Chapter 4
to secure his subject grades, else no failure is counted and no time is charged to his period in school. In this connection, Dr. C.H. Keyes[14] found in a study of elementary school pupils that of 1,649 pupils losing four weeks or more in a single year 459 belonged to the accelerate pupils, 647 to those arrested, and 543 to pupils normal in their school work. He accredits such large loss of time as almost invariably the result of illness and of contagious disease. He also says, "Prolonged absence from school is appreciable in producing arrest especially when it amounts to more than 25 days in one school year." But the diseases of childhood, with the resultant absence, are less prevalent in the high school years than earlier. Furthermore, the losses due to change of residence will not be met with here, for, as explained in Chapter I, no transferred pupils are included subsequent to the time of the transference either to or from the school.
The influence of physical or mental defects also deserves recognition here as a possible factor relative to school failures, although this study has no data to offer of any statistical value in that regard. A few pupils in high school may actually reach the limits prescribed by their 'intelligence quotient'[15] or general mental ability, or perhaps, as Bronner[16] so interestingly points out, be handicapped by some special mental disability. If such be true, they will doubtless be found in the number of school drop-outs later referred to as failing in 50 per cent or more of their work; but we have no measurement of intelligence recorded for them to serve our purposes of prognostication. In the matter of physical defects alone, the report of Dr. L.P. Ayres[17] on a study of 3,304 pupils, ten to fourteen years old, in New York City, states that "In every case except in that of vision the children rated as 'dull' are found to be suffering from physical defects to a greater degree than 'normal' or 'bright' children." The defects of vision, which is the exception noted, may be even partly the result of the studious habits of the pupils. Bronner[16] remarks on the "relationships between mental and physical conditions," and also on how "the findings on tests were altogether different after the child had been built up physically." But Gulick and Ayres[18] conclude that it is evident from the facts at hand that if vision were omitted the percentage of defects would dwindle and become comparatively small among the upper grades. This would probably be still more true for the high school; but this whole field has not yet been completely and thoroughly investigated.
It would be very desirable to have ascertained the size of the classes in which the failures were most frequent, as well as the relative success of the pupils repeating subjects in larger or in smaller classes. But, as such facts were unobtainable, it is permitted here simply to recognize the possible influence of this factor. It seems deserving in itself of careful and special study. From the standpoint of the pupil, the kind of subject, the kind of teacher, and the sort of discipline employed will tend to influence the size of class to be called normal, and to make it a sort of variable. Thirty pupils is regarded by the North Central Association as the maximum size of class in high school.[19] Surely the size of class will react on the pupil by affecting the teacher's spirit and energy. Reference is made by Hall-Quest[20] to an experiment, whose author is not named, in which 829 pupils stated that their "most helpful teachers were pleasant, cheerful, optimistic, enthusiastic, and young." If such be true then the very large size of classes will tend to reduce the teacher's helpfulness.
2. THE EMPLOYMENT OF THE SCHOOL ENTERING AGE FOR PROGNOSIS
A promising but less emphasized basis of prognosticating the school success or failure of the pupils is found in the employment of the school entering ages for this purpose. The distribution of all the pupils (except 30 undistributed ones, for whom the records were incomplete), according to entering age, is here presented, independently for the boys and for the girls.
DISTRIBUTION OF PUPILS BY THEIR ENTRANCE AGES TO HIGH SCHOOL
AGES Undis- Total 12 13 14 15 16 17 18 19 20 tributed
2646 B. 16 211 820 900 497 148 23 10 7 14 3495 G. 8 259 1124 1217 614 194 51 10 8 16
The entering ages of these 6,141 pupils are distributed from 12 to 20, with 30 of them for whom the age records were not given. The median age for all the entrants is 15.3. But in order to compare this with the median entering age (14.9) of the 1,033 pupils reported by King[21] for the Iowa City high school, or with the median entering age (14.5) of 1000 high school pupils in New York City, as reported by Van Denburg,[22] it is necessary to reduce these medians to the same basis of age classification. Since age 15 for this study starts at 14½, then 15.3 would be only 14.8 (15.3-.5) as by their classification. The percentages of the total number of pupils for each age are given below.
PERCENTAGES OF PUPILS FOR EACH ENTERING AGE
AGES 12 13 14 15 16 17 18 19 20 Undistributed Total 0.4 7.6 31.6 34.4 18.1 5.5 1.2 1.0 Boys 0.6 8.0 31.0 37.8 18.8 5.6 0.8 1.1 Girls 0.2 7.4 32.4 34.8 17.5 5.5 1.4 1.0
We see that 84 per cent of the pupils enter at age 14, 15, and 16, or, what is perhaps more important, that nearly 40 per cent enter under 15 years of age. The similarity of percentages for boys and for girls is pronounced. The slight advantage of the boys for ages 12 and 13 may be due to home influence in restricting the early entrance of the girls, thus causing a corresponding superiority for the girls at age 14. The mode of this percentage distribution is at 15 for both boys and girls.
What portion of each entering-age-group has no failures? This question and the answer presented below direct our attention to the superiority of the pupils of the earlier entering ages. That these groups of earlier ages of entrance are comprised of pupils selected for their capabilities is shown by the successive decrease in the percentages of the non-failing as the ages of their entrance increases, up to age 18.
DISTRIBUTION OF THE PUPILS WHO DO NOT FAIL, FOR EACH ENTERING-AGE-GROUP
AGES Totals 12 13 14 15 16 17 18 19 20
1061 B. 11 102 320 309 186 56 9 4 4 1575 G. 3 133 522 545 256 73 29 7 6 % of ----------------- Entrants 58.0 50.0 43.4 40.0 39.8 37.7 55.0
Here is definite evidence that the pupils of the earlier entering ages are less likely to fail in any of their school subjects than are the older ones. Those entering at ages 12 or 13 escape school failures altogether for 50 per cent or more of their numbers. Those entering at age 14 are somewhat less successful but still seem superior to those of later entrance ages. It is encouraging, then, that these three ages of entrance include nearly 40 per cent of the 6,141 pupils. There is, of course, nothing in this situation to justify any deduction of the sort that pupils entering at the age of 17 would have been more successful had they been sent to high school earlier, except that had they been able to enter high school earlier they would have represented a different selection of ability by that fact alone. There is also a sort of selection operative for the pupils entering at ages 18, 19, or 20, which tends to account at least partly for the rise in the percentage of the non-failing for these years. It is safe to believe that for the most part only the more able, ambitious, and purposeful individuals are likely to display the energy required or to discern the need of their entering high school when they have reached the age of 18 or later. The appeal of school athletics will in this case seem very inadequate to explain their entrance so late, since the girls predominate so strongly for these years. Then it may be contended further that the added maturity and experience of those later entrants may partly compensate for a lack of native ability, if such be the case, and thereby result in a relatively high percentage of non-failing pupils for this group.
It is readily conceded that the avoidance of failure in school work serves as only one criterion for gauging the pupils' accomplishment. It is accordingly important to inquire how the different age-groups of school entrants compare with reference to the persistence and ability which is represented by school graduation. A truly striking array of percentages follows in reference to the question of how many of the entering pupils in each age-group do graduate.
DISTRIBUTION OF THE PUPILS GRADUATING FOR EACH ENTERING-AGE GROUP
AGES Totals 12 13 14 15 16 17 18 19 20
796 B. 14 115 290 253 99 20 2 1 2 1140 G. 5 151 465 363 121 26 5 1 0
% of Entrants 79.1 56.6 38.8 29.9 20.0 13.4 9.1 10.0 13.3
These percentages bear convincing testimony in support of the previous evidence that the pupils of the earlier entering years are highly selected in ability. Of all the high school entrants they are the 'most fit,' the least likely to fail, and the most certain to graduate. The percentage of pupils graduating who entered at the age of 12 is approximately four times that of pupils who entered at the age of 16. Thirteen is more than four times as fruitful of graduates as age 17; fourteen bears a similar relationship to age 18; and the percentage for fifteen is three times that for age 19, as is apparent from the above figures. The fact that the decline of these percentages ceases at age 19 is probably due to the greater maturity of such later entrants.
When we make inquiry as to what portion of the graduates in each of the above groups 'goes through' in four years or less, we get the series of percentages indicated below.
PERCENTAGE OF THE GRADUATES WHO FINISH IN FOUR YEARS OR LESS, FOR EACH OF THE ENTERING-AGE GROUPS
Ages 12 13 14 15 16 17 18
% of Each Group 84.3 85.7 75.8 79.5 84.3 80.4 100
It appears that the ones in the older age-groups who do graduate are not so handicapped in reference to the time requirement for graduation as we might have expected them to be from the facts of the preceding pages. Perhaps that fact is partly accounted for by the not unusual tendency to restrain the more rapid progress of the younger pupils or to promote the older ones partly by age, so that by our school procedure the younger and the brighter pupils may at times actually be more retarded, according to mental age, than are the older and slower ones.
Since the same teachers, the same schools, and the same administrative policy were involved for the different entrance-age groups, the prognostic value of the factor of age at entrance will seem to be unimpaired, whether it operates independently as a gauge of rank in mental ability, or conjointly with and indicative of the varying influence on these pupils of other concomitant factors, such as the difference of economic demands, the difference of social interests, the difference in permanence of conflicting habits of the individual, or the difference in effectiveness of the school's appeal as adapted for the several ages. One may contend, and with some success, that the high school régime is better adjusted to the younger pupils, with the consequent result that they are more successful in its requirements. The distractions of more numerous social interests may actually accompany the later years of school age. In reference to the social distractions of girls, Margaret Slattery says,[23] "This mania for 'going' seizes many of our girls just when they need rest and natural pleasures, the great out-of-doors, and early hours of retiring." But surely such distractions are not peculiar to the girls alone. The economic needs that arise at the age of sixteen and later are often considered to constitute a pressing factor regarding the continuance in school. But VanDenburg[22] was convinced by the investigation, in New York City, of 420 rentals for the families of pupils that "on the whole the economic status of these pupils seems to be only a slight factor in their continuance in school." A similar conclusion was reached by Wooley,[24] in Cincinnati, after investigating 600 families, in which it was estimated that 73 per cent of the families did not need the earnings of the children who left school to go to work. The corresponding report by a commission[25] in Massachusetts shows 76 per cent. The same facts for New York City[26] indicate that 80 per cent of such families are independent of the child's wages. But Holley concludes,[27] from a study of certain towns in Illinois, that "there is a high correlation between the economic, educational, and social advantages of a home and the number of years of school which its children receive." It will hardly be denied that even aside from the relation of the family means to the school persistence, the economic needs may have a direct influence on the failing of the children in their school work, either because home conditions may be decidedly unfavorable for required home study, or because of the larger portion of time that must be given to outside employment, with its consequent reduction of the normal vitality of the individual or of his readiness to study. But, in spite of the possible interrelationship of these factors, it still appears that the school entrance age of pupils will serve as a valuable sort of educational compass to foretell in part the probable direction of their later accomplishment.
3. THE AMOUNT OF FAILURE AT EACH AGE AND ITS RELATION TO THE POSSIBILITY OF FAILING FOR THAT AGE
We have considered at some length the prognostic value of the age at entrance. Here we shall briefly consider the prognostic value of age in reference to the time when failures occur and the amount of failure for such age. If we were to total all the failures for a given age, as shown in Table I, what part will that form of the total subjects taken by these pupils at the time the failures occur? In other words, what are the percentages formed by the total failures on the possibility of failing, for the same pupils and the same semesters, considered by age groups? The summary line of Table I gives the total failures according to the ages at which they occurred. The number of pupils sharing in each group of these failures is also known by a separate tabulation. Then the full number of subjects per pupil is taken as 4½, since approximately 50 per cent of the pupils take five or more subjects each semester and the other 50 per cent take four or less (see p. 61). With the number of pupils given, and with a schedule of 4½ subjects per pupil, we are able to compute the percentages which the failures form of the total subjects for these failing pupils at the time. These percentages are given below.
THE PERCENTAGES FORMED BY FAILURES AT EACH AGE ON THE POSSIBILITIES OF FAILING AT THAT AGE AND TIME, FOR THE SAME PUPILS
Ages 13 14 15 16 17 18 19 20 21
% 36.6 38.0 37.9 40.9 40.8 41.2 41.3 42.0 42.7
[Footnote: These percentages are computed from the data secured in Table I, as noted above.]
There is an almost unbroken rise in these percentages from 36.6 for age 13 to 42.7 for age 21. Not only do a greater number of the older pupils fail, as was previously indicated, but they also have a greater percentage of failure for the subjects which they are taking. It seems appropriate here to offer a caution that, in reading the above percentages, one must not conclude that all of age 14 fail in 38 per cent of their work, but rather that those who do fail at age 14 fail in 38 per cent of their work for that semester. The evidence does not seem to indicate that the maturity of later years operates to secure any general reduction of these percentages. The prognostic value of such facts seems to consist in leading us to expect a greater percentage of failures (on the total subjects) from the older pupils who fail than from the younger ones who fail. If it were possible to translate the above percentages to a basis of the possibility of failure for all pupils, instead of the possibility for failing pupils only, the disparity for the different ages would become more pronounced, as the earlier ages have more non-failing pupils. But this we are not able to do, as our data are not adequate for that purpose.
4. THE INITIAL RECORD IN HIGH SCHOOL FOR PROGNOSIS OF FAILURE
For this purpose the pupil record for the first year, in reference to failures, is deemed more adequate and dependable than the record for the first semester only. Accordingly, the pupils have been classified on their first year's record into those who had 0, 1, 2, 3, and up to 7 or more failures. Then these groups were further distributed into those who failed 0, 1, 2, 3, and up to 7 or more times after the first year. From such a double distribution we may get some indication of what assurance the first year's record offers on the expectation of later failures. Table VII presents these facts.
Table VII is read in this manner: Of all the pupils who have failures the first year (805 boys, and 1,129 girls) 397 boys and 672 girls have failures later, 105 boys and 130 girls have 1 failure later, 77 boys and 98 girls have 2 failures later, while 68 boys and 63 girls have seven or more failures later. The column of totals to the right gives the pupils for each number of failures for the first year. The line of totals at the bottom gives the pupils for each number of failures subsequent to the first year.
The table includes 3,508 pupils, since those who did not remain in school more than three semesters are not included (1,120 boys, 1,513 girls). Obviously, those who do not stay more than one year would have no subsequent school record, and those remaining only a brief time beyond one year would not have a record of comparable length. It seems quite significant, too, for the purposes of our prognosis, that of the 2,633 pupils dropping out in three semesters or less only about 43 per cent have ever failed (boys--46 per cent, girls--41 per cent). In contrast to this, nearly 70 per cent (69.6) of those continuing in school more than three semesters fail one or more times. Those who drop out without failure, in the three semesters or less, constitute nearly 60 per cent of the total non-failing pupils (2,568), but the failing pupils who drop out in that same period constitute less than 32 per cent of the total who fail (3,573). This situation received some emphasis in Chapter II and will be further treated in Chapter IV, under the comparison of the failing and non-failing groups.
TABLE VII
SUBSEQUENT RECORD OF FAILURES FOR PUPILS FAILING 1, 2, 3, ETC., TIMES THE FIRST YEAR
FAILURES OF 1ST FAILURES SUBSEQUENT TO FIRST YEAR YEAR 0 1 2 3 4 5 6 7+ TOTALS
0 B. 397 105 77 50 47 37 24 68 805 G. 672 130 98 60 53 27 26 63 1129 1069 235 175 110 100 64 50 131 1934
1 B. 46 43 34 33 35 21 15 46 273 G. 65 43 53 33 33 19 17 67 330 111 86 87 66 68 40 32 113 603
2 B. 22 24 23 23 30 21 13 57 213 G. 42 32 27 21 22 13 15 83 255 64 56 50 44 52 34 28 140 468
3 B. 7 5 16 10 10 13 10 30 101 G. 8 9 7 10 17 6 7 41 105 15 14 23 20 27 19 17 71 206
4 B. 6 8 5 7 7 11 7 23 74 G. 8 7 5 6 10 8 4 27 75 14 15 10 13 17 19 11 50 149
5 B. 3 1 0 2 1 5 3 11 26 G. 5 9 5 6 5 4 2 14 50 8 10 5 8 6 9 5 25 76
6 B. 0 1 4 2 1 1 1 10 20 G. 2 1 2 2 6 2 0 6 21 2 2 6 4 7 3 1 16 41
7+ B. 3 2 1 0 1 0 2 5 14 G. 1 2 1 1 5 2 0 5 17 4 4 2 1 6 2 2 10 31
Tot. B. 484 189 160 127 132 109 75 250 1526 G. 803 233 198 139 151 81 71 306 1982 1287 422 358 266 283 190 146 556 3508
Referring directly now to Table VII, we find that 44.7 per cent of those not failing the first year do fail later. Of all those who fail the first year, 13.8 per cent escape any later failures. Of all the pupils included in this table 15.8 per cent have 7 or more failures, while of those failing in the first year 27 per cent later have 7 or more failures. For the number included in this table 30.4 per cent have no failures assigned to them.
PERCENTAGE OF FIRST YEAR FAILING GROUPS, WHO LATER HAVE NO FAILURES
No. of F's. in First Year 1 2 3 4 5 6 7+
Per Cent of Groups Having No Failures Later 18.4 13.7 7.2 9.4 10.5 5.0 12.9
About the same percentage of the boys and of the girls (near 60 per cent) is represented in Table VII. The girls have an advantage over the boys of about 8 per cent for those belonging to the group with no failures, and of about 1 per cent for the group with seven or more failures.
No unconditional conclusion seems justified by this table. In the first year's record of failures there are good grounds for the promise of later performance. We may safely say that those who do not fail the first year are much less likely to fail later, and that if they do fail later, they have less accumulation of failures. Yet some of this group have many failures after the first year, and others who have several failures the first year have none subsequently. Generally, however, the later accumulations are in almost direct ratio to the earlier record, and the later non-failures are in inverse ratio to the debits of the first year.
5. THE PROGNOSIS OF FAILURES BY THE SUBJECT SELECTION
From the distribution of failures by school subjects as presented in