IP 1/35 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE BY ARTHUR K. BEIK Clark University A DLSSERTATION SUBMITTED TO THE FACULTY OF CLARK UNIVERSITY, WORCESTER, MASS., IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY, AND ACCEPTED ON THE RECOMMENDATION OF WILLIAM H. BURNHAM Reprinted from the Pedagogical Seminary September, 1913, Vol. XX, pp. 277-321 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE BY ARTHUR K. BEIK Clark University A DISSERTATION SUBMITTED TO THE FACULTY OF CLARK UNIVERSITY, WORCESTER, MASS.. IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY, AND ACCEPTED ON THE RECOMMENDATION OF WILLIAM H. BURNHAM Reprinted from the Pedagogical Seminary September, 1913, Vol. XX, pp. 277-321 v^' s^ ^ Tb« University Uf 23 1811 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE^ By Arthur K. Beik, Clark University Introduction Child study has recognized in a general way alternating, or at least differentiated, periods of development, roughly classified according to predominant characteristics, physical and mental, and located with reference to the age of the child in years. Infancy is the term usually applied to the first year or years of life. Following infancy there comes the period of childhood, pretty sharply marked off at the later limit by the characteristics accompanying the attainment of pubescence. The period of childhood is again variously divided by the different authors, the location of the division points depend- ing upon the characteristics chosen as division marks. Be- cause of the grouping of some important factors about those years at which school is usually begun, it is becoming more general to designate this as a natural division point, or per- haps better, nodal period, of development. The time preced- ing this nodal period is referred to as " earlier childhood," while the time from this to the appearance of pubescence is referred to as " later childhood." Later childhood, then, be- ^ Pres. G. Stanley Hall suggested the field in which to work out this thesis. The suggestions, advice and helpful criticism received from Dr. W. H. Burnham made its completion possible. For the helpful assistance from both these persons the writer wishes to acknowledge his indebtedness. He wishes also to express his thanks to those who assisted in the collection of material, among whom should be mentioned especially Dr. Theodate L. Smith and the library staff. 278 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE gins approximately at the time of entrance to the graded school and continues up to, or until a short time after, the completion of the graded school work, and might well be characterized as " the age of the grades." The fact that it does so nearly coincide with the grade school years makes later childhood a most important period from the view points of child study and pedagogy. It is a period deserving of the closest study, especially as regards the child's development and his fitness to succeed in the tasks and cope with the new situations presented in the school environment. Following a brief characterization of the developmental features at the close of this later childhood period, it is our intention to take up in this paper a somewhat more detailed discussion of those developmental features that group them- selves about its beginning. It is our purpose to collect and condense available facts and data from the many investiga- tions that have dealt with particular phases of development in these early years, to relate them in so far as is possible, and to suggest something of their significance. What we have chosen to call the later limit of childhood is marked by those special phases of development that accom- pany the attainment of pubescence. It would be useless, for our purpose, to attempt a detailed description of these, though it may be worth while to mention a few of the more important points to which we may wish to refer later. Very prominent among the physical changes characteristic of the pubescent period is that of growth, both in height and weight. Growth in height shows a remarkable acceleration, extending over several years. The average time for girls is from the tenth or eleventh to the thirteenth or fourteenth year, while for boys it runs from about the eleventh or twelfth to the fifteenth or sixteenth years. Most curves show a simi- lar acceleration in weight following a little later, and occur- ring also a little earlier in girls than in boys. Both height and weight continue to increase for some time after this rapid acceleration, but at a slower and more uniform rate, so that boys and girls may be said to have almost reached adult size at the close of the rapid pubertal weight increase. Closely related to these phenomena of general growth, occur rapid growth of certain parts and organs, rapid changes in body proportions, remarkable additions in muscular power, change in quality and increase in quantity of possible mental achievement, and, perhaps most important of all, the attain- ment of pubescence. Dr. Crampton, e. g., would seem to give the factor of PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE 279 pubescence a place of prime importance, since he makes it the basis of grading for " physiological age " during this period (26). Data with regard to time of eruption of the teeth seem to indicate a close relationship of dentition to the general stage of advancement of development. From tabulations of the number of canines and molars present, Crampton finds a definite correlation of tooth appearance and weight and of tooth appearance and height (26). The more extended in- vestigations of dentition are of interest in this connection also. Boas and Wissler (11), Berten (8), and Rose {'j']^ all found that the eruption of the teeth was earlier, on the average, for girls than for boys. Recalling the fact of earlier pubescence of girls, the suggestion of a relationship between pubescence and dentition, or perhaps better, the relationship of both dentition and pubescence to the general stage of advancement in development, is strong. There is a problem here worthy of further investigation. More knowledge of the relationship of advancement of dentition at this time to other factors of development ought to be very valuable. Studies of the skeletal development, as worked out by Rotch (80), Pryor (70) and others, while not showing cor- relations for ossification of any particular part of the skeleton with pubescence, show in a general way a greater rapidity in girls at this stage of life. Great variability in degree of rapidity is also shown, especially by the work of Rotch and Smith (81) and also by that of Pryor indicated above. Variability in the time of these developmental phenomena is everywhere evident. Tabulations of growth all show that the acceleration extends over several years. Variability is fully as great in dentition, as indicated by the tabulations for time of tooth eruption. Time of appearance of pubescence is also extremely variable. Crampton found this factor ap- pearing in boys from 12.75 to 16.25 years of age. These main facts concerning the developmental phenomena prominent at the pubescent period are sufficient to indicate that the actual limitation of childhood is not to be referred to a mere temporal reckoning of the length of life, but rather to development. They indicate also that this limit does not coincide with a definitely marked " time line," but rather constitutes a broad " time zone " within which the transition from later childhood over to the earlier stages of the ado- lescent period is accomplished. Within this zone, the varia- bility is sufficiently great, as has been pointed out by Dr. Crampton, Rotch and Smith, Pryor and others, to render grad- ing on the basis of chronological basis alone inade^^juate. 280 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE Finally, this stage of development is reached by girls earlier than by boys, as has been indicated by almost every study of development having to do with this period of life. While the close of later childhood is thus pretty clearly marked off by prominent developmental features, there is not at its beginning such a clear cut and astounding transition. Those factors which may be used as marks of development are much harder to distinguish, and therefore to correlate. There is available, however, a considerable body of facts that may assist us in the solution of one or two of the most im- portant problems that have to do with this period, and in the statement of some other problems that need solution. Among the important problems are these two : ( i ) Is there, at the age of five or six or seven years, evidence of a transition or nodality of development comparable in any man- ner to the transitional stage at puberty? (2) Is the advance- ment in the two sexes equal at this period of life, and if not, how do they differ? We shall take these up in order. Evidences of Nodality The School Age. — Turning to the first of the problems just indicated, it may be worth while, before taking up the dis- cussion of actual physical characteristics, to point out that this period of the child's life has for centuries been recog- nized in a practical way as transitional, in that it represented the time for the beginning of formal education. The actual chronological age differed somewhat with different peoples, but for the most part formal training, as distinguished from home training was begun at the age of six or seven years. Of China, Douglass wrote (31, p. 165) : " School life commonly begins at the age of six, and the youthful learner is at once set to learn by heart easy text-books which give in short sentences the leading principles of Chinese polity." Monroe states that in the old Greek period the Spartan boy was taken after seven years of training under the direct care of the mother and put under charge of assistants to the paeda- monus, being cared for from that time on in public barracks at public expense (56, p. 74). Similarly, Athenian boys began attendance at school at about the age of seven years (56, pp. 82-3). Plato, in his ideal Republic would have the boys taught music and gymnastics from the age of seven on (56, p. I3.s)- Medieval and modern education have fallen into line. The legal age for school entrance in most states, and in most countries also, at the present time, falls within the sixth or seventh year. Thus in the educational practice of most nations it has been found experimentally that at about this time of PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE 281 life the child has reached such a stage of development that he can undertake the tasks involved in education of a formal nature. If, now, we turn attention to the more tangible evidences of the stage of development, we are led to several considerations. There are the matters of growth, both in height and weight, dentition, growth of various parts of the body, including skull, brain, larynx, eye, etc. Another group of facts also, related both to neurological structure and to psychology may be added. These have to do with the neuro-muscular control of the child. Finally, a few suggestions may be obtained from the field of pathology. Height and Weight. — As regards growth in height and weight, it is generally agreed that the closing years of the later childhood period are years of retarded growth. This con- clusion is based upon the results of numerous extended inves- tigations. Conclusions regarding the earlier years of the period are much less definite, partly because of insufficient data, partly because of a difficulty in interpreting the mean- ing of the growth curves for these years. Burk, who summarized the available statistics up to the time of his study, 1898, writes as follows (17, p. 257) : " If now we turn to Table A of heights, taking, for example, the larger American studies of Bowditch, Peckham and Porter, we see that the rate of growth is somewhat rapid in the beginning, the sixth or seventh year, and decreases with fluctuations until about ten years in girls and twelve years in boys, when the prepubertal acceleration sets in. This general decrease is to be noticed in all the larger studies, though the year of the beginning of prepubertal increase varies a year or so. The same decrease in rate from six years up to the time of the prepubertal increase is to be observed similarly in the case of girls. Curves constructed from absolute annual increases show, as a rule, in this childhood' period one or two pronounced fluctuations, but they do not occur with a regularity in all charts sufficient to be of assurance that their cause is certainly physiological and not merely statistical. Nevertheless, it will be observed that the curves are by no means regular. . . ." Although pointing out thus clearly the irregularities in the curve for these early years, Burk goes on to conclude that, in the absence of determinative data, it is perhaps better to re- gard the period from about six years on as one of a general decrease in growth rate, with one or two minor fluctuations. The investigations of Combe, Landsperger and Carstadt, made upon a comparatively small number of children, but more upon an individual plan, are pointed to as justifying this view (17, p. 258). Smedley, in the Chicago investigations, noticed something 282 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE of these irregularities in the early school years. Following his reference to the pubescent acceleration of growth, he writes (84, p. 32) : " The charts seem to show that a similar but less well marked period of activity is present from the beginning of school life to the age of nine." Englesperger and Ziegler (32, Bd. i) found that of the children in the first year of school, those between the ages five years and nine months and six years were noticeably smaller, on the average, than those from si'x years and one month to seven years of age. The averages for these periods were : Boys Girls 5 yr. 9 mo. — 6 yr.= 109.65 cm. 106.25 cm. 6 yr. I mo. — 7 yr.= 11 1.66 cm. 110.77 cm. They found considerable differences in height at this period between half year, and even fourth year groups. A tabulation comparing the weights of these periods showed that a smaller percentage of those under six years had gained than of those over six years of age. This was on the com- parison of weights eight weeks apart at the beginning of school. Stratz (86, p. 66), in Germany, on the basis of rather limited statistics, agrees with a former author, Bartel, in making the first four years a period of bodily " fullness." the years from five to seven, inclusive, a period of " stretching," or spurt of growth, and the years eight to ten a second period of bodily fullness, preceding a second spurt from the age of eleven to fifteen. So far as available statistical material is concerned, growth in weight presents a condition similar to growth in height. Without giving the data these tabulations may be character- ized briefly, and their indications may be stated. Most tabu- lations begin with the school age and continue from that time on, thus preventing comparisons with the years that precede. Usually, also, the number of data for the earliest school years are few in number. Again, statistics for weight present an added difficulty in interpretation because of the greater variability in this factor. So far as comparisons of absolute figures may be relied upon, there is only a continuous but variable increase in weight from year to year in the two sexes, up to the age of nine or ten, when a retardation occurs. Boys appear to be slightly superior, throughout the entire course. There is slight suggestion of a spurt of growth in the be- ginning school years, but there is not sufficient evidence to establish the point. What is needed here is a collection of PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE 283 more data, beginning with the lower years and continuing through the beginning school years. One cannot see in these studies of height and weight a definite proof of a character- istic of growth at this period. It is a fact, however, that from the larger investigations the results strongly suggest a slight acceleration. It is also to be remembered that most of the tabulations have paid attention to yearly age groups only. Much more accurate would be a comparison of age groups for fourth years or perhaps for months. The rather indefinite studies of development, as indicated by increase in growth in height and weight, may be supple- mented by some more definite facts with regard to individual organs or parts of the body that give more distinct evidence of a nodality at the school age. Development of Teeth and Jazvs. — The period with which we are here dealing is distinctly a transitional one as regards the development of the teeth and jaws. These present a num- ber of phenomena, transitional as well as developmental in their nature, that group themselves about the years in which the change from first to second dentition occurs. Some of these are very evident, others less so, but altogether they make up such a group of developmental processes, so closely asso- ciated with each other, and also to other phases of physical and mental development that they deserve to be noted con- siderably in detail. Aside from this, there are also other well grounded reasons for dwelling somewhat at length upon this topic, i. Anatom- ically, the teeth and jaws are the most important structures in the facial part of the skull. Much of the remaining por- tion is of rather secondary nature, its purpose being to fur- nish place for attachment of muscles or to give proper bracing and support for these parts. 2. On the side of physiological functioning the teeth and jaws are extremely important. Upon them devolves a great part of the preparation of food in the process of digestion, not to mention the part they play in articulate speech. 3. Again, from the view point of hygiene, it may be said that columns of good, sound teeth, so located as to bring their chewing surfaces into proper occlusion, are requisites of good health. The absence of these conditions may lead to any of a number of allied disturbances, to which more detailed reference will be made later. 4. Finally, since they occupy so prominent a place anatomically, the form and general outline of the face are to a great extent dependent upon teeth and jaws. It therefore follows that from the view point of esthetics the proper formation and development of teeth and jaws may not be left unconsidered. Thus we may 284 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE say that from any of the four view points, esthetic, hygienic, functional or structural, development of teeth and jaws de- serves the fullest consideration. We shall attempt to con- sider the topic from all four of these view points in the follow- ing paragraphs devoted to it. While most concerned with the transitional phenomena, so much depends upon preceding and following developmental processes that a rapid review of the entire period of dentition may be of value in setting forth more clearly the character- istics of the transitional period. In this review, it is assumed that the reader's general knowledge of form, names, and com- position of the teeth is sufficient to render detailed descrip- tions unnecessary. Since similar knowledge with regard to the jaws, on the other hand, seems to be less general, descrip- tions of the principal structures with which we shall need to deal will be included. For the sake of clearness, the facts with regard to development of the teeth will be presented first, then those with regard to development of the jaws. With these two groups of facts before us, we may next proceed to discuss their relationship and its significance, and arrive at some conclusions. With these hints as to method of proced- ure before us, we turn next to the presentation of the facts. Although the eruption of the first or temporary teeth from the gums does not take place until some time after birth, the formation of their crowns begins very early in the developing embryonic jaw. Their calcification is already far advanced at the time of birth. The early formation and development of these is somewhat as follows : Above the gums, along the rudimentary jaw of the embryo, there is formed very early a ridge of epithelial cells. At each of the ten points at which a tooth crown is to be formed, a depression or invagination occurs in this ridge, pushing on downward into the jaw in a line, as it were, or tube, and expanding at the end into a bell-shaped structure, — the enamel organ. Gradually the enamel organ grows down over the top and sides of a small mound-like enlargement that rises up from the deeper tissue, — the dental germ. Again a little later the connection of the enamel organ with the epithelial ridge above is lost, enamel organ and dental germ together become isolated from the surrounding parts and enclosed in a " dental sac," and within this sac the two organs proceed to build up the parts of the tooth crown. Out of the soft cells that make up the enamel organ is formed the enamel ; out of those of the tooth germ is formed the dentine or ivory of which the inner part of the tooth is composed, and within which, again, is the open cavity containing the pulp. PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE 285 The transformation of these soft cells into the hard struc- tures of the crown is accomplished by means of the deposition of lime salts within the cells themselves, and is usually spoken of as a process of calcination or calcification. The processes are not the same in both cases, however. While the cells of the enamel organ become changed into solid crystals, those of the dental germ receive the lime deposits only around the outside in such a way that the resulting structures are elongate tubes. The central, uncalcified portions remain as fine fibrils which are connected with the soft pulp of blood-vessels and nerves that fill the inner cavity of the tooth. The dentine tubes thus formed are of considerable length and extend out- ward radially from the pulp cavity to the enamel " roof " of the tooth. The direction in which the calcification proceeds differs in the two organs. It will be remembered that the enamel organ folds over and encloses the dental germ. Now, the calcifica- tion begins at the contiguous surfaces of the two organs and proceeds in both directions. For the enamel cells, then, cal- cification proceeds from the inner surface toward the outer; for the dentine cells, it proceeds from the outer surface in- ward toward the pulp cavity. Enamel and dentine differ also in another way. The enamel crystals receive no more nourishment after being once formed. The dentine cells, on the other hand, continue to receive some nourishment throughout the life of the tooth by means of the soft fibrils in the central tubular portions. (St,, p. 31.) As the development of a crown proceeds beneath the gums there is deposited around it a layer of bony substance, so that by the time it is completed it is almost enclosed in a bony case or crypt. The top of the crypt is open, though the aperture is not large enough for the crown to pass through without absorption of some of the tissue from its edges. This is what occurs at the time of eruption of the crown. After the manner thus described there are formed ten tooth crowns in each of the jaws. Their calcification is not entirely completed by the time of birth, but it is completed within the first few months of life. Then they emerge from the gums to form the " temporary set " that functions during the early years of the child's life. Of these, the incisors and canines are small, as compared with the corresponding teeth that follow. The bicuspids, or milk molars, on the other hand, are larger than the permanent bicuspids that follow. In this way ample provision is made for the mastication of such 286 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE foods as the child is able to digest and assimilate during his early years. Some weeks after birth the crowns of the temporary set are completed and begin to erupt from the gums. The first become visible at about the sixth to eighth month of life, usually, and at the age of about two and one-half to three years the child is equipped with a full set of twenty. Ap- pearance is usually in groups, beginning with the central in- cisors and proceeding, in a general way, backward from these, with intervals of time elapsing between the several groups. Witzel reports the usual time for the eruption of these, as given by Thomas and Baume, to be as follows (98, p. — ) : Central incisors 6-8 mo. Lateral incisors 6-12 mo. Anterior bicuspids 12-16 mo. Canines 15-20 mo. Posterior bicuspids 20-30 mo. The basis for this statement is not given, no mention being made of actual investigation. The periods given are those within which the eruption from the gums usually occurs. It is possible for the teeth to appear much later, however, and yet be normal. It is also possible for a few of the crowns to be already visible at birth and the teeth be normal, though this is very often the result of diseased conditions. The process by which a tooth crown erupts is somewhat complex. The edges of the opening in the bony ciypt must first be reabsorbed, making room for the crown to push through. The gums that form the covering are next absorbed. While this is going on and the crown gradually pushing up- ward, additions are made to the root from cells at the base of the crown, and, once the final position is attained, the root becomes fastened into place by the bony tissue built up around it. The root canal remains as a rather wide opening for some time, however, the dentine being built up gradually until the root is solid, except for the narrow canal through which the vessels and nerves are admitted to the pulp cavity. The tissue built up around the teeth and within which their sockets are found is known as the alveolar border of the jaw or alveolar process. It is developed with the teeth and apparently for the specific purpose of holding them in posi- tion. Fuller description of it may be reserved until later. A description of the means by which the tooth roots are firmly fastened within it, however, is in place at this point. This can best be given in the words of Dr. Angle, taken from his paragraph on "Peridental Membrane" (i, p. 122). PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE 287 " The peridental membrane is a strong, fibrous membrane forming a close, cushion-like investment of the roots of the teeth, and is the medium of attachment between the alveolar process and the cementum. It is composed largely of inelastic connective tissue, and is richly supplied with nutrient vessels, nerves, cells, and glands. Its function is three-fold : " First, vital, for the formation of the alveolar process on one side and the cementum on the other. " Second, sensory, through which the most delicate touch of the tooth is felt. " Third, physical, holding the tooth in position in the alveolar socket, and resisting the movements of the teeth in the various directions. It also supports the soft tissues about the teeth." Continuing, Dr. Angle enumerates the kinds of cells of which the peridental membrane is composed as, /, fibroblasts, for the formation of fibers of the membrane ; 2, osteoblasts, for the formation of the alveolar process ; 5, cementoblasts, for forming the cementum ; 4, osteoclasts, for disintegrating calcified tissue; and finally, 5, glands, the function of which is as yet imperfectly understood (i, p. 123). Malposition of temporary teeth is rare. When it does occur, it is easily corrected, under normal conditions, by means of the pressure from lips and tongue. But while this is true, abnormal conditions may as readily cause the teeth to be moved from their proper positions and thus bring about a malocclusion. But the temporary crowns are not formed alone in the embryonic jaw. The beginnings of the permanent crowns are also present at a very early stage. Very early in the develop- ment of the enamel organ of each of the temporary teeth a second line or tube of epithelial cells pushes down by its lingual side. It appears as a branch of the tube which de- velops into the enamel organ of the temporary tooth. In structure, too, it is similar, and its development, later, after the manner described for the temporary tooth, results in the formation of the crown of the permanent tooth. Aside from the ten corresponding to the crowns of the temporary set, there are also six other germs in each jaw, as the beginnings of the molars of the second set. The child at birth, then, has in each jaw the almost completed crowns of the ten teinporary teeth and also the germs of the sixteen permanent teeth at various stages of development. The com- pletion of the permanent crowns is of course later than that of the temporary, their time of most rapid growth, according to Pedley (62) being from birth to three or four years of age. Johnson places the critical period for their calcification at from birth to the age of five years, that of the first perma- nent molars having been begun even before the birth of the child (51). 288 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE The time of these processes is given more in detail by Witzel (98, p. 17) : " The calcification of the crowns of the incisive teeth begins between the first and second year and the calcification of the canine tooth in the third year. In the fifth year of age the tuberosities for the second molar tooth are developed and in the ninth those for the third. About the time of the ninth year no remarkable processes of calcification take place in the crowns, except in the wisdom tooth, but the roots are not everywhere fully developed. . . ." The ages mentioned are of course only approximate, and vary within wide limits. From this it follows that from birth to about five years of age is a critical period for all the permanent set, except the wisdom teeth. During this period the dental germs, many of which have begun development at the time of birth, attain their final form, make their most rapid growth and undergo a great part of the process of calcification. In this connection it should be emphasized that when once formed and com- pletely calcified, these crowns are adult crowns, as large as they will ever be, and subject to neither growth nor repair, so far as the organism to which they belong is concerned. Completion of the crowns is accompanied by enlargement of the alveolar border and growth in some parts of the jaw, with considerable redistribution of the inner structures. Thus far we have noted the principal features in the forma- tion and calcification of the temporary crowns, marked the important changes involved in their eruption and in their fixation into position by means of developing root structures and alveoli, and have traced the important steps in the process by which the permanent crowns are formed, developed and calcified within the alveolar portions of the jaws. Each one of these is a developmental feature characteristic of the earlier years, and constitutes a step in the preparation for the coming of the permanent teeth. The time immediately preceding sec- ond dentition is therefore a remarkable one for the child, considered from the view point of his dentition. Within his jaws there are i, a full set of twenty functioning temporary teeth, 2, the practically completed crowns of their twenty suc- cessors, many of which are larger, j, the completed crowns of the four first permanent molars and practically completed crowns of the four second molars, and 4, the only partially developed germs of four wisdom teeth or third molars. This is the normal condition of the child's jaws at the age of five or six years. Transition to the second dentition usually begins very soon afterward. In discussing the eruption of the permanent crowns we may PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE 289 first give attention to the time of their appearance, and then turn to the description of the process by which it is brought about. Time of appearance of the permanent teeth has been made the object of a number of investigations. Some of these are of no vakie for our purpose, since they do not differentiate the sexes. Of the three available that do, one is not extended, but the other two are sufficiently so to make their results valuable. First let us turn to the statistics of Boas and Wissler. Their material was a series of plaster casts taken from the palates of 219 boys and 276 girls. They therefore contain data for the upper jaw only. The following Table A is their table numbered " XI C." giving results in percentages (ii, p. 34) : TABLE A. Percentage of Children Having Permanent Teeth. Age Boys Girls In. Inc. Out. Inc. Can. Bic. ist Mol. 2nd Mol. In. Inc. Out. Inc. Can. Bic. ist Mol. 2nd Mol. 6 30 4 65 38 9 6 15 83 2 7 40 6 3 3 83 79 28 2 41 92 8 81 26 19 100 84 48 9 45 93 6 9 97 67 30 7 100 59 9 45 100 2 10 100 63 33 66 3 94 82 14 73 8 1 1 95 61 100 9 96 96 73 83 20 12 100 85 38 100 100 86 100 32 13 91 68 88 88 68 14 IOC 66 90 9c 90 15 75 100 IOC 100 Averages and variabilities were computed for the time of appearance of the several teeth and found to be as follows (12, p. 35): Boys Inner incisors 7 • 5 ± i • 5 y- Outer incisors 9.5^2.1 Bicuspids 9.8±i.6 Canines ii.2±i.4 Second molars 13.2 ±2.0 Girls 7.0 ±1.6 yr. 8.9± 2.1 9.0 ± 2.8 1 1 . 3 ± I . o 12. 8± 1.6 290 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE fe 1— ] _ as 1^ P. First Molars S 1—4 M '^ " rO eg 00 N N ro MM MP) T^CO 10 M Oh 10 ro MM MM 1 ;:3 (n. CO • vO 00 On VO M CO W-) ro !N : " P) r- M H u m a^ : " M CO • 0 CO M ir-, ro M On O>C0 « ^ u-1 t^ uooo M T^ M M l-H S h- 1 N • ro 10 t^ rt- On 1^ ^ CI M M to M M M ro On -t M ;d p. • t^ •+CO t^ U-. (y. ro I^ M M 1-. ^ M u-) 0\ " " M On t^ M M H l-t Sf^ Sf^ Sf^ Sf=^ Sfe Sf^ ^fe V c a > a < i H J 1 10 10 1 1 10 i 00 1 to 00 1 CO On 1 00 PHYSIOLOGICAL AGE AND SCHOOL ENTRANCE 291 • ro t-- CO oj VO M CI ro -t 1- M t^ I/-, -t- o On On m M U"' roCO CO On 10 NO M *-I IN CS vO l-~ ro <-> NO t- ■* On •* 00 ro ro^ 1000 t^ ro 00 T}- 00 T)- CI 1-1 Cl NO CO On " " M W w Cl Cl M M " M 'O M 1-1 t— -1- -t Cl M -i- NO I>- On M ro ^' rOCO "too CO ro >+ CO M Cl M KH M h^ M M M M l-l Cl M w M M t^ t^ On Tt-MO CO "-) t- On lO '^ UO Cl NO 00 M IN t^ ro M t^ ro Tt M -+ NO On N " M M C< H Cl M Cl M M M H M ^ OvO 00 ro \n 10 CO ON M 00 Cl 1-1 -* CJ C^ 1-1 to CO On t^ CO CO ■* 10 On CO NO On m " M M M M M M 0\ 0\ fO r^oo cj N 00 On t^ fO -^ ro t^ 10 NO 0, w M N M (N CN N M N N N ci N N H (S H H t-- On On I^ M On >~* r^ -1- t^ C) ro M ro On 00 NO \0 *~i rr-j -t CO NO cj -1- Cl t^ uonO On M d H (N M IN CI M CI Cl Cl M Cl M M roW3 mD r^ OnO tKS •* uo t-. CJ -^t N 1> N + (S 1> C) M (N N fS