THE HIGH SCHOOL FAILURES

A STUDY OF THE SCHOOL RECORDS OF PUPILS
FAILING IN ACADEMIC OR COMMERCIAL
HIGH SCHOOL SUBJECTS

Submitted in partial fulfilment of the requirements
for the degree of Doctor of Philosophy in the
Faculty of Philosophy, Columbia University

PREFACE

Grateful acknowledgment is due the principals of each of the high schools whose records are included in this study, for the courteous and helpful attitude which they and their assistants manifested in the work of securing the data. Thanks are due Dr. John S. Tildsley for his generous permission to consult the records in each or any of the New York City high schools. But the fullest appreciation is felt and acknowledged for the ready criticism and encouragement received from Professor Thomas H. Briggs and Professor George D. Strayer at each stage from the inception to the completion of this study.

F.P.O.

CONTENTS

A STUDY OF THE SCHOOL RECORDS OF THE PUPILS
FAILING IN ACADEMIC OR COMMERCIAL
HIGH SCHOOL SUBJECTS

CHAPTER I

GENERAL INTRODUCTION OF THE SUBJECT

1. THE RELEVANCE OF THIS STUDY

As the measuring of the achievements of the public schools has become a distinctive feature of the more recent activities in the educational field, the failure in expected accomplishment by the school, and its proficiency in turning out a negative product, have been forced upon our attention rather emphatically. The striking growth in the number of school surveys, measuring scales, questionnaires, and standardized tests, together with many significant school experiments and readjustments, bears testimony of our evident demand for a closer diagnosis of the practices and conditions which are no longer accepted with complacency.

The American people have expressed their faith in a scheme of universal democratic education, and have committed themselves to the support of the free public high school. They have been liberal in their financing and strong in their faith regarding this enterprise, so typically American, to a degree that a secondary education may no longer be regarded as a luxury or a heritage of the rich. No longer may the field be treated as either optional or exclusive. The statutes of several of our states now expressly or impliedly extend their compulsory attendance requirements beyond the elementary years of school. Many, too, are the lines of more desirable employment for young people which demand or give preference to graduates of a high school. At the same time there has been no decline in the importance of high school graduation for entering the learned or professional pursuits. Accordingly, it seems highly probable that, with such [2]an extended and authoritative sphere of influence, a stricter business accounting will be exacted of the public high school, as the great after-war burdens make the public less willing to depend on faith in financing so great an experiment. They will ask, ever more insistently, for facts as to the expenditures, the finished product, the internal adjustments, and the waste product of our secondary schools. Such inquiries will indeed seem justifiable.

It is estimated that the public high schools had 84 per cent of all the pupils (above 1,500,000) enrolled in the secondary schools of the United States in 1916.[1] The majority of these pupils are lost from school—whatever the cause—before the completion of their courses; and, again, the majority of those who do graduate have on graduation ended their school days. Consequently, it becomes more and more evident how momentous is the influence of the public high school in conditioning the life activities and opportunities of our youthful citizens who have entered its doors. Before being entitled to be considered a "big business enterprise,"[2] it seems imperative that our "American High School" must rapidly come to utilize more of business methods of accounting and of efficiency, so as to recognize the tremendous waste product of our educational machinery.

The aim of this study is to trace as carefully and completely as may be the facts relative to that major portion of our high school population, the pupils who fail in their school subjects, and to note something of the significance of these findings. If we are to proceed wisely in reference to the failing pupils in the high school, it is admittedly of importance that such procedure should be based on a definite knowledge of the facts. The value of such a study will in turn be conditioned by the scrupulous care and scientific accuracy in the securing and handling of the facts. It is believed that the causes of and the remedies for failure are necessarily closely linked with factors found in the school and with the school experiences of failing pupils, so that the problem cannot be solved by merely labeling such pupils as the unfit. There is no attempt in this study to treat all failures as in any single category. The causes of the failures are not assumed at the start nor given the place of chief emphasis, but are regarded as incidental to and dependent upon what the [3]evidence itself discloses. The success of the failing pupils after they leave the high school is not included in this undertaking, but is itself a field worthy of extended study. Even our knowledge of what later happens to the more successful and the graduating high school pupils is limited mainly to those who go on to college or to other higher institutions. One of the more familiar attempts to evaluate the later influence of the high school illustrates the fallacy of overlooking the process of selection involved, and of treating its influence in conjunction with the training as though it were the result of school training alone.[3]

2. THE MEANING OF 'FAILURE' IN THIS STUDY

The term 'failure' is employed in this study to signify the non-passing of a pupil in any semester-subject of his school work. The school decision is not questioned in the matter of a recorded failure. And although it is usually understood to negate "ability plus accomplishment," it may, and undoubtedly does, at times imply other meanings, such as a punitive mark, a teacher's prejudice, or a deferred judgment. The mark may at times tell more about the teacher who gave it than about the pupil who received it. These peculiarities of the individual teacher or pupil are pretty well compensated for by the large number of teachers and of pupils involved. The decisive factor in this matter is that the school refuses to grant credit for the work pursued. The failure for a semester seems to be a more adaptable unit in this connection than the subject-failure for a year. However, it necessitates the treatment of the subject-failure for a year as equivalent to a failure for each of the two semesters. Two of the schools involved in this study (comprising about 11 per cent of the pupils) recorded grades only at the end of the year. It is quite probable that the marking by semesters would actually have increased the number of failures in these schools, as there are many teachers who confess that they are less willing to make a pupil repeat a year than a semester.

By employing this unit of failure, the failures in the different subjects are regarded as comparable. Since only the academic and commercial subjects are considered, and since they are almost uniformly scheduled for four or five hours a week, the [4]failures will seem to be of something near equal gravity and to represent a similar amount of non-performance or of unsatisfactory results. There were also a few failures included here for those subjects which had only three hours a week credit, mainly in the commercial subjects. But failures were unnoted when the subject was listed for less than three hours a week.

There are certain other elements of assumption in the treatment of the failures, which seemed to be unavoidable. They are, first, that failure in any subject is the same fact for boys and for girls; second, that failures in different years of work or with different teachers are equivalent; third, that failures in elective and in required subjects are of the same gravity. It was found practically impossible to differentiate required and elective subjects, however desirable it would have been, for the subjects that are theoretically elective often are in fact virtually required, the electives of one course are required in another, and on many of the records consulted neither the courses nor the electives are clearly designated.

3. THE SCOPE AND CONTENT OF THE FIELD COVERED

As any intensive study must almost necessarily be limited in its scope, so this one comprises for its purposes the high school records for 6,141 pupils belonging to eight different high schools located in New York and New Jersey. For two of these schools the records for all the pupils that entered are included here for five successive years, and for their full period in high school. In two other schools the records of all pupils that entered for four successive years were secured. In four of the schools the records of all pupils who entered in February and September of one year constituted the number studied. There is apparently no reason to believe that a longer period of years would be more representative of the facts for at least three of these four schools, in view of the situation that they had for years enjoyed a continuity of administration and that they possess a well-established organization. The fourth one of these schools had less complete records than were desired, but even in that the one year was representative of the other years' records. The distribution of the 6,141 pupils by schools and by years of entering high school is given below.

As it is essential for the purposes of this study to have the complete record of the pupils for their full time in the high school, the 6,141 pupils include none who entered later than 1912. Thus all were allowed at least five and one-half or six years in which to terminate their individual high school history, of successes or of failures, before the time of making this inquiry into their records. No pupils who were transferred from another high school or who did not start with the class as beginning high school students were included among those studied. Post-graduate records were not considered, neither was any attempt made to trace the record of drop-outs who entered other schools. Manifestly the percentage of graduation would be higher in any school if the recruits from other schools and the drop-backs from other classes in the school were included.

No attempt has been made to trace the elementary school or college records of the failing pupils, for our purpose does not reach beyond the sphere of the high school records. In reference to the differentiation by school courses, some facts were at first collected, but these were later discarded, as the courses represent no standardization in terminology or content, and they promised to give nothing of definite value. As might be expected, the schools lacked agreement or uniformity in the number of courses offered. One school had no commercial classes, as that work was assigned to a separate school; another school offered only typewriting and stenography of the commercial subjects; a third had placed rather slight emphasis on the commercial subjects until recently. Only four of the schools had pupils in Greek. The Spanish classes outnumbered the Greek both by schools and by enrollment. In the classification by subjects, English is made to include (in addition to the usual subjects of [6]that name) grammar, literature, and business English. Mathematics includes all subjects of that class except commercial arithmetic, which is treated as a commercial subject, and shop-mathematics, which is classed as non-academic. Industrial history, and 'political and social science' are regarded along with academic subjects; likewise household chemistry is included with the science classification. Economics is treated as a commercial subject. At least a dozen other subjects, not classified as academic or commercial, including also spelling and penmanship, were taken by a portion of these pupils, but the records for these subjects do not enter this study in determining the successful and failing grades or the sizes of schedule. Yet it is true that such subjects do demand time and work from those pupils.

4. SOURCES OF THE DATA EMPLOYED

The only records employed in this whole problem of research were the official school records. No questionnaires were used, and no statements of pupils or opinions of teachers as such were sought. The facts are the most authoritative and dependable available, and are the very same upon which the administrative procedure of the school relative to the pupil is mainly dependent. The individual, cumulative records for the pupils provided the chief source of the facts secured. These school records, as might be expected, varied considerably as to the form, the size, the simplicity in stating facts, and the method of filing; but they were quite similar in the facts recorded, as well as in the completeness and care with which the records were compiled. It may be added that only schools having such records were included in the investigation.

After the meanings of symbols and devices and the methods of recording the facts had been fully explained and carefully studied for the records of any school, the selection of the pupil records was then made, on the basis of the year of the pupils' entrance to the school, including all the pupils who had actually entered and undertaken work. (Pupils who registered but failed to take up school work were entirely disregarded.) These individual records were classified into the failing and the non-failing divisions, then into graduating and non-graduating groups, with [7]the boys and girls differentiated throughout. As fast as the records were read and interpreted into the terms required they were transcribed, with the pupils' names, by the author himself, to large sheets (16x20) from which the tabulations were later made. There was always an opportunity to ask questions and to make appeals for information either to the principal himself or to the secretary in charge of the records. This tended to reduce greatly the danger of mistakes other than those of chance error. The task of transcribing the data was both tedious and prolonged. This process alone required as much as four weeks for each of the larger schools, and without the continued and courteous cooperation of the principals and their assistants it would have been altogether impossible in that time.

Some arbitrary decisions and classifications proved necessary in reference to certain facts involved in the data employed in this study. All statements of age will be understood as applying to within the nearest half year; that is, fifteen years of age will mean within the period from fourteen years and a half to fifteen years and a half. The classification in the following pages by school years or semesters (half-years) is dependent upon the time of entrance into school. In this sense, a pupil who entered either in September or in February is regarded as a first semester pupil, however the school classes are named. As promotions are on a subject basis in each of the schools there is no attempt to classify later by promotions, but the time-in-school basis is retained. In reference to school marks or grades, letters are here employed, although four of the eight schools employ percentage grading. Whether the passing mark is 60, as in some of the schools, or 70, as in others, the letter C is used to represent one-third of the distance from the failing mark to 100 per cent; B is used to represent the next third of the distance; and A is used to express the upper third of the distance. The plus and minus signs, attached to the gradings in three of the schools, are disregarded for the purposes of this study, except that when D+ occurred as a conditional passing mark it was treated as a C. Otherwise D has been used to signify a failing grade in a subject, which means that the grade is somewhere below the passing mark. The term 'graduates' is meant to include all who graduate, either by diploma or by certificate. Any statement made [8] in the following pages of 'time in school' or of time spent for 'securing graduation' will not include as a part of such period a semester in which the pupil is absent all or nearly all of the time, as in the case of absence due to illness.

5. THE SELECTION AND RELIABILITY OF THESE SOURCES OF DATA

By employing data secured only from official school records and in the manner stated, this study has been limited to those schools that provide the cumulative pupil records, with continuity and completeness, for a sufficient period of years. Some schools had to be eliminated from consideration for our purposes because the cumulative records covered too brief a period of years. In other schools administrative changes had broken the continuity of the records, making them difficult to interpret or undependable for this study. The shortage of clerical help was the reason given in one school for completing only the records of the graduates. In addition to the requirements pertaining to records, only publicly administered and co-educational schools have been included among those whose records are used. It was also considered important to have schools representing the large as well as the small city on the list of those studied. Since many schools do not possess these important records, or do not recognize their value, it is quite probable that the conditions prescribed here tended to a selection of schools superior in reference to systematic procedure, definite standards, and stable organization, as compared to those in general which lack adequate records.

The reliability and correctness of these records for the schools named are vouched for and verbally certified by the principals as the most dependable and in large part the only information of its kind in the possession of the schools. In each of these schools the principals have capable assistants who are charged with the keeping of the records, although they are aided at times by teachers or pupils who work under direction. In three of the larger schools a special secretary has full charge of the records, and is even expected to make suggestions for revisions and improvements of the forms and methods. In view of such facts it seems doubtful that one could anywhere find more dependable school records of this sort. It was true of one of the schools [9]that the records previous to 1909 proved to be unreliable. There is no inclination here to deny the existence of defects and limitations to these records, but the intimate acquaintance resulting from close inquiry, involving nearly every factor which the records contain, is convincing that for these schools at least the records are highly dependable.

However, there is some tendency for even the best school records to understate the full situation regarding failure, while there is no corresponding tendency to overstate or to record failures not made. Not infrequently the pupils who drop out after previously failing may receive no mark or an incomplete one for the last semester in school. Although a portion or all of such work may obviously merit failure, yet it is not usually so recorded. In a similar manner pupils who remain in school one or two semesters or less, but take no examinations and receive no semester grades, might reasonably be considered to have failed if they shunned examinations merely to escape the recording of failures, as sometimes appears to be the case when judged from the incomplete grades recorded for only a part of the semester. A few pupils will elect to 'skip' the regular term examination, and then repeat the work of that semester, but no failures are recorded in such instances. Some teachers, when recording for their own subjects, prefer to indicate a failure by a dash mark or by a blank space until after the subject is satisfied later, and the passing mark is then filled in. One school indicates failure entirely by a short dash in the space provided, and then at times there occurs the 'cond' (conditioned) in pencil, apparently to avoid the classification as a failure by the usual sign. One finds some instances of a '?' or an 'inc' (incomplete) as a substitute for a mark of failure. Again, where there is no indication of failure recorded, the dates accompanying the grades for the subjects may tell the tale that two semesters were required to complete one semester's work in a subject. Some of these situations were easily discernible, and the indisputable failures treated as such in the succeeding tabulations; but in many instances this was not possible, and partial statement of these cases is all that is attempted.

How far these selected schools, their pupils, and the facts relating to them are representative or typical of the schools, the [10]pupils, and the same facts for the states of New Jersey and New York, cannot be definitely known from the information that is now available. It seems indisputable, however, that the schools concerned in this study are at least among the better schools of these two states. If we may feel assured that the 6,141 pupils here included are fairly and generally representative of the facts for the eight schools to which they belong and which had an enrollment of 14,620 pupils in 1916; and if we are justified in classing these schools as averaging above the median rank of the schools for these states, then the statistical facts presented in the following pages may seem to be a rather moderate statement regarding the failures of high school pupils for the states referred to. It must be noted in this connection, however, that it is not unlikely that such schools, with their adequate records, will have the facts concerning failure more certainly recorded than will those whose records are incomplete, neglected, or poorly systematized.

A partial comparison of the teachers is possible between the schools represented here and those of New York and New Jersey. More than four hundred teachers comprised the teaching staff for the 6,141 pupils of the eight schools reported here. Of these about 40 per cent were men, while the percentage of men of all high school teachers in New Jersey and New York[4] was about 38 for the year 1916. The men in these schools comprised 50 per cent of the teachers in the subjects which prove most difficult by producing the most failures, and they were more frequently found teaching in the advanced years of these subjects. It is not assumed here that men are superior as high school teachers, but the endeavor is rather to show that the teaching force was by its constitution not unrepresentative. It may be added here that few high schools anywhere have a more highly selected and better paid staff of teachers than are found in this group of schools. It is indeed not easy to believe that the situation in these eight selected schools regarding failure and its contributing factors could not be readily duplicated elsewhere within the same states.

A SUMMARY OF CHAPTER I

The American people have a large faith in the public high school. It enrolls approximately 84 per cent of the secondary school pupils of the United States. High school attendance is becoming legally and vocationally compulsory. The size of the waste product demands a diagnosis of the facts. This study aims to discover the significant facts relative to the failing pupils.

Failure is used in the unit sense of non-passing in a semester subject. Failures are then counted in terms of these units.

This study includes 6,141 pupils belonging to eight different high schools and distributed throughout two states. The cumulative, official, school records for these pupils formed the basis of the data used.

The schools were selected primarily for their possession of adequate records. More dependable school records than those employed are not likely to be found, yet they tend to understate the facts of failure. It is quite possible that a superior school, and one with a high grade teaching staff, is actually selected by the requirements of the study.

CHAPTER II

HOW EXTENSIVE ARE THE FAILURES
OF THE HIGH SCHOOL PUPILS?

1. A DISTRIBUTION OF ALL ENTRANTS IN REFERENCE TO FAILURE

With no purpose of making this a comparative study of schools, the separate units or schools indicated in Chapter I will from this point be combined into a composite and treated as a single group. It becomes possible, with the complete and tabulated facts pertaining to a group of pupils, after their high school period has ended, to get a comprehensive survey of their school records and to answer such questions as: (1) What part of the total number of boys or of girls have school failures? (2) To what extent are the non-failing pupils the ones who succeed in graduating? (3) To what extent do the failing pupils withdraw early? The following tabulation will show how two of these questions are answered for the 6,141 pupils here reported on.

From this distribution we readily compute that the percentage of pupils who fail is 58.2 per cent (boys—62.1, girls—55.1). But this statement is itself inadequate. It does not take into account the 808 pupils who received no grades and had no chance to be classed as failing, but who were in most cases in school long enough to receive marks, and a portion of whom were either eliminated earlier or deterred from examinations by the expectation of failing. It seems entirely safe to estimate that no less than 60 per cent of this non-credited number should[5] be treated as of the failing group[6] of pupils. Then the percentage of pupils to be classed as failing in school subjects becomes 66 per cent (boys—69.6, girls—63.4).

[13] In considering the second inquiry above, we find from the preceding distribution of pupils that 58.1 per cent (boys—61.4, girls—55.8) of all pupils that graduate have failed in one or more subjects one or more times. This percentage varies from 34 per cent to 73 per cent by schools, but in only two instances does the percentage fall below 50 per cent, and in one of these two it is almost 50 per cent.

We may now ask, when do the failing and the non-failing non-graduates drop out of school? Of the total number of non-graduates (4,205), there are 2,448 who drop out after failing one or more times, and 1,757 who drop out without failing. The cumulative percentages of the non-graduates in reference to dropping out are here given.

CUMULATIVE PERCENTAGES OF THE FAILING NON-GRADUATES
AS THEY ARE LOST BY SEMESTERS

CUMULATIVE PERCENTAGES OF NON-FAILING NON-GRADUATES
AS THEY ARE LOST BY SEMESTERS

Briefly stated, the above percentages assert that more than three fourths of those who neither fail nor graduate have left school by the end of the first year, while only 33.9 per cent of those non-graduates who fail have left so early. More than 50 per cent of the failing non-graduates continue in school to near the end of the second year. By that time about 90 per cent of the non-failing non-graduates have been lost from school. By a combination of the above groups we get the percentages of all non-graduates lost by successive semesters.

CUMULATIVE PERCENTAGES OF ALL NON-GRADUATES
LOST BY SUCCESSIVE SEMESTERS

These percentages of non-graduates indicate that more than 50 per cent of those who do not graduate are gone by the end [14]of the first year, but that there are a few who continue beyond four years without graduating.

2. THE LATER DISTRIBUTION OF PUPILS BY SEMESTERS

Consideration is here given to the number of the total entrants remaining in school for each successive semester, and then to the accompanying percentages of failure for each group. The following figures show the rapid decline in numbers.

THE PERSISTENCE OF PUPILS IN SCHOOL, BY SEMESTERS

As was pointed out in Section 3 of Chapter I, the above group does not include any increment to its own numbers by means of transfer from other classes or schools. We find, accompanying this reduction in the number of pupils, which shows more than 50 per cent gone by the end of the second year in school, that there is no corresponding reduction in the percentage of pupils failing each semester on the basis of the number of those in school for that semester.

PERCENTAGE OF PUPILS FAILING OF THE PUPILS
IN SCHOOL FOR THAT PERIOD

There is no difficulty in grasping the simple and definite significance of these figures, for they tell us that the percentage of pupils failing increases for the first four semesters, slightly declines for two semesters, with a greater decline for two more semesters. These percentages of failures are based on the number of pupils enrolled at the beginning of the semester, and are accordingly lower than the facts would really warrant since that number is in each case considerably reduced by the end of the same semester.

3. THE DISTRIBUTION OF FAILURES

That the failures are widely distributed by semesters, by ages, and for both boys and girls, is shown in Table I.

TABLE I

THE DISTRIBUTION OF FAILURES ACCORDING TO THE AGE
AND THE SEMESTER OF THEIR OCCURRENCE[A]

Table I reads: the boys had 20 failures and the girls had 19 failures in the first semester and at the age of thirteen; in the second semester, at the age of thirteen, the boys had 2 failures and the girls 6. For each semester, the first line represents boys, the second line girls. There is a total of 17,960 failures listed in this table. In addition to this number there are 1,947 uncompleted grades for the failing non-graduates. The semesters were frequently completed by such pupils but the records were left incomplete. Their previous records and their prospects of further partial or complete failure seem to justify an estimate of 55 per cent (1,070) of these uncompleted grades as either tentative or actual but unrecorded failures. Therefore we virtually have 1,070 other failures belonging to these pupils which are not included in Table I. Accordingly, since the number can only be estimated, the fact that they are not incorporated in that table suggests that the information which it discloses is something less than a full statement of the school failures for these pupils. In the distribution of the totals for ages, the mode appears plainly at 16, but with an evident skewness toward the upper ages. The failures for the years 16, 17, and 18, when added together, form 68.1 per cent of the total failures. If those for 15 years are also included, the result is 86 per cent of the total. Of the total failures, 65.7 per cent are found in the first two years (11,801 out of the total of 17,960). But the really striking fact is that 34.3 per cent of the failures occur after the end of the first two years, after 52.2 per cent of the pupils are gone, and with other hundreds leaving in each succeeding semester before even the end of the eighth. In Table II we have similar facts for the pupils who graduate. [16]

TABLE II

THE DISTRIBUTION OF FAILURES ACCORDING TO THE AGES
AND THE SEMESTERS OF THEIR OCCURRENCE FOR THE GRADUATING PUPILS

[17] A further analysis of the failures is here made in reference to the number of pupils and the number of failures each.

TABLE III

A DISTRIBUTION OF FAILING PUPILS ACCORDING TO THE NUMBER
OF FAILURES PER PUPIL, IN EACH SEMESTER

[18] Table III tells us that 459 boys and 561 girls have one failure each in the first semester of their high school work; 271 boys and the same number of girls have two failures in the first semester, and so on, for the ten semesters and for as many as six failures per pupil. The failures represented by these pupils give a total of 17,960. A distribution of the total failures per pupil, and the facts relative thereto, will be considered in Chapter IV of this study.

The above distribution of Table III is repeated here in Table IV, so far as it relates to the failing graduates only.

TABLE IV

A DISTRIBUTION OF THE FAILING PUPILS WHO GRADUATE, ACCORDING TO
THE NUMBER OF FAILURES PER PUPIL IN EACH SEMESTER

This table reads similarly to Table III. There is not the element of continuous dropping out to be considered, as in Table III, until after the sixth semester is passed, for no pupils graduate in less than three years. The failures represented in this table number 5,823. This same distribution will be the subject of further comment later on. It discloses some facts that Table III tends to conceal, for instance, that the greater number of [19] graduating pupils who have 2, 3, 4, 5, and 6 failures in a semester are found after the end of the second year.

4. DISTRIBUTION OF THE FAILURES IN REFERENCE
TO THE SUBJECTS IN WHICH THEY OCCUR

The following tabulation of failures will show how they were shared by both boys and girls in each of the school subjects which provided the failures here listed.

NUMBER OF FAILURES DISTRIBUTED BY SCHOOL SUBJECTS

The abbreviated headings above will be self-explanatory by reference to section 3 of Chapter I. The first line of numbers gives the failures for the boys, the second line for the girls. Mathematics has 24.1 per cent of all the failures for all the pupils. Latin claims 18.7 per cent and English 16.5 per cent of all the failures. These three subjects make a total of nearly 60 per cent of the failures for the nine subject groups appearing here. But still this is only a partial statement of the facts as they are, since the total enrollment by subjects is an independent matter and far from being equally divided among all the subjects concerned. The subject enrollment may sometimes be relatively high and the percentage of failure for that subject correspondingly lower than for a subject with the same number of failures but a smaller enrollment. This fact becomes quite apparent from the following percentages taken in comparison with the ones just preceding:

PERCENTAGES ENROLLED IN EACH SUBJECT OF THE SUM TOTAL
OF THE SUBJECT ENROLLMENTS FOR ALL PUPILS AND ALL SEMESTERS

We note that the percentages for mathematics and English, which represent their portions of the grand total of subject enrollments, are virtually the reverse of the percentages which [20] designate the amount of total failures produced by the same two subjects. That means that the percentage of the total failures produced by mathematics is really greater than was at first apparent, while the percentages of failures for English is not so great relatively as the statement of the total failures above would alone indicate. In a similar manner, we note that Latin has 18.7 per cent of all the failures, but its portion of the total enrollment for all subjects is only 11.9 per cent. If the failures in this subject were in proportion to the enrollment, its percentage of the failures would be reduced by 6.8 per cent. On the other hand, if the failures for English were in the same proportion to the total as is its subject enrollment, it would claim 7.5 per cent more of all the failures. In the same sense, French, history, science, and the business subjects have a smaller proportion of all the failures than of all the subject enrollments.

The comparison of failures by subjects may be continued still further by computing the percentage of failures in each subject as based on the number enrolled in that subject. Such percentages are here presented for each subject.

PERCENTAGE OF THE NUMBER TAKING THE SUBJECT
WHO FAIL IN THAT SUBJECT

It becomes evident at once that the largest percentage of failures, based on the pupils taking the subject, is in Latin, although we have already found that mathematics has the greatest percentage of all the failures recorded (p. 19). But here mathematics follows Latin, with German coming next in order as ranked by its high percentage of failure for those enrolled in the subject. History has the median percentage for the failures as listed for the nine subjects above.

The failures as reported by subjects for other schools and other pupils will provide a comparison which may indicate something of the relative standing of this group of schools in reference to failures. The failures are presented below for thirteen high schools in New Jersey, involving 24,895 grades, as reported by D.C. Bliss[7] in 1917. As the schools were reported singly, the [21]median percentage of failure for each subject is used here for our purpose. But Mr. Bliss' figures are computed from the promotion sheets for June, 1915, and include none of those who had dropped out. In this sense they are not comparable to the percentages of failure as presented in this study. Yet with the one exception of Latin these median percentages are higher. The percentages as presented below for St. Paul[8a] are in each case based on the total number taking the subject for a single semester, and include about 4,000 pupils, in all the classes, in the four high schools of the city.[B]

The facts presented for St. Louis[9] are for one school only, with 2,089 pupils, as recorded for the first half of the year 1915-16. All foreign languages as reported for this school are grouped together. History is the only subject that has a percentage of failure lower than that of the corresponding subjects for our eight schools. The figures for both St. Paul and St. Louis are based on the grades for all classes in school, but for only a single semester. One cannot avoid feeling that a statement of facts for so limited a period may or may not be dependable and representative for all periods. The percentages for Paterson[10] are reported for about 4,000 pupils, in all classes, for two successive semesters, and are based on the number examined. For Denver,[11] the records are reported for 4,120 pupils, and cover a two-year period. The percentages for Butte[12] are based on the records for 3,110 pupils, for one school semester. The figures reported by Rounds and Kingsbury[13] are for only two subjects, but for forty-six widely separated high schools, whose enrollment for these two subjects was 57,680.

PERCENTAGES OF FAILURE BY SUBJECTS—QUOTED FOR OTHER SCHOOLS

[22] In some schools the reports were not available for all subjects. It is not at all probable, so far as information could be obtained, that the failures of the drop-out pupils for any of the schools were included in the percentages as reported above, or that the percentages are based on the total number in the given subjects, with the exception of one school. Moreover, it is certain for at least some of the schools that neither the failures of the drop-outs nor the pupils who were in the class for less than a whole semester were considered in the percentages above. So far, however, as these comparisons may be justified, the suggestion made in Chapter I that the schools included in this study are doubtless a superior group with respect to failures appears to be strengthened by the comparisons made above.

It becomes more apparent, as we attempt to offer a statement of failures as taken from the various reports, that they are not truly comparable. The bases of such percentages are not at all uniform. The basis used most frequently is the number enrolled at the end of the period rather than the total number enrolled for any class, for which the school has had to provide, and which should most reasonably form the basis of the percentage of failure. Furthermore, the failures for pupils who drop out are not usually counted. Yet, in most of the reports, the situation is not clearly indicated for either of the facts referred to. Still more difficult is the task of securing a general statement of failures by subjects, since the percentages are most frequently reported separately for each class, in each subject, and for different buildings, but with the number of pupils stated for neither the failures nor the enrollment. The St. Paul report[8b] is an exception in this regard.

To present the full situation it is indeed necessary to know the failures for particular teachers, subjects, and buildings, but it is also frequently necessary to be able to make a comparison of results for different systems. Consequently, in order to use the varied reports for the attempted comparison above, the plan was pursued of averaging the percentages as stated for the different classes, semesters, and years of a subject, in each school separately, and then selecting the median school thus determined [23]as the one best representing the city or the system. This method was employed to modify the reports, and to secure the percentages as stated above for Denver, Paterson, and Butte. Any plan of averaging the percentages for the four years of English, or similarly for any other subject, may actually tend to misstate the facts, when the percentages or the numbers represented are not very nearly equal. But, in an incidental way, the difficulty serves to emphasize the inadequacy and the incomparability in the reporting of failures as found in the various studies, as well as to warn us of the hopelessness of reaching any conclusions apart from a knowledge of the procedure employed in securing the data.

The basis is also provided for some interesting comparisons by isolating from the general distribution of failures by school subjects (p. 19) the same facts for the failing graduates. That gives the following distribution.

THE FAILURES BY SCHOOL SUBJECTS FOR GRADUATES ONLY

It is a noteworthy fact that the percentages of failure (based on the total failures for the graduates) run higher in mathematics, Latin, history, French, and science for the graduates than for the whole composite number (page 19). The non-graduates have a correspondingly lower percentage of failure in these subjects, as is indicated above. The school influences in respect to the failures of the non-graduates differ from those of the graduates chiefly in the fact that the failures of the former tend to occur to a greater extent in the earlier years of these subjects, since so many of the non-graduates are in the school for only those earlier years; while the failures of the graduates range more widely and have a tendency to predominate in the upper years of the subject, as will be further emphasized in the later pages of this report (see also Table IV).

5. DISTRIBUTION OF PUPILS DROPPING OUT—SEMESTERS—AGES

[24] Table V presents the facts concerning the time and the age at which the failing pupils drop out of school. Table VI furnishes the corresponding facts for the non-failing drop-outs.

TABLE V

DISTRIBUTION OF THE FAILING NON-GRADUATES,
SHOWING THE SEMESTER AND THE AGE AT THE TIME OF DROPPING OUT