1 has elaborated a special treatment of this type, and similar discussions may be found in Chamberlain, 2 Sully, 3 Wundt, 4 and Meumann. 5 Max Verworn 6 began a study of the relation- ships existing between the drawings of children and primitive peoples in 1906. Verworn col- lected the drawings of a large number of rustic children, aged 6 to 14, believing that their environ- ment made something of an approach to that of the primitive. The children drew from memory such familiar forms as a goat, cow, horse, sun, moon, man, and woman. In a second study Ver- worn had children copy drawings of the paleolithic age which represented reindeer and mammoths. Then followed a series of drawings in which the 1 Gennep, Dessins d'Enfant et Dessins Prehistorique, 1911. 2 Chamberlain, The Child, a Study in the Evolution of Man, 1900. 3 Sully, Studies of Childhood, 1895. 4 Wundt, Volkerpsychologie, 1900-09. 5 Meumann, Experimentelle Padagogik, 1914. 6 Verworn, Zur Psychologie der primitiven Kunst, 1908. 36 THE PSYCHOLOGY OF DRAWING children each time drew their previous drawing. Verworn sought by this parallel to clarify certain points in the serial development of primitive drawings. Lobsien 1 repeated Schuyten's experiment to discover if a parallel existed between advance in age and an approach to the canons of art. He discards Schuyten's detailed measurements and selects the best and poorest drawers of ages 8, II, 13, and 14. His conclusions vary somewhat from those of Schuyten. The researches of Rouma and Levinstein in the field of the drawings of abnormal children have been mentioned. Rudolf Lindner 1 compared the drawings of deaf and dumb children with those of normal children by having the pupils of the Leip- sig Deaf and Dumb Institute follow Kerschen- steiner's directions for drawing a tramcar from memory. IV. The Biographical Method* This method endeavors to obtain all of the facts connected with an extended series of drawings by individual children. The observer is familiar with psychological methods and keeps detailed 1 Lobsien, Kinderzeichnung und Kunstkanon, 1905. 2 Referred to by Meumann, Experimented Padagogik, Bd. Ill, p. 758. 3 Compare Luquet's "methode microscopique." The methods of research 37 records of the subjective phenomena accompany- ing the drawings of the same child for a period of several years. For the most part this method has been used in studying the spontaneous drawings of children prior to the influence of special instruc- tion. More recently this has been varied by the introduction of special themes for interpretation or has been extended into the school period. The biographical method is practically free from the sources of error common to the exclusively ob- jective methods and, in connection with other methods, offers a most fertile field for investiga- tion. Many excellent researches have been made with biographical material. An early study of this type was made under the direction of Elmer E. Brown, 1 who interpreted four extended studies of the drawings of individual children Miss M. V. Shinn followed the drawings of a child from the 27th to the 64th month, Cath- erine W. Slack watched a second child from the 36th to the 60th month, Eleanor G. Sharp studied a third child from the 28th to the 60th month, and Lulu M. Chapman, a fourth child from the 32d to the 48th month. Brown collected data on the development of each child from the following points of view: (1) circumstances at the begin- ning of drawing, (2) degree of representation, beauty, and symmetry in the drawing, (3) first 1 Brown, Notes on Children's Drawings, 1897. 38 THE PSYCHOLOGY OF DRAWING attempts at copy drawing, (4) child's attitude to- ward drawing, (5) symbolism, (6) conventional- ism, (7) size, direction, and form of outlines, and (8) changing interests in form and color. Louise Hogan 1 made an extended bibliograph- ical study of the drawings of a child up to the age of eight, treating both spontaneous and suggested drawings. Lukens 2 followed the drawings of a little girl from the 27th to the 56th month. His treatment contains a very good summary of studies of children's drawings up to that time. C. and W. Stern 3 traced the developmental stages in drawing by the study of the early draw- ing periods and artistic interests of a little boy. Luquet,* using what he terms the "methode microscopique," has made the most elaborately detailed study of the biographical type up to the present time. His book of 262 pages and 150 plates of drawings contains a very complete analyt- ical account of the development of the drawings of the little girl, Simonne Luquet, from a little over three years of age to nearly nine. Luquet col- lected a series of over 1700 drawings with the accompanying comments and made a careful 1 Hogan, A Study of a Child, 1898. 8 Lukens, A Study of Children's Drawings in the Early Years, 1896. ' C. and W. Stern, Die zeichnerische Entwickelung eines Knaben, 1909. 4 Luquet, Les Dessins d'un Enfant, 1913. THE METHODS OF RESEARCH 39 record of all subjective conditions. Other re- searches involving the biographical method have been made by Baldwin, 1 Moore, a Preyer, 3 Sully, 4 and others. V. The Experimental Method. The experimental method attempts to analyze the process of drawing by setting up a definite and precise control of the drawing act which takes into account the subjective as well as the objective aspects of drawing. It attempts to measure the response of individual drawers to known and con- trollable conditions. As distinguished from ob- jective methods, very careful attention is given to the inner mental conditions of the individual sub- jects. The attempt is made to determine indi- vidual variations in such subjective factors as per- ception, type of imagery, memory, endowment, and training. In general, the problem is to reduce the drawing process to its elements for purposes of ultimate analysis of the ordinarily synthesized activity by the employment of the methods of experimental psychology. In the majority of existing researches the meth- ods of control have been but partial at best, but, 1 Baldwin, Mental Development in the Child and the Race, 1897. 1 Moore, The Mental Development of a Child, 1896. 3 Preyer, The Mind of the Child, 1899. 4 Sully, Studies of Childhood, 1895. 40 THE PSYCHOLOGY OF DRAWING as a whole, the results obtained by the experimental method are of the greatest significance both to the psychology and the pedagogy of drawing. The chief researches follow. Judd and Cowling 1 made an experimental analysis of the various elements which enter into the process of the visual perception of a simple figure. A small linear figure composed of four straight and three curved lines was exposed to the view of a number of subjects for a period of ten seconds. The subjects immediately after- ward attempted to reproduce the figure in a draw- ing. The figure was then exposed again and a second drawing attempted. This process was repeated until the subject had attained an ap- proximately correct percept of the figure. By a comparison of the objective results with the intro- spections of the various subjects, the investigators were enabled to trace the development of the per- ceptual process and the ability to reproduce the figure graphically. Katz 2 studied the individual differences in repre- sentative drawing among children by having three girls of 5, 6, and 7 years draw in succession with ruler and pencil the following models made out of blue pasteboard: (i) triangle, (2) quadrate, (3) 1 Judd and Cowling, Studies in Perceptual Development, 1897. 2 Katz, Ein Beitrag zur Kenntnis der Kinderzeichnungen, 1906. THE METHODS OF RESEARCH 41 parallelogram, (4) ellipse, (5) circle, (6) cube, (7) flat quadrate with four supports in the form of a four-legged table, (8) three-sided pyramid, (9) regular tri-lateral. In a second series of drawings Katz investigated the elements of the perceptual process and attention which gave rise to the peculiar characteristics of individual drawings. Albien 1 has contributed an elaborate experi- mental study concerning the elements entering into the drawing act which is of first importance to the psychology and pedagogy of drawing. The experiments were carried on with individual pupils in Albien's home. The first was conducted by Meumann. The others were taken up during a period of about eight weeks, during which Albien tested from two to four pupils daily. The process of representative drawing from copy was taken to consist of two major processes: (1) the optical- perceptional part, and (2) the graphical-reproduc- tive part, involving the representation of the previously apprehended and assimilated optical images. Each of these major processes was taken to consist of a number of subordinate elemental part-processes. (See discussion later.) The aim of Albien's research was to set up an experiment which would isolate the various part- processes of the drawing act. To this end figures 1 Albien, Der Anteil der Nachkonstruierenden Tatigkeit des Auges und der Apperception an dem Behalten und der Wiedergabe einfacher Formen, 1907. 42 THE PSYCHOLOGY OF DRAWING were selected for "copy" which provided for the following considerations : 1. The resemblance of the "copy" to known figures was controlled so as to reduce the play of memory to a definite minimum. Three figures were selected for copy; the first being practically foreign to the previous experience of the subjects, the second resembling the contour of known forms, and the third of medium dif- ficulty. 2. The constructive activity of the eye and hand movements and of the apperceptive pro- cesses was controlled by artificial interruption. Eye movements were excluded, when desirable, by means of a definite fixation point marked on the copy. The involuntary drawing move- ments of the hand during preliminary percep- tion were excluded by rhythmic movements of the hands. 3. An attempt to exclude the will during perception was made by asking the pupils not to think about drawing the object during the process of fixation. The experiment as a whole was carried on in three chief parts. Part I. Drawing After Fixating Seeing (Zeichnen nach fixierenden Sehen). In this part of the experiment each of the three types of copy was exposed by means of a tachisto- scope for a period of ten seconds (repeated when desirable), during which time the eye was kept THE METHODS OF RESEARCH 43 fixed upon the fixation mark near the center of the figure, all of the figure, however, lying within the field of the subject's vision. The subject then attempted to reproduce the image of the copy by drawing it. The subject was then asked: "Do you consider the drawing to be correct?" "Can you tell what is wrong? Where is anything lacking?" "What is the cause of it? Is it that you can- not see accurately and cannot draw satisfac- torily?" Part II. Drawing from Memory (Nach der Vor- stellung aus dem Geddchtnis) . Each subject was permitted to observe the copy until he thought he could draw it from memory. The drawing was then executed. The time of the observation and execution was recorded and the following questions asked: "Is the drawing difficult? Why? or, What is the cause?" "Upon what do you depend in memory draw- ing?" Other questions are supplemented ac- cording to individual needs. Part III. Representative Drawing from Copy (Abzeichnen der Vorlage). In conclusion each figure was drawn with the copy in view. The time of drawing was recorded. All subjective manifestations were recorded throughout the entire experiment. 44 THE PSYCHOLOGY OF DRAWING The subjects for the experiment were selected by Albien from a local raz/-school and included classes Sexta to Untersekunda, with the following age distribution : Sexta 96 mbjects 9-10 years Quinta 9 ii 11-12 " Quarta 10 ii 13-14 " Tertia 9 ii 15-16 " Untersekunda 8 ii 17-18 " The pupils in the Sexta had had no lessons in drawing. The others had received two hours per week in freehand drawing. From the original classes, containing about fifty pupils each, Albien selected one good, one medium, and one poor drawer with good general intelligence, and one good, one medium, and one poor drawer with poor general intelligence. In conclusion Albien ana- lyzed the various types of drawers and the effects of endowment, perserveration, the feelings, and re- flection, upon drawing. Stiehler 1 made an instructive experiment to determine the relation between construction and drawing, with the particular aim of distinguishing between the physical concept and the drawing concept attaching to the same object. The experi- ment, having eighteen children as subjects, was conducted in two parts. 1 Stiehler, Beitrage zur Psychologie und Methodik des Zeichenunterrichts, 1913. THE METHODS OF RESEARCH 45 1. Each child placed a match-box at a dis- tance of about 60 cm. in such a manner that it stood obliquely and lower than the eyes. The children were admonished to note the number of surfaces, their arrangement, size, and form; and at the same time, however, they were not to turn their heads in order that the perception might always occur from the same visual angle. Nothing was said with regard to perspective phenomena, foreshortening of size, and shifts in form. After observation and general delib- eration, the box was set aside. It was then drawn from memory. 2. The match-boxes were then touched, rubbed, pressed, relaxed, turned; there was counting, measuring with strips of paper, com- parison; first with the eyes closed, then open. The representation was then made from memory. The results of these two tests were interpreted in light of the accompanying remarks of the sub- jects. Peter 1 has recently experimented with an analysis of the elements attached to the mastery of the perspective relationships in drawing objects which are situated back of other objects. Peter required the pupils to draw a scene viewed through an inter- vening window. Beside the part played in Albien's experiments, Meumann 1 records in his treatment of The Ana- 1 Peter, Beitrage der Analyse der zeichnerische Begabung, 1914. 2 Meumann, Vorlesungen zur Einftihrung In die Experi- mentelle Padagogik, 1914. 46 THE PSYCHOLOGY OF DRAWING lysis of Drawing two further experiments worthy of note here. In the first series Meumann had a group of subjects draw from memory a number of familiar objects. Certain of the subjects were then directed to describe the objects from memory, or, failing in this, to describe the objects when pictures of them were placed before them. Various individuals were questioned as to their difficulties in drawing from memory. In addition, individual hand dexterity was studied and a comparison was made of the memory (auswendig) drawings follow- ing short and long exposure. In a second series of experiments directed by Meumann, an attempt was made to classify the types of drawing retention and the elemental processes of the drawing act. In this study ob- jects of gradually increasing difficulty were pre- sented for representative drawing (Abzeichen). These included such objects as a piece of lime-spar lying upon a cigar box, and a cigaret box with crayon and inkstand. The following types of drawing were secured: i. After the subject announced that the ex- posure had been long enough for sufficient ob- servation, the object was covered and drawn from memory. 2. Out of recollection, usually one day later, of the first attempt. 3. From memory after an exposure of one minute. THE METHODS OF RESEARCH 47 4. The same object as in 3 after one day. 5. From memory after an exposure of about ten seconds. 6. From memory after a tachistoscopic ex- posure of about one-half second. 7. Objects from which all subjective con- struing had been excluded. 8. From the recollection of a picture, such as, The Birth of Christ. 9. After an attempt at influencing the mem- ory by suggestion. Immediately after each drawing each subject was asked questions to bring out individual vari- ations in the subjective elements of the drawing act. Finally a stamp, the Hamburg escutcheon, and the subject's own pocketbook were drawn from memory. The subjects were also tested in hand skill and types of imagery. Chapter III STUDIES IN THE RELATION OF DRAWING TO INTELLECTUAL DEVELOPMENT I. Industrial versus Cultural Values. The rise 1 of drawing in the public school program of studies has been due to two more or less con- flicting art interests, the industrial and the cul- tural. Drawing made very little headway in the United States until emphasis upon its economic value secured the support of such educational leaders as Horace Mann and Henry Barnard. The publication of a number of foreign articles on the value of drawing together with the public- spirited work 3 of such men as William Bentley Fowle, Rembrandt Peale, and William Minifie, kept an interest in public school drawing alive, but until 1870 progress was practically counter- acted by a widespread conception of drawing as an "amusing exercise." In 1870 the state of Massachusetts enacted a law which states that "mechanical and industrial" 1 No attempt is made here to give even a summary of the historical rise of drawing, an account of which may be found in Jessup, Clarke, Haney, or Farnum. (See bibliography.) 2 Haney, Development of Art, pp. 21-33. 49 So THE PSYCHOLOGY OF DRAWING drawing may be freely taught in any city and town, and free instruction must be given in cities and towns of over 10,000 inhabitants. This was followed by the selection of Walter Smith of the School of Arts in Leeds, England, as State Agent. Smith was a few years later made director of the newly established Massachusetts Normal Art School. "As directors of the foremost Art Schools, State Supervisors, city directors, editors and writers, craftsmen, painters, sculptors, and architects, the alumni of this particular school and their children of one and two generations lead in the art world of the United States today." 1 The Massachusetts movement spread rapidly to other states, but the great emphasis given to mechanical and industrial drawing was followed by a reaction, chiefly on the part of teachers, toward an emphasis of the intellectual values of drawing. This is well illustrated in a quotation cited by Jessup. 1 "The old style of drawing consisted princi- pally of picture making from copies. The new is an intellectual study; the thought, ingenuity, and invention of the scholar in the line of art as supplied to industrial pursuits. The influ- ence of this branch is manifold; it especially 1 Farnum, Present Status of Drawing and Art in Schools, p. 18. 2 Jessup, Special Supervision in the Public Schools of the United States, p. 29. RELATION OF DRAWING TO DEVELOPMENT 51 develops: (1) observation; (2) forethought; (3) painstaking; (4) taste, imagination; (5) memory of forms; (6) power to discriminate — judgment; (7) ease and precision in the movements of the hand. As drawing is opposed to carelessness, haste, bad forms, and clumsy execution, it is a valuable art in teaching writing." Report of the Schools of Erie, Pennsylvania, 1877-78. The prevailing belief in the disciplinary value of drawing is summarized in Clarke's voluminous work 1 in 1888 as follows: "The value of drawing as a means of mental discipline is believed to be not inferior to that of any of the studies at present included in the curriculum of the public schools. It is, there- fore, not only because of its direct application to the industries and art and hence of economic value to the pupil, that this study of drawing has a claim to admission into the public schools. Its value as a means of developing and training the intellectual faculties is so well established, from the professional point of view of the teacher, and, regarded merely as an instrument of pedagogics, the progressive system of ... industrial drawing can readily establish its claim for introduction into the elementary course of instruction on educational grounds alone." A value of drawing which is of greater cultural breadth than the so-called intellectual value, and which may be called the aesthetic value, received Clarke, I. E., Art and Industry, Part I, CXXII. See Jessup, p. 29. 52 THE PSYCHOLOGY OF DRAWING widespread acceptance through the interest in design and decoration stimulated by the art exhibits of the World's Fairs at Chicago in 1893 and St. Louis in 1904. With the development of this interest there has been a marked tendency to correlate the cultural and industrial work in the school arts which has resulted in a realignment of the values of drawing. Henry Turner Bailey 1 gives the following reasons for requiring drawing in the public schools: "1. Drawing is a language of form: (a) graphic recorder of scientific fact; (b) expres- sion of constructive and decorative art; (c) medium for expression of ideas of artistic beauty. "2. Practice in drawing promotes: (a) close observation, thus insuring clear mental images; (b) muscular control or skill of hand; a pre- requisite in the practice of any craft; (c) a knowledge of the elements of beauty in nature and art, the basis of design, and the grounds for intelligent taste and appreciation. "3. The study of drawing opens the mind to the treasures of nature and the various arts; increases the pleasure and general significance of life." In contrast to this, Sargent's 2 analysis of drawing as representation differentiates the following values : 1 Bailey, Monroe's Cyclopedia of Education, 1912. 2 Sargent, Fine and Industrial Arts in Elementary Schools, 1912. RELATION OF DRAWING TO DEVELOPMENT 53 1. General. "Drawing is a language, a mode of reproducing ideas, and as such is a means of forming and developing these ideas." "Draw- ing develops ability of concrete habits of thought." "Drawing stimulates the mental activity of children." 2. Industrial. "To the man engaged in constructive work, drawing offers a means of endless experimentation . ' ' 3. Scientific. "In scientific studies drawing focuses the attention upon, and quickens obser- vation of, facts of form and structure, rendering the senses more accurate in their testimony and furnishing a means of making definite records." 4. Aesthetic. "Representation is also the language of the fine arts of painting and sculp- ture." R. B. Farnum, 1 who has recently made a thor- ough-going investigation into the status of draw- ing and art in the elementary and secondary schools of the United States for the Bureau of Education and is probably mo^e familiar with the general situation than any other man in the country, states that: "The broad and general purpose of culture through art education may be roughly sub- divided into three distinct aims. . . which are universally agreed upon. Such an educa- tion should train (a) in expression, (b) in obser- vation, (c) in appreciation." 1 Farnum, Present Status of Drawing and Art in Schools, 1914. 54 THE PSYCHOLOGY OF DRAWING (a) Expression. "As an outward expression of the mental processes, the value of the study of art lies in stimulating the finest ideals and in giving command of the best means of expressing them." (b) Observation. "Keen and accurate obser- vation, then, is fundamental to art and is an asset in the broadest sense. It calls for close analysis and stimulates the initiative of the discoverer." (c) Appreciation. "Appreciation as applied to master creations of the artist in architecture, sculpture, painting, to the forms of minor art seen in the works of the craftsman, to nature, to the very environment of the person himself, is the third aim in art education." With these several aims of drawing in mind, it is interesting to note the emphasis that is given to technical ability in college entrance requirements. The following university entrance requirement 1 must be met by candidates who apply for five credits in freehand or mechanical drawing: Freehand Drawing. The applicant must pos- sess ability: 1. To make rapid sketches from objects which shall indicate the perspective appearance, the proportions, and the main characteristics of structure and form. 2. To make as records of observations such drawings as would be appropriate for illustra- tion to accompany high school studies in the sciences. 1 University of Chicago Entrance Requirements, 1912. RELATION OF DRAWING TO DEVELOPMENT 55 3. To sketch freehand, from specifications, any simple geometric figure. 4. To match with water colors any given color, or to carry a flat wash of color over a given area. Mechanical Drawing. The applicant must pos- sess ability: 1. From a given mechanical drawing of a simple object to make a freehand drawing of the appearance of the object in perspective. 2. From a simple geometric form or con- structed object to make dimensioned freehand working drawings which furnish data sufficient for a finished instrumental drawing or for the construction of the object. 3. From specifications to make a completed working drawing, freehand or instrumental, or a sketch of the appearance of the object. It should be stated here that outside of art and technical schools individuals are rarely found who measure up to the standards of the foregoing aims and requirements. II. Scientific Values. Attention was called in the introductory chap- ter to the fact that representative drawing is esteemed by many teachers as a useful device for securing analytical observation. This concep- tion of the value of drawing is more specifically disclosed in the following list of typical quotations from laboratory manuals and relevant literature: 56 THE PSYCHOLOGY OF DRAWING Spencer, Education, 1861. Drawing is "a means whereby still greater accuracy and com- pleteness of observation is induced." Johonot, Principles and Practice of Teaching, 1878. "Drawing is of the highest use to all intellectually in inciting to correct observation." Bergen, Note-book to Accompany Botany Texts, 1904. "Sketch every thing that can be drawn, and then explain in writing all points not evident from the sketches." Ganong, The Teaching Botanist, 1900. "The very act of drawing will call attention to fea- tures otherwise overlooked." Maxwell, The New Course of Study, 1904. "Use drawing wherever possible and particu- larly in nature study, for there can be no proper study of these objects unless they are drawn. This is absolutely essential." Hardest, Laboratory Guide for Histology, 1908. "In drawing one learns to practice habits of neatness and astuteness of observation." Conn, Biology, 1912. "In all cases where laboratory work is possible, students should be required to make careful drawings of the ob- jects." Curtis, Laboratory Directions in General Zoology, 1912. "Drawings are used solely as a means of enforcing exact observation and recording the results of the same." Bastin, Laboratory Exercises in Botany, 1895. "They [drawings] are useful not only in explaining to others the structures observed, but they are in themselves great aids also to accurate observation, and are equally helpful in RELATION OF DRAWING TO DEVELOPMENT 57 giving vividness and permanency to knowl- edge." Hall, The Teaching of Physics, 1913. "Prac- tice of the graphical method of record, by means of the simplest possible drawings, is of very great service; for it requires the pupil really to study his apparatus, and yet, by saving many words, may save his time as well as that of the reader." The use of drawing as a device for recording the work accomplished by the pupil is practically universal. Ganong, The Teaching Botanist, 1910. "He can not make even a passable scientific drawing or written description of an object until he has first seen it accurately and completely, and realized its construction." "For his purpose both drawings and descriptions are needed." Bigelow, The Teaching of Zoology, 1907. "The ideal record of laboratory work in zool- ogy consists of both drawings and notes." In spite of the common belief in the efficacy of representative drawing to secure analytical obser- vation, there is a growing realization among those who have given more thought to laboratory prac- tice that the purely representative drawing does not accomplish this purpose. Ganong, The Teaching Botanist, 1910. "It is essential for the teacher to realize that scien- tific drawing does not consist in the composi- tion of pictures correct in perspective and fine 58 THE PSYCHOLOGY OF DRAWING finish, but in the making of diagrammatic outlines which convey to the mind of the be- holder accurate conceptions of the real construc- tion of the object represented." Bigelow, The Teaching of Zoology, 1907. "Drawings, like the structures they represent, lend themselves chiefly to the training in ob- servation. For sound training in induction we must have notes . . . clearly written, logical accounts of observations, experiments, and conclusions." To these quotations should be added one of Luquet's conclusions. 1 "For to set limits to the sense of observation, it is certain that in making the child draw one attracts his attention to motifs in which he was perhaps not interested by himself. But if we consider here drawing as an element of 'object lessons,' logical realism is infinitely more adapted to this role than visual realism, since it con- sists precisely in placing in the drawing all that is in the object, and to typify all of the elements, each with its exemplary form, and by logical realism the child in some way spon- taneously effects the dissection of the object which he reproduces." 777. Relation of Drawing to Special and General Aptitudes. Many writers have called attention to the value of drawing as a means of studying the intellectual 1 Luquet, Les Dessins d'un Enfant, pp. 250-51, RELATION OF DRAWING TO DEVELOPMENT 59 development of the child. The spontaneous drawing in particular serves as a definite form of expression to reveal many conditions of the child's mental life and growth which are otherwise inac- cessible. Here, as with all children's drawings, it is unwise to build too much upon group collections unless augmented by the acts and remarks of the children while drawing and by series of drawings from the same children. 1 The relation which exists between ability in drawing and ability in other subjects and other modes of expression is an interesting question which bears directly upon our general problem. The literature of drawing contains abundant com- ment concerning the relation of drawing to other subjects, as well as to general intelligence, but there is very little in the way of exact experimental investigation. >' Miss Elderton 2 compared 19 boys in the Fourth Form of an English public school as to abilities in Drawing and Classics and obtained a correlation of .416. With the same number of boys in the next higher form, the Remove, she obtained a negative correlation of — .313. Waiving criticism as to the manner of obtaining the original grades, the small number of subjects, nineteen, in this 1 Rouma, Le Langage Graphique de l'Enfant, p. 157. 2 Elderton, On the Association of Drawing with Other Capacities in School Children, Biometrika, 1909. 60 THE PSYCHOLOGY OF DRAWING study permits chance to play so large a part in the ultimate correlation discovered that the figures given are practically without value. The most pretentious attempt in this field is the study of M. Ivanof, 1 which embraces 9764 drawings. The correlations were made according to age and not by grade in school. The valua- tion of the drawings was based upon three factors: (1) accuracy of proportions, (2) imaginative con- ception, (3) technical and artistic value. The individual drawings were graded from per- fect down to worthless on a scale of points: 6, 5, 4, 3, 2, 1, and o. Each drawer was eventually classified from the average of four drawings graded separately into one of three groups: 1. Good drawers (Average 6 or 5). 2. Medium drawers (Average 4 or 3). 3. Poor drawers (Average 2, 1, or o). Table I expresses the final results: The results shown in this table indicate that ability in drawing is positively correlated with general ability, particularly among the girls. The results are, however, open to criticism on account of the possible variability of the original grades in the various branches. These were obtained on the basis of the individual judgments of a number of different teachers and not by accurate psycho- 1 Ivanof, Correlation entre l'Aptitude au Dessin et les autres Aptitudes, 1908. RELATION OF DRAWING TO DEVELOPMENT 6 1 Table I Correlation Between Aptitude in Drawing and Work in General The figures show the percentage of pupils in each group who were strong students in general work. Strong Pupils Berne Geneve Neu- chatel Vaud ( % among all pupils Boys -< % among good drawers. C % among poor drawers. 33 45 29 33 40 22 34 34 15 32 54 15 ( % among all pupils .... Girls -j % among good drawers. (. % among poor drawers. 36 6o 30 32 48 12 39 100 22 35 68 18 logical tests. Moreover, the three factors used for grading the drawings are widely variable and afford a source for misinterpretation of the final results. Ivanof also estimated the correlation between drawing and a number of other school subjects. i. Drawing and Writing, (a) Of boys who are good in drawing, the percentage good in writing is higher and the percentage poor in writing is much lower than with the average of the pupils, (b) The correlation is less clear with the girls, since the percentage of good girl drawers who are poor in writing (18%) is prac- tically equal to the average (17%). (c) Includ- ing all, there is a positive correlation. 2. Drawing and Geography, (a) Boys are more often better, and less often poorer, than girls, (b) There is a positive correlation between 62 THE PSYCHOLOGY OF DRAWING drawing and geography with both boys and girls. This correlation is easily explained, be- cause the study of geography involves the memory to a great extent. 3. Drawing and History. Conclusion. It is not easy to explain the strong correlation which we have found between history and drawing. It may come from an indirect correlation; perhaps those good in history, like those good in drawing, are those who know best how to construct mentally the visual schemas of events, scenes, objects. 4. Drawing and Calculation. The correla- tion is clearly present with the girls; it is less marked with the boys. With the pupils at Vaud the results are antagonistic. 5. Drawing and Manual Arts. Large corre- lation present. This is easily explained. It implies many of the same physiological factors: exactness of the visual sense, precision in hand movements, aesthetic taste. 6. Drawing and Language. Contradictory re- ports from canton to canton. Ivanof con- cludes the correlation is uncertain. 7. Drawing and French Composition. The results show a positive correlation. All of the results above are open to a number of criticisms which will be discussed in greater detail in connection with a similar personal re- search. (See Chapter VI.) Kik, 1 in the course of his elaborate study of thirteen unusually talented drawers, makes the 1 Kik, Die iibernormale Zeichenbegabung bei Kindern, 1908. RELATION OF DRAWING TO DEVELOPMENT 63 following statement with reference to the relation between talent in drawing and the degree of gen- eral intelligence: "It is easy to comprehend that mechanical copying as merely skill of hand has nothing to do with general intelligence and that a good copyist may be a poor scholar. In general, the pure copyists are weak pupils in the scien- tific branches. As the number of copyists is sufficiently large, and since they formerly ob- tained the best marks, one has been able to say, 'A good drawer is a poor scholar.' But in reality it is the statement of Kerschensteiner which is true: 'A great talent of graphic expres- sion is regularly associated with the child of good intelligence.' The activity of the memory and the imagination in drawing proves that it is intellectual work and that a great talent for drawing is always the sign of a developed intel- ligence. Experience demonstrates it. The good drawers show a good or satisfactory faculty for the scientific branches; they have certain strong subjects and certain weak subjects. Often the good drawers are strong in the natural sciences. Favored by their love of nature, they have ac- quired a mass of empirical knowledge and at- tend the lessons with interest. The drawers of imagination are excellent in style and obtain good marks in German; literature pleases them; there they find material for drawing. Preoc- cupied with concrete objects, they have a cer- tain weakness for the abstract sciences: mathe- matics, algebra, geometry. Finally, they are not brilliant in oral expression, habituated and tempted as they are to express themselves by drawing." 64 THE PSYCHOLOGY OF DRAWING Rouma 1 agrees with the general trend of these conclusions, but Albien, 2 after a careful experi- mental study of the drawing act, says: "The foregoing experiments give no confirma- tion to the thesis which Kerschensteiner up- holds: very great talent for graphic expression is positively correlated in children with good intellectual endowment. For the pupils in the foregoing attempts did not show equally not- able intelligence and good drawing talent. The most talented boy in drawing ranks 29 in a class of 46." These contradictory reports result in great part from different interpretation of the meaning of the word drawing. Ivanof includes under draw- ing factors of imagination and aesthetic interpre- tation, while Albien's experiments restrict draw- ing to pure representation. Kik specifically denies good intelligence to the copyist and claims it for the artist. It is probable that drawing, as an art, is characterized by some of the same factors which enter into "general intelligence," while drawing, as mere representation, is relatively specialized. The conclusions of two studies in general intelligence bear upon this question. Terman 3 tested seven of the brightest boys and 1 Rouma, Op. cit., p. 198. 2 Albien, Op. cit., p. 33. 'Terman, Genius and Stupidity, Pedagogical Seminary, 1906. RELATION OF DRAWING TO DEVELOPMENT 65 seven of the dullest boys in a group of five hundred elementary school pupils in (a) powers of inven- tion and imagination, (b) mathematical ability, (c) mastery of language, (d) insight, (e) ease of learning the game of chess, (f) memory, and (g) motor ability. He concludes that the bright boys are superior to the dull boys in all mental tests and inferior in the motor. Simpson 1 investigated the correlation present in a variety of mental abilities which he groups roughly under the heads: sense-discrimination, motor control, efficiency in perception, efficiency in association, memory, and selective thinking. Upon the basis of his own and previous experi- ments Simpson concludes: "We find justification for the common as- sumption that there is a close interrelation among certain mental abilities, and conse- quently a something which may be called 'gen- eral mental ability' or 'general intelligence'; and that, on the other hand, certain capacities are relatively specialized, and do not neces- sarily imply other abilities except to a very limited extent." Whatever correlation may exist in general be- tween talent in drawing and other intellectual capacities, it is quite evident that there are num- erous individual cases where a high state of intelli- 1 Simpson, Correlation of Mental Abilities, 1912. 66 THE PSYCHOLOGY OF DRAWING gence is not a sign of superior drawing ability. Not only is this true, but it is not particularly uncommon to find cases of extreme negative cor- relation between drawing ability and other mani- festations of intelligence. Rouma's 1 tests with weak-minded children show that subjects with feeble intelligence sometimes have very strong visual memories and make slowly achieved draw- ings which are remarkable in perfection of detail. In contrast to this, Stiehler 2 records that he has two sculptors in his Seminar practice school who have no ability in drawing whatever, and Meu- mann 3 describes an adult specialist in psychology whose drawings are entirely without represent- ative value. 1 Rouma, Op. cit., p. 199. a Stiehler, Psychologie und Methodik des Zeichenunter- richts, p. 35. 3 Meumann, Experimentelle Padagogik, III, p. 750. Chapter IV STUDIES IN THE ANALYSIS OF THE DRAW- ING PRODUCT I. Gross Products. Many investigators have been interested in the broad question of what children draw and numer- ous analyses of large collections of drawings have been made upon this basis. A typical example is the study of 1570 drawings by Mrs. Maitland. 1 The drawings were obtained by asking children to draw what they pleased. The drawings were then collected and classified as shown in the fol- lowing table : Table II What Children Draw Spontaneously The figures indicate the number of children who drew the type specified at the various ages. Type 5-7 yrs. 8-10 yrs. 11-13 yrs. 14-15 yra. Human figure 45 40 8 5 Animals 23 21 11 10 Plants 35 30 17 11 Houses 32 30 13 4 Mechanical 8 13 1 1 8 Still life 40 47 39 31 Geometric design 5 12 28 37 Ornament 3 3 4 8 1 Maitland, What Children Draw to Please Themselves. 67 68 THE PSYCHOLOGY OF DRAWING Levinstein 1 finds similar results in a gross analy- sis of several large collections of drawings. At early ages children prefer to draw the human form. As age increases, animals, plants, and diverse objects respectively gain a larger place in the drawings. In all cases it is the familiar animal or plant which receives the highest percentage of representation. On the other hand, Probst, 2 in a study of the spontaneous drawings of the native children of a Kabyle tribe in Algiers, finds that animals are drawn in preference to the human figure. Probst asserts that the matter of choice varies with the race and that it is dependent upon local tradition and environment. The evolution of the representation of the human figure affords material for the analysis of the development of a specific type. Lena Partridge 3 has catalogued the variations of the different child ages in detail. These statistics indicate that there are a num- ber of well-marked general stages in the evolu- tion of the representation of the human figure. At early ages the child has little idea of form, proportion, or visual representation. The simple notions gradually include more and more detail 1 Levinstein, Kinderzeichnungen. 1 Probst, Les Dessins des Enfants Kabyles. 3 Partridge, L., Children's Drawings of Men and Women. ANALYSIS OF THE DRAWING PRODUCT 69 Table III What Children Draw in Representing the Human Form The figures give percentages of children at each age. Age3 4 s 6 78 9 10 11 12 13 Body 50 82 92 93 98 99 98 99 ioo 100 Feet 39 83 92 93 94 98 98 97 98 98 Arms 45 67 71 80 76 75 93 90 95 95 Neck 8 22 20 37 51 63 79 79 90 93 Hair 6 26 27 32 38 58 70 65 73 82 Beard I 12 15 12 18 34 40 36 60 51 Feet profile... 15 54 66 73 78 87 83 85 79 85 Nose profile. .. 6 34 46 65 76 79 81 81 77 76 Body profile. . . 1 5 7 16 30 36 41 50 59 62 Hat 32 57 59 76 78 81 84 89 85 80 Buttons 30 37 37 52 55 66 64 81 79 83 until approximately complete. The change from full-face representation to profile is a marked characteristic in the development of the human figure. Levinstein 1 makes similar generalizations from a large array of drawings. The biographical studies of Rouma 2 and Luquet 3 indicate that the representation of animal as well as human forms passes through a series of stages which appear successively. 1 Levinstein, Op. cit. 2 Rouma, Le Langage Graphique de l'Enfant. 3 Luquet, Les Dessins d'un Enfant. 70 THE PSYCHOLOGY of drawing Many students have been interested in the way in which children draw. There is a considerable mass of literature devoted to the study of the child's difficulty with the factors of time, orienta- tion, opacity, proportion, space, perspective, and movement. The majority of children master these problems in similar fashion. Rouma 1 distinguishes four stages of develop- ment in the representation of movement. 1. The drawings are stereotyped, indicating merely that a man or an animal is being repre- sented. The child announces verbally what the motion is. "The man runs." 2. The second stage shows movement by some form of relationship. A line is drawn from the stereotyped form of a dog to a house, which indicates that the dog is going to the house. 3. The movement is partially indicated in the drawing. A raised leg, with the remainder of the figure stereotyped, shows that a man is running. 4. The entire drawing depicts motion. The following table is taken from Rouma. The figures indicate the variation in representation of motion by ages. The tests were given to five classes in a Molenbeek school for girls. 1 Rouma, Op. cit., pp. 86-104. ANALYSIS OF THE DRAWING PRODUCT 71 Table IV Representation of Motion The figures indicate the number of children of different ages. First Grade- -33 pupils Ages First Stage Second Stage Third Stage Fourth Stage Neutral Relative Partial Complete 6 yrs.. . 3 15 O 7yrs... 5 O 8 yrs.. . 1 5 2 O 9 yrs.. . 1 1 O O 5 26 2 O Fourth Grade- —26 pupils 9 yrs... 3 I 10 yrs.. . 1 3 2 11 yrs... 2 3 12 yrs... 3 6 13 yrs... 1 1 2 11 13 These statistics show that, while there is a gen- eral parallelism between advance in age and the ability to represent movement, there is great vari- ation among individual pupils. Different chil- dren of the same age appear in three different stages of drawing. •)2 THE PSYCHOLOGY OF DRAWING Levinstein 1 tabulated 4943 illustrations of Hans Guck-in-die-Luft upon the basis of the manner of drawing. As a result he distinguishes two chief types of drawings. (1) Fragmentbilder (fragment-pictures) and (2) Erzahlungsbilder (nar- rative-pictures). The illustrations of a child of six years afford a pure example of the Fragment- bilder. No actual scene is represented, but the illustration is composed of isolated figures scat- tered over the paper entirely without organiza- tion. At older ages the children begin to produce the Erzahlungsbilder. The scenes of the story are now distinguished and arranged according to the sequence of the phrases of the story, a scene for each phrase in chronological order. Levinstein found that this type is begun at the age of 9 or 10, and that at 11 or 12 it is the chief type of the children's illustrations. Rouma 2 made a similar test to satisfy himself of the true worth of Levinstein's conclusions. Rouma had the story of the Petit-Poucet related to the children as the scenes were shown by the cinematograph. He found that the Erzahlungs- bilder gradually displaced the Fragmentbilder in the children's illustrations according to the in- crease in age, but that it occurred at an earlier 1 Levinstein, Op. cit. 1 Rouma, Op. cit., p. 150. ANALYSIS OF THE DRAWING PRODUCT 73 age than Levinstein had found. In addition he made a very significant discovery by asking some of the children who always drew Fragmentbilder to act out the story. He found that they could act out all of the scenes in complete detail. He then had them draw again, but they were unable to make other than the fragmentary illustrations. The fact that the children knew all about the story, but could not make the drawings, shows that the type of drawing does not indicate the child's knowledge. His physical behavior, there- fore, does not depend upon clear visual images of the scenes of the story. II. Stages in the Development of Drawing. We have seen that it is possible to distinguish a number of developmental periods in the mastery of graphic representation. The earlier students of children's drawings mark out three distinct per- iods in the growth of the normal child. Burk, 1 for example, states that: "The progress of a child learning to draw is roughly divisible into three periods. "1. A period in which the movements are wholly muscular and are unguided by the visual centers in any degree; roughly, this period is that of the second and third years. "2. A period roughly between the fourth 1 Burk, The Genetic versus the Logical Order in Drawing, 1902, p. 321. 74 THE PSYCHOLOGY OF DRAWING year and the ninth or tenth, characterized by the first beginning of crude representation and slowly proceeding toward an interest to accur- ate drawing of objects as they are actually seen. "3. A period beginning with an interest in accurate representation of what the eye sees to the exclusion of associated ideas." The more recent analytical and biographical studies render it possible to characterize the development of drawing in greater detail. Both objective and subjective, standards determine the delimitation of the individual developmental periods. The objective point of view dominates the following differentiation. (After Kerschen- steiner and Meumann.) 1 . P re-experimental Stage. The separate parts of the objects drawn are merely placed side by side. The little drawer represents his father or mother by placing the principal parts of their bodies side by side. The child does not really draw; he tells, describes, counts up what he knows. He has grasped the idea of graphical expression and seeks for a new form of expres- sion and communication. This stage extends nearly to the fourth year. 2. Stage of the Schema. The drawing is schematic. The child's outlines of animals and various objects are not visual representations, but are symbolic reproductions of what the child knows. He does not attempt to show accurate details; is satisfied with rounding con- tours. The same or only slightly changed ANALYSIS OF THE DRAWING PRODUCT 75 schema serves for a man or a woman. The animal schema is a man laid horizontally, with four legs added. The laws of opacity, per- spective, and space relations are not recog- nized. The child shows both exterior and interior of a house in the same drawing. 3. Stage of Beginning Appreciation of Line and Form. The child makes his first attempts at coherent visual representation, but the imitative appearance still contains schematic features. This stage begins about the seventh year with gifted drawers, much later with the untalented, or is never reached. 4. Stage of Representation According to Ap- pearance. The schema disappears from the drawing. The form of the representation is determined by the appearance of the object. The drawing is in outline; it makes no attempt at the reproduction of tri-dimensional space. Beginning with the eleventh year, a conspicuous percentage of children cultivate a number of means of representation of depth and plastic- ity. This introduces the final stage. 5. Stage of Representation According to Tri- dimensional Form. The depth and plasticity of objects are now shown by means of proper regulation of light and shade, perspective, and foreshortening. This is the final stage, typical of the highest development of drawing. Many drawers do not reach this stage. The subjective standards of delimitation are based upon the development of individual chil- dren. Luquet's biographical study indicates that 76 THE PSYCHOLOGY OF DRAWING all individuals pass successively through four ages or phases of drawing. 1 i. Involuntary Drawing. The child has per- ceived that the drawings of others represent objects and that he is able to trace lines for himself. He does not realize, however, that he can represent similarly with his own lines. He notes the accidental similarity of his drawings after he has made them and then calls atten- tion to "his" drawing. It is not yet an inten- tional creation. 2. Synthetic Incapacity. The child deter- mines to represent the visual appearance of objects. From then on he varies only in his manner of expressing realism. In this stage he is overcome by diverse obstacles, the chief of which is his synthetic incapacity to assemble the different details which have gained his at- tention into a coherent whole. 3. Logical Realism. This age is character- ized by logical realism. The child deliberately attempts to reproduce not only what he is able to see of an object, but all there is. He gives a typical form to each part. 4. Visual Realism. In this stage the child arrives at visual representation, submitting with more or less lack of skill in execution to the principles of perspective. He has arrived, as far as drawing is concerned, to the period of the adult. The stages of graphic development are not a result of a completely independent development 1 Luquet, Op. cit., p. 225. ANALYSIS OF THE DRAWING PRODUCT 77 of the child ; imitation and teaching must be taken into consideration as adding or even interfering with the natural gifts. It is very possible to de- limit stages which show the degree of conformity to the ideals of instruction. 1 Thorndike 2 has constructed a scale which attempts to measure a child's achievement in drawiig. The scale is composed of fourteen typical drawings taken from Kerschensteiner's Die Entwickelung der Zeich- nerischen Begdbung. The fourteen sample draw- ings range in merit by approximately equal steps from o up to 17. The drawings of a child or of a class may be compared to the sample drawings of the scale and the degree of achievement estimated accordingly. Becterew 3 gives a list of ten objective character- istics by which children's drawings may be judged. The list includes such factors as the degree of regularity of lines, relative complexity, degree of imitation, time required for observation, coherence of related events, completeness of execution, creative power, permanent and temporary indi- vidual peculiarities. Whatever pedagogical values are derived from an analysis of the stages of drawing must take 1 See Stiehler, Psychologie und Methodik des Zeichenun- terrichts, pp. 18-21. a Thorndike, The Measurement of Achievement in Draw- ing, 1913. * Becterew, Objektive Psychologie, 1913, p. 392. 78 THE PSYCHOLOGY OF DRAWING into consideration the individual child as well as the group. The individual child not only is likely to differ markedly from other children of his own age, but is variable in his own develop- ment. Periods of regress to former stages are frequent. Old schemas which have been dis- carded in favor of visual representation reappear for extended periods of time. The situation is further complicated by the common appearance of mixed stages in which the drawings of the child have characteristics from both earlier and later stages. Disposition, mood, and physio- logical condition affect the type of drawing. If interested and animated, the child uses one type of representation; if distrait or fatigued, another type. The calm, logical, positive child draws more exactly and talks less; the brilliant, imagina- tive child sketches freely and supplies the details orally. 1 As Luquet 2 says: "The theoretical distinction which we have indicated among the four ages of drawing is, in fact, much less sharp; each period is prolonged after the following period has commenced; in particular, not only with the child, but equally with the adult, more or less sporadic traces of logical realism persist in the drawings of indi- viduals who have arrived consciously to the phase of visual realism." 1 Rouma, Op. cit., p. 134. 2 Luquet, Op. cit., p. 228. ANALYSIS OF THE DRAWING PRODUCT 79 III. Drawing as a Form of Language. The statement that "drawing is not an art for children, but a language" 1 is found in some form in practically every work on children's drawings. The earlier studies as usual give more attention to groups than to individuals. The following frequently quoted comparison is from Lukens: 2 "The development of drawing should show the same stages as the development of speech — suggested as follows: Speech 1. Automatic cries and re- flex or impulsive sounds. 2. Imitation of sound, but without meaning; child bab- bles back when addressed. 3. Understands words, but does not speak beyond such words as "mama," "papa," etc. 4. Repeats words as mere sounds when they are said to him. 5. Uses words to express his thoughts. 6. Studies grammar and rhetoric. Drawing. 1. Automatic and aimless scribble. 2. Scribbling localizations and imitation of movements of other persons' hands. 3. Understands pictures, but does not draw beyond the simplest localization of features by scribbling. 4. Copies from others to see how to get the right ef- fects in the use of lines. 5. Picture-writing, illus- trated stories, scenes, etc. 6. Studies technique of drawing, perspective, pro- portion, shading, etc. 1 Levinstein, Kinderzeichnungen, 1905. a Lukens, A Study of Children's Drawings in the Earlier Years, 1896. 80 THE PSYCHOLOGY OF DRAWING It is undoubtedly true that the first two stages mentioned above have a common basis in the impulses of play and imitation. From this point on the comparison loses its significance, because the characteristics given to the last four stages of drawing are not typical of its genetic development. The biographical studies of Luquet 1 show that during this period the development of drawing is characterized by the method of "expressing real- ism." Language, on the other hand, tends to become more and more abstract. 2 The child's free drawing is always individualistic, while his language is dominated by social convention. In the earlier stages there are many parallels between the two forms of expression. In the later stages drawing diverges in one direction toward the con- crete, while language diverges in another toward the abstract. This may be illustrated by refer- ence to studies in the racial development of draw- ing. Haddon's 3 biological study of the evolution of drawing shows that: "There are certain needs of man which appear to have constrained him to artistic effort; these may conveniently be grouped under the four terms of Art, Information, Wealth, and Relig- ion. 1 See previous section. a Meumann, Experimentelle Padagogik, II, p. 693. 8 Haddon, Evolution in Art, 1914. ANALYSIS OF THE DRAWING PRODUCT 81 "Art. — Aesthetics is the study or practice of art for art's sake, for the sensuous pleasure of form, line, and color. "Information. — In order to convey informa- tion from one man to another, when oral or gesture language is impossible, recourse must be had to pictorial signs of one form or another." Here it is seen that drawing serves as a language when its chief purpose is primarily to convey information. Let us note what happens in the development of pictorial signs as a form of lang- uage. Haddon 3 gives the following stages: 1. Pedographs. Pictures or actual repre- sentations of objects. 2. Ideograms. Pictorial symbols, which are used to suggest objects or abstract ideas. Phonograms. Graphic symbols of sounds. 3. Verbal Signs, representing entire words. 4. Syllabic Signs, which stand for the articu- lations of which words are composed. 5. Alphabetic Signs or Letters, which repre- sent the elementary sounds into which the syllable can be resolved. The development proceeds from the individual and concrete to the conventional and abstract. The pictograph is the individual's own representa- tion of the salient features of some object; the ideogram and the phonogram still carry something of visual appearance, but have become conven- tionalized by social repetition, while verbal, syllabic, and alphabetical signs have lost all 82 THE PSYCHOLOGY OF DRAWING semblance of visual representation. "The less the picture became like what it was intended to represent, the more useful it became as a means for conveying thought." 1 Contrast with this the development of the child's drawing in our present social organization. (After Luquet and Kerschensteiner.) 1. Synthetic Incapacity. Graphic juxtaposi- tion of what the child knows. 2. Schemata. Symbolic representation of what the child knows. Conventionalized and generic. 3. Visual Coherence. Imitates individual ap- pearance, but contains schematic features. 4. Two-dimensional Representation. Visual representation which lacks perspective. 5. Visual Realism. Perfect visual represen- tation of the individual object. The entire trend of drawing as representation is from the general and abstract toward the specific and concrete, just the opposite from the develop- ment of drawing as a form of language. It is evident from the above that drawing is most like language at the second stage, when symbolic or generic drawings are the rule. Luquet 2 questions the advantage of the achievement of artificial education in substituting visual for logical realism 1 Haddon, Op. cit., p. 221. 2 Luquet, Les Dessins d'un Enfant, p. 247. ANALYSIS OF THE DRAWING PRODUCT S3 in drawing. The drawing which permits the exhibition of a series of facts in a condensed theater of action deserves serious consideration before being discouraged. It is undoubtedly true that the emphasis of our education upon the visual in drawing has dis- couraged children from continuing their efforts at logical drawing. It remains only in the incidental construction of the analytical drawing. It is here that drawing continues to parallel language. Analytical drawing is characterized by logical and generic representation. This fact is of importance to our consideration of laboratory procedure; it suggests why analytical drawing and description are relatively interchangeable and why either of these devices is preferable to representative draw- ing. Drawing presents its parallels to language before it yields to the domination of visual reality. Rouma 1 has made a detailed study of this early period of the child's life with reference to the drawing-language. He describes four general tend- encies which, with considerable individual varia- tion and complexity, appear in chronological order. A summary follows: 1. Indicative Tendency. The child makes a mark and indicates orally what it means. Each sign stands for some unit in the total drawing. 1 Rouma, Le Langage Graphique, pp. 131-154. I THE PSYCHOLOGY OF DRAWING The child draws a man and as she marks says, "This is the nose," "Here is the mouth," etc. Visual representation is entirely lacking in the pure type. The lines do not exteriorize, but seem to fix the characteristics in the mind of the child. 2. Descriptive Tendency. Visual representa- tion enters into the drawings. The general form is greatly simplified, but fairly exact and the parts are relatively in proper position. The representation is semi-ideographic and shows in a descriptive way what the child knows about the object. 3. Narrative Tendency. The child draws a number of diverse characters and representations which he unites into a story by oral comment. The drawings are partially indicative, but the child comprehends their representative value. In the earlier stages of this tendency oral state- ment plays the leading part ; later it is used only to unite the various scenes of the story. The drawings are general in character, the details being expressed orally. The individual draw- ings frequently are distinguished by a single characteristic attitude. The drawings seem to exteriorize the story and facilitate the narra- tive. 4. The Drawing-Language at Its Height. Bet- ter technique and more sustained attention favor the composition of scenes. The child becomes animated. He speaks in a high voice. He completes the imperfections of his drawing orally, by gesture, by facial expression. His characters speak, move, have life. The indi- vidual lines have greater representative value, ANALYSIS OF THE DRAWING PRODUCT 85 but there is a distinct tendency to simplify the drawing as a whole. The non-useful de- tails are reduced, while the characteristic fea- ture is frequently exaggerated. The child tends to conventionalize his drawings by progressive simplification when he uses the same charac- ters in successive scenes. Chapter V STUDIES IN THE ANALYSIS OF THE DRAWING ACT The analysis of the drawing product given in the preceding chapter calls attention to individual variations in the drawing ability, but fails to ex- plain the causes of difference. The present chap- ter gives a review of the results of recent attempts to make such an explanation upon the basis of an experimental analysis of the drawing activity. I. Analysis of the Act of Drawing {Albien 1 ). The complete act of drawing is composed of two major processes which are quite distinct. It consists of an optical-perceptual process and a motor-graphic part, each of which is composed of subordinate partial processes. In the optical- perceptual process the eye receives the sensory stimuli from the object in view and the mind assimilates the perceived impression on the basis of previously acquired experience with similar sensory material. In the motor-graphic process the hand is set in motion to reproduce the per- ceived and more or less worked over visual image of the original object. The partial processes which enter into the optical-perceptual part of 1 Albien, Behalten und Wiedergabe einfacher Formen, 1907. 87 88 THE PSYCHOLOGY OF DRAWING the drawing activity show the following char- acteristics: i. Purely Optical Process. This includes the fixation of the eye upon the object and the imaging of the object upon the retina. 2. Sensational Process. This embraces the pas- sive taking in of the specially disposed sensations of brightness, color, surface distributions, etc. It may also include the sensations of accompany- ing eye and hand movements. 3. Awakening of Percepts Which Tend to be Present and Apperception. The previously ac- quired percepts of similar sensation complexes which are at hand become actual. The object is grasped in consciousness, recognized, identified, and interpreted as the particular object present, 4. Assimilation. These apperceived ideas (3) assimilate immediately with the passively taken in impressions (2), causing them to become active in consciousness. 5. Secondary Reproduction of Earlier Associa- tions. Reproductions of formerly acquired con- cepts and judgments of similar appearing objects enter the mind. The conceptual activity devi- ates somewhat from the object present and other ideas enter the mind and assimilate with the objective impression. These related ideas may fuse unconsciously into our interpretation of the perceived object, or they may assume a free rela- tion which leads to reflection by contrast and com- ANALYSIS OF THE DRAWING ACT 89 parison and ultimately to our highest understand- ing of the object. 6. Preconceived Observation. The five partial processes just defined are all modified by the or- iginal purpose of the observation of the object. If the purpose is to make a complete and thorough examination of the object, the activity of each of the elemental processes will be markedly different than if the making of a mere sketch be in mind. Through the preconceived purpose the whole process of perception is given a particular direc- tion, while from the countless number of possible concepts which rise in consciousness a definite selection is made. Attention directs itself pre- dominantly to that in the object which is in ac- cord with our purpose, whether we are conscious of its deviation or not. 1 Such are the partial processes of the optical- perceptual part of the drawing act. Similarly, the motor-graphical part of drawing is composed of subordinate elements. The hand is controlled by three chief factors. 1. Direction by the Optical Image. When the drawer looks away from the object of observa- tion (and always, of course, when he is drawing from memory), his hand is guided more or less by the visual image which is retained in memory. This is, moreover, always an inwardly worked 1 Judd and Cowling, Studies in Perceptual Development, Psychological Review, 1897. 90 THE PSYCHOLOGY OF DRAWING over image, subject to the influence of any one or all of the optical-perceptual partial processes. Some drawers examine the object carefully for several moments, study it more or less analytically, then draw from the retained image without further looking at the object. Other drawers revive their waning image by frequently recurring glances at the object. 2. Kinesthetic Control. The hand is controlled in its particular movements by the immediate kinesthetic sensations and by images of previous sensations. Previous experience in drawing sim- ilar lines gives the needed muscular control. The kinesthetic images of the eye or hand movements made during the period of observation may also share in the subjective control of the hand. 3. Control by Watching Results. The appear- ance of the developing drawing is used as a means for conscious comparison with the appearance of the original object. The wayward lines are cor- rected or directed accordingly. It is important to note, as Albien has empha- sized, that the preceding optical-perceptual pro- cess of drawing varies individually in its composi- tion, its components, and the significance for the whole process. With one individual analytical observation is partial and inexact. Another ob- serves but few details, but observes these details minutely. One individual quickly gives over to the play of his secondary associations or reflec- ANALYSIS OF THE DRAWING ACT 91 tions, while another adheres more closely to the given objective impressions and makes but little individual interpretation. As with the individual behavior of the percep- tual part of the act of drawing, so are the indi- vidual processes which control the hand. With one drawer the hand is guided more by the visual image, while with another it is guided by the assistance of the imagination or reflection. With one individual the hand follows point by point the exact analytical observation of the object. With another it follows the schema acquired from some similar object. Finally, with indi- viduals of strong motor inclination, the motor images of the eye or hand movements may equal or for a time predominate over the visual image. These general considerations of drawing which rest upon experimental analysis show that correct- ness and originality in the execution of drawing may depend upon extraordinarily varied factors. It now remains to discuss the manner in which these partial processes act together in different individuals. Individual drawers may be classi- fied by the difficulties which they encounter in the act of graphic representation, or by the gifts, which they possess for successful drawing. II. Perceptual Development {Judd and Cowling 1 ). Judd and Cowling 2 find that subjects attempt- ing to reproduce a simple figure after an exposure x Op. cit. 2 See Chapter II for method. 92 THE PSYCHOLOGY OF DRAWING of ten seconds exhibit two types of perceptual development. One type gets an early mastery of the general form and a later mastery of the de- tails. The second type begins immediately to master the details of the figure to the temporary neglect of the general form. This same experi- ment gives striking evidence of the complexity of the perceptual process and of the variations existing among different individuals. It is very significant that repeated exposures and continued analytical study is necessary before the percep- tion of a simple figure is mastered. Correct temporary memory of one part of the figure be- comes vague when attention is directed to another part. III. Drawing Types (Albien 1 ). Albien's carefully conducted experiments 2 indi- cate that wide variations exist between individual drawers, who tend to approach more or less closely one of two sharply distinguished extreme types. i. Visual Type. Appears in many gradations according to the share played by apperception. This type has a clear visual image and holds more to the direct objective impressions. There are two chief sub-types: (a) The subject perceives a clear visual image, but permits apperception and associa- x Op. cit. 2 See Chapter II, ANALYSIS OF THE DRAWING ACT 93 tion to enter little or not at all into activity. The image is therefore transitory. The subject may be a good copy drawer, but fails to draw well from memory. (b) The subject has a clear visual image. He assimilates the impression and seeks through analysis and subsequent synthesis to make the impression conspicuous. This subject is a good drawer. 2. Constructive Type. The subject has a visual image which is but little imprinted. He depends upon reflection and subjective construction for the (memory) drawing. The original image is altered in the drawing. The success of the draw- ing depends upon the subject's mental power for correct association and reflection. If not accom- panied by analytical observation, the drawing is a failure. Samples of the above types may be shown by giving the reactions of several of the subjects of Albien's research. 1. Extreme Visual Type. Franz G., 9 years. Ranks 29 in a class of 49. Very lively, enters into the experiment with great zeal. Attempts to draw a figure which has been exposed ten seconds with his eye held upon the fixation point in the center of the figure. Interesting to observe how he stops abruptly after the first stroke and draws no further. "The image has disapppeared." He draws with rapid, precise strokes. He observes 94 THE PSYCHOLOGY OF DRAWING a figure at his leisure, then draws it from mem- ory. Says, "The image hangs in my head." He retains the "whole image" very well. Num- erous objects such as a barometer, vase, kaleido- scope, etc., are exposed for ten — fifteen — twenty- five seconds. Franz retains the characteristic form and draws it without reconstruction. Looks often in the distance while drawing. Subject is markedly visually gifted and does not help himself through construction. 2. Constructive Type with Some Visual Endow- ment. Paul T., 9 years. Ranks 5 in a class of 49. Gives precise answers to all questions. "I cannot do that." "I do not see sufficiently for that." Thinks long before he begins to draw (up to two minutes) ; then draws slowly, but with rapid, precise strokes. For one memory drawing he observes 170 seconds; for the other two, relatively a short time. During the draw- ing from the model his eye wanders back and forth. During the study he makes automatic movements with the hand. Sees resemblances in the forms of the copy to objects with which he is familiar. He is an example of the con- struing type who helps himself considerably by his knowledge. He declares, "he marks how the lines and strokes lie." The drawings are good. 3. Extreme Constructive Type. Karl Sch., 15 years. First in general intelligence in a class of 43- ANALYSIS OF THE DRAWING ACT 95 The performance of this pupil with good intel- ligence (first of forty-three) is poorer than that of many younger children with weak intelli- gence. In the drawing after fixed seeing he first gazes in the distance. One can see from the movements of the muscles of his eyes and forehead that he is meditating. Upon ques- tioning he states that he is reflecting upon the relations. He does not succeed with the mem- ory drawing; an argument that he has no visual image and that his mental power is unable to supply the deficiency through reflection. When he makes the drawing from the model he draws precisely and in a shorter time. Upon ques- tioning he says that he forms the drawing by combination of the separate parts, reflects on the relations, and thinks of similar appearing objects. Makes four successive attempts to draw the same figure after ten-second exposures with eyes on a fixation point. Fails each time. The subject is of the constructive type with weak optical endowment. Albien compared his subjects by means of tachistoscopical reading tests with Messmer's objective and subjective reading types. 1 He Objective Type Subjective Type 1. Rigid fixation. 1. Fluctuating attention. 2. Relatively small scope of 2. Relatively large scope of attention. attention. 3. Attention directed to 3. Attention directed to in- periphery. terior. 4. Objective fidelity. 4. Subjective interpretive tendency. 1 Messmer, Zur Psychologie des Lesens bei Kindern und Erwachsenen. 96 THE PSYCHOLOGY OF DRAWING announces marked similarities between the visual drawing type and Messmer's objective type, and between the constructive drawing type and Messmer's subjective type. The German word kriegfiihrenden was exposed successively by means of a tachistoscope for a fraction of a second. The subjects endeavored to write the word, or as much of it as possible, immediately after each exposure. The results follow: Paul E., Constructive Type. Franz G., Visual Type. -kriegfiihrenden- I. kriegfordern i- -g 2. kriegfahren 2. -r.g.- 3- kriegfordern 3- -fur- 4- kriegfordern 4. -fiir.r- 5- kriegfarchen 5. kr.-fu- 6. kriegfiihren 6. kr-g- 7- kriegfuhren 7. -fiihr-en 8. kriegfarchen 8. h-g fiihr-k 9- kriegfnrchen 9. krieg- 10. kriegfurden 10. krieg-r ii. kriegfiireln Thinks he can make 12. kriegfahrnden nothing further out 13- kriegfarden of it. 14. kriegfuhren 15- kriegfiihrenden Albien insists that thorough observation does not depend upon objective exactitude alone, but rather upon the relation set up between the objectively given impression and the conceptual ANALYSIS OF THE DRAWING ACT ctf assimilation which follows immediately. If the associations and ideas which come about by re- flection crowd out or misconstrue the objective impressions, the resultant percept and eventual drawing will be faulty and untrue. Thus the pure constructive type gives himself over too soon to subjective interpretation without at first seeing clearly. The pure visual type permits his com- prehension to be circumscribed by the objective characteristics of the object so that he fails to perceive it in the light of his previous knowledge. The best type of observation for purposes of drawing (or, as we shall emphasize later, for purposes of scientific interpretation) is based upon a proper union of objective seeing and subjective contemplation. IV. Difficulties in Drawing (Meumann 1 ). A large share of present literature takes the common point of departure that difficulties in drawing arise from two causes. The poor drawer cannot see correctly, or he fails in skill of hand. Meumann calls attention to the fact that he has found individuals who possess excellent sight and great skill of hand who cannot draw. Meumann gave a number of experimental tests 2 to determine the causes of individual variation in drawing. He found many causes for poor drawing and a number of types of drawers. 1 Meumann, Experimentelle Padagogik. * See Chapter II. " 9§ THE PSYCHOLOGY OF DRAWING The "seeing" of most men who are not painters or drawers by occupation is in no manner an analyzing and discerning seeing. 1 The object of their seeing is not that of making themselves reliably trustworthy with the form and colors of objects, but at best only to recognize the things, to connect the objects with the words commonly used in naming them, or to learn to know with certainty the characteristics of things needful for the practical employments of life. Few realize how inaccurate is their knowledge of the form and color of the most familiar objects. Ask them to draw a postage stamp or the picture of a friend from memory, and they assert that they know the thing sufficiently, but cannot draw it. Chal- lenge them then to describe the appearance of the stamp, and for the most part, to their sur- prise, they fail lamentably. What is the cause of these failures? This question may be best answered by presenting a list of the difficulties found in memory drawing. It should be noted here that the memory is involved in drawing even when the object is in sight. The drawer must keep the mental image in mind at least while actually drawing. He, of course, keeps the mental image from disappear- ing or changing greatly by constant return to the object. Unless he can get the general outline of 1 Meumann, Op. cit., p. 719. ANALYSIS OF THE DRAWING ACT 99 the object fairly well imaged and retained in memory, he is very likely to have the not uncom- mon difficulty of being unable to make the de- tailed parts of his drawing fit into a uniform whole. The following difficulties come to light most clearly during attempts at memory drawing. 1. The will to see analytically has not been aroused. In the case of most drawers who have never received drawing instruction, the will for careful notation of the specific form and colors of things is not present. 2. In spite of the will to see analytically the drawer cannot make a correct analysis. He lacks the power of discrimination between the gen- eral setting and the minor details. 3. Defective visual memory images. The drawer has a deficient sense of form, particularly as to indistinctness and incompleteness. Despite exhaustive observation, he retains no definite visual memory of form, color, or space situations. 4. Lack of ability to hold the visual memory image in attention while drawing. When the drawer turns his attention to the act of drawing, the mental image becomes dim or disappears entirely. 5. Lack of co-ordination of the visual image with the execution of the drawing movements. The drawer cannot guide the hand according to the dictates of the visual image. loo THE PSYCHOLOGY OF DRAWING 6. The memory image is disturbed by the sight of the beginning drawing and by the incon- gruity between this and the design existing in the imagination of the drawer. This is common with unpracticed drawers. 7. The lack of acquired drawing designs (sche- mata). The trained drawer acquires a mass of schemata by which he can produce a schema of an animal, a flower, or a house, quickly upon paper. This serves as a support for the representation of his memory images and he gradually modifies the schema until it corresponds to that which he would express. Many drawers who are deficient in schemata and can draw well from another drawing cannot draw from an object. 8. Lack of dexterity or skill of hand. The drawer is unable to make a straight or curved line satisfactorily. 9. Lack of knowledge of the projection of tri- dimensional space upon a flat surface. 10. Defective artistic sense interferes with the individualistic aesthetic treatment of drawing. 11. These defects may be found in different combinations in different individuals. 1 V. Types of Retention (Meumann 2 ). Finally, we may examine certain types of re- tention in drawing. No two individuals are 1 Meumann believes that 2, 3, 4, and 5 are defects of nature and that the others are due to training. 2 Op. cit. ANALYSIS OF THE DRAWING ACT 101 exactly alike, but it is possible as well as profit- able to describe a number of characteristic types of retention in drawing. Whether we are inter- ested in drawing from the aesthetic, the repre- sentative, or the scientific point of view, accurate knowledge of the type of retention of the pupil is of the greatest importance. The following analy- sis is based upon Meumann's experiments with eleven adults. 1 1. The completedly untrained drawer. The subject has few drawing concepts and shows con- spicuously that a certain knowledge of the pure technique of drawing, regardless of all endowment, is necessary. Some idea of the manner of repre- sentation is necessary before an actual "drawing" can be produced. The subject draws a pure schematic sketch and cannot represent other- wise. This type of drawing resembles that of many young children and that of primitive peoples. 2. The subject (drawing from memory) supports himself exclusively by the image of the object without supplementing this by additions accord- ing to his knowledge or conjecture. The drawing is incomplete, but rests upon absolutely pure visual retention. 3. Similar to the preceding type, save that the image is supported by knowledge and reflection. x See Chapter II. 102 THE PSYCHOLOGY OF DRAWING If the perspective course of the lines is not clear in the visual image, it is reconstructed in thought. 4. This type has such a weak visual memory that he yields completely to reflection and con- struction of the object. 5. The subject possesses numerous drawing schemata. He knows objects similar to the object and for the most part works with them. Thus he does not represent the individual character- istics of the original objects. His drawing tech- nically is very complete. (It seems that profes- sionally trained drawers incline to this type of retention.) 6. This type, like the child, gets a completed schema at once from the object. It is, however, generic, not specific. He draws a general cigar box, not the one before him. 7. The specifically artistic type. He charac- terizes his drawings through a habitual leaning to the artistic working of the object. He seeks upon this basis to get a certain aesthetic effect out of the object. This tendency may show itself in unskilled drawers and is relatively independent of skill of hand and acquired schemata. 8. Finally, is the subject who draws better from memory than after the model. He depends upon his numerous visual memory images. He has formed the habit of impressing himself with the ANALYSIS OF THE DRAWING ACT 103 visual appearance, or he possesses that exceptional "adventitious retention" in high degree. Karrenberg 1 found that children of nine and ten years of age under the influence of systematic training were enabled to double their ability in representative drawing. 1 Karrenberg, Der Mensch als Zeichenobject, 1910. PART III EXPERIMENTS AND CONCLUSIONS Chapter VI THE EXPERIMENTS Attention was called in Chapter I to the fact that laboratory work in science teaching has three aims: the observation of material, the making of records, and the retention of learning, and that it furthers these aims by three devices: represent- ative drawing, description, and analytical drawing. The determination of the character of the various interrelations of these factors, and the psycho- logical analysis of drawing were set as the prob- lems for ultimate solution. The intervening sur- vey of the literature of drawing has been devoted to the psychological setting of these two prob- lems. The present chapter will present a series of special experiments which have been organized to complete the analysis of the various factors of laboratory teaching. Experiment I. Representative Drawing, Description, and Diagrammatic Drawing. i. Problem. To evaluate the correlation be- tween ability in representative drawing and abil- ity in description and diagrammatic drawing. 2. Method of Procedure. The special tests used for this problem were selected after numerous pre- liminary trials which were necessary to adjust 107 108 THE PSYCHOLOGY OF DRAWING them to time limitations and to eliminate direc- tions which were liable to misinterpretation. It was necessary to select objects for the various tests which were approximately equally well known to the different subjects, which afforded a range of difficulty adapted to grading, and which could be finished at a single sitting. Test No. i. Subjects. 51 students in a first- year high school class in General Science. A turkey feather (see Figure 1) was selected for this test. It serves as a good object for draw- ing and description, while its finer structure is unknown and of sufficient intricacy to require a satisfactory amount of ingenuity for study and diagramming. Parts of the feather were mounted on microscopic slides and focused under a number of microscopes in such a way that the detail of the feather was equally manifest to each subject. The following preliminary statement was made to the class at the beginning of a regular laboratory period : "You will be given a test today to compare your abilities in drawing, description, diagram- ming, and laboratory analysis. The work will be counted as a regular day's work in elementary science, but, as different classes are to be com- pared, you are asked to do your best." Each pupil was then given a feather, pencil, rubber, paper, and a sheet of directions for the first part of the test. At the end of the given F s Figures I to IV. THE EXPERIMENTS III time the first records were collected and directions passed for the second part of the test. The four parts of the test were given in an eighty-minute period. All of the tests were given under my personal direction. The directions, which were given out one part at a time, follow: Part I. Drawing. (Materials: eraser, pencil, and drawing paper.) Write your name and the number of your feather at the top of the page of drawing paper. Place the feather in position as directed and make a careful drawing of it. (Time allowed, 13 minutes.) Part II. Description. (Materials: pen, ink, and ruled paper.) Write your name and the number of the feather at the top of the page. Without tearing or pulling the feather apart in any way, study it carefully and describe it so as to explain as much as possible about the feather to a person who had never seen one. (Time allowed, 12 minutes.) Part III. Dissection and Analysis. (Materials: same as II.) Write your name at the top of each page of paper used. Pursue carefully the following directions and answer the questions as they appear. Do not write anything except the answers. Examine the feather again and note that it is composed of a central axis or quill and an ex- panded, flattened part called the web or vane. The quill is divided into two parts: (a) the H2 THE PSYCHOLOGY OF DRAWING hollow, rounded, transparent barrel, which is the end of the feather that is attached to the body of the bird, and which has no attached parts, and (b) the shaft, which has the vane attached to its sides. Examine the surface of the vane with a lens and note that it is com- posed of a series of side branches of the shaft which lie closely parallel to one another. These side branches are called barbs. Question I. In what direction do the barbs run with reference to the shaft? (Time al- lowed, 10 minutes.) After having answered Question I, tear one of the barbs loose from the barbs in front of and behind it. Observe that it is similar to the one which has been mounted for micro- scopical examination. Examine the mounted barb under the low power of the microscope and note that the barb has a long, narrow body with two opposite rows of small, more or less united, branches attached to it. These fine branches of the barbs are called barbules. Note that the barbules in the row on the upper side of the barb have a number of smaller branches or out- growths, which gives the barbule something of a bushlike appearance. These smaller out- growths are called hooks, because some of them have little hooks at the end. The barbules in the row on the lower side of the barb do not possess these smaller branches. Taking the feather as a whole, then, there are in turn a shaft with barbs on either side; each barb with a row of barbules on either side and every upper barbule with a number of hooks. THE EXPERIMENTS 113 Question 2. If each of the barbules possess- ing hooks averaged 10 hooks each, how would you estimate the total number of hooks on a feather? (Time allowed, 10 minutes.) Having answered Question 2, pull two barbs apart slowly and watch carefully what happens. Examine the prepared mount of a section of the vane, in which some of the barbs have been partly torn apart. Examine the torn part and other parts of the vane in this mount under the low power of the microscope. Note again that the upper row of barbules terminates in clusters of hooks, while the barbules running back into them from the barb just ahead do not have the hooked branches. Question 3. Explain in detail how the barbs are held together. (Time allowed, 15 minutes.) Part IV. Diagram. (Materials: eraser, pen- cil, and drawing paper.) Write your name at the top of the page. Make a diagram (several, if necessary) show- ing the relative arrangement of the shaft, the barbs, the barbules, and the hooks. Label it carefully. (Time allowed, 15 minutes.) Test No. 2. Subjects. Group 1 : 48 university graduate students. Group 2: 50 university undergraduate students. Group 3 : 30 university undergraduate students. Group 4: 31 university undergraduate students. Total, 159. Test No. 2 is essentially a repetition of the parts of Test No. 1 which measure ability in represent- 114 THE PSYCHOLOGY OF DRAWING ative drawing and description. The single varia- tion is in the use of a different object for copy. Each member of Group I was given similar draw- ing materials and an object which was unfamiliar to his or her drawing and describing experience. The object was a small metal spring-clip (see Figure 2) taken from the stage of a compound microscope. The students were directed as fol- lows: Part I. Write your name at the top of the page of drawing paper. Place the object in the exact position as directed and make a careful drawing of it. (Time allowed, 7 minutes.) Part II. Write your name at the top of the page of drawing paper. Make a careful written description of the object. (Time allowed, 7 minutes.) The members of Groups 2, 3, and 4 followed similar directions, using different objects to copy. Each member of Groups 2 and 3 was given a flat, triangular, metallic object (see Figure 3) which will be referred to as the "tri- angle." Each member of Group 4 was given a small metallic sash-lift (see Figure 4). In every case one drawing and one description of the same object were made by each subject. 3. Methods of Scoring. As the validity of the correlation established between any two traits depends upon the accuracy of the original meas- urements, great care has been used to insure exact THE EXPERIMENTS 1 15 scoring of the results of these experiments. Ten competent markers co-operated in scoring the various tests. They first became thoroughly familiar with the various tests by taking them. They were then carefully instructed in the system of grading, and means were taken to insure de- liberate and painstaking work. It is believed that ten such judges are of greater value than a much larger number selected from a group of persons who are strange to the tests and more or less indif- ferent to the results. The procedure involved the ranking of the individual members of each group serially in order of the merit of their efforts. Thus it was necessary to discover which one of the 51 high school pupils was best in drawing, which one was second, and so on down to the poorest. (a) Method of Scoring Drawings. Each draw- ing was compared directly with every other draw- ing of the same group. At each comparison the drawing which was superior was graded '1,' and the drawing which was inferior, '2.' When all had been compared, the marks for each drawing were summed and the total recorded. This was done by each of the ten markers and the final total recorded for each drawing. Thus each draw- ing in a group of 50 was compared with the other 49 by ten different judges and received a final mark on the basis of 490 individual compari- ii6 21 I THE PSYCHOLOGY OF DRAWING sons. The drawing having the lowest total, i. e., the most grades of %' was ranked best; the one having the greatest total was ranked poorest, while the remaining drawings were ranked in between according to the size of their total score. The markers were instructed not to grade "ties," but at each comparison to grade one superior and the other inferior. This was not pro- ductive of any considerable difficulty and insured the use of greater discrimination on the part of the judges. It was found convenient to tally according to the score-card shown on page 117. The score-card exhibited here was prepared for a group of 30 drawings. In scoring, the drawings in this case were numbered 1 to 30. Drawing No. 1 was scored by comparison with each of the other 29. At every comparison the two drawings concerned were scored '1' and '2' in the squares opposite their numbers on the tally sheet. Draw- ing No. 1, having been compared with the others, was then laid aside and No. 2 compared with the remaining 28. No. 3 was then compared with the remaining 27, and so on until none remained. Thus the score-card registers individual compari- sons as well as totals and affords a complete record of all that was done. The score-card on page 118 shows the final rankings as given by the ten judges for this group. THE EXPERIMENTS 117 tOCtlflNH t^VD lO^M O \0 O VO O^OO rt- cN t^MOH O C300 00 t~» C\ C\ Th NNN M M CO M0» WMMWMMMWI-INCIMI-I mhhmn h( (HNhmhhnhhhhhhhhnm«hnn w HHNNH HH HHMNMM«HHHNHHHH«NN 0) M CN l-H MMNIHW M |_,MCNI-HC^MMCNl-tMHHIHIHI-4IHIHI-l N H (| CI H H WMP10>N|_iN M(V > l ~'N MM Nt-ll-(>-l>-tMI--IIHI-l CNMWNCNMII i-ii-iOCSlC^i-ii-it-iCSi-icMMMniHMiHCSNNN M«NWNC1«n mi-icNCNNihihihMi-inmmcNihihihmw hhNNNNNNNh HHMPlN H f|HWMNHHMHHHH N«mNNNNNNN« i-ii-iOCNCNmNWM'-iCNmmcNmmi-i NMNhN«nh((nnn MMNN«nci««HNtltlNN« NNNNNftMNNNNON mwnocNmcN | - | W m W | - , ^NM wMWOWNtNCNNNNOMN wi-iNNNNN'-'NiHtMiHNN HHNN«Hfl«NNNMN«N hhmn«hnhNhMh NhhhnnnnnNNNNNNNh i-iHNMNfiNHNHM NNNNHNNNNNNNNNNNNN MWW«N«NN« NNNMNNWWNN«MCIflW««M«« HH-hHCtMMMMM MNMMCNI-IWI-HI-ltHI-tMh-IIHI-lNMCNCNwP-l i-ii-icSWNi-iin CNwNCNONNWi-ioOMOMCNCNCNMMOPJtN WI-ICNWMlH Ht(HNHHNHHHHHNH«H«NNNNHH HM«NN NNNHWH«MHNH«flN«««Nf)NN«NN M M CI N MMI-lMl-lNMIHC^IHMIHMIHMMIHI-lOCSCNNC^MI-l H H N Mh-ll-lMOMMI-IIHMIHIHI-IHIIHIHMIHMOt»>HCMMC(M O WWCNNWNN M NNCNCNNNCN0INC40«NNC»C>I0IWC)CNCN HNNNflpiNNHMNNN«OINNNNM««N««NN«« w N rOTf-iOvO t^.00 0>0 h « tOrhiOVD f^oo 0*0 h n co^iOVO r^OO On O Ii8 THE PSYCHOLOGY OF DRAWING Sample of Final Score for a Set of 30 Sash Lifter Draw- ings Total Final No. TA KO SM PS LH HM LN HN AC AA Points Rank 1 31 35 32 38 36 39 32 33 37 38 35* 6 2 30 35 37 38 35 35 36 36 37 3i 350 5 3 53 43 30 37 34 45 51 43 32 36 404 " 4 49 48 54 50 45 50 49 46 50 53 494 23 5 48 49 45 55 48 38 46 39 54 48 470 19 6 35 3i 30 35 36 34 31 35 34 32 343 4 7 45 49 56 55 49 40 54 55 41 46 49° 22 8 34 31 34 41 30 29 33 30 33 40 334 3 9 5i 5i 50 47 44 45 46 45 50 50 479 20 10 29 35 37 36 33 42 34 36 41 30 353 7 11 58 58 58 58 58 58 58 58 58 58 580 30 12 34 33 44 33 33 33 43 34 34 36 361 8 13 39 40 47 46 43 36 40 37 45 46 419 14 14 54 55 49 48 53 50 5<> 54 53 49 515 26 15 37 38 39 4i 46 43 42 45 39 38 408 12 16 36 32 34 30 33 30 33 3i 31 35 325 1 17 32 41 43 39 41 37 33 40 42 40 388 10 18 41 40 36 36 37 42 35 39 41 37 384 9 19 41 46 46 45 47 51 50 45 46 42 459 17 20 45 42 38 32 50 51 49 33 39 54 437 16 21 42 42 41 42 39 40 40 41 41 41 409 13 22 40 41 46 36 50 43 45 37 49 41 428 15 23 47 52 42 54 38 49 51 53 39 43 468 18 24 51 48 53 5i 54 54 53 49 52 53 518 27 25 56 50 55 54 54 53 5i 54 55 54 536 28 26 47 29 31 29 29 31 30 46 30 30 332 2 27 55 56 55 55 54 5i 54 55 52 55 542 29 28 57 55 42 47 44 54 54 45 43 56 497 24 29 47 5i 5i 50 50 56 51 48 55 50 509 25 30 41 48 50 47 51 55 48 54 50 42 486 21 THE EXPERIMENTS 119 (b) Method of Scoring Descriptions. The de- scriptions were graded by the method of counting points which is ordinarily used in scoring Aussage tests. In this instance each point was weighted by the judge according to its clearness of mean- ing on a basis of "10" for "perfectly definite." A score of 12-98 indicates that the pupil has given 12 points of description with sufficient clearness of statement to total 98. The descriptions were then ranked according to total scores. Where ties occurred the method of intermediate ranking was used; thus, a tie at 22 and 23 was ranked 22.5. Each judge read all of the descriptions of a group before beginning to score. Each paper was then given a second preliminary reading, after which it was read a third time and scored by points. The final marks were determined by averaging the rankings of the ten judges. (c) Method of Scoring Diagrams. The 51 dia- grams of the structure of a feather were scored on the basis of a system of weighted points. One of the judges first ranked the diagrams serially ac- cording to the merit of their general appearance. To test the reliability of this ranking, a list of all the points which could be shown in a complete diagram of the feather was prepared. A second judge then ranked the diagrams according to the total number of points exhibited. The ranking which had been made upon the basis of general 120 THE PSYCHOLOGY OF DRAWING appearance was now compared with the ranking which had been made upon the basis of the number of structural points shown. The two rankings were approximately, but not exactly, similar. The discrepancies were taken into account and a new system of weighted points arranged which made allowance for the difficulty as well as the number of the points shown in the diagram. The list follows: Standard for Measuring Quality of Diagrams Characteristics Shown Credit 1. Barbs attached to one side of shaft I point 2. Barbs attached to both sides of shaft y£ " 3. Barbs shown parallel yi " 4. Barbs shown at a slant to shaft yi " 5. Barbs attached to all parts of shaft I 6. Barbules attached to one side of barb 1 7. Barbules attached to both sides of barb yi " 8. Barbules shown parallel yi " 9. Barbules at proper slant yi. " 10. Two distinct kinds of barbules I 1 1. Barbules intermingled 1 " 12. Barbules attached to all parts of barb 1 13. Hooks attached to barbule I 14. Several hooks on one barbule )4 " 15. Hooks on upper row only I 16. Hooks hooking over barbules at a slant I 17. Hooks on entire margin of row of barbules. . 1 Total possible score 13^ points Points labeled insufficiently are given one-half credit. Points labeled incorrectly are graded o. THE EXPERIMENTS 121 Attention is called to the fact that the standard is not used to measure ability in representative drawing. In fact, the diagrams for the most part look very little like the original feather. It is, in reality, a measure of analytical observation, for the diagram called for is an excellent example of what is described in the first chapter as "analyt- ical drawing." The pupil must have made the preliminary scientific analysis called for in the test directions before he can construct a successful diagram. As the particular test used requires a wide range of discrimination and considerable ingenuity in figuring out the structural plan of the feather, it serves most excellently for compar- ing the pupil's ability in analytical drawing with his ability in representative drawing. 4. Method of Determining Correlation. The pres- ence of correlation signifies that some definite causal relation exists between two series or groups of data. The mere fact that two coexisting con- ditions vary in the same direction does not imply true correlation unless one condition is the cause of the other or both are due to a third cause. But if it can be shown that there are common factors possible to two variables, a tendency, however small, for the variables to fluctuate constantly in the same or opposite directions may be taken as proof of an actual correlation. Thus the determ- ination of a small degree of correlation between 122 THE PSYCHOLOGY OF DRAWING any two traits or achievements of a group of school children at once assumes significance, because there is no question about the common factors of intelligence and training. The import- ant problem in this event is the elimination of all possibility of error in the method of finding the degree of correlation. (i) Correlation by the Rank Method. The most practicable method of determining correlation between abilities for which there is no standard scale of measurement is by the rank method. When the same group has been ranked in two abilities in the manner described above, the results offer data for direct comparison. Column A, Table V, shows how the 51 high school students (see Test No. 1) stood when ranked in order of ability in description. The pupil ranked 1 was best in description; No. 2 was second best; and so on down to No. 51, who was the poorest of the entire group. Column B shows the order of merit of the same group in drawing. By thus arranging the individual describers in a column in order, 1 to 51, and placing directly opposite the rank each received in drawing, we can get a general idea of the comparative ranking of the students in the two different abilities. Save in extreme cases, such casual comparison of the two columns will not be sufficient to ascertain satisfactorily the degree of correlation which may Table V Comparison of Abilities in Drawing and Description of 51 High School Pupils ABC ABC Rank in Rank in D or Dif- Name Descrip- Drawing ference tion in Rank Rank in Rank in D or Dif- Name Descrip- Drawing ference tion in Rank Brock Angel Klein Rose Bean Moraw Henry Glass 8 Mathew 9 Greve 10 Lawler 1 1 Cooper 12 Willet 13 Hogan 14 Bolte 15 Wilson 16 Keen 17 Heck 18 Foster 19 Ansorg 20 McKinn 21 Leap 22 Runs 23 Donald 24 Donker 25 Joseph 26 36 38 30 19 26 42 24 11 39 37 49 3 35 4i 5 33 12 43 27 17 32 48 40 10 34 2 35 36 27 15 21 36 17 3 30 27 38 9 22 27 10 17 5 25 8 3 11 26 17 14 9 24 (Continued from below) Pierce 27 Stone 28 Furth 29 Logan 30 Sully 31 Hagen 32 Vander 33 Cook 34 Virden 35 Lee 36 Ames 37 Lovel 38 Gamble 39 Jack 40 Tipton 41 Cutler 42 Adler 43 Hill Jacob Atty Agar "Knapp 48 Weber 49 Ingle 50 Cole 51 44 45 46 47 15 47 21 22 20 6 44 16 25 8 51 9 46 50 18 28 1 31 45 7 23 13 29 4 14 12 19 11 26 11 18 10 28 14 29 7 10 23 14 42 13 o 39 24 35 20 46 37 (Continued above) 51)1016 Average Rank Difference or Av. D. equals 19.9 Chance D. equals 17 r= — .271 P.E.r = .09 R = — .172 124 THE PSYCHOLOGY OF DRAWING be present. A number of significant possibilities lie bound up in data of this nature and the true one may be discovered only by careful study. (a) First Possibility. The more ability a per- son has in drawing, the more he has in descrip- tion. Then in a given test, barring errors in grad- ing, the student ranking I in drawing ranks I in description; No. 2 in drawing is 2 in description; and so on through the series. Such a correspond- ence is signified by saying that the correlation equals 1 or 100% positive. Such a correlation exists between the volume and the weight of water. The merest glance at Table V shows that such a correlation does not exist between abilities in drawing and description. No. 1 in description is 36 in drawing. (b) Second Possibility. The more ability a person has in drawing, the less he has in descrip- tion. No. 1 in drawing would in this case be 51 in description; No. 2 in drawing would be 50 in description; and the others similarly related. This type of correlation is said to be — 1 or — 100% negative. Such a correlation exists between the volume and the amount of pressure exerted by a given weight of gas. It plainly does not exist in Table V. (c) Third Possibility. The abilities in the two traits are in no way related, the obtained results occurring by mere chance. Such a result would THE EXPERIMENTS 125 be obtained, for instance, if the papers were graded as they happened to lie in order in the pile without reference to their contents. Results indicating such a relationship are expressed by saying that the correlation is indifferent or equal to 0. The factor of chance correlation is particularly signifi- cant when dealing with small groups and in any case must always be discounted before a seeming correlation can be used as a basis for proof or infer- ence. It will be necessary to examine our results more closely to determine if an indifferent correla- tion is present. (d) Fourth Possibility. There is a tendency more or less pronounced for those good in draw- ing to be good in description, or, on the contrary, for those good in drawing to be poor in descrip- tion. Such a tendency, depending upon its strength, manifests itself by a certain proportion of one group being good, or bad, as the case may be, in the other. According to the strength of the tendency it approaches plus 1, or +100%, if positive, or minus 1, or — 100%, if negative. A complete analysis of the results obtained in this experiment will be necessary to detect partial correlation. (e) Fifth Possibility. A certain selected part of one group is correlated with a certain part of the other group, while the rest of the group is indiffer- ently correlated. Thus the best ten in drawing 126 THE PSYCHOLOGY OF DRAWING may be very good in description, with all of the others in the group scattering. This type of correlation cannot be expressed by a simple co- efficient, but must be shown by tabulations or graphs of the entire series. The results of this experiment give no evidence of this type of cor- relation. It is evident that such terms as good, poor, fair, etc., secured from a brief inspection of compara- tive data do not indicate the amount of correla- tion with sufficient accuracy for scientific pur- poses. We have, therefore, resorted to more accurate methods of determining correlation. (2) Theory of Correlation. The fundamental factor in correlation, as shown by the rank method, is the relative position of the same individual in two series of rankings. For instance, Glass (see Table V), who ranks II out of 51 in drawing ability and 8 in description, differs in relative position by only 3 points, which indicates a high positive correlation. Adler, however, who is first in drawing, ranks 43 in description, differing in position by 42 points, which indicates a negative correlation. The rank differences, 3 and 42, are designated D, and serve as an indication of the tendency of correlation. A single D in a series of 51 D's indicates but little, for it may be due entirely to chance, just as the man who is first in wealth THE EXPERIMENTS 127 among 51 may by pure chance be either second or forty- third in weight. If, however, we obtain the average of the 51 rank differences, we shall have a figure which measures the degree of correlation present. This measure is the Average Rank Dif- ference, or, more simply, the Average D. In this series (see Table V, column C) the Average D is 19.9. The Average D due to pure chance is equal to one-third of the number of subjects in a series, in this case one- third of 51, or 17. This average is called the Chance D. It means that if a pupil's D is less than 17, it is likely that there is some com- mon factor which favors positive correlation; if the pupil's D is more than 17, it is probable that there is a common factor interfering with positive correlation and producing a negative correlation. If now we contrast the Average D obtained for the 51 pupils, 19.9, with the Chance D, 17, we must conclude that within this group there is a tend- ency for ability in drawing to interfere with ability in description. The degree of correlation is indi- cated by the amount of difference between the Chance D and the Average D, in this case 17 — 19.9, or — 2.9. This sum is not large enough to be par- ticularly significant with as few as 51 subjects. As a matter of fact, it is reduced by the results of the other series. For a rapid and accurate method of ascertaining the presence of correlation in a series of pairings approximating 50, the author recom- 128 THE PSYCHOLOGY OF DRAWING mends the foregoing method. Reduced to formu- lae, we have the following: Average D = ^^; Chance D = |; in which S is the symbol for summation, D is the numerical difference between each corresponding pair of ranks, and n is the number of pairs. If the Average D is found to be within the range of •f ± 2, there is no evidence of significant correla- tion. To find the numerical value of the correlation, the following formula may be used: This quantity should be doubled if negative, which will obviate Lehman and Pederson's criti- cism given to Spearman's "Foot-Rule" method. This formula will give almost identically the same results as Spearman's: « 2 — I in which g equals the numerical gain in rank of those individuals who made a gain in the second series over the first. Correlation may also be computed by the "Pearson Method Adapted to Rank Differences," which gives more weight to the large D's. The formula, in which r is the degree of correlation, is: 65(Z? J ) r = I ; n (n 2 — i) THE EXPERIMENTS 129 Provision is made for variation due to chance by use of the formula : (1— n 2 ) P.E.^.7063 ^7=^- v n If r is no greater than P.E., there is no indication whatever of correlation. If r is greater than 3 P.E., the chances are 16 to 1 that an actual cor- relation exists. The correlations obtained by both the Spear- man and Pearson methods are given in the follow- ing results. The variations between them are without particular significance for these experi- ments. 5. Results and Conclusions. (a) Correlation between Drawing and Descrip- tion. The individual positions of the 51 high school pupils, and the group correlation between abilities in drawing and description are exhibited in Table V. Tables VI and VII show similar data for the group of 48 graduate students. Table VI shows the description in serial arrangement with the corresponding ranks in drawing. Table VII compares the descriptions to the drawings in serial order. Tables VIII and IX exhibit the cor- relations of the three remaining groups of students. Table VI Comparison of Abilities in Drawing and Description 48 Adult Students ABC ABC Rank in Rank in D or Dif- Name Descrip- Drawing ference tion in Rank Rank in Rank in D or Dif- Name Descrip- Drawing ference tion in Rank Cragun 1 7 6 Russ 2 32 30 Hughes 3 18 15 Hosmer 4 6 2 White 5 20 15 Carr 6 16 10 Geilen 7 27 20 George 8 36 28 Ganard 9 22 13 Wagner 10 25 15 Hubb 11 9 2 M'Cann 12 35 23 Dohert 13 10 3 Brown 14 19 5 Heig 15 39 24 Boden 16 1 15 Duffy 17 40 23 Hope 18 3 15 Buch 19 42 23 Moss 20 38 18 Kerst 21 13 8 Rhodes 22 26 4 Burg 23 17 6 Snod 24 43 19 (Continued Cano 25 M'C'mb 26 Shield 27 Butler 28 Colpit 29 Ferry 30 Cato 31 Weber 32 Mitch 33 Coward 34 Harmon 35 Smith 36 Whitem 37 Allen 38 Jenn 39 Kenn 40 Yarbo 41 Hutch 42 Donson 43 Zeller 44 Thomas 45 Vogel 46 Cowan 47 Porter 48 jm Delow) 41 16 8 18 15 12 44 16 12 17 46 16 29 2 11 21 2 31 23 11 5 30 14 22 28 9 33 5 24 15 48 8 45 4 3i 11 4 39 47 3 30 15 37 9 34 13 21 27 (Continued above) 48)712 r = .228 Average Rank Difference = 14.9 Chance Rank Difference =16. P.E.y = .09 R = .079 Table Vll Comparison of Abilities in Drawing and Description 48 Adult Students A B C A B c Rank in Rank in D or Dif- Rank in Rank in D or Dif- Name Drawing Descrip- ference Name Descrip- Drawing ference tion in Rank tion in Rank (Continued from below) Boden I 16 15 Wagner 25 10 15 Mitch 2 33 31 Rhodes 26 22 4 Hope 3 18 15 Geilen 27 7 20 Donson 4 43 39 Whitem 28 37 9 Harmon 5 35 30 Cato 29 3i 2 Hosmer 6 4 2 Thomas 30 45 15 Cragun 7 1 6 Hutch 31 42 11 M'C'mb 8 26 18 Russ 32 2 30 Hubb 9 11 2 Allen 33 38 5 Dohert 10 13 3 Cowan 34 47 13 Weber 11 32 21 M'Cann 35 12 23 Colpit 12 29 17 George 36 8 28 Kerst 13 21 8 Fogel 37 46 9 Smith H 36 22 Moss 38 20 18 Shield 15 27 12 Heig 39 15 24 Carr 16 6 10 Duffy 40 17 23 Burg 17 23 6 Cano 41 25 16 Hughes 18 3 15 Buch 42 19 23 Brown 19 14 5 Snod 43 24 19 White 20 5 15 Butler 44 28 16 Porter 21 48 27 Yarbo 45 41 4 Ganard 22 9 13 Ferry 46 30 16 Cowart 23 34 11 Zeller 47 44 3 Jenn 24 39 15 Kenn 48 40 8 (Continued above) 48)712 .200 Average Rank Difference = 14.9 Average Chance Difference =16. P.E. r = .09 R = .079 Table VIII Comparison of Abilities in Drawing and Description 50 College Students A B c A B c Rank in Rank in D or Dif- Rank in Rank in D or Dif- Name Descrip- Drawing ference Name Descrip- Drawing ference tion in Rank tion in Rank (Continued from below) Halm I 43 42 Hone 26 32 6 Clark 2 45 43 Mclll 27 27 Bloys 3 36 33 Park 28 48 20 John 4 20 16 Huston 29 8 21 Lewis 5 12 7 Moss 30 31 I Miller 6 47 4i Tuny 3i 14 17 Cume 7 35 28 Webon 32 33 I Duncam 8 39 3i Scott 33 22 II Mull 9 19 10 Rankin 34 28 6 Webb 10 49 39 Quinn 35 13 22 Alex 11 34 23 Bland 36 5 31 Crook 12 1 11 Erhart 37 23 14 Ever 13 3 10 Fite 38 37 1 Weir 14 6 8 Hug 39 4 35 Powe 15 16 1 Mill 40 50 10 Angus 16 11 5 Walters 4i 42 1 Cole 17 40 23 James 42 30 12 Mann 18 2 16 Coon 43 44 1 Oxly 19 10 9 River 44 23 21 Evert 20 46 26 Kalt 45 41 4 Fogal 21 17 4 Habt 46 18 28 Wills 22 24 2 Ellin 47 7 40 Woods 23 9 14 Peter 48 26 22 Austin 24 36 12 Doby 49 25 24 Cordy 25 15 10 Betts 50 29 21 (Continued above) 50)834 r — — .041 P.E. r = .1 Av. D. = 16.68 Chance D. = 16.66 R = — .001 Table i£ Comparison of Abilities in Drawing and Description Group A, 30 College Students; Group B, 31 College Students. Group A Group B Rank in Rank in D Rank in Rank in D Drawing Descrip- tion Drawing Descrip- tion I 5 4 1 25 24 2 13 11 2 20 18 3 7 4 3 15 12 4 26 22 4 4 5 16 11 5 7 2 6 29 23 6 26 20 7 17 10 7 1 6 8 3 5 8 3i 23 9 2 7 9 3 6 10 6 4 10 28 18 11 12 1 11 13 2 12 14 2 12 9 3 13 28 15 13 5 8 14 23 7 14 16 2 15 20 5 15 14 1 16 24 8 16 29 13 17 21 4 17 2 15 18 27 9 18 11 7 19 9 10 19 27 8 20 25 5 20 8 12 21 19 2 21 10 11 22 1 21 22 21 1 23 15 8 23 6 17 24 18 6 24 30 6 25 4 21 25 17 8 26 22 4 26 23 3 27 9 18 27 12 15 28 8 20 28 24 4 29 10 19 29 22 7 30 30 30 19 11 31 18 13 30)286 il». p. = 9.53 Chance D. = 10.00 .074 R = .047 P.E. r = .12 31)296 Av. D. = 9.55 Chance D. = 10.33 r = .151 i? = .076 P.E. r = .12 134 THE PSYCHOLOGY OF DRAWING The names of the subjects are omitted in Table IX. The figures indicate the rank of the indi- viduals in the series stated at the head of the column. The amount of correlation discovered between drawing and description in the five groups of sub- jects who were tested in Experiment I is shown in Summary form in Table X. The Av. D., the Chance D., the degree of correlation by the Pear- son method (r), its Probable Error (P. E. r ), and the degree of correlation by the Spearman method (R), is given for each group, together with the averages of the five groups. Table X Correlation between Drawing and Description Number Average Chance r P.E.r R Subjects RankZ? RankD (I) 5i 19.90 17.00 — .271 .09 — . 172 (2) 48 14.90 16.00 .200 .09 .079 (3) 50 16.68 16.66 — .041 .10 — .001 (4) 30 9-53 10.00 .074 . 12 .047 (5) 3i 210 9-55 10.33 •151 . 12 .O48 .076 All 70.56 70.00 .023 .006 Conclusion. The combined results of the tests taken by the 210 subjects show that there is no correlation between ability in representative draw- THE EXPERIMENTS 13S ing and ability in description. This is evidenced by the average of the coefficients of correlation determined by the Pearson method (.023), that determined by the Spearman method (.006), and by the equivalence of the Chance D's and the Average D's. A pupil who is good in description is not necessarily good in drawing. He may be either good, medium, or poor, as chance wills it. Because a pupil can not draw well is not a sign that he cannot describe an object well. There is nothing in common between the two processes which justifies using them for the same purpose in laboratory teaching. (b) Correlation between Diagramming-Drawing and Diagramming-Description. The correlation between abilities in diagramming and drawing and between diagramming and description was esti- mated for the group of 51 high school students in exactly the same manner as has been described for the drawing-description correlation. The fol- lowing degrees of correlation were established : Diagramming-Drawing r = — .052 Diagramming-Description r - .231 Ability in diagramming (which is a type of analytical drawing) is not, therefore, correlated with ability in representative drawing. On the other hand, the processes of diagramming and description exhibit a positive correlation (.231) 136 THE PSYCHOLOGY OF DRAWING which, although small, is significant of the pres- ence of a common factor between the two. It is evident from the results of Experiment I that the process of representative drawing is similar neither to description nor to diagramming. The pro- cesses of diagramming and description, on the contrary, show an intimacy of relationship which is indicative of an inherent similarity between the two. This contrast will receive further emphasis by the results of the experiments to follow. Experiment II. Drawing and School Grades. i. Problem. To evaluate the correlation be- tween achievement in "school" Drawing and achievement in other school subjects. 2. Materials. The materials included the final grades received by 141 normal school students for one year's work in various school subjects includ- ing Drawing. All students were required to take Drawing two times per week throughout the year. The total number of grades, exclusive of Drawing, includes 810 individual marks in 28 school subjects taught by 15 different teachers. 3. Method of Procedure. It was necessary to adjust the method of correlation to the system of grading in use at the normal school from which the statistics were secured. The different grades assigned under this sytem are 5, 4, 3, 2, 1, and o. The grades run by theoretically equal steps from THE EXPERIMENTS 137 5 for the best grade of work down to o for the poorest. It was necessary to shift the marks of four of the fifteen teachers one point in order to make the correlations upon the basis of actually parallel rankings. Table XI exhibits the method of tabulation and correlation which was followed for all school subjects. The 21 members of the class in Latin are ranked as they stood in the six grades which are possible in Drawing. The rank in Latin is placed directly opposite the rank in Drawing. The difference between the two gives the Rank Difference (d). Following this in the last vertical column is the product of the Rank Difference squared (d 2 ), which is required in the computa- tion of the correlation by the (adapted) Pearson formula, 6S(d) r = 1 N(n 2 — 1) It is necessary to remember that the number of cases differs from the number of ranks. The number of cases (N) varies with the class (in this case, 21); the number of ranks (n) is always 6. 4. Results. A summary of the results obtained from the entire 810 pairings is exhibited in Table XII. The several classes are grouped under the titles of Manual Training, Mathematics, Foreign Languages, Household Arts, English, Music, Edu- 138 THE PSYCHOLOGY OF DRAWING Table XI Correlation between Achievement in Drawing and Achieve- ment in Latin as Shown by School Grades Rank In Name Drawing Latin J 0)a Haulot I 3 2 4 Mullen 2 2 O o Thiel 3 I 2 4 Wier 3 2 I i Tomkins 3 2 I i McComb 3 2 I i Austin 3 3 O Behn 3 6 3 9 Corbin 4 I 3 9 Lassator 4 i 3 9 Fogal 4 2 2 4 Pitts 4 2 2 4 White 4 3 I I Powell 4 4 o Hodnett 4 4 Osley 4 4 o Kittle 4 6 2 4 Weather 5 6 I i Blount 5 6 I i Bloys 6 6 o Johnson 6 6 o o N= 21 5(d) = 25 53 = S(d*) *■ . — T 6 S (