Ed/Psych Lib. *LB 1031 C12 M-^ Bnrk Individual Instruction m THE LIBRARY OF THE UNIVERSITY OF CALIFORNIA LOS ANGELES J3 C \^ .T^'' LB LATA OF TWO XYA'Rii' I.XPE1-IENCE IN OPKHATIQN OF A SYSTEI.i OF INDIVIDUAL INHTRUGTION BY I ^ BURK. FREDERICK ^ Southern Branch of the University of California Los Angeles \ «3\ s:> s\ \^'^j: SAN FRANCISCO STATE NORMAL SCHOOL MONOGRAPH C IN RE EVERYCHILD, a minor, vs. LOCKSTEP SCHOOLING A Suit in Equity Data of Two Years' Experience in Operation of a System of INDIVIDUAL INSTRUCTION SHOWING Accelerated Rates of Pupils' Progress Elimination of Wastes of School Time Actual Saving in Cost of Schooling Adaptability to Various Schools THBRB ARE NO MISFIT CHILDREN. There are misfit schools, misHt texts and studies, misfit dogmas and traditions of pedants and pedantry. There are misfit homes, misfit occupations and diversions. In fact, there are all kinds and conditions of misfit clothing for children but — In the nature of things there can be NO MISFIT CHILDREN. California State Pbintinq Office 1915 19474 MONOGRAPH C IN RE EVERYCHILD, A MINOR, vs. [ A Suit in Equity LOCKSTEP SCHOOLING The business of schools is to shape themsekrs to the pupils. Bach child is a special creation, and, strictly speaking, education cannot be the same for any two pupils. That it is the business of schools to saxc; to plane and to compress pupils into fixed school molds, is the smug impertinence of an ancient, persistent, and preposterous pedantry. Until this pedantry is uprooted, trunk and branch, schools must fail to fulfill their purpose. Data of Results, Methods and Costs of Operating Schools by INDIVIDUAL INSTRUCTION 4 o 9 [- 2 ^^^'^' COMPILED BY FREDERIC BURK President San Francisco State Normal 19474 SAN FRANCISCO STATE NORMAL SCHOOL. Hiram W. Johnson, Governor. Judge George E. Crotiiers. James B. Davidson. Board of Trustees. Edward Hyatt, Superintendent of Public Instruction. Philip M. Fisher, Joseph S. Thompson. Frank S. Brittain. Primary Reading. Corinne H. Johnstone. Mabel Arleigh. Faculty. Oral Reading and Expression. Lucj' Alsnuson Smith. Douglas Whitehead. General Reading and Literature. Mabel Ashley. History and Civics. P. F. Valentine. Arithmetic. Mary A. Ward. Margaret E. Brennfleck. Irene Norris. Willard Beatty. Louise lyes. Composition, Language, Etc. Effie B. McFadden. Ethel G. Smith. A. S. Boulware. Pha?be Cole. Florine Falk. Science. Mabel Ashley. Carleton W. Washburne. Geographi/. F. W. Hoflfman. Eugenia Schmidt. Music. Estelle Cai-penter. Mary W. McCauley. Eva A. Levy. Kindergarten. Anna Stovall. Gail Harrison. Miriam Barbour. H&nschold Arts. Alice Spelman. Physical Edvcation. Harriet Randall Flandei's. Drawing. Freda Grunig Hilda Smith. Executive Management. Eva A. Levy. Florence Vance. Archibald B. Anderson. Frederic Burk. THE CONCLUSIONS OF THIS MONOGRAPH An individual system of school instruction has been in operation in the elementary department (first to eighth grades) of the San Francisco State Normal School for the past two years. Records of progress of each pupil have been kept and compiled. From the compilation of this data of experience, this monograph will show the following conclusions : I. THE RATE OF PROGRESS. That the slowest pupils, in normal health of body and mind, will complete the usual eight grades of the ele- mentary school in not more than seven years ; that the fastest will finish in not more than five years ; that between these extremes, the rates are very evenly distributed; that, in consequence, pupils who enter school at 6 years of age will complete the eight grades between the ages of 10 and 13 years. II. ALL PUPILS WILL FINISH THE ELEMENTARY SCHOOL- ING. The appalling fact that 60 per cent or more of the youth of the country enter upon world life without the equipment at least of an ele- mentary schooling will be dissipated by the simple solution that prac- tically all pupils will complete the course before they reach the ages at which they at present seek to leave the schools. III. GREATER THOROUGHNESS. That the individual system must upon principle, and does in fact, give a thoroughness and efficiency to every pupil quite beyond any possibility of the lockstep schooling. IV. INDIVIDUAL INSTRUCTION COSTS LESS THAN CLASS INSTRUCTION. The current hasty conclusion to the contrary is due to the fact that the largest item in the cost of schooling by the class sys- tem — unnecessary waste amounting to considerably more than 50 per cent — is entirely overlooked. Among the huge wastes inherent in the lockstep of the class system are those due (1) to repetition of grades, (2) to inability to use the gains of accelerated rates of progress, (3) to the reg-ulations that all pupils must learn what only a few have the need of, or the ability to learn, and (4) to certain frictional losses in the teaching of large classes. Individual instruction cuts out these wastes by elimi- nating their causes. V. THE NUMBER OF PUPILS PER TEACHER. It has also been a hasty conclusion that to operate an individual system would require many more teachers than the lockstep method. This conclusion over- looks the fact that if pupils make faster progress through the grades, the number of pupils in any one class will be reduced proportionally to the increase in rapidity of progress. Our data goes to show the size of classes of 40 to 50 pupils will be automatically reduced to 25 to 30 under individual instruction which eliminates the repeaters, introduces accelera- tion, and economizes time in other ways. (3) THE SCOPE OF THIS MONOGRAPH. In the fall of 1913 Monograph A, under the title of ' ' Lockstep School- ing and a Remedy," was issued. This monograph presented an indict- ment of the class system of instruction by which all pupils in our schools, indiscriminately, and without regard to differences of mentality, tempera- ment, inborn -talents, or tastes, health, absences, etc., are marshaled through the grades by platoons in tight lockstep. To this condition, as a chief cause, was traced the retardation by which betAveen 30 and 50 per cent of all pupils now in the schools of the United States have lost one, two, three and more years. To this condition was also traced the chief cause of the fact that over 60 per cent of all pupils in the United States leave school before they have completed the elementary grades, and are ushered into the struggle of life without the rudiments of education ; and finally to this condition were traced the roots of the apathy, the indiffer- ence, and the inefficiency in our schools, and the inability to accomplish what they undertake to accomplish. These facts leave no room for cavil or palliation. There is obviously something radically faulty in some large fundamental underpinning of the school system. The class system, by the requirement that all pupils in a given class shall maintain the same rate of progress, makes the impossible assumptions that all pupils possess the same mental powers in exactly the same degree ; that no individuals can ever be absent ; that all shall maintain, simultaneously, the same degree of forced attention throughout each school lesson. Such assumptions are obviously impos- sible, and the existing system thereby creates, by its own hand, the army of laggards. There is no remedy for this laggardism, in the present system, except for the victims to repeat grades — and this is not a remedy. The statistics testify to the results. Monograph A pointed out that the only remedy must be a new system of schooling which should be made to fit these conditions of manifest differences in pupils, giving to each full opportunity to gain an education at his own rate, and according to situations individual to him. The beginnings of such a system, then just inaugurated in the elementary department, were outlined. The present monograph continues the report of this work, giving data, compilations and consequences of this new sj^stem., Our Elementary Department consists of the eight grades of primary and grammar school work and has been attended by 500 to 600 children, ranging from 6 to 15 ,or 16 years of age. Distinctly subnormal pupils are not admitted and in all statements it must be understood their absence is assumed. The pupils are taught, not by paid teachers with the assistance of students as is usual- in Normal Schools, but directly by the students themselves under direction of faculty supervisors. While (4) our records of the progress of any iiidividiuil pupil will not extend over two years, yet the whole field of the eight-year course has been covered and our compilations are upon this basis. In the consideration of the data Ave have to ollfer, we wish a distinctly clear understanding of just what our data shows, just what we have accomplished and an equally distinct understanding of Avhat we have not accomplished or have not attempted to accomplish. We have worked out into actual practice, under conditions of an ele- mentarj'- school, used primarily and essentially for the purpose of training teachers, a system of individual instruction. This principle of individual instruction is the same in this school as it would be in any other school — rural, city, or special; and it can be used in any school; but the form of administration is entirely different necessarily. Our form of administra- tion, dominated and complicated by the wholly irrelevant problem of train- ing inexperienced young teachers, offers little, even suggestively, for appli- cation to city school systems. "With slight modifications, our plans may. however, be used in rural schools, in "special" classes of city schools, and in most night schools. AVhat we have done during the past two years has been to determine the actual variation in the rates of progress of pupils when each pupil is permitted to learn at his own rate ; to compile exercise books in the several school subjects ; to make individual instruction in general practicable ; and to invent and put into successful operation an administrative system under the special conditions of Normal Training Schools. The devising of an administrative plan for city schools can only be worked out in a city school. We show that it can be accomplished, finan- cially, with saving to the school treasury. As for the difficulties, it may at least be said that the project is ea.sy, compared with that of adapting the individual principle to a Normal Training School, complicated by the dis- tracting conditions of wholly inexperienced teachers, changing classes three times per day, and changing subjects three times per year. With trained and permanent teachers, the problem of inventing an administrative system for individual instruction is new, but it certainly can not be difficult. We wish to make this fact quite clear, for so many visit us expecting to find in our training school, not only the principle of individual instruction, but also a system of administration exactly fitted and shaped to their own various and particular school conditions. THE MACHINERY OF INDIVIDUAL SCHOOLING. The adaptation of texts to make the length of lesson elastii-ally fit differ- ent pupils, promotion in each subject separately', the establishment of grade standards upon the basis of the slowest diligent pupil's rate of progress, and the adaptation of a report card to show the individual facts truthfully, constitute the chief mechanical devices for the operation of an individual system. •2—19474 (u) The Elastic Lesson. Jf it is impossible to teach a class of fifty pupils en massf. it is clearly as impossible to make texts by which pupils may be expected to learn en masse. lu fact, the difficulties are multiplied. Our school texts, at best, are constructed, not as teaching- books, but as condensed essences of knowledge in form salable to school boards. The real task of adaptin^r them as teaching tools has been left to the personal ingenuity of teachers. As well might a farmer be supplied with cold pig iron in the expectation that he could adapt from it his plow, his ax and his shovel! As a consequence, the best results under class teaching have as a rule been obtained by the least use of the texts, comlnned with the greatest use of teachers of very exceptional ingenuity. But the frequency of teacher geniuses for this ta.sk necessarily is so occasional, that the results are what they are. The necessity of a system which shall not depend chiefly upon such occasional accidents of teaching genius is obvious. The form of texts is particularly handicapping to our plan of individual instruction. It is to this task of inventing and compiling exercise books in adaptation of texts that the members of the faculty have been devoting their extra energies for two years. We have now completed exercise bool . . . ! . H... H... H... H... 65. E. G.. C€. E. H.. 67. W. H.. 68. F. H.. 69. H. H.. 70. A. H.- 71. H. H.. 72. L. H.. 73. B. 7-1. G. 75. O. 76. G. 77. A. H... 78. E. H...| 79. F. H... 80. A. H..J 51. H. J...J 52. L. H.-J 83. E. J...' 84. H. J..-' 85. R. J... 86. D. J... 87. D. J... 88. H. J. .J 89. E. J..,| VX). C. K...| 91. J. K... 9-2. K. K... 93. N. K...I 94. K. K...I 95. E. K... 96. W. K... 97. M. L... 98. H. L.-.; 99. J. M...t 100. E. M.. I 5 '. ^i- 9 L 4 L . 2 . 6 - . 9 . . 7 . . i '. 7 . 6 . 8 . 5 - 1 . 9 . 7 . . 4 . 6 . 4 . 3 4 10 5 6 2 8 81 80 ISO 73 54 81 I 20 90 178 64 85 93 93 .| 80 .1 77 111 83 63 37 100 122 37 j 60 77 ! 107 37 ! 95 ! 83 47 111 108 34 14 68 : 62 28 100 41 53 86 30 39 31 41 17 37 100 67 47 36 .. 47 &3 96 105 206 274 188 ; 233 278 i 151 1 127 101 1 100 ; 58 I 75 ' 312 j 301 178 ! 145 352 , 208 ! 263 ' 214 ' 271 I 182 ' 132 ; 138 ! 130 222 ' 90 I 159 202 i 201 1 259 276 I 111 i 167 I 115 ! 156 355 69 92 63 78 70 38 64 52 34 29 38 104 62 3 73 70 70 66 54 55 Jan. Jan. Jan. Jan. Jan. Aug. Aug. Aug. Aug. Dec. Jan. Aug. Aug. Aug. Aug. Aug. Jan. Jan. Aug. Aug. Aug. Sept. Oct. Apr. Dec. Oct. Sept. Dee. Jan. Jan. Jan. Aug. Aug. Aug. Aug. Aug. 5,'14-Mar. 5,'14-May 5, 13- Jan. 5,'14-JIay 5,'14-May 3,'14-Apr. 3.'14-Mar. 3,'14-Feb. 17,'14-Mar. 9,'13-Mar. 4,'15-Apr. 3,'13-Feb. 14, '12- Feb. 14,'U-May 3,'14-May 4.'14-Mar. 5,'14-Mar. 5, 14-May 26,'13-Xov. 13,'13-Apr. 3.'14-May 14,'14-May 8, '14-May 3,'14-Mar. 5,'13-May 5,'14-Apr. 3,'13-Feb. 8,'13-Feb. 5,'14-Jan. 4, '14-May 4, '14-May 3.'14-Feb. 4, '14-May 10,'14-Apr. 3,'14-May 4,'13-May Records in Arithmetic (Grammar Grade). The second series dves the ?rade records of the first 100 pupils from our alphabetical card lists. The dates and absences are not given. Features similar to those in primary reading are to be noted. 3—19474 (13) Record of Individual Progress. Grammar Grade Arithmetic. 1 Low 5 High 5 Low 6 High 6 Low 7 High 7 Low 8 Total liours .\verage 1 for haU j grade 1 M A 49 128 179 75 39 66 45 24 103 31 303 269 44 89 166 124 170 108 157 323 225 83 153 148 23;) 294 216 90 76 182 268 288 326 215 204 140 242 215 99 251 222 96 250 319 288 63 33 253 110 229 243 293 173 138 SO 173 319 130 232 275 272 128 60 266 279 81 180 228 262 309 315 234 53 327 89 2 J A 75 3 K A 39 4 F 4 66 5. Q. 6. F. 7 M A -. 45 B 24 ..1 .. B 103 8 J B 31 70 9 M B 78 91 64 60 76 10 N B. 30 74 105 68 11 L B. -- - - 44 12. C. B 43 37 46 89 40 45 13 E. B 57 14 B B 81 47 43 62 15 W B 41 82 57 IS S B. 33 40 35 36 17 G B 94 o3' 22 83 63 24 72 79 18. B. B.- 77 131 118 33 18 54 19 L B 75 20 H B 1 21 G B. 65 50 88 59 _ . 77 •79 p B — - 39 50 23 G B 96 86 79 33 45 38 67 81 63 83 57 77 65 SO 24. M. B. 68 80 48 38 22 1 59 25 B. B. — 54 •^6 D B 45 38 115 45 27. N. B. 38 28 M. B. -. - - 91 29. B. B. .. 100 46 85 87 80 79 45 90 30. H. B.. 63 36 1 58 31. W. B. .- - 79 82 .32. C. B -- 54 43 62 110 54 51 54 33. F. B. 68 .34. L. B. .- -- -- 80 85 60 77 70 35. D. C. 80 81 36. A. C - 81 42 22 48 70 51 54 37. G. C. - _. 50 .38 J. C. 63 85 103 84 39. B. C. 63 27 51 81 56 40 C C C. -- 46 50 48 41. A. 49 75 47 82 64 42. A. c. c 75 93 1.51 95 107 43. R. 61 46 86 70 44. A. c c 35 28 32 45. R. 33 53 46". S C c. 63 137 85 47. C. 10 69 87 30 65 66 112 35 37 48. M. C. -. 94 44 66 47 49. 0. c. - SI .50. A. 51. G. C c c C -.- 76 53 67 62 144 59 74 58 .52. B. 69 .5:^ E. 80 71 91 54. A. D D D D E 70 70 102 80 60 62 87 :^o. A. .56. F. 86 54 8 &4 (>5 .57. P. 58. R. 48 .38 78 63 24 86 56' 55 47 69 50. M. 60. M. E .... E F 32 128 88 89 68 61. R. 60 33 62. H. F... 95 108 96 67 42 35 69 67 63. G. F 70 C4. F. F 81 65. B. F 66 31 34 122 128 44 77 91 62 29 74 34 76 41 77 62 49 45 rK). C. F 77 GO 61 57 67. p. F 66 68. H. F 78 69. B. F 79 70. W 49 98 91 78 71. P. F. 53 72 72. L. G... 81 96 78 82 (H) Record of Individual Progress. G rammar Gra de Arithmetic — Continued Low 5 High 5 Low 6 High 6 Low 7 High 7 T -.». i Total LO"* 1 hours 1 Xver&ee for half grade G. M. R. H. E. M. A. L. L. R. H. F. L. M. E. R. A. V. Z. W R. M. E. R. C. L. B. R. Q 7« 71 58 81 1- 184 210 68 262 170 142 293 269 286 131 81 2S6 233 31 239 255 41 38 276 123 299 241 250 319 213 239 246 168 67 74. G Q 58 1 70 26 42 34 7ti. G - — G. 4» 104 109 28 88 142 74 45 51 56 53 &5 78 68 ..-. 71 79 G 103 64 57 48 68 81 61 74 80 G 52 87 29 54 81 G. ' 75 36 72 82. 83 G — - G G 13 81 33 84 70 154 51 82 79 52 64 85 H 117 36 H s - H. 31 87 77 75 51 S3 m 88 H... H. - - 104 151 128 m 41 <)0 H - H 38 1 \ H. 41 93. H... H H. 29 32 72 62 46 95 93 67 129 76 m 61 95 75 84 93 H H H -— H _ H 96 86 32 88 82 117 92 75 80 66 — SO 97 107 98 51 90 :::::::::::::-- • 80 99 31 18 1 50 100 1 84 1 1 FEATURES TO BE NOTED. Each Individual Varies, That the variation in the rates of the same piipiL in. different grades, is often as great as that between different pupils in the same grade. The degree of general mentality does not show itself as a conspicuous factor in many of our records. There are a very few records wliich arc continuously rapid, continuously slow or continuously medium. Variation is the rule — due to a chief extent to variation in ambition, diligence, interest or to particular difficulties. Probably a more common cause has been, tlius far, the imperfection of the course of study, exercise books, new methods of instruction, unavoidable in the pioneer stages of breaking new ground. The estimate may be ventured that over half the slow records are due to this latter cause and they are therefore not likely to repeat themselves. This wide variation of individual rates is a matter for serious considera- tion by the many schools with systems of promotions l)ased upon the assump- tion of definite groups of ' ' rapid, " " medium, ' ' and "slow ' ' pupils. Pupils of tliis kind, all of our records indicate, are exceptional and represent a very small per cent. If such "types" do not exist, such systems have no basis. A Slow Record Not Permanently Disabling. That pupils recover from the difficulties indicated by a slow record and seem thereafter none the worse for the experience — under the class system a pupil who once gets out of the lockstep rarely recovers from the shock and loss. He loses bricks in the foundation and the only remedy (if it is one) is to require him to (15) repeat the grade. Under the individual system, the pnpil who meets a difficulty, wrestles Avith it. conquers it in his own time, and he proceeds with the glory of conquest and is none the worse in point of thoroughness. Note 49 N. D., whose second record was 112 days, yet who completes the primer, first, second, third, and fourth readers in 262 days or in less than a year and a half. His struggle and delay with the second reader seems, in fact, to give him strength, for he tosses off the others in short order. Under the lockstep, possibly, this boy would have repeated the low second and have become hopelessly" discouraged. The Chief Cause of Retaxdation in Classes. That few pupils seem to have their difficulties in the same grade — the difficulties, so far as slow records may indicate therein, are distributed differently for each. This fact signifies that slowness of any pupil at any particular point, so far as the cause is a difficulty of comprehension, is due to his own difficulty — not to that of others. The time he uses to repair his weakness is used to tamp down his comprehension thoroughly — it is not wasted time due to waiting for others to comprehend something he already knows. Fifty different pupils may have fifty different sticking places and under the class system, all wait for each ; or else drag one another ahead before the difficulties in foundation are safely overcome. "We have here brought in view the chief causes of retardation — the lockstep system can not permit each pupil to take the time to repair his own shortcomings at the right times. Consequently a large number must pass on, failing to grasp essentials which constitute the foundation. Ag-e Not an Important Factor. That the age of the pupil in years is not an important nor significant factor. The age of pupils in years since birth, within the limits of two or three years, has received altogether too much emphasis. Children eight years of age are frequently only six years in mental development, and vice versa. (16) VARIATION IN RATES OF PROGRESS. The vital question upon which hincres the essential issue of instruction by classes is whether or not the variation in the rates of progress of different pupils is really so great as to demand the overthrow of this system of education. . This variation is very easily and accurately demonstrable. It, m any class, we arrange conditions to allow each pupil to make his progress at his own rate, giving instruction individually, we may record the time each has used in completing the same unit of work. These time records may be com- pared one with the other and the variation becomes a matter of black and white. In the fact subjects, such as number arithmetic, reading, etc., the comparison admits of very exact measurements. PRIMARY READING. Such records are submitted below. The table gives such data compiled from the records in reading. The number of days each pupil has iLsed to complete the successive half grades is recorded. The records have been arranged in the order of fastest to slowest. Explanation of Tables. Taking, for illustration, the low first grade, the table shows that the fastest pupil completed the low first grade (primer) in 33 days, the next fastest used 43 days, the next 45 days, and so on to the slowest (111 days) . The variation for completing the first half grade there- fore is between the extreme limits of 33 and 111 days, from fastest to slowest. In the high first grade, the fastest pupil completed the State First Reader (Progressive Road to Reading) in 14 days and the slowest in ISO days. The fastest pupil completed the low second grade, the State Second Reader (Brooks' Second Reader) in 17 days and the slowest in 172 days; and so with each successive series. This does not mean, of course, that the fastest pupil in the primer is the fastest in the first reader, as reference to the preceding table will show. The fastest in the second reader was the ninth from the slowest in the first reader. Low 1 : State Primer (Free and Treadwell)— 33, 43, 44, 45, 46, 50, 54, 58, 61, 63, 63, 67, 67, 67, 68, 70, 71, 71, 72, 73, 73, 74, 75, 77, 78, 79, 80, 81, 81, 83, 84, 84, 84, 86, 86, 87, 87, 89, 89, 89, 90, 91, 92, 111, 111. Total days— 3,327. Total pupils — 45. High 1: State First Reader (Progressive Road to Reading. Book I)— 14, 20, 21. 25, 27, 29, 30, 31, 35, 35, 36, 37, 38, 38, 46, 47, 49, 49, 50, 50, 51, 52, 53, 55. 56, 59, 60, 64, 65, 65, 66, 67, 68, 70, 71, 76, 77, 77. 77, 78, 80, 80, 80, 82. 82, 83, 85, 85, 86, 89, 89, 90, 93, 93, 98. 98. 99. 112, 144, 162. 162, 165, 176, 178, 180. Total days— 4.785. Total pupils— 65. (17) Low 2: State Second Keader (Brooks' Second Keader)— 17, 23, 27, 28, 30, 30, 30, 32, 33, 34, 36, 37, 37, 37, 37, 37, 39, 43, 48, 50, 59, 59, 62, 63, 64, 65, 65, 67. 68, 68, 71, 73. 73, 73, 74, 77, 87, 88, 88, 89, 89, 89, 90, 91, 92, 93, 95, 96, 100, 104, 105, 108, 111, 113, 120, 144, 158, 164, 172, 182. Total clays— 4,434. Total pupils— 60. High 2: State Second Reader (Brooks' Second Reader)— 7, 13, 19, 20, 21, 21, 24, 24, 26, 27, 29, 29, 33, 34, 34, 35, 35, 35, 36, 36, 37, 39, 42, 44, 47, 47, 53, 54, 54, 55, 55, 59, 60, 60, 64, 67, 69, 69, 72, 75, 76, 83, 85, 87, 88, 91, 93, 102, 109, 109, 116, 117, 138. Total days— 2,954. Total pupils— 53. Low 3: State Third Reader (Stepping Stones to Literature, Book III) — 0, 8, 14, 14, 14, 21, 21, 26, 28, 29, 30, 31, 35, 36, 37, 37, 37, 38, 39, 41, 41, 42, 43, 43, 43, 44, 47, 48, 48, 49, 49, 50, 53, 53, 53, 54, 55, 55. 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 65, 66, 67, 69, 69, 72, 73, 75, 76, 83, 87, 88, 93. 97, 101, 106. Total days— 3,350. Total pupils— 65. High 3 : State Third Reader (Stepping Stones to Literature, Book III) — 0, 0, 7, 17, 18, 18, 20, 24, 25, 26, 26, 27, 27, 28, 29, 30, 31, 33, 34, 36. 37, 39, 39, 39, 40, 41, 43, 44, 44, 44, 44, 45, 45, 47, 47, 47, 49, 50, 51, 54, 54, 57, 58, 58, 60, 60, 60, 61, 62, 67, 69, 72, 74, 75, 76, 83, 84, 84, 88, 91, 96, 96, 97, 100, 100, 169. Total days— 3,396. Total pupils— 66. Low 4 : State Fourth Reader (Stepping Stones to Literature, Book IV) — 0, 9, 17, 18, 24, 25, 26, 28, 31, 31, 34, 34, 36, 36, 38, 40, 41, 42, 43. 43. 43, 44, 45, 46, 46, 47, 49, 51, 52, 53, 54, 54, 57, 57, 58, 59, 62, 62, 63, 64, 64, 65, 67, 69, 73, 75, 76, 80, 89, 89, 93, 94, 97, 98, 100, 107. 113. 133. 136. Total days— 3,380. Total pupils— 59. High 4: State Fifth Reader (Stepping Stones to Literature, Book V) — 2, 7, 9, 10, 13, 24, 25, 26, 27, 27, 35, 38. 39, 46. 47, 49, 51, 52, 52, 53, 55, 59, 59, 60, 60, 64, 65, 68, 72, 74, 76, 81, 86, 88, 88, 93, 93, 94, 98, 99. 103, 105, 106. Total days— 2.478. Total pupils— 43. Variation in Rates of Progress in Integer Numbers. The second table gives the variation in the rates of different pupils in the subject of the integer number — column addition, subtraction, multipli- cation, short division, compound multiplication and long division. These records begin in the second grade with column addition and extend through subtraction, multiplication, short division, compound multiplication and long division. Pupils enter school Avith varying degrees of number knowl- edge. Each is taken at his point in progress and in a preparatory course is taught, if he is not already proficient, to count serially, by 10 's. by 5's, by 2's, even and odd, to add 10 and any number, 20 and any luunber, 30 and any number, etc. When this preparatory course, which may take any time from a month to the entire first j^ear, is completed the pupil is rated as "low second grade." The work of this half grade is to learn all the additive combinations and column addition represented by the com- pletion of the first half of Exercise Book No. 21. (18) The high second grade covers the completion of Exercise Book No. 21 and the first half of Exercise Book No. 22, representing snlitraetion and iiniltiplication. The low third grade covers short division; the high third, compound Iiniltiplication and long division and integer problems. In the low and higli fourth, we are now doing fractions, decimals with problems — the work usually occupying the fifth grade of class systems. The time spent by pupils in arithmetic varies somewhat in the different grades and also with pupils. The usual time given to arithmetic by us has been 30 minutes daily in the first grade, 40 minutes in the second and 60 minutes in the third and fourth grades, distributed in periods of 10 minutes in the i)rimary grades. The ancient dogma that children can not and must not l)e taught arithmetic before they are eight years old rests upon evidence of doubtful tradition. In this instance, as in many others, it appears that age, based upon years since birth, is not a very stable or reliable factor in educational issues. Some people reach eighty years of life and never reach eight years of comprehension. Addition— 15, 16, 19, 20, 20, 21, 23, 23, 24, 26, 26, 27, 28, 29, 29, 29, 30, 30, 30, 30, 31, 32, 33, 34, 36, 37, 39, 41, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 44, 44, 45, 46, 46, 47, 48, 48, 48, 48, 49, 50, 51, 51, 51, 52, 53, 54. 55, 57, 58, 59, 61, 62, 62, 69, 73, 74, 74, 74, 85, 86, 87, 92, 96, 116. 117. 120. Total days — 3,658. Total pupils — 76. Subtraction and Multiplication— 26, 36, 38, 39, 41, 47, 47. 48. 50, 50, 50, 52, 52, 53, 54, 54, 58, 59, 59, 60, 61, 61, 62, 63, 63, 64, 65, 65, 65, 66, 67, 67, 68, 68, 74, 76, 82, 84, 85, 86, 87, 87, 88, 88, 93, 93, 95, 99, 102, 102, 104, 118, 120, 145. Total days— 3,786. Total pupils— 54. Short Division— 17, 18, 23, 23, 25, 29, 29, 30, 31, 31, 32, 32, 32, 33, 33, 34, 35, 36, 37, 38, 39, 40, 41, 41, 41, 41, 42, 42, 43, 43, 44, 45, 45, 46, 47, 50, 51, 56, 58, 58, 59, 61, 62, 62, 66, 67. 68, 68, 68, 72, 73, 73, 74, 74, 77, 77, 79, 81, 82, 84, 85, 89, 92, 94, 97, 100, 100, 120. Total days— 3,715. Total pupils — 68. Compound Multiplication and Long Division— 15, 21, 25, 30, 31. 32, 33, 34, 35, 35, 43, 43, 43, 44, 44, 46, 46, 48, 50, 51, 51, 51, 53, 55, 55, 59, 60, 60, 61, 64, 65, 66, 67, 67, 68, 69, 69, 69, 70, 70, 72, 80, 80, 82, 82, 82. 85, 91, 92, 95, 96, 96, 100, 100, 102, 105, 109, 119, 120, 126. Total days— 3,912. Total pupils — 60. Variation in Rates of Progress in Arithmetic. Addition and Subtraction of Fractions and Decimals, and Text Prob- lems— 13, 19, 21, 21, 22, 23, 25. 27, 31, 31, 31, 32, 32, 33, 33, 35. 35, 35, 37, 38, 38, 39, 41, 44, 44, 45, 45, 45, 46, 46, 48, 49, 50, 51, 51, 53, 54. 55, 56, 57, 57, 57, 58, 58, 59, 59, 59, 60, 61, 62, 63, 63, 65, 65, 65, 65, 68, 70, 70, 70, 71, 71, 72, 72, 73, 73, 73, 74, 74, 74, 75, 75, 75, 76, 76, 76, 76, 77, 78, 78, 78, 78, 78, 78, 79, 79, 79, 80, 80, 80, 80, 80, 81, 81, 81, 81, 82, 83, 83, 84. 85. 85, 85, 85, 85, 86, 87, 87, 88, 88, 93, 94, 96, 96, 96, 99, 104, 108. 114. 115. 118. 120, 127, 128, 132. Total days— 8,380. Total pupils- 125. (19) Multiplication and Division of Fractions and Decimals ; Denominate Numbers. Text Problems— 11, 22, 22, 24, 28, 28, 29, 31, 32, 33, 35, 36, 36, 36, 37, 37, 38, 38, 40, 42, 42, 44, 45, 45, 46, 48, 49, 49, 49, 50, 50, 51, 51, 52, 53, 54, 54, 55, 55, 57, 58, 59, 60, 60, 61, 61, 62, 62, 62, 63, 63, 63, 63, 66, 66, 67, 67, 68, 69, 70, 71, 72, 73, 74, 75, 75, 75, 76, 76, 76, 76, 77, 77, 78, 78, 78, 79, 79, 80, 80, 80, 80, 81, 81, 81, 81, 82, 82, 82, 82, 82, 83, 83, 84, 85, 86, 86, 87. 87, 87, 88, 88, 89, 89, 90, 91, 91, 92, 92, 93, 94, 94, 96, 98, 99, 100, 102, 102. 103, 103. 104, 108, 111, 115, 116, 117, 128, 131, 151. Total days— 9,126. Total pupils— 130. Advanced State Text to Percentage Review and Advance — 22, 24, 24, 26, 28, 29, 29, 29, 31, 31, 31, 33, 33, 33, 33, 36, 36, 37, 39. 41, 42, 43, 44, 44. 45, 46, 46, 46, 46, 47, 48, 48, 49, 50, 50, 51, 52, 53, 53. 53. 53, 53, 53, 54, 55, 55, 56, 57, 57, 58, 58, 59, 60, 60, 61, 61, 62, 62, 62, 62, 63, 64, 65, 66, 66, 66, 68, 68, 69, 71, 71, 72, 74, 74, 75, 75, 76, 77, 77, 78, 78, 79, 80, 80, 80, 80, 81, 81, 81, 82, 85, 87, 88, 89, 89, 90, 90, 90, 91, 91, 91, 91, 92. 92, 93, 94, 94, 94, 94, 95, 95, 97, 98, 100, 103, 106, 109, 109, 110, 113, 114. 118, 121, 128, 131, 132, 144. 151. Total days— 8,855. Total pupils— 128. Cases I and II of Percentage, State Text and Exercise Book No. 29 — 24. 26, 29, 31, 31, 33, 33, 34, 38, 41, 43, 43, 43, 44, 44, 45, 45, 45, 45, 46, 46, 47, 48, 49, 51, 51, 52, 52, 52, 52, 53, 53, 54, 54, 56, 56, 58, 60. 60, 61, 61, 61, 62, 62. 62, 63, 63, 63, 63, 64, 64, 64, 65, 66, 66, 66, 67, 68, 69, 70, 71, 71, 72, 72, 74, 74, 74, 75, 76, 77, 77, 77, 78, 78, 78, 79, 79, 79, 80, 80. 80, 81, 81, 81. 82, 82, 82, 82, 82, 83, 83, 83, 83, 83, 85, 85, 86, 86, 87, 87, 87, 89, 90, 90, 90, 91, 91, 93, 93, 93, 94, 95, 95, 95, 99, 100, 102, 106, 106. 108. 108. 110, 114, 115. 118, 121. 122, 128, 128, 129, 131, 137, 142, 150, 154. Total days— 10,116. Total pupiLs— 135. Case III of Percentage, Commission, Banking and Interest; Advanced State Text and Exercise Book No. 30—10, 14, 18, 24, 26, 27, 28, 29, 30, 30, 33, 34, 34, 34, 34, 34, 35, 37, 37, 37, 37, 38, 38, 38, 39, 39. 39, 40, 40, 41, 42, 42, 42, 42, 42, 43, 43, 44, 45, 45, 46, 46, 46, 47, 47, 48, 49, 50, 50, 50, 51, 53, 54, 54, 54, 54, 55, 57, 57, 59, 62, 62, 63, 63, 65, 65, 66, 67, 67, 67, 67, 67, 68, 68, 6S, 69, 69, 71, 75, 75, 75, 75, 76, 77, 77, 79, 80, 80, 81, 82, 82, 83, 84, 84. 86, 87, 88, 91, 95, 95, 96, 103, 125, 144, 146, 151. Total days— 6,197. Total pupils — 106. Trade Discount, Insurance, Taxes, Duties with Review — 8, 13, 13, 16, 17, 18, 19, 19, 21, 21, 22, 22, 25, 27, 29, 32, 33, 34, 35, 35, 35, 36, 36, 36, 37, 37, 38, 38, 39, 39, 42, 42, 44, 46, 46, 46, 47, 48, 48, 50, 50, 51, 51, 51, 52, 52, 54, 56, 57, 57, 57, 58, 62, 63, 64, 64, 65, 65, 66, 66, 67, 69, 69, 70, 70, 71, 71, 72, 73, 74. 74, 76, 78, 81, 82, 82, 83, S6, 87, 89, 99, 110. 112. 121. Total days— 4,416. Total pupils— 84. Areas of Plane Figures, Square Root, and Applications (Exercise Boolvs Nos. 31 and 32)— 20, 23, 26, 35, 35, 35, 36, 38, 40, 40, 41, 42, 42, 44, 45, 46, 47, 49, 51, 51, 52, 52, 53, 53, 54, 54, 54, 55, 55, 57, 59. 59, 61, 62, 62, 64, 65, 67, 69, 70, 77, 77, 80, 81, 81, 82, 86, 87, 88, 100, 101, 105. Total days— 2,996. Total pupils— 52. (20) Variation in Rates of Progress in History. Primary Text ^Tliomas' Primary United States History)— 30. 32, 33, 33, 35, 35, 35, 36, 38, 38, 39, 40, 40, 40, 40, 40, 41, 41, 42, 42, 42. 43, 43, 45, 45, 48 48 48, 49, 49, 49, 49, 49, 49, 52, 52, 53, 55, 55, 56, 56, 57, 58, 58, 58, 59, 60', 6l| 64, 65, 66, 67, 68, 68, 68, 69, 72, 72, 73, 74, 74, 74, 75, 79, 82, 82, 83, 83^ 84, 90, 93, 95, 97, 100, 105, 111, 113, 115. Total days— 4,657. Total pupils — 78. Variation in Rates of Prog:ress in History. Completion of first half of State Series Text (Mc:Ma.ster's Brief)— 19, 26, 28, 28, 29, 31, 32, 38, 38, 38, 38, 39, 39, 40, 40, 41, 41, 43, 43, 44, 45, 45, 47, 48, 50, 50, 52, 53, 53, 54, 55, 59, 59, 61, 62, 64, 64, 65, 65. 6S, 68. 71, 72, 74, 76, 76, 78, 78, 78, 79, 79, 81, 82, 82, 82, 85, 85, 86, 86, 88, 89. 89, 89, 90, 91. 91, 92, 92, 92, 92, 93, 93, 93, 94, 95, 96, 98, 99, 100. 101. 101. 102, 102, 102, 104, 105, 106, 109, 111, 113, 118. 119, 120, 122, 123, 123. 123. 124. 129, liSO, 130, 136, 140. Total days— 7,981. Total pupils- 103. Variation in Rates of Progress in American History. Last half of State Series Text (MeMaster's)— 24, 28, 30, 32, 33. 33, 36, 36, 38, 40, 40, 41, 45, 46, 47, 48, 51, 51, 51, 52, 52, 53, 53, 54, 54, 54, 56, 56, 57, 57, 59, 61, 61, 62, 63, 63, 63, 63, 63, 64, 64, 65, 66, 67, 67, 68, 68. 68. 68, 69, 70, 71, 71, 71, 71, 71, 72, 73, 73, 74, 74, 74, 75, 75, 77, 77. 77. 77. 79, 79, 79, 79, 80, 80, 84. 85, 86, 88, 89, 91, 91, 93, 93, 96, 99, 99, 99. 101. 101, 102, 104, 106, 106, 107, 108, 134, 152. Total days— 6,743. Total pupils— 97. Variation in Rates of Progress in Grammar (1). 20, 23, 30, 36, 36, 36, 37, 38, 38, 40, 45, 45, 46, 46, 46, 46. 46, 47, 47, 47, 49, 49, 50, 50, 50, 52, 52, 52, 52, 52, 52, 52, 53, 53, 54, 54, 54, 55, 55. 55, 55, 56, 56, 57, 57, 57, 58, 58, 58, 58, 58, 58, 59, 59, 60, 60, 61, 61, 62, 62, 62, 63, 63, 63, 63, 64, 64, 64, 65, 66, 67, 67, 70, 70, 71, 71, 72, 72, 74, 75, 75, 75, 79, 79, 79, 81, 83, 87, 90, 92, 98, 106. Total days— 5,380. Total pupils— 92. Variation in Rates of Progress in Grammar (2). 24, 27, 28, 29, 31, 32, 33, 35, 37, 39, 39, 39, 39, 41. 41, 41. 41. 42. 42. 42, 43, 43, 44, 44, 45, 45, 46, 46, 46, 46, 47, 47, 47, 48, 48, 48, 48, 48. 49, 50, 50, 50, 51, 51, 51, 51, 52, 52, 52, 52, 53, 54, 55, 55, 55, 56, 56, 57, 57, 57, 57, 57, 57, 58, 58, 59, 59, 60, 62, 62, 63, 63, 64, 65, 65, 65, 66, 66. 67. 67. 69. 69, 70, 70, 70, 71, 72, 74, 75, 78, 79, 87, 95. Total days— 4,936. Total pupils— 93. Variation in Rates of Progress in Grammar (3). 24 25, 27, 28, 30, 32, 34, 35, 35, 36, 37, 37, 37, 38, SS, 39, 40, 41, 41, 43, 43 44 45, 46, 46, 46, 46, 46, 47, 48, 49, 49, 49, 49, 51, 51, 52, 52, 52, 53, 54, 54 55', 55, 55, 57, 58, 59, 61, 61, 62, 63, 63, 64, 64, 65, 66, 6S, 69, 70, 72, 72, 73! 74, 74, 74, 74, 75, 75, 77, 78, 78, 81, 82. 83, 84, 85, 87, 87, 88, 91, 91, 94, 102, 102, 107, 110. Total days— 5,153. Total pupils— 87. 4—19474 (21) Variation in Rates of Progress in Language (Exercise Book No. 42). 15, 18. 19, 20. 21, 23, 23, 25, 27, 28, 28, 28, 28, 28, 29, 29, 29, 29, 31, 31, 32, 32, 32, 32, 34, 35, 35, 36, 36, 36, 37, 37, 38, 39, 40, 41, 42, 43, 43, 43, 45, 45, 46, 46. 47. 47, 49, 49, 54, 54, 54, 56, 57, 57, 58, 58, 58, 58, 59, 60, 60, 61, 63, 64. 68, 68, 68, 73, 73, 81, 82, 85, 87. 88. Total days— 3,330. Total pu- pils — 74. Variation in Rates of Progress in Language (Exercise Book No. 43). Low 6 and High 6—9, 13, 14, 14, 14, 15, 16, 17, 17, 17, 18, 18, 19, 19, 20, 20, 21, 22, 23, 23, 23, 23, 23, 25, 25, 25, 25, 25, 25, 25, 25, 26, 27, 27, 28, 28, 29, 29, 31, 34. 35, 36, 36, 36, 37, 38, 38, 38, 39, 39, 40, 41, 42, 42, 42, 43, 43, 44, 44, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 48, 48, 49, 50, 50, 50, 53, 53, 53, 54, 54, 54, 55. 55, 56, 56, 57, 57, 57, 58, 59, 61, 61. 61. 63. 63. 64, 64, 69, 70, 71, 93. Total days— 3,951. Total pupils— 101. Variation in Rates of Progress in Language (Exercise Book No. 44), Low 7 and High 7—33, 35, 36, 36, 36. 37, 37, 37, 37, 37, 38, 38, 39, 40, 40. 41. 42. 42. 43. 43, 43, 44, 44, 44, 45, 46, 47, 54, 54, 55, 55, 56, 56, 57, 59, 60, 63. 67. 72. 79. Total days— 1,867. Total pupils— 40. FEATURES TO BE NOTED. The Excessively Rapid and Excessively Slow Records. While the total variation, in most series, is extremely wide, it will be noted that the first few rates at the beginning, and the last few at the end, are exceptional. They do not conform to the usual evenness of variation. Most of these may be regarded as sporadic and due to accidental conditions not likely to be repeated. In fact, as will be later shown, few records of either great rapidity or great slowness are repeated by the same pupil. The amount of work assigned to a half-grade has already been determined by previous records and this has been fixed by what the slowest pupil, under normal and legitimate conditions, has accomplished in 95 days (one-half a school year), allowing one hour's work per day. In a few cases these records show that perfect adjustment of the amount of work assigned to a grade has not yet been reached, but changes in quantity of work have already been made and will show in later records. Consequently, the records exceeding 95 days may be regarcled of little significance except that they show need of adjust- ment. The fastest legitimate records are usually in the vicinity of 19 or 20 hours (or days), making the range of variation between the extremes of 19 or 20 and 95 or 100— a ratio of 1 to 5. Variation Is Evenly Distributed. The rates between the extremes of 19 to 95. when there are enough of them, are usually very evenly distributed. There is a .slight unevenness approaching either extremity, but as a rule the evenness of this distribution is singular. Rates are nowhere bunched in groups in any way to offer justification for group teaching. (22) Subjects Follow the Same Law of Variation. The features of varia- tion arc practically the same in every .sul)ject when the number of pupils is approximately the same. The General Significance. These figures forcibly display their own significance. They at once declare the futility of making the lockstep class system, by any modification or patching, serve the purposes for which schools are maintained. When we once realize that in every class of fifty pupils, proceeding in monotonous lockstep. there is one pupil who can do in one month what another pupil will require five months to finish, that the other.s are very evenly distributed between these extremes, and the reason- ably slowest can make faster progress than the class in lockstep, we can no longer be content with schooling l)y the lockstep. It makes clear why there are so many repeaters. Avhy there are so many disinterested, bored pupils. There is only one line of argument possible — to di.spute the facts. If any one questions them, it is easy to disprove or verify thera. It would cost very little for any city to try out a group of 50 pupils upon the individual plan for six moiitlis. At most, under unfavorable conditions, it would cost only the salary of an additional teacher and a few dollars' Avorth of extra aids. Fix no set lessons, agree to promote pupils upon completion of the half-grade and take care of the situation. Then any one may learn the facts at first hand. (2S) RECORDS OF SAME PUPILS THROUGH SUCCESSIVE GRADES. AVe may now take up the data concerning the progress of the same pupil through successive grades in the same subject. The figures upon this phase of the subject are necessarily limited because our records extend baclavard only two years at best, and the majority are for shorter periods. Of some pupils we have the time record for only one half-grade ; for others we have records for two, three, four, five, six and, in a few instances, for seven half- grades. We have grouped in each subject the records according to the number of half-grades completed. The standard time for records of one half-grade Avill, of course, be 95 hours; for two half-grades, 190 hours (95 X 2) ; for three half -grades, 285 hours (95 X 3) ; for four half -grades, 380 hours (95 X 4) ; for five half -grades, 475 hours (95 X 5) ; for six half- grades, 570 hours (95X6); for seven half -grades, 665 hours (95X7). Records which exceed these standards are excessive and represent retarda- tion. Those which fall below these standards are accelerated rates. For convenience of ready significance, we have given the average time each pupil has used in completing a half -grade— found by dividing the total hours by the number of half -grades. In the first table (Primary Reading), the records are in days, not hours, for reasons already ex- plained. All other tables are in hours. Explanation of Tables. The first series means that, taking all pupils in primary reading, of whom we have as yet only records for one half- grade, each has completed this half-grade in the days represented— 43, 43, 58, and so on. Each could have used 95 days, the grade standard; those M'ho have exceeded 95 days are retarded to the extent represented by the excess of days. In the second series, we have the records of those who have completed two half-grades. The sum of each has been taken as shown in upper line ; the maximum standard is 190 days, with which each may be compared. The average of each as shown in lower line is obtained by dividing the upper number by 2 and disregarding fractions. Thus, the fastest pupil completed two half-grades (one year) in 65 days or 3^ months (20 days in school month) ; this is an average rate of 33 days per half- grade or a little less than 1^ months. The slowest pupil finished in 265 days, exceed- ing the standard of 185 days by 80 days, a retardation of four months. There are 11. pupils who exceed the standard maximum assumed for the slowest. The third series represents pupils of whom we have records for three half-grades (1| years). The fastest completed these three half-grades in 81 days and the slowest in 312 days. The standard maximum is 285 days. The average of the fastest was 41 days per half-grade (81 -f- 2), and the average rate of the slowest was 104 days. The fastest therefore finished with a saving of 220 days (285 — 65), and the slowest wdth a retardation of 27 days (312 — 285) ; or in terms of average, the fastest saved, on the average, 54 days (95 — 41), per half- grade, and the slowest lost 9 days per half-grade (104 — 95). The other series may be similarly interpreted. (24) Table showing the number of hours used by different pupils m completing: one to six half-grades (upper line), and the average time of each (lower line) . The standards are shown for each ; excessively slow records are printed in black type. PRIMARY READING. Number of days used in completing one half-grade (standard maxi- mum, 95 days)-43, 43, 58, 67, 67, 67, 68, 72, 76, 77, 81, 93, 98, 111, HI. 169, 178, 182. Xumber of days used in completing two half-grades (standard maxi- mum, 180 days). Average number of days^per half-grade (95 days) : 65 70 71, 75, 95, 96, 96, 100, 101, 102, 103, 106, 112, 114, 115, 33, 35', 36, 38, 48, 48, 48, 50, 51, 51, 52, 53, 06, o/, d8, 115 115 120, 121, 122, 126, 127, 130, 131, 134, 137, 139, 140, 144, 145, 58! 58^ 60, 61, 61, 63, 64, 65, 66, 67, 69, 70, 70, 72. 73. 145 150, 153. 157, 160, 162, 162, 164, 166, 172, 182, 186, 196, 221, 232, 73', 75. 77, 79. 80, 81, 81, 82, 83, 86, 91, 93, 98, 111, 116, 233, 243, 249, 249, 250, 260, 262, 265. 117, 122, 125, 125, 125, 125, 131, 133. Xumber of days used in completing three half-grades (standard maxi- mum, 285 days). " Average number of days per half-grade (95 days^ : 81, 87, no, 113, 132, 138, 159, 164, 165, 165, 188, 189, 195, 200, 201, 27. 29. 37, 38, 44, 46, 53, 55, 55, 55, 63, 63, 65, 67, 6t, '■>0''> 204 --^06 208, 222, 223, 243, 259, 264, 274, 274, 276, 312. 6S. 68. 69, 70. 74, 75, 81, 87, 88, 92, 92, 92, 104. Xumber of days used in completing four half-grades (standard maxi- mum. 380 days). Average (95 days) : 107, 113, 154, 156, 162, 163, 167, 169, 178, 179, 214, 222, 27, 29, 39, 39, 41, 41, 42, 43, 45, 45, 54, 56, 224, 240, 243, 246, 254, 255, 263, 270, 278, 311, 331, 339. 56, 60, 61, 62, 64, 65, 6^5, 68, 70, 78, 83, 85. Xumber of days used in completing five half-grades (standard maxi- mum, 475 days). Average number of days per half-grade (maximum, 95 days) : 122, 207, 254, 255, 267, 271, 272, 279, 301, 302, 316, 333, 355. 25, 42, 51, 51, 54, do, 55, 56, 61, 61, 64, 67. 71. (2.5) Xnmber of daj's used in completing six half-grades (standard maxi- mum, 570 days). Average number of days per half-grade (maximum. 95 days) : 239, 256, 260, 267, 270, 305, 307, 366. 40, 43, 44, 45, 45, 51, 52, 61. Number of days used in completing seven half-grades (standard maxi- mum, 665 days). Average number of days per half-grade (maximum, 95 days) : 210, 309, 311. 30, 45, 45. ARITHMETIC. Number of hours used in completing one half-grade (standard maxi- mum, 95 hours)— 15, 20, 21, 23, 28, 29, 30, 31, 31, 33, 34, 36, 41, 42, 43, 43, 43, 44, 46, 46, 47, 50, 51, 53, 55, 56, 59, 59, 59, 62, 66, 67, 69, 70, 72. 74. 74, 79, 82, 84, 92, 92, 96, 56, 99, 100, 117, 122. Total pupils— 48. Number of hours used in completing two half-grades (standard maxi- mum, 190 hours). Average number of hours per half-grade (maximum, 95 hours) : 48, 50, 50, 57, 61, 65, 67, 77, 80, 89, 90, 93. 24, 25, 25, 29, 31, 33, 34, 39, 40, 45, 45, 47, 99, 101, 104, 107, 109, 113, 114, 119, 120, 122, 123, 124, 50, 51, 52, 54, 55, 57, 57, 60, 60, 61, 62, 62, 129, 132, 133, 133, 133, 143, 144, 148, 148, 149, 153, 156, 65, 61, 67, 67, 67, 72, 72, 74, 74, 75, 77, 78, 157, 166, 167, 172, 179, 179, 182, 189, 193, 200. 79, 83, 84, 86, 90, 90, 91, 95, 97, 100. Number of hours used in completing three half-grades (standard maxi- mum, 285 hours). Average number of hours per half-grade (maximum, 95 hours) : 81, 115, 116, 119, 126, 142, 144, 160, 163, 171, 173, 175. 27, 39, 39, 40, 42, 48, 48, 54, 55, 57, 58, 59, 178, 207, 207, 231, 266. 60, 69, 69, 77, 89. Xuiii])er of hours used in conipleting four half-grades (standard maxi- mum, 280 hours). Average number of hours per half-grade (maximum, 95 hours) : 145, 160, 168, 179, 180, 189, 202, 207, 209, 214, 217, 253, 268. 37, 40, 42, 45, 45, 48, 51, 52, 53, 54, 55, 64, 67. (26) ARITHMETIC (GRAMMAR GRADES). Number of hours used in completing: one half-y:rade i slaudard maxi- mum, 95 hours)— 19, 24, 27, 31, 31, 33, 35, 37, 38, 39, 39, 39. 41. 44. 44, 45, 46, 46, 49, 50, 51, 51, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 02. 63. 63. 65. 66, 6S. 70, 72, 73, 74, 75, 76, 80, 81, 81, 83, 85, 87, 87. 103, 108, 120, 128. Number of hours used in completing two lialf-grades (standai-d maxi- mum, 190 hours). Average number of hours per half-grade (maximum. 95 hours) :, 63, 68, 75, 76, 83, 89, 90, 96, 99, 113, 113, 120. 122. 123, 124. 32, 34, 38, 38, 42, 45, 45, 48, 50, 57, 57, 60, 61, 62, 62, 127, 130, 131, 131, 134, 137, 138, 140, 142, 143, 143, 146, 148, 150, 152, . 64, 65, 66, 66, 67, 69, 69, 70, 71, 72, 72, 73, 74. 75, 76, 153, 154, 155, 156, 157, 158, 159, 168, 168, 169, 170, 173, 174. 175, 175, 77, 77, 78, 78, 79, 79, 80, 84, 84, 85. 85. 87. 87. 88, 88, 178, 179, 182, 185, 188, 198 201, 213, 221, 233, 255. 89, 90, 91, 93, 94, 94, 101, 107, 111, 117, 128. Number of hours nsed in completing three half-grades (standard maxi- mum, 285 hours). Average number of hours per half-grade (maximum, 95 hours) : 108, 108, 110, 122, 123, 130, 142, 143, 144, 148, 150, 159, 161, 164, 166, 36, 36, 37, 41, 41, 47, 48, 48, 48, 50, 50, 53, 54. do, 56, 167, 169, 170, 173, 178, 180, 191, 198," 201, 202, 204, 206, 210, 211, 221, 57, 57, 57, 58, 60, 60, 64, 66, 67, 68, 68, 69, 70, 71, 74, 222, 225, 225, 227, 229, 230, 234, 236, 237, 238, 239, 239, 239, 241, 242, 74, 75, 75, 77, 77, 77, 78, 79, 79, 80, 80, 80, 80. 81, 81, 242, 243, 245, 246, 250, 251, 251, 253, 255, 255, 259, 259, 260, 262, 268, 81, 81, 82, 82, 84, 84, 84, 85, 85, 85, 87, 87, 87, S8, 90, 274, 274, 286, 288, 292, 308, 319. 92, 92, 96, 96, 98, 103, 107. Number of hours used in completing four half-grades (standard maxi- mum, 380 hours). Average number of hours per half-grade (maximum, 95 hours) : 108, 131, 149, 167, 180, 191, 196, 200, 200, 202, 215, 215. 216. 222, 228, 27, 33, 38, 42, 45, 48, 49, 50, 50, 51, 54, 54, 54. 36, 57, 228, 234, 237, 237, 239. 239, 241, 242, 242, 243, 243, 248, 253, 255, 257, 57, 59, 60, 60, 60, 60, 61, 61, 61, 61, 61, 62, 64, 64, 65, 260, 260, 262, 264, 265, 266, 269, 272, 275, 276, 278, 278, 27J). 282, 283, 65, 65, 66, 66, 67, 67, 68, 68, 69, 69, 70, 70, 70. 71. 71. (27) 283, 286, 286, 287, 288, 293, 293, 293, 298, 303, 304. 309, 311, 313, 315, 71. 72, 72. 72, 72, 74, 74, 74, 75, 76, 76, 78, 78, 79, 79, 315, 319. 323. 326, 327, 328, 348, 363. 79, 80, 81, 82, 82, 82, 87, 91. Number of hours used in completing five half-grades (standard maxi- mum, 475 hours). Average number of hours per half-grade (maximum, 95 hours) : 215, 216, 223, 232, 232, 246, 253, 262, 265, 269, 43, 44, 45, 47, 47, 50, 51, 53, 53, 54, 271, 281, 288, 294, 299, 305, 319, 324, 330. 55, 57, 58, 60, 60, 61, 64, 65, 66. Number of hours used in completing six half-grades (standard maxi- mum, 570 hours). Average number of hours per half-grade (maximum, 95 hours) : 241, 289, 315, 323. 41. 50, 53, 54. GRAMMAR. The amount of time allowed for the study of grammar is one-half hour or 47^ hours per half-grade. The maximum standard is therefore 47^ hours instead of 95. Number of hours used in completing one half-grade (standard maxi- mum, 47^ hours)— 7, 10, 11, 11, 11, 12, 12, 13, 13, 15, 16, 16, 16, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 23, 25, 27, 29, 33, 33, 33, 34, 34, 36, 37, 38, 39, 40, 43, 44, 44, 48, 49, 69. Number of hours used in completing two half -grades (standard nuxxi- mum, 90 hours). Average number of hours per half-grade (maximum, 47^ hours ) : 10, 25, 26, 28, 30, 32, 33, 34, 41, 41, 43, 44, 47, 49, 50, 5, 13, 13, 14, 15, 16, 17, 17, 21, 21, 22, 22, 24, 25, 25, 50, 50, 50, 52, 52, 53, 53, 53, 53, 54, 55, 55, 56, 56, 57, 25, 25, 25, 26, 26, 27, 27, 27, 27, 27, 28, 28, 28, 28, 29, 58, 58, 58, 60, 60, 61, 61, 62, 62, 63, 63, 65, 65, 65, 71, 29, 29, 29, 30, 30, 31, 31, 31, 31, 32, 32, 33, 33, 33, 36, 74, 74, 81, 82, 84, 97, 100, 102, 105, 111. 37, 37, 41, 41, 42, 49, 50, 51, 53, 56. (28) Number of hours mum, 142^ hours). 47^ hours) : 29, 32, 35, 46, 10, 11, 12, 16, 70, 70, 71, 72, 24, 24, 24, 24, 87, 87, 88, 89, 29, 29, 30, 30, 100, 100, 101, 101, 34, 34, 34, 34, 121, 121, 130, 132, 41, 41, 44, 44, used in eompletinc: three half-grades (standard maxi- Average number of hours per half -grade (maximum, 46, 51, 52, 54, 54, 56, 60, 60, 60, 65, 67, 16, 17, 18, 18, 18, 19, 20, 20, 20, 22, 23, 73, 76, 77, 78, 80, 80, 81, 83, 84, 84, 85, 25, 26, 26, 26, 27, 27, 27, 28, 28, 28, 29, 90, 91, 91, 92, 92, 93, 93, 94, 98, 98, 99, 30, 31, 31, 31, 31, 31, 31, 32, 33, 33, 33, 103, 108, 108, 108, 109, 109, 111, 112, 115, 116, 117, 35, 36, 36, 36, 37, 37, 37, 38, 39, 39, 39, 134, 134, 135, 144. 45, 45, 45, 48. Number of hours used in completing four half-grades (standard maxi- mum, 190 hours. Average number of hours per half-grade (maximum, 47^ hours) : 46, 68, 71, 73, 77, 77, 80, 83, 90, 91, 92, 97, 97, 101, 103, 105, 12, 17, 18, 19, 20, 20, 20, 21, 23, 23, 23, 25, 25, 26, 26, 27, 106, 106, 108, 110, 110, 111, 117, 118, 118, 119, 120, 121, 122, 123, 123, 123, 27, 27, 27, 28, 28, 28, 30, 30, 30, 30, 30, 31, 31, 31, 31. 31, 126, 127, 127, 131, 134, 135, 138, 138, 140, 143, 143, 144, 144, 147, 158. 32, 32, 32, 33, 34, 34, 35, 35, 35, 36, 36, 36, 36, 37, 40. Number of hours used in completing five half-grades (standard maxi- mum, 237^ hours). Average number of hours per half-grade (maximum, 471 hours) : 68, 82, 85, 93, 94, 97, 102, 102, 103, 105, 105, 106, 110, 111, 116, 14, 17, 17, 19, 19, 20, 21, 21, 21, 21, 21. 22, 22, 23, 24, 116, 116, 118, 118, 119, 121, 122, 128, 128, 132, 135, 140, 142, 144, 146, 24, 24, 24, 24, 24, 25, 25, 26, 26, 27, 27, 28, 29, 29, 30, 148, 161, 169. 30, 33, 34. Number of hours used in completing six half-grades (standard maxi- mum, 285 hours). Average number of hours per half-grade (maximum, 47^ hours) : 76, 96, 107, 117, 119, 123, 134, 146. 13, 16, 18, 20, 20, 21, 23, 25. 5—19474 (29) Number of hours used in completing seven half-grades (standard maxi- mum, 285 hours). Average number of hours per half -grade (maximum, 47-J hours) : 291, 136, 291. 42. 20, 42. HISTORY. The daily allowance of time is one-half hour or 47^ hours per half- grade, as in grammar. Number of hours used in completing one half-grade (standard maxi- mum, 47i hours)— 15, 16, 19, 19. 24, 25. 26, 27, 27, 28, 29, 31, 32, 32, 33, 34, 38, 38, 41, 42, 44, 46, 48, 49, 55, 55, 60, 66, 92. Total pupils— 29. Number of hours used in completing two half-grades (standard maxi- mum, 95 hours). Average number of hours per half-grade (maximum, 47| hours) : 18, 24, 31, 33, 35, 35, 37, 38, 39, 39, 39, 41, 42, 43, 46, 9, 12, 16, 17, 18, 18, 19, 19, 20, 20, 20, 21, 21, 22, 23, 49, 49, 49, 52, 53, 55, 55, 60, 62, 63, 64, 65, 65, 66, 66, 25, 25, 25, 26, 27, 28, 28, 30, 31, 32, 32, 33, 33, 33, 33, 67, 68, 69, 70, 70, 71, 72, 73, 74, 74, 75, 78, 81, 81, 82, 34, 34, 35, 35, 35, 36, 36, 37, 37, 37, 38, 39, 41, 41, 41, 82, 86, 89, 91, 92, 94. 99, 100, 101, 102, 103, 105, 107, 115, 115, 41, 43, 45, 46, 46, 47. 50, 50, 51, 51, 52, 53, 54, 58, 58, 121, 123, 123, 124, 126, 128, 130, 136, 140, 146, 158. 61, 62, 62, 62, 63, 64, 65, 68, 70, 73, 79. Number of hour mum, 142^ hours). 47| hours) : 40, 66, 71 14, 22, 24 87, 89, 90 29, 30, 30 99, 100, 101 33, 34, 34 122, 122, 123 41, 41, 41 134, 136, 136 45, 46, 46 145, 147, 148 49, 49, 50 s used in completing three half-grades (standard maxi- Average number of hours per half-grade (maxinuim. , 71, 72, , 24, 24, , 90, 91, , 30, 31, , 101, 104, ^ 34, 35, , 123, 123, , 41, 41, i, 136, 136, ;, 46, 46, i, 150, 151, ). 50, 51, 72, 73, 78, 79, 80, 80, 82, 83, 84, 86, 24, 25, 26, 27, 27, 27, 28, 28, 28, 29, 92, 92, 93, 93, 95, 96, 97, 97, 98, 98, 31, 31, 31, 31, 32, 32, 33, 33, 33, 33, 107, 108, 108, 109, 114, 115, 115, 117, 119, 120, 36, 36, 36, 37, 38, 39, 39, 39, 40, 40, 125, 125, 127, 128, 128, 131, 131, 132, 132, 134, 42, 42, 43, 43, 43, 44, 44, 44, 44, 45, 137, 137, 138, 139, 139, 139, 140, 140, 143, 144, 46, 46, 46, 47, 47, 47, 47, 47, 48, 48, 156, 158, 159, 160, 162, 165, 167, 167, 169, 178. 52, 53, 53, (30) 54, 54, 55, 56, 56, 57, 60. Number of hours used in c-ompletiug four half-grades (standard niaxi- niuni, 190 hours). Average number of hours per half-grade (maxinuim. 47^ hours) : 92, 95, 99, 100, 100, 101, 102, 102, 105, 106, 107, 111, 112, 115, 116, 23, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 116, 119, 119, 120, 120, 124, 126, 126, 132, 133, 134, 137, 138, 140, 141, 29, 30, 30, 30, 30, 31, 32, 32, 33, 34, 34, 35, 35, 35, 36, 144, 145, 148, 148, 152, 153, 159, 159, 160, 160, 161, 167, 168, 168, 172, 36, 37. 37, 37, 38, 39, 40, 40, 40, 40, 41, 42, 42, 42, 43^ 175, 176, 180, 182, 183. 44, 44, 45, 46, 46. Number of hours used in completing five half-grades (standard maxi- mum, 237^ hours). Average number of hours per half-grade (maximum, 47 i hours) : 93, 99, 107, 109, 112, 114, 117, 118, 118, 124, 125, 130, 13'^ 19, 20, 22, 22, 23, 23, 24, 24, 24, 25, 25. 26. 27,' 134, 134, 136, 143, 145, 146, 151, 157, 161, 173, 184 186 "^05 27, 27, 28, 29, 29, 30, 31, 32, 33. 35, 37. 38, 41. Number of hours used in completing six half-grades (standard maxi- mum, 285 hours). Average number of hours per half -grade (nuiximum. 47^ hours) : 131, 163. 22, 28. Number of hours used in completing seven half-grades (standard maxi- mum, 332^ hours). Average number of hours per half-grade (maximum, 47| hours) : 108, 132. 16, 19. (31) , FEATURES TO BE NOTED. 1. That with longer periods of time, the average rapid record grows slightly slower, and the average slow record grows very much faster. This is unexpected and seems singular. With our general theory of types of "slow" and "fast" pupils, we should expect the fast to go faster and the slow at least to remain slow. But by examining the general record sheet, it appears that practically all pupils tend to vary widely in their own rates. 2. That while in the records for one half-grade, two half-grades and three half-grades, there are always some averages which exceed 95 hours, there are no averages exceeding 95 hours among the pupils who have com- pleted four, five or more half-grades. This might be interpreted upon the ground that since our plan has only been in operation for two years, or less, the pupils who have completed four or more half-grades represent the "fast" tj^pe and that they have not made any slow records. To a certain extent, this explanation is probably valid, but as will be shown in a subse- quent paragraph, the pupils who have completed four or more half-grades nevertheless are burdened with a considerable percentage of excessively slow records; the slow rates have been averag?d out. Are There Slow and Fast Types? It is clear that if the pupils who are exceptionally fa.st in the first half-grade should maintain these same rates continuously, they would complete the eight grades of this subject in short order. They would, therefore, constitute a "rapid" type. Similarly, if the pupils who are excessively slow should continue, through each successive grade, to move at the same retarded rate, they would slip further and further behind and require years to complete the eight grades. They would eon.stitute a "slow" type. Seemingly we might also establish a "medium" type. These are terms of popular pedagogic presumption, and when we commenced the work of individual instruction, we confidently anticipated the records to run upon this plan. But the figures have not run upon this plan. We would have a difficult task to put a finger definitely upon any considerable number of pupils who, judged by their records, could be adjudged "rapid," "medium," or "slow." We have found few pupils Avho have made progress through successive grades at a continuously rapid, continuously medium, and fewer at a continuously slow rate. The rule is that of constant variation in rate, even hy the same pupil. For illustration, we may take pupils in grammar grade arithmetic who have completed at least three successive half-grades. We have 154 such records, some for three half -grades, some for four half -grades, some for five and six. Let us designate as exceedingly rapid any rate which is less than half the standard minimum (95 hours) or 47^ hours; as "medium," any rate which falls between 474 and 95 hours; and as excessively "slow" any record which exceeds 95 hours. Of these 155 pupils, there are 16 whose average rate is rapid, and 95 whose record contains one or more rapid rates for a half- grade, but only 3 are continuously rapid. There are 132 whose average is (32) medium, and 152 whose records contain one or more medium half-grade rates, but only 38 which are continuously medium. There are 45 whose records contain one or two slow half-grade rates, but only 6 average slow and none are continuously slow, even for three half-srades. There are 24 of the 155 whose records contain mixtures of all three types. Of course, we know there are pupils inherently deficient— there are idiots, imbeciles, morons, and, in all probability, backward pupils among the normal. Also we do know there are prodigies. But the evidence of our experience simply minimizes the undue emphasis which has been placed upon the theory of slow and fast "types" for practical purposes. The factor of inherent qualities is evidently not so dominant and all-determining in the regular school subjects as we have assumed. Doubtless, in subjects of marked congenital origin these types do exist. These up-and-down variations, in the same pupil, can not be due as the rule, to inherent rapidity or slo^^•ness, but far more to some temporary and external conditions. Progress in arithmetic, more than any other school subject, is popularly supposed to be controlled by hereditary predisposition. What our records would indicate is that this factor has been greatly overestimated, that the differences among pupils, in native arithmetical ability, are much less than popular pedagogy has taught and that as a rule the variations are due to simpler external conditions. What Becomes of Pupils Who, for a Half Grade, Exceed the Maximum Standard in a Given Subject? At least, in an individual sj's- tcm. there need be no perpetration of the preposterous absurdity of sending the pupil back over the grade to do completely over again not only the subject in which he is partially deficient, but also those in which he is not at all deficient. So far as the pupil has gone, under the individual plan, he is as thorough as the most rapid. He is simply behind. He may continue to lag behind, or, possibly, he may redouble his efforts and catch up. Yet. if, as popular pedagogy assumes, pupils who make slow progress for a half- grade belong to a "slow" type, by mental inheritance, they will continue to fall even further behind. But this condition, in our limited experience, does not appear to be the rule, nor even a noticeable tendency. To make clear this situation, there are grouped below the successive rates of all pupils who have completed at least three half-grades of grammar grade arithmetic and who have made one or more records exceeding 95 hours for a half-grade. The total number of hours and the average rate are also given. Explanation of Tables. Each horizontal line is the record of a single pupil. The first used 43 hours in his first half-grade, dropped to 110 hours (excessively slow) in his second half-grade, and returned to 51 hours in his third half-grade. His total Avas 204 hours or an average of 6S hours — 27 (33) hours less than the standard 95 hours, though he was excessively slow in one half -grade. Number of hours for three half-grades = o 2 3 Average i per half - Number of hours for four half-grades c H =r3 c 2 ^ro One Two Three ?3 1 c 1 ^ One Two Three Four " i. in p f a c 43 110 51 204 68 23 49 132 33 237 60 22 72 131 225 75 31 100 54 54 239 60 84 99 42 225 75 114 41 42 67 267 66 115 65 50 230 77 33 95 96 42 266 67 45 98 91 234 78 60 30 74 105 269 68 96 86 57 239 80 102 76 69 35 i 282 71 44 87 112 243 81 108 67 35 69 ! 279 70 87 45 110 242 81 58 77 113 45 293 74 81 116 44 241 81 53 144 66 30 293 74 63 85 103 251 84 45 103 64 81 293 74 46 129 75 250 84 122 91 34 62 309 78 65 89 97 251 84 128 62 76 49 315 79 63 53 137 253 85 81 96 78 72 327 82 125 78 52 255 85 93 151 58 26 328 82 55 50 150 255 85 82 83 121 62 348 87 55 111 94 260 87 79 146 38 100 363 91 49 104 115 109 81 262 274 88 92 78 132 89 53 53 75 110 274 288 286 292 92 96 96 98 127 80 108 131 106 Number of hours for five or six half-grades o o ll 3-3 76 1 Ptrs 81 100 87 268 98 One Two Three Four Five Six i §■ '^E 118 76 93 114 151 308 319 103 107 1 '~i C." 75 38 76 98 46 82 99 34 67 19 36 271 324 55 65 76 77 121 37 19 330 66 53 24 77 118 33 18 323 54 Features to Be Noted. 1. That no more than two excessively slow rates are contained in any one pnpil's record. (This is thus far true of every pupil's record in every subject.) 2. That no excessive average is found in any series except those of two and three half-grades. In all records continuous for four or more half- grades, all rates in excess of 95 hours as an average are elided by the averag- ing process. (This is true without exception so far for every pupil in every subject.) In other words, we have no pupil who, having completed at least four half-grades, is behind his grade in any subject. 3. That the 154 pupils who have completed three or more half-grades do not constitute an exceptional type, since 45 of them (between one-fourth and one-third) have made at least one excessively slow record. 4. That of the 45 who make records containing at least one excessive rate, all except 6 slow records are averaged out and no pupil exceeds an average of 103 days. 5. That the records of these 154 pupils contain 47 slow rates, 75 medium rates and 32 fast rates. This condition otfers no indication of an inherently "slow" type. (34) So, in conclusion, we may say that the rates of excessive slowness, shown in all the half-grade records are, as a rule, sporadic, due to transient and removable causes. There will be very few pupils, if any, who are pro- ceeding at a rate whieii will cai-ry them through the eight grades of the elementary school in excess of seven years and the bulk are proceeding at a rate to finish in six years and less. There are practically no pcrmaneniUj slow pupils (though a large percentage of them at one time or another exceed the maxinnim standard of 95 days per half-grade), because faster rates average out the.se excessive rates. (35) WHY AND HOW INDIVIDUAL INSTRUCTION CAN BE CHEAPER THAN CLASS INSTRUCTION. Nine persons out of ten, when confronted by the proposal of individual instruction, immediately offer the off-hand conclusion that it is a good idea theoretically — in fact the only way, ideally — but, of course, it could never be put into practice on account of the expense! "How can you possibly apply individual instruction to classes of fifty pupils with one teacher?" is asked. This question is offered as a clincher. It looks like a clincher and the final end of argument. Apparently more teachers would be required and more teachers would mean more dollars. There is, however, a fatal weakness concealed in this question. Its axiomatic assumption that there must be fifty pupils in a class in order that the expense of schooling shall not be increased will bear scrutiny. Para- doxical as it may seem, we may very materially reduce the number of pupils per teacher, and yet actually decrease the cost of schooling. Our hasty con- clusionists have entirely overlooked the fact that the largest item of school expense — and the one which makes fifty pupils to a teacher necessary under class instruction — is the expense of needless waste. Some of these fifty pupils are repeaters ; if we remove the cause of repeating grades, they will not be in the class — they will be further along and perhaps be graduated from the school. Another part — and almost half of them — also would not be in the class were it not for the fact that they are being held back, by the lockstep system ; they also would be further along and perhaps graduated. In short, the condition of fifty pupils to a teacher is not a necessity, but a disease created hy the class system itself. Any remedy which enables pupils to make progress faster, reduces automatically the number of pupils assigned, to each teacher. Let us then first consider these wastes specifically. I. The Waste of Retardation. It costs as much to carry a pupil through a grade for the second time as for the first time. The administra- tors of the school system seem never to have been acutely conscious, nor even conscious at all, of the enormous expense to the school system incurred by the requirement that pupils who fail to keep the lockstep stride shall repeat the grade. There is a peculiarly exasperating feature of this waste. It makes no difference whether the pupil has learned nothing during the entire grade or term or is merely behind to the extent that he might make up the deficiency in a few weeks' work. In either case he must repeat the entire year or term's work at extra expense to the school treasury. The situation is especially exasperating when the pupil is only partially deficient in one subject and must now be given an extra year or term's instruction in the five or six other subjects in which he is entirely proficient. "Well," says the schoolmaster, helplessly, "Avhat can we do about it?" There is nothing, under the class system, which can be done about it except to do what is being done — the pupil must pay the penalty in time, ambition and energy ; and the school treasury must foot the cost in money. There are (36) many cities in the United States in which 40 to 50 per cent of the pupils are repeating grades. There are few cities in which the percentage of repeaters is less^than 25. .Alany of these repeaters are repeating two, three, and even more years. The Russell Sage Foundation has sliown that in twenty-nine scattered cities of the United States, representing 2U6.495 pupils, repetition of grades requires 98,000 extra years of school instruction and its cost! At the average annual cost of $29.27 for schooling of each pupil, it will cost these twenty-nine cities at least the tidy sum of $2,868,400.* The annual loss, due to repetition of grades, is a matter upon which there is yet little relialile data. In some cities, it would .seem that the annual retardation amounts to as many as 20 out of every 100 pupils. In others, the percentage appears low, but a low percentage does not mean consequent higher efficiency. In some cities, the order has gone forth to promote pupils regardless of whether or not they have reached the standard. This device :^?s inefficiency but does not remove it. In fact, we may assume that the cit^So'hich have the higher rate of retardation are likely to be the more eonscientioK and therefore in all probability also the more efficient. Under ai^ individual plan there need be no repeaters. The rate of progress of some pupils will be slower than that of others, but such absurdities as that of requiring a pupil, at public expense, to repeat five subjects because he is behind in one, or to do over in one subject not only what he has failed to learn but also that which he has learned, are elim- inated. If the grade standards are set at what the slowest pupil can accomplish there can not be even laggards. As our figures have shown, the rate of the slowest pupil (not subnormal) under individual instruction, is faster than the rate of the class system. II. The Waste of Unused Acceleration. The pupil who completes in 20 days an amount of work for which the grade standard permits him 95 days, advances himself 75 daj'S. He also saves to the school system the cost of instructing him for 75 days. As we see, in the records of variation, all pupils with rates less than 95 days, advance themselves, and save to the school treasury the cost of instructing them the full 95 days each. When we add the hours of instruction each pupil thus saves to the school system, by acceleration, we have saved a huge percentage of the school time. For illustration, let us take the records of teaching 76 pupils addition of integers (p. 39). By adding the time each used in completing this work, we find the sum to be 3,658 hours. But each could have used 95 hours and yet not have fallen behind the standard grading; for all the 76 pupils the total time permissible would have been 7,220 hours (95 X ''^G). The differ- ence between the actual time is therefore 3,562 hours (7,220 — 3,658). In other words, the combined accelerated rates of the 76 pupils have saved to the school treasury the cost of imtruciion of 49 per cent of the standard allowance. *Mr. Ayers of the Russell Sage Foundation has complicated his estimates by counting acceleration (by "skipping grades") as an asset. It is a questionable asset in any sense. But certainly skipping grades should not be figured as an offset to retardation. They are two separate items, in no causal relation to each other, and must be figured separately. (37) 43252 This saving' by acceleration over the standard rate is an asset wholly unknown, and impossible, under the lockstep method (except in the form of the questionable feat of "skipping grades"). The class system entirely Avastes this huge item of saving. All pupils are crowded down to a single rate — and this is a rate xvliich is slower than that of the slowest pupil, inclividually instructed. The following tables undertake to illustrate the amount of this saving. AVe will take first our variation records in reading. Reading. Number of pupils Actual number of days standard number of days Saving of days Saving in per cent Low 1: Primer - _ 45 65 60 53 65 66 59 43 3,327 4,785 4,434 2,954 3,350 3,896 3,380 2,478 4,275 6,175 5,700 5,035 6,175 6,270 5,605 4,085 948 1,390 1,266 2,081 2,825 2,874 2,225 1,607 22 High 1: First Reader — _ _ __ 22 Low 2: Second Reader. _. . -- 22 High 2: First half Third Reader _ _ 41 Low 3: Last half Third Reader 45 High 3: First half Fourth Reader. . 45 Low 4: Last half Fourth Reader 39 High 4: Fifth Reader completed 39 Totals — _- 456 28,104 43,320 15,216 35 Explanation of Table. Following the first horizontal line, the figures state that there are records of 45 pupils, completing the low first grade. By adding the actual number of days each used in completing this half-grade, we obtained a total of 3,327 days as the combined time used by the 45 pupils in completing this half-grade ; but, each pupil could have used 95 days and yet not have fallen below the standard time; so we may multiply 95 days by 45 (number of pupils) and our result, 4,275 days, represents the time these 45 pupils might have legitimately used without retardation ; the saving is obtained by subtracting the actual time used from the standard allow- ance; we obtain 948 days as the school time saved by the surplus of accelerated rates over the retarded rates, or a net saving of 22 per cent (948^4,275). The saving of the time allotted to giving instruction in reading has a money value to the school system. This saving is nearly one-fourth of the cost of giving reading instruction to a class of 45 pupils for one-half year — cost of teaching, school plant, maintenance and administration. The totals show that 456 pupils actually used 28,104 days in completing various half-grades of reading progress. They could legitimately have used 95 days each, or (95 X 456) 43,320 days. The difference between the actual time used and the allotted time, 15,216 days, represents the saving, by acceleration, of these 456 pupils. The records indicate approximately the large saving in the expense, possible under an individual system, but wholly wasted under the class system. So far as our records go, it is shown that 35 per cent of the school time and energy allotted to instruction in reading is saved, and is available for other purposes. The next tal)le shows the saving in integer arithmetic time. (38) Integer Arithmetic. Nu.n'jer of pupils Addition of integers --.- Subtraction and multiplication ot integers.-. Short division ;t"'". Compound multiplication and long division.. Totals 76 54 68 60 Actual Standartl hou.a number used of hours 3,658 3,786 3,715 3,912 7.220 5.130 6,460 5,700 Saving in hours 3,562 1.844 2.745 1,788 258 ' 15.071 24,510 i 9,439 Sarins in per cent 49 26 42 31 38 Advanced Arithmetic. Low 5: Addition and subtraction of fractions and decimals High 5: Multiplication and division of frac- tions and decimals, denominate numbers Low 6: Problems and review in State Text to percentage High 6: Cases I and II of percentage Low 7: Case III, of percentage, interest, com- mission and banking. State Text High 7: Taxes, duties, insurance, discount — Low 8: Plane figures, areas, square root and applications Xumljer uf puplU Totals 125 130 128 135 106 84 52 Actual 1 standard i ggving hours number j^ i,ouis used of hours 8.380 9,126 8,855 10,116 6,197 4,416 2,996 11.875 12,350 12.160 12,825 10.070 7,980 3.495 3.224 3,3a5 2,709 3,873 3.564 4,940 1.944 Savins in per cent 760 50.086 1 72,200 1 22,114 29 26 27 21 38 44 39 30 History. Number of pupils Fifth: Elementary 78 Sixth: Advanced text (McMaster's Brief), first half 103 Seventh: Advanced text, completed 9< Actual number of hours standard numbe.- of hou;s 4,657 7,98r 6,743 Totals 278 | 19.381 ! 26,410 7,410 9,785 9,215 Saving in hou.s 2,753 1,804 2,472 7,029 Saving in per cent 37 18 26 26 Geography. Fifth grade .. Sixth grade _ Seventh grade Eighth grade Totals Number of pupils 134 Actual Standard gavlng number number jjj hours of hours of hours 3,259 2,271 1,263 I.107 5,225 1,966 3,420 I 1,149 2,375 1,112 1,710 I 603 7,900 1 12.730 4,830 Saving in per cent 37 33 46 35 37 Grammar. Number of pupils Fifth grade .. Sixth grade _ Seventh grade Totals .— Actual number of hours 92 5.380 93 ! 4.936 87 ; 5,153 272 15,469 standard number of hours Saving in hours 8,740 3,360 8,835 \ 3,899 8,265 3,112 25,840 1 10,371 Saving In per cent 38 44 37 40 (.SO) The Significance of These Tables. The confusion must not be made that this saving in accelerated rates represents the entire difference between individual and class instruction. The next section will show there is another considerable factor in this difference. The present figures show merely the saving in acceleration upon the basis of our own grade standards, represented by the rate of the legitimately slowest pupil (95 days). Although there is considerable variation in the amount of acceleration in the different subjects, due to inequalities in standardization, we may say with some assurance of approximation that this acceleration, is between 35 and 40 per cent inclusive of the few heavy losses by retardation. It means that we may expect to save by acceleration alone, some 35 to 40 per cent of the school time based upon an eight-year course for the slowest pupil. The saving in money expense is proportional. III. Frictional Wastes of the Class System. There is another con- siderable waste by the class system, not clearly explicable as to cause, by which the rate of the class is slower than the rate of the standard set for the slowest pupil under the individual system. Probably the fairest comparison of .standards between the usual class requirements and those we are using is in reading and arithmetic. In reading (p. 38), it will be noted that our standard for promotion from the high fourth grade is ability to read understandingly the State Fifth Reader (Stepping Stones to Literature, Book V). But throughout the United States generally this book is completed at the end of the fifth grade, and, in San Francisco at least, is the standard for completing the low sixth grade. Our standard, therefore, means that our pupils are completing in four years what the class system is completing in five, and five and one- half years. But, further, our standard of four years is the rate of the slowest pupil and the present records indicate that none will take longer; our fastest pupils are upon the road to complete this work in less than two years, and the others are distributed evenly between these extremes. In public schools using the class system, on the other hand, over 50 per cent are falling by the wayside in the effort to finish this unit in five years — five or five and one- half is the rate of the survivors! Similarly in primar}' arithmetic the standard which our slowest pupils are meeting is that of completing integers, fractions and decimals at the end of the fourth year. The fastest pupils finish in much less time. Yet under the class system this amount of work is only reached by the survivors of the fifth grade, and in some schools a part of the fifth — after 30 to 40 per cent have become laggards to the extent of one, two, three or more years! The.se are illustrations. It is evident that there are frictional factors operating in the class system which retard its speed, over and beyond the mere unused factor of acceleration. If we reduce these facts to figures, we shall find that the actual gain of acceleration by our pupils under an individual system over the rate of pupils in the public schools is, at least, considerably over 50 per cent. It means we are saving considerably over (40) 50 per cent of teaching time, and therefore considerably over 50 per cent of the cost of instniction. , , • ^ It does not, however, mean that, necessarily, the saving m school instruc- tion of considerably over 50 per cent will also reduce the time required by each pupil to complete the eight grades by four years. A certain portion of the waste is confined to administration and does not affect the rate of individual pupils' progress. IV The Wastes of Attempting to Teach All Pupils That Which Only a Few Can Learn or Have Occasion to Learn. The teaching of music, art and literature in the school classes is greatly handicapped by the effort to teach all the pupils what only a few, by the gifts of native endow- ment can accomplish. Encouraged by the ambitions of teachers, the stand- ards in these subjects have been set by the school system, as a rule, for the lifted The non-gifted can not reach them because they have not the native abilities The gifted, on the other hand, can not reach them because they are locked in step with the non-gifted. The result is a general bankruptcy of these subjects Avhich makes them wastes of time with no benefit to any, and general injury to all. We are at present handling the types of exceptions by this device : in the regular morning session we give the minimum course for all. In the afternoon pupils may return for additional work upon specialties or subjects in which thev have marked talent. We first save a large amount of school instruction by cutting out a large part of the pupils who have manifested no • abilities. From this saving we expend a part by giving thoroughly and in an advanced degree what it is profitable for each to acquire. This pro- cedure is so new that it would be impossible to estimate the saving in time, or the increase in efficiency. A similar series of wastes occur in other sub- jects which may be illustrated by grammar grade arithmetic. About two years of our arithmetic might be termed vocational arithmetic. At least it assumes to prepare the youth of the land to do the arithmetic pertaining to some vocation— shingling, carpeting, paper hanging, surveying, brick laying, banking, commission, brokerage, bond buying, stock jobbing, buying and selling horses in mystifying terms of per cent and indulging in other transactions by processes unknown outside school texts. Of course, most of us know that these school processes are not the processes of the vocations themselves and that, even if they were, no end, save time-killing ends, is served by these school inflictions. But under the class system none can be excused because aU must pursue the same course, and because, so our theory runs, a few might become bricklayers, or bank clerks, etc. Therefore, we require all to learn the alleged arithmetic of each trade in the fear that some might not be able to do the arithmetic of his own. Little girls "go through" (but do not learn) the school arithmetic of brick laying, shingle laying, etc., because they are in the class, and they can't be promoted unless they have covered the class course. The individual system at least will be an entering wedge to cleave this pedantic folly. When, individually, we require little girls to master the arithmetic of shingle lajang, etc., the (41) absurdity will be more pertinent and more forcible. We will then tend to excuse each from at least large parts of this "vocational" arithmetic since we can do so as easily as not. Each pupil excused from the task means also that the school treasury will be excused from the cost of so much useless instmction. It is probable that in time most pupils would be sensibly excused from most of this two years' profitless arithmetic. Similarly, we may excuse from writing all pupils who once acciuire the habit of legible writing ; from spelling those who spell ; from composition those who once acquire the forms of correct written language. In fact, the sum of these various small economies of school time attains very considerable proportions in bulk. V. The Waste in Permanent Plant. If, as our records indicate, prac- tically the slowest pupils will complete the elementary school of eight grades in seven years, the fastest in five years and the mass somewhere between these extremes, it follows that the number of pupils attending school at any given time will be very materially reduced — probably 40 to 50 per cent. Pupils who are now spending eight to twelve years in school will not attend more than five to seven years by reason of the elimination of wastes. The school plant can give the same service and yet be 40 to 50 per cent smaller, reciuiring fewer buildings and less eciuip- ment. The administration and maintenance, janitor service, repairs, and depreciation costs will be proportionately reduced. VI. The Unmeasured Waste. There is one other waste of the class system to which I have not alluded, although while its money cost is the largest and most overwhelming, yet this money cost is the least of its evils. Statistics show that considerably more than fifty per cent of the pupils of the American public schools leave before they complete the elementary depart- ment. In other words, considerably over fifty per cent of our citizens, fathers and mothers, enter life without completing the rudiments of school- ing! If school education has only a fraction of the value the American people have emotionally placed upon it, this single fact is one to justify a general national alarm. What must be the effect upon the ability of each to provide for himself, to receive the wages of right and healtbful living, to avoid the pitfalls of ignorance, social evils and wrong citizenship? What is the effect of ignorant citizenship, unproductiveness, dependency, crime, and degeneracy upon the nation? What, indeed, is the money cost to the nation that over half its people and voters have not the capital of intelli- gence represented by a rudimentary schooling? There is nothing so profitable, so economical, so asset-producing, as human intelligence; and on the other hand, there is nothing so profit- consuming, so wasteful, so bottom-scuttling to any enterprise — be it indus- trial, social, civic, or moral — as human ignorance. Intelligence or ignorance are the commodities for which the school system is, or may be, the respon- sible manufacturing plant. If it produces intelligence — intelligence to meet life's problems, adequate to the world's accumuhited wi.sdoiii — then its value (42) is incalculable. But, on the other hand, our school system throws out fifty per cent of our people into lives of i^'-norance — and its cost is fearful at any price. Nothing Which Is Inefficient Can Be Cheap. These enormous wastes which have been enumerated are inherent in the class system; they are the necessary consequences of it. The individual system removes the cause of them and therefore, their cost. The arju'ument of cost is a boomerang against those who, with more haste than reflection, have raised this issue. The farmer who attempts to save money by using inefficient tools stands to lose his crop. In no form of modern business, public or private, do we admit that an inefficient or w'asteful tool or process can be cheap — why in the school business? If the individual system can do the school business without waste, then its money co.st must be less than the present class lock- step carrying a waste of considerably over fifty per cent. Let no one defend lockstep schooling upon the delusive plea that it is cheap! The Size of the Class. With the data upon wastes by schooling pupils in groups, let ils return to the question stated in the beginning of this chapter, "How can Ave possibly apply individual instruction to classes of fifty pupils with one teacher?" The fallacy that it is necessary to have fifty pupils to a teacher, contained in this form of the question, is the only obstacle in the minds of most people, for not uprooting the lockstep. If we divest the schools of the wastes occasioned by the lockstep, it will not be necessary to have anything like the ratio of fifty pupils to a teacher, and yet nevertheless reduce the expense of schooling. For illustration, let us sup- pose that in a city there are ahvays 1,000 pupils in the schools under class instruction and that upon the average they require ten years to complete eight grades. This number of pupils at fifty pupils per teacher would require twenty teachers. Let us now suppose that the rate of progress is so hastened that upon the average only five years, or one-half the time to complete the school is required. As soon as this condition is established, there will be in school, at one time, not 1,000 pupils, but only 500. The 1,000 pupils will all receive their schooling as before and therefore there is no need to reduce the number of teachers. Conse(iuently, each of the twenty teachers would have, not fifty pupils, but only twenty-five. The salary expense remains unchanged. The above situation is an illustration. It is not probable that individual instruction will reduce the rate of progress quite to the extent of one-half, but we may re.st with some assurance upon a reduction of 30 to 40 per cent. This would mean a reduction from classes of forty to fifty per teacher to twenty-five to thirty-five per teacher; if the ratio is forty to fifty, classes of thirty to forty would be reduced. The (piestion now arises upon what ratio of pupils to teacher we can operate an individual system. This question can be answered with any exactness only by experience. AVhat we are doing in a normal training school would be no index of what could I)e done by experienced permanent teachers. But. in the event it should prove necessary to employ some additional teachers, the cost could be abundantly (43) met by the savings of the wastes of the class system. The reduction in the size of classes would be accomplished by the elimination of retardation and the establishment of acceleration. The savings from the other wastes enumerated would create a fund which would far more than meet any special expense of individual instruction. Under "Application to City Schools" in the next chapter this matter will be more specifically discussed. Summary of the Saving in Cost of Schooling by the Individual Plan. 1. That the extra instruction by repetition of grades necessary under the class system and amounting to 12 to 20 per cent of the cost of present schooling will be entirely eliminated by the individual system. ,2. That by permitting pupils to make progress individually, there will be introduced the factor of acceleration. The combined acceleration will accomplish a saving of 25 to 40 per cent in the time and cost of elementary schooling. 3. That the more rapid progress of pupils through school will reduce the number of pupils in attendance at any one time and thereby reduce the size of the school plant necessary by 30 to 50 per cent. The saving of interest upon excess investment, maintenance and repairs, janitor service and administration will be appreciable. 4. That by giving each pupil just the training his abilities and possible needs justify, and cutting out the waste of the attempt to train all pupils to the same degree in every subject, regardless of need or ability, will yield a saving of at least 10 per cent or more. 5. That all these savings combined are considerably in excess of one- half the cost of present schooling by the class lockstep. 6. That by reason of the faster progress of pupils and the consequent smaller number of pupils in school, at any one time, the number of pupils per teacher will be decreased — probably 30 to 40 per cent. In city schools the class of 40 to 50 would be reduced to 25 to 35. If, after experience, it should be deemed desirable to employ some extra teachers, still further to reduce this ratio of pupils to teachers, the cost would be abundantly met by the savings enumerated and yet a tidy balance left in the treasury to the credit of the individual plan. Advantages to Education by Individual Instruction. 1 . All pupils, without any conspicuous handicaps of mind and body, or of regularity in attendance, would complete the elementary school of the present eight grades in five to seven years; if these pupils entered school at six years of age, they would graduate at ten to thirteen years. 2. The present appalling drop in school attendance, before the majority complete the elementary school, will be avoided because practically all will complete the school before the ages at which this drop now occurs. 3. Practically all children will complete the elementary school, thereby acquiring the rudiments of an education, and whatever this fact may mean to self-support, social advancement, personal comfort, greater intelligence (44) of citizenship, better government, lessening of dependency, disease, crim- inality, etc.. will be reaped. 4.' A new type of high school would by necessity be created, to receive pupils at ten to thirteen years of age; this would mean the teaching of languages, mathematics and sciences earlier and extending at the latter end. into vocational preparation and collegiate grades. If this school also were operated upon the individual system, double or nearly double the work of the present secondary school would be accomplished, giving a broader, firmer and more thorough preparation for college or life— a much needed reform. 5. Elementary night schools, except for the foreign born and those who are victims of special accidents in educational opportunity, will be unnecessary. 6. The percentage and degree of illiteracy in present citizenship will be greatly eliminated. In re EVERYCHILD, a minor, ) vs. > LOCKSTEP SCHOOLING. ) Figure out in any way we will the far-reaching significance of the facts. Do they not mean that, by official decree of school administration, for every five hours of school time, some pupils are marking time for one. two, three and even four hours? Do they not mean that if the cause of this time waste Avere removed, most pupils will have two, three, and four times as nuich time in which to learn other useful things in life preparation? Do they not mean that over ope half of the school children, now graded out as school misfits, to become life misfits, could, if permitted to work at their own rate, get just as much out of their schooling as those who now mark time? Do they not mean that the present school plant could, under individual instruction, accomplish what it is now accomplishing, with at least half the expense, and use the other half for improving itself? If these things, as presented, be true — and tliey easily may be verified in any school — then argument is at end. Be you parent or citizen, school administrator or teacher, the case of Everychild upon the threshold of life, floundering in the coils of red tape of traditional schooling for the opportunity to make his life worth the living of it, is up to you. And the cause of Everychild, let us not forget, is not a personal cause alone, but it is a cause which is the root of social pros- perity, of safe citizenship for the State, and of human progr&ss. (45) APPLICATION OF THE INDIVIDUAL PRINCIPLE TO VARIOUS TYPES OF SCHOOLS. The principle of individual instruetion has been shown. The practical applications of this principle to the various types of schools — the rural school, city schools, high schools, night schools, etc. — are matters of adminis- tration. The special application of individual instruction to a normal school training department, M'hile probably the most complex and difficult of all. offers few suggestions for city schools. The conditions and pur- poses are in most cases altogether different and in some particulars directly reversed. HoAvever, with the exception of the large city cla.ss. existing administrative conditions are such that an easy beginning could be at once made with slight modification. 1. Application to Rural Schools. The form of the rural school of usual size, say twenty to thirty pupils, is sufficiently like the conditions of our training school to justify assurance that, at least with printed exercise l)Ooks for pupils and manuals for teachers, the general methods of operation we are now using can be applied to the rural school with little or no modifi- cation. The larger rural classes, forty to fifty pupils, offer greater diffi- culties, but most teachers of these schools seem to agree that with the exercise books the individual plan lessens their labors, for these books pro- vide means of independent work by pupils. The principle of the reduction of the size of classes, by virtue of the faster progress of pupils, would doubtless finally assist the movement toward transportation of pupils to central schools. Already there is a large number of rural schools of only six to fifteen pupils and their farther reduction in size would mean approach to extinction. 2. Application to Night Schools. To the night schools the individual method offers i)ar'tieular advantages. It is to these schools that a percentage of the "misfits" turn after realization of their predicament. The night school is a poor educational idea, for its pupils are usually youths and men who already have put in a hard day's work and are in no condition physically or mentally to forego rest and sleep. But as a cla.ss. they are extremely eager, self-reliant and capable of independent, self-directed study. ^Moreover, as a matter of fact, the night school work is necessary individual because th^ students come to the school in all stages of progress and capa- bilities of advance. The loekstep cla.ss system, when rigorously applied in night schools, is little short of brutal. If any class of students in the Avorld need and should have the opportunity to use their time profitably and effectively then it is this class. The Self-Instruction Series which has been prepared fits these needs because it enables each student to work without nnich or any assistance from teacher. The pu})ils have the eageriu^ss and maturity, as a rule, to make efficient use of this opi)ortunity. Further, by the use of these exercise books, students can work individually outside the school. In fact, the materials are here offered for a new type of night school — a school which should devote its energies chiefly to giving help to (46) individuals ovci- liard i)lai'('s. Studnits need not attend every night but could work in their homes during' spare hours of the day and at their con- venience, and go to the school merely for occasional help from the teacher and to have work corrected. Such a plan would make the night school several times more eflficient. 3. Application to High Schools. Anything to be said upon the appli- cation to high schools is, of course, conjectural. But there are certain con- siderations Avhich justify assurance that the high school is peculiarly adapted to individual treatment and that the results in rapidity of progress, development of self-reliant habits, and thoroughness would be, if tried, even more startling than in the elementary school. 1. The pupils are older, more mature, and will even more keenly com- prehend and appreciate the opportunities offered. Our- experience shows that the motive for progress is the most powerful of all motives when once aroused. 2. The pupils being more familiar with reading, can better and more easily work from texts unassisted by teachers. Special pupils' exercise books probably would not be so necessary to assist comprehension, but some system of elastic lesson should be devised so that students who do not need as much exercise to impress a given principle as others may not be unneces- sarily delayed. 3. The subjects of mathematics, the various sciences, especially in laboratory form, much of language teaching, wide literary readings, voca- tional training, especially lend themselves to individual instruction and the adaptation is manifest and easy. 4. The increased interest, greater rapidity of progress, al)sence of dis- ciplinars" friction and the sense of self-reliance, characteristic of individual instruction, would each be poAverful incentives to hold pupils in the high schools and give them greater grasp upon life when they leave school. Let some one try it. 4. Application to the "Special Class." It has been the habit in some schools for many years to nuiintain what are called "special classes" for the benefit of "misfits." They are the only device, aside from repetition of grade, which the class system has used to remedy the evils of the lockstep. These classes, as a rule, are already operated under a crude forin of indi- vidual teaching. Generally, only a limited number of pupils are permitted to a class. A superior teacher is assigned to each class, and the method has been that of individual instruction. Without other tools than the usual texts, the teachers of these classes have, as a rule, rendered good account of their charges, and frequently have brought backward pupils forward so rapidly that they regain their original grades. Our plan would further assist such classes. There is a suggestive lesson to be drawn from these special classes : This use of the individual principle has been used as a "cure" for lockstep evils. Why not as a preventive? If the principle ujion which they operate succeeds in advancing pupils who have been graded out by the lockstep, why should the principle not be used as the regular (47) principle of all classes? AA^hy should we wait for the damage to be done, and to be recognized as particularly atrocious before we invoke the prin- ciple ? The idiocy of the man who locks the stable door after the horse has escaped, has its bearing upon this ease. If the principle is good, all pupils should have the benefit of it. The existence of the "special" class is evi- dence of an existing disease — the lockstep. Why not use the fact as a warning lesson and proceed to the source of the disease in the class system itself? What our schools need is an abatement of an evil, not merely the cure of a very few of the occasional examples of it, which happen to become conspicuous. Application to the Teaching- of Subnormal Pupils. The problem of what to do in the school with subnormal pupils is one which already has been taken in hand by many cities. As a rule, they have been segregated into special classes and the effort made to teach them by instructors trained for this purpose. There has been no question but that the teaching must be individual. The class sj^stem with its lockstep of movement, its single standard of method, and its necessary principle that those whose mental construction does not meet fairly well these fixed conditions must be regarded as misfits to be eliminated, finds itself at unavoidable war with the mentally deficient. There can be no compromise, because both the school system and the individual mental qualities are fixed. Until a system of schooling is devised and constructed in detail to permit variations among pupils, we must expect in every group to have listless, idle, uninterested pupils, a burden upon the progress of others and a ceaseless drain upon the teachers' energies. Not all of these pupils are subnormal. Some are pupils to whom have not been offered the suitable method or stimulus. If a pupil is distinctly feeble-minded, we may not expect ever to teach him, but it is important not to mistake a pupil who merely has not been stimulated by the right method for one who is distinctly lacking. We certainly must not relax effort until we are certain. It is useless, for example, to attempt to teach a true monotone to sing, but we must be first sure the pupil is a true monotone, and not merely one in whom tone has not been developed. The class system is helpless to deal with either type — either the pupil M'ith the undeveloped Ciuality or the pupil fundamentally lacking. It can do nothing except to eliminate such pupils from the class, where they can nO't be other than a nuisance and drag upon their fellows. But the policy of segregating backward pupils is open to severe objections. To segregate those who are supposed to be subnormal is to designate them as such. Whatever the administrative subterfuge employed, the pitiless fact, sooner or later, reaches the pupil and years afterward he may be called to face the stigma that he ivas taught in a class "for idiots." Parents very properly object to this segregation. The situation is aggravated by the fact that only a small percentage of the suspects placed in these classes are truly deficient — more often they are merely the accidental victims of the lockstep. The true subnormal has no place in the school system under any conditions. There is no value in attempting to teach him school work, for in any (48) adequate degree, this is impossible. He is born a dependent and must remain one under some form of family- or state protection. The important problem is first to determine, in the borderland eases, the truth, definitely and finally. This must be done in the school, and, desirably, without segre- gation. In very recent years, a flood of light has been let in upon the physical causes and conditions of the mentally deficient. By such exhaustive and practical studies as have been made by Doctor Plenry 11. Goddard of Vine- land, we are brought face to face with the realization that the range of mental powers is limited in a fixed way by heredity. In many respects these facts are unpleasant and contrary to what Ave would like to have true, because the possibilities in many human lives seem predetermined and foreordained. No idiot, imbecile or moron has ever yet, by any process of education or training, been lifted from one of these classifications into a higher order. Their whole lives mu.st be compassed by their hereditary limitations. They may be trained and developed, ivitliin the limits of the classification, but can not cross the boundary. These are depressing facts to face. AVe may wish and hope that there may yet be found some avenue of escape, for those so limited, but the struc- tures of education must be built upon a basis of truth, however unwished for, and not upon hopes, however desirable. A prominent administrator of a state school system recently argued "you will still have, under the individual system, the subnormal pupil to deal with, just as we have him now in the class system. These subnormals are one chief cause of the clogging of the school system with repeaters — especially in the lower grades. They will also be with you in the individual system and will overburden the average rate in the same way. ' ' The sub- normals overburden the class system because the class system is hopelessly attempting to force them to do ivliat is impossiUe for them to do and because, by the rigidity of its lockstep, they can not be given work which they can pursue with the greatest profit to themselves. The individual system makes a condition which relieves all these diffi- culties. If the deficient remain in the same classroom they affect no other pupil's progress. Provided the teachers are properly trained to use different types of methods adapted to them, there is no need for segregation. Or, teachers of special training may come into the rooms to give instruction. The condition is entirely possible that different courses of study, suitable to each individual, could be provided and when this provision is made, the deficient pupil ceases to bo a school problem at least. 5. Application to Large Classes in City Schools. It has already been shown in previous chapters tliat the cost of schooling by individual instruc- tion in city schools would be cheaper by rea.son of the elimination of wastes. It also has been shown that without increasing the number of teachers, the number of pupils per teacher, by reason of faster progress, would be very materially reduced— in all probability that with the same total of pupils to (49) be schooled, the ratio of forty to fifty pupils per teacher would be auto- matically reduced to twenty-five to thirty-five, and that any increase of teachers or other possible costs would be amply met by the saving of waste. The problem of introducing the individual principle is therefore sim- plified to one of administrative remodeling with the assurance that there will be no increase in cost, and a probability of a substantial decrease. What the most suitable framework shall be can only be determined by experience, trial and successive adaptations. That it will be anything like the present classes would seem the furthest removed from desirability and likelihood. It is true that the automatic reduction of the present large classes to those not exceeding twenty-five to thirty-five would suggest the possibility that one teacher could handle such classes by individual instruc- tion without difficulty. But there are other considerations which point to the greater advantages of a complete remodeling. For example, the modern tendency toward the employment of special teachers is working out merely to superimpose a corps of special teachers upon classes already provided, to the limit of cost, with regular teachers. There is consequent lack of economy because either special or regular teacher must be idle while the other has the class. We need a system by which adjustment of instruction can be made economically. There is nothing so sacred about our class organization that w^e need to have anj^ aversion to casting it into the junk pile if a better plan is visible. As the administrative system under an individual plan is taking shape in mj' own mind, I see, not a small classroom of forty to fifty pupils with a single teacher, but a large room containing 200 to 500 pupils. Around it are small offices; and also shops, laboratories, libraries, workshops and other rooms for various special purposes. In these offices will be the teachers and a new type of school officer — an expert examiner. Each teacher will be a skilled expert in some one field who will take a pupil into his office for individual instruction whenever necessar}-. Pupils will work individually by themselves, in workshops, laboratories, study halls, etc., will be much more self-reliant than under the class system, and will recjuire the teacher only for help in critical difficulties. The examiners will be experts in testing the progress of pupils and will determine their promotion, necessity for study upon special difficulties, etc. The smaller classrooms will be used, not for recitations, but for training in oral discussions, for laboratory study, music, etc. It would be the purpose of this administrative system to meet each indi- vidual jiupil's needs, to provide, in much greater variety, means of educa- tion thi'ough studying things rather than books, through activities rather than through memorizing, through personal initiative rather than through teacher-imposed tasks. Above all, such an administration would be con- stantly upon the alert to prune out wastes, to see to it that each pupil is doing what is clearly profitable to himself in an individual sense. AVhen we first come at the problem of applying the individual principle, we naturally assume that the preservation of certain old furniture of the class system is a vital consideration. Let us realize at once that it is not (50) part of the problem of adapting the st-hool system to the use of the indi- vidual, to preserve the wasteful and cumbersome administrative junk which has been the special paraphernalia of the class system. It is true we will have upon our hands this litter of the old tools and structures of the class systems — dogmatic notions of mind, texts, classrooms of a certain size, duties of teachers, size of classes, types of in.structors and instruction, disciplinary rules and regulations. Do we now expect to operate an entirely different principle and yet retain these cumbersome implements created and shaped specially for the class lockstep ? It is natural that the first series of ques- tions should be combined with groping attempts to preserve the old machinery along with the new principle. We are constantly asked such ciuestions as these: ITow can you promote a pupil to another room? How can one teacher hear fifty pupils recite? How do you keep pupils from being in the eighth grade in reading and in the sixth in arithmetic? If your pupils graduate from the grammar school at eleven years of age, where are they going to go to school— they 're too young for the high school ? How are you going to transfer pupils from an individual school to a class school? If pupils are studying dift'erent subjects at one time, how could you send a class out to manual training or cooking? The situation is not unlike that of the old farmer who for forty years had accomplished transportation by means of a buckboard and a mule. Automobile transit tempted him and he conceived the notion of buying merely a gasoline engine and of tying it to the buckboard. The thing did not work and he kicked it to pieces, declaring the trouble was with the engine. "Besides," he said, "there ain't no place to hitch the mule. ' ' It does not at first readily occur that all these ques- tions as.sume the retention of the cla.ss machinery which bears as much necessity to an individual system as the old buckboard bears to an auto- mobile. It is hard to realize that it is the buckboard and mule which must be changed — not the new engine. The first thing in planning reconstruction is to get firm hold of the fact that considerahlif more than lialf the money now expended in maintaining the class system is expended in maintaining wastes which individual instruc- tion eliminates — waste of repeating grades, waste by making no u.se of acceleration, waste of nuiiiitenance of a plant almost double the necessary size, waste of unnecessary friction, wastes of attempting to educate all pupils in lines for which they have either no ability nor use, because some may possibly have the ability or use, etc. Most of the class machinery has been used to perpetuate these wastes. Let's away with it. Objections to Individual Instruction in Class Divisions. The simple notion of ti-ansforming the cla.ss system into an individual plan, merely by having the class teacher do individual work, seems to us an impracticable project. It is true there are practically no recitations and the time usually devoted to them may be saved; but this condition greatly increases the amount of written work even if pupils make no faster progress. Pupils will, on the average, make nearly double the progress, Avhich again greatly increases the amount of work to be corrected. The plan of having (51) "readers" of written work to assist the teacher has been suggested and this device would perhaps do as a temporary expedient until the classes are reduced in size by virtue of more rapid progress. However, since there is no visible reason why the plan of classes of fifty pupils should be retained, it would be better in our judgment to plan at once for a radical remodeling of the entire administrative plan. It might be stated in this connection that, during the past year, one large parish school in San Francisco, St. Peter's Parish, has adopted the individual plan and is noAV carrying it out very successfully though the smallest class is over fifty pupils and only one teacher is assigned to a class. The teachers are enthusiastic, yet I can not but feel that these results are accomplished by a labor and devotion which we ought neither to expect nor permit. In summation, Ave may say that the establishment of an individual system in city school systems will probably best be reached by radical remodeling of the administrative system. The exact form will have to be worked out in a city school system by experience. The suggestions made are merely by way of illustration of possibilities. The problem can not be difficult for, in any project of this kind, the financial element is a determining factor, and we have shown that the wastes of expense by the class system, which the individual system would eliminate, would provide ample means even for the most radical remodeling. It is true that for the four or five years during which the changes were being accom- plished, while the supply of repeaters was being worked out and the gains of accelerated rates were being established, the cost would be temporarily increased. In four years at most, however, the change could be entirely accomplished and thereafter the saving of pupils' time and the school expense would be operative. SUPPLEMENTARY FEATURES. There are certain consequences of individual instruction of such impor- tance as to deserve mention. Thej^ are stated as follows : Self-Reliance. There is no more vital factor of success than the quality of reliance upon self. Without it, education, wealth, native abilities and other advantages, important as they are, are well-nigh worthless. Success is to him who creates opportunity' by his own energy, and failure is born of tlie expectation that opportunity is fed to us by a spoon. The man of self-reliance is he who says that if this thing is to be done, then he is the one who shall do it. Failure is by him who complains that others failed liim. Self-reliance is an attitude toward life, born of habits. The pioneer, and the boy and the girl reared upon the farm a generation ago, usually had the advantages of this training. Self-reliance has rarely been a product of the school, and when we ask ourselves why this is so, Ave see that it is prac- tically impossible for self-reliant attitudes and habits to be developed by the dependency necessary under the class system. Schooling by class is training chiefly in dependency upon others. The individual learns to move only when the class moves, and in the set manner in Avhich it moves. The individual therefore waits passively until the class is told what to do. and (52) how to do it in unison. Conformity and obedience to dictated, uniform procedure are necessarily the chief goals of the school, and individual diversrence of any kind must be sharply suppressed. To think for one's self, to do for one's self, to use self-initiated energy in the school class. nece.s.sarily are "verboten." The pupil is daily trained passively to be led. to be urged, to move by order, and only when ordered. The motor of his action is outside himself. Necessarily the class method of instruction must, day in and day out, teach that false and most debilitating lesson, that the thing to do in life is to do what is measured out for one to do — never more under any circumstances, and as much less as possible under all circum- stance's. "We have, through our schools, carried the spoon-feeding process of infancy forward into the hunting period of youth. Yet the time comes when youth must go into the forest alone, shape his own tools and weapons and make his own kill. The wolf pack which reared IMowgli knew more of true schoolmastership than we. Can we measure the silent force of twelve or more years of school train- ing of this kind upon the later man 1 Can we wonder that the spines of our school-bred products too often are gristle instead of bone, and that their heads are filled with undigested sap ? Is ther& anj'^ reason to doubt that this attempted suppression of self-reliance and initiative are chiefly responsible for the instinctive spirit of rebellion against the school, so common among the more virile typas of young boyhood? And which is truly right — the intuitions of the boy. or the perverted system of our schooling? That the self-made man has a something which often overbalances the vastly superior advantages of the school-bred product, is an anomaly which long has puzzled the schoolmaster. The quality is self-reliance. The individual method elides the lockstep. It therefore opens the door for training in self-reliance. It teaches the truth that for ' ' every day, and every hour, we receive a just reward for all we are." Each step forward must be the child's own step, secured by his own exertion, dictated by his own ambition, and accomplished by his own individual thinking. There can be no explanation to self, or to others, that his shortcomings are due to others or that success is an accident of chance. It is as valuable that the pupil should acquire the attitude of self- direction during his school life, rather than the attitude of a galley slave obeying orders under exaction by outside force, as that he should learn the school knowledge. It is the difference between slavery and freedom. Thoroug-hness. Under the class system, the class, as a whole, moves forward, but the comprehension of the lessons by the pupils varies greatly in degree. The teacher is continually addressing a more or less abstract composite — "the class" — but what any particular individual thoroughly grasps, is a very indefinite matter. A few pupils recite upon different parts of the lesson, but no one pupil, much less, all the pupils, recite upon all the lesson. "What each obtains from the lesson is necessarily very doubtful. The realization is present in the minds of the best that whatever they do not comprehend, ncverthele.ss the class as a whole moves on. (53) It is altogether the reverse with the individual plan. Each pupil must work through the whole of every lesson, must personally pursue every item, and must work out for himself every "thought" question in an intelligent manner. He can, in no way, be carried, hy class momentunu over ground which he has not thought out for himself, and which he does not under- stand. No pupil — and each realizes this fact — can pass over a lesson by the momentum of others' thinking. The progress of each must be made by the thinking of each. We may say, with some assurance, that all pupils, from the slowest to the fastest, who complete the same unit of a formal study such as arithmetic, have approximately the same degree of thoroughness. The system of tests and reviews makes it practically impossible to progress unless each exercise, advance and review^, is thoroughly mastered as it is passed over. Conse- quently, completion of an exercise book is evidence of thoroughness. Under the class plan all members of the class coinplete the work of a grade in the same time, hut they vary widely in thoroughness. Under the individual system the thoroughness is practically the same for all. but the pupils vary icidely in the time they require to finish the work. This is the important and vital distinctio*n between the two systems. No Repetition of Grades. There is a most important consequence of the condition brought out in the last paragraph, that all pupils passing over a given unit accomplish practically the same thoroughness, but vary in time. This means that the individual system does away with repetition of grades. "What a pupil finishes is thoroughly done, and there is no need or occasion to rec[uire him to repeat it. His memory may fail in particular facts, but the system of reviews which follows, picks up these matters and holds him until he relearns the specific thing he has lost. Pupils under the individual plan may go slower than the class rate stipulates, but the fact that they are never obliged to repeat entire units of work, but constantly are making forward progress, makes their rate faster in the long run. It is upon the principle of the race between the hare and the tortoise. Our records seem to indicate that, Avith very few exceptions, the slowest pupils cover the ground of a grade in less time than the estab- lished class rate assumes to cover it. Further, t\\ey are approximately as thorough as the fastest. Training in Selecting the Essential and Pertinent. The usual direction of the class teacher in assigning lessons in history or geography, for example, is to tell the class to study the "essential facts" from page 47 to page 51. But what are the "essential facts" from the viewpoint of the pupil? To the pupil, unfamiliar with the subject, all facts look alike. The allusions, accidental facts, and unessential facts are as likely to be selected as the "essential." Very conscientious little girls, in this dilemma, memorize every word, in the hope thereby, that they have not missed an}'. Our exercise books meet this difficulty by offering Cjuestions, more or less definite, to draw out the essentials. These questions can be, and are, varied, as the pupil progresses, to call for more and more judgment as to what is (54) pertinent The pupil's study is thereby made intelligent, and the pupil is Uaduallv trained in ability to distinguish for himself the e.ssential and pertinent. Sueh a devi.-e is valuable, either under the class or individual •system. Both Slow and Rapid Pupils Are Benefited by Individual Instruction. The advantage to rapid pupils is manifest. They do ui one. tw.. ..r three months the amount of ^vork set as the required standard for five months and proceed to the work of the next unit. The advantage to pupils of slower grasp is not so manifest, but it is probably of greater value. Lnder the cla.ss svstem. the pupils who can not keep up the class pace-those who bv reason" of sickness or absence or other causes fall behind the class in lockstep. and those who are behind in one or two subjects but up in the others— fail of promotion and must repeat the grade. There is no possible alternative. Therefore, a year or half year must be lost. But under the individual system, there is no repetition of gradas. The pupil may make dailv progress slowly but he can not pass over any day's work until he has mastered it ; if he forgets, the reviews will require him to relearn it at once. When he finishes a grade, his thoroughness is approximately equal to that of all others. He never repeats grades. :\roreover, even if he is the slowest pupil, he should complete the eight grades, barring absences, in eight years, for it is his rate which is taken as the standard requirement of a grade. Pupils who are sick or absent for other causes have full opportunity upon return to recover lost ground by extra exertion, whereas under the class system to get l)ehiiid the class makes repetition of a grade imminent. The Individual System Lays a Basis for Exact Grading. There is nothing so indefinite as the notions which, under the elass plan, we possess regarding the amount of work we should specify the work of a gi-ade. Judged by the retardations gathered in recent years over the entire United States, there is a strong suspicion that our first grades are probably over- loaded to nearly double their capacity, but no individual teacher knows the truth. Some pupils seem to finish it— the mass do not. The individual system gives us exactly the time each pupil has spent in completing a given unit of work with thoroughness. We have the time records of all. For example, the time records of the seventy-seven pupils who finished addition show that, with the exception of four pupils, all finished in less than eighty hours' work. We do know that one of these was unwell and that we failed to arouse normal interest or ambition with the other three. It is quite clear, therefore, we should allow eighty hours for formal addition in order that the normally slowest pupils shall not drag; the others will do the work in less time. Or, to take anothcn- example: the figures show that to fini.sh with thorough comprehension what we had originally laid out as the low fifth grade work in grammar, eight out of sixty-six pupils required nearly double the time allotted to them, and very generally all records were nearly double the time required in other half-grades of the same subjeet. We had been (55) making the requirement of the same amount of ground for low fifth grades under the class system for some years, and had not before suspected the fact that it was too much. Biit now the condition stands out in plain black and white under the individual plan. There were at least two alternatives — either Ave must cut the allotment of work seventy-five per cent, or, find some easier and more rapid method of covering this ground. The exercise books of a very large majority of pupils showed difficulty with certain lessons and we were stimulated to discover devices which would ease these difficulties. The result is a revised exercise book remedying these difficulties. This consideration can not receive too much emphasis. By this means the allotments of school work to each grade can be definitely regulated in some exact degree of relationship to what we may reasonably anticipate pupils can accomplish. Under the class system an undue amount is often required with the result that many pupils pay the penalty of our inaccuracy by retardation. We therefore have the exact time which is recj[uired for a number of different pupils to finish a given unit of work. Striking out the few records which for particular reasons are too slow, we can set the record of the justly slowest rate as the recjuirement for the half-grade. This will be the estab- lished standard for all later pupils unless subsequent records show it is too low or too high. The grade requirement can then be changed. Types of Teachers and the Individual System. As far as we can now determine the individual plan will do two things of immense value to the schools. 1. By developing self-reliance, a large majority of pupils make progress despite weaknesses in teacher ; i. e., poor judgment, improper and inadequate skill in instruction or lack of proper training. The small minority of pupils who do not respond, who remain dependent, and who require con- stant stimulation will be no worse off tlian under the class system, and at least, the teacher will have the time to give them special attention for the majority need little. On the other hand the individual plan, in the hands of a magnetic, inspiring teacher can work greater wonders. She can lift the usual progress of the ambitious pupils to the level of wonder-working enthusiasm. She can also lift the dependent minority and redeem many of them. In brief, under the individual plan, the weak or inefficient teacher can do much less damage to pupils than under the class system which makes all depend upon the teacher; and on the other hand, the limits of what a competent, inspira- tional teacher may accomplish are extended far beyond the possibility of any class teacher. Reducing the School Day. The gratifying l)ut singular fact has developed that while pupils are making the fa.ster progress, they nevertheless are requiring less time per day. With the new term (1915), ive arc reducing the regular school day to three and one-half hours, with no required home study. Our session opens at 8 :45 and closes at 12 :45 with one thirty-minute recess for all grades, and an extra ten-minute recess (5G) for primary pupils. No home work is prescribed in any regular subject, but pupils are encouraged to read widely along the lines of literature, history, travel, science, etc. Only for exceptional reasons and upon petition of both parents and pupil is any home study of a regular subject permitted. The .shortening of the time of school work is due to the intensified character of study under the individual method. Exceptions, however, are made to this single morning session plan. There is an afternoon session from 1:45 to 3 o'clock which two types of pupils are permitted to attend: (1) pupils whose parents personally wish additional school time in regular subjects, for various reasons, and (2) pupils with distinctly supernormal gifts in the subjects of music, art or dramatic ability, or a special interest in science. Some parents wish to avoid the dangers -of having children upon the streets in the afternoon ; other pupils are over-age and are desirous of making up lost time. In any case, the afternoon session is a privilege, and attendance is granted only upon appli- cation of the pupil through the parent. In the case of the supernormal abilities, the suggestion of extra training is made by the faculty and if pupil and parents desire it, as almost without exception they do, the permission is granted. Out of a total school attendance of 650 pupils, there are now about 150 pupils attending, for one or more days per week, the afternoon session in music, in drawing, in dramatic art, in science, in arithmetic, in compo- sition, in history, in geography. The Futility of ' ' Group Remedies ' ' for the Lockstep. The chief efforts which have been made to mitigate the evils of the class lockstep have been upon the theory of dividing the class into smaller groups. There is some mitigation in this device, due to lessening losses by administrative frictions, but the essential evil of the lockstep — the linking of unequals into a forced equality of stride — is not mitigated at all. We can have just as much lock- step by chaining two unequals together as by chaining ten or fifty. The trouble does not arise from the number chained together, but from the futility of chaining together any nnequals. Our data abundantly proves this fact bj^ two chief features. 1. Progress by Fits and Starts. Two pupils rarely make the same progress even for a week. "What is a sticking point or difficulty for one pupil is not for the other. Little Billy is ambitious and keyed with enthusiasm upon IMonday, while Tommy's day is Tuesday. Mary can spell "eat" but wants to put a "w" in dog, while Susie prefers a "k" in cat but is satisfied with any "dog" as it is. "While any pair may disagree today upon one of these facts, tomorrow they disagree upon an entirely different fact. Their ambitions, their stomachs and motives may also vibrate disso- nantly. So, reduction of the number in the group does not bring unity and harmony. The profits of individual instruction can only be gathered by completely individual teaching. Children in school, as in play, move by fits and starts and bear a treacherous suggestion of kinship to Kipling's banderlog. (57) 2. The Group System Rests Upon the "Type Theory." The usual group remedies are based upon the theory of "rapid" and "slow" types. This theory has not been supported by any evidence. As our figures have shown, rapidity and slowness, to an almost exclusive degree are intermittent conditions having little to do with a fixed native rate. Many years ago, while superintendent of schools in a small city, the writer became seized with the notion of one of these group remedies upon a basis of fixed types of "rapid." "medium" and "slow" children. Each class was divided into the three types and each type was allowed to make a separate promotion rate. The thing looked well upon paper, but it did not work off paper. The groupings quickly developed a fluid weakness for dissipating themselves into the air in a most unaccountable way. The fast pupils went slow, the slow pupils went fast, the mediums went both ways, and no one would stay put. I did not understand, then, as the present data make clear, that the number of pupils falling into these fixed classifications is exceedingly few and not sufficient to make practicable these mitigating group schemes. (r>S) THE INDIVIDUAL SYSTEM A MEANS OF TRAINING TEACHERS. We are frequently asked the question Avhy, as a normal sehool, we are using the method of individual instruction to train our students in view of the fact that, as schools are now organized, they must become "class" teachers. The San Francisco Normal School uses the individual system as a means of training its students for only about half their course. Most of our students are trained for the remainder of their course in the class system, through assignment as assistant teachers and student substitutes in the public schools of the surrounding cities. As a partial means of training young teachers, the individual system offers to the problem, especially during the "brealdng-in" period, some very marked and almost indi.spciisable advantages : 1. Developing the Teaching Heart. Individual insti-uction of pujiils is the most effective means of training teachers in the chief difficulties of teaclier training, whether they are to teach "classes." or pupils. The first and fundamental problem in teacher-training is to quicken in the young teacher, the "teaching heart," to put her emotionally en rapport with the pupil, to divest the l)eginner of the ingrained notion that teaching is merely the problem of "bossing the class." The atmosphere of a "class" exag- gerates and increases this difficulty. The individual plan brings the teacher in human and personal contact with the child, and .stirs the undeveloped impulses of the teaching instinct through the heart. 2. Training in Specific Difficulties of Subject. The second purpose lies in the fact that disciplinary control of a class must first have a firm foundation in a trained knowledge and personal skill in overcoming certain specific difficulties which every subject contains. There are, for example, probably a dozen such "sticking" points in teaching arithmetic, and as many more in primary reading. Each subject has its quota. Young teachers can never learn them by being told or by memorizing them with glazed interest in the "methods" classes. "Class" teaching does not make them stand out clearly and a young teacher with "class" discipline upon her hands can not get down to them and she is glad to escape the whole issue by "hearing the class recite." The class teacher is only rarely brought face to face with the individual difficulties^ach pupil has in learning. She assigns the class lesson and may proceed, by class exercise, to elucidate the problem in a way, according to the doctrines of general pedagogy, the human mind ought to learn. Her chief work, however, is to appraise the result as shown by class recitation. She is ever trying to make minds fit the lesson. The teacher under the individual system is ever being trained by experience in sJiaping the lessons to fit the minds of the varions pupils. Such experience is invaluable. It is the only thorough and efficient means of teacher-training. 3. Preparation for Rural Schools. Tlie third chief reason for using the individual system for one-half the training of our normal students is that it offers special preparation for teaching in rural schools. The large (59) majority of rural schools have an enrollment of less than twenty-five or thirty pupils with only a few pupils in each grade. Their attendance in many cases is irregular. Many of them are ambitious to make up lost time or to make rapid progress. To all of these conditions the individual system which we are developing is directly fitting, and can be used by teachers without serious modification of the existing administrative system. More- over, up to a generation ago, rural schools generally, were taught by individual instruction and no attempt was made to maintain grade restric- tions. It is only in very recent years that the rural school adopted the loek- step grading and promotion of its pupils in foolish imitation of the city schools. There never was any occasion for it and there is not now. Despite the primitive conditions and the inefficiency of teaching, we do know that the bone and muscle of American citizenship was created in these schools. To this condition, the rural schools owe their ancient strength. Let them return to it. When once the young teacher acquires the "teaching heart" and has mastered the chief difficulties involved in the teaching of the various sub- jects, she is ready to undertake with some confidence of usual success the problems of class instruction. We have provided for both by giving one year of each type of teaching experience. By this arrangement, the students in the San Francisco Normal School obtain one year's teaching in our training school, operated upon the individual system, as preparation for rural schools. The second year of the normal school course they spend chiefly in the city schools where they are trained in the class system. Thus, in the two-year normal course, they receive training fitting them both for rural schools, under the individual plan, and for city schools, under the class system. (60) TRAINING IN SPEECH USAGES. Correct Speech is Important. Some of our critics have professed themselves as i?reatly perturbed lest the individual system, by eliding the class recitation^ also elides oral expression from schooling. We wish par- ticularly to plead an alibi to this charge upon the simple ground that the usual class recitation never was an exercise in oral expression. A quarter of a century ago when Latin was first seriously attacked, the crv went up from the Latinists, that Latin, whatever its sins, must be retained on account of "the value of translation to written and oral expres- sion. " ' It was an unfortunate cry, for it drew attention to the real effect of Latin translation upon English expression. It then at once became evident, when we came to think about it. that the usual literal translation is about the worst thing which can happen to expression. For producing habits of contortion and distortion of the English language, the usual translation exercise of the Latin class is the most perfect contraption ever invented by pedagogues. Since that time the Latin teachers have had nothing further to say upon this subject and have discreetly devoted themselves to the culti- vation of the "free" translation. For analagous reasons, it is perhaps a good thing now to bring into the limeliffht the effect, upon langLiage expression, of the usual class recitation. Probably nothing equals its jerky, word-angling, tongue-tying, eye-rolling, body-wriffgling, leg-twisting accompaniments. The usual spectacle of dear teacher trying to worm "language" out of little Billy by means of a recita- tion in grammar, or in stocks and bonds, is one over which sweet charity draws a shroud and closes this line of argument. The essential prerequisites of any exercise in oral expression must be that the orators have (1) something to say, (2) an active desire to say it. (3) proper words with which to say it. The usual class recitation upon a text lesson has not one of these prerequisites. It is essentially a penal inquisition to discover whether or not little Billy obediently memorized his le-sson. So far as the quality of oral expression is evidence of fact, the inference is generally pretty conclusive that little Billy did not. When we undertake to train pupils by habit to express themselves fluently and logically in English sentences we must aim at this goal specifically and systematically. We can not make it the tail of some other exercise, such as history or . arithmetic, and expect it to wag by synchronous sympathy. When pupils are cloudy as to facts and ideas, are dealing with unfamiliar temis. and over anxious to sit down, they are in no condition to be linguistic. In searching for examples of success in oral expression, we can not do better than to copy the principles of the Jesuit schools. These schools make a success of oral expression — at least in the one feature of forensic argument. Their trained graduates can be picked out in a crowd. And this is the principle of it — forensic discussion is (1) a special definite subject of study and drill quite distinct from other subjects; (2) the subject matter and its terminology are first made thoroughly familiar and definite and even the lines of argument are tamped into habit; (3) the selection of words and balance of sentences are then made the goal of definite, concentrated effort. (61) If the individual plan cuts out the class recitation, then it performs a most needed excision to the benefit of training in oral expression. The next .step is to frame a course, the single definite purpose of which is oral expression. This implies that (1) subject matter and words to be used are within the pupil's familiar range; and (2) that motives for corrections of form be stimulated by effective devices. During the past year we have undertaken the working out of such a systematic course. It has no special connection with individual instruction and we expect that when perfected, it shall be made the topic of a special monograph. (('.'.' I THE INDIVIDUAL METHOD IN RELATION TO OTHER EDUCATIONAL REFORMS. We are not offering individual instruction as a panaeea for all the dis- eases of which the schools are suffering. There are wastes and neiyrlects. (luite apart from those of method, to which the individual system is contined. We wish to malif