The undersigned Committee agrees upon the following
report, each member reserving for himself the expression
of his individual divergence from the opinion
of the majority, by a statement appended to his signature,
enumerating the points to which exception is
taken and the grounds for them.
Your Committee understands by correlation of
studies:—
First, the arrangement of topics in proper sequence
in the course of study, in such a manner that each
branch develops in an order suited to the natural and
easy progress of the child, and so that each step is
taken at the proper time to help his advance to the
next step in the same branch, or to the next steps in
other related branches of the course of study.
Second, the adjustment of the branches of study in
such a manner that the whole course at any given time
represents all the great divisions of human learning,
as far as is possible at the stage of maturity at which the
pupil has arrived, and that each allied group of studies
is represented by some one of its branches best
adapted for the epoch in question; it being implied
that there is an equivalence of studies to a greater or
less degree within each group, and that each branch of
human learning should be represented by some equivalent
study; so that, while no great division is left unrepresented,
no group shall have superfluous representatives,
and thereby debar other groups from a proper
representation.
Third, the selection and arrangement of the branches
and topics within each branch, considered psychologically,
with a view to afford the best exercise of the
faculties of the mind, and to secure the unfolding of
those faculties in their natural order, so that no one
faculty is so overcultivated or so neglected as to produce
abnormal or one-sided mental development.
Fourth and chiefly, your Committee understands by
correlation of studies the selection and arrangement
in orderly sequence of such objects of study as shall
give the child an insight into the world that he lives
in, and a command over its resources such as is obtained
by a helpful co-operation with one’s fellows.
In a word, the chief consideration to which all others
are to be subordinated, in the opinion of your Committee,
is this requirement of the civilization into
which the child is born, as determining not only what
he shall study in school, but what habits and customs
he shall be taught in the family before the school age
arrives; as well as that he shall acquire a skilled acquaintance
with some one of a definite series of trades,
professions, or vocations in the years that follow
school; and, furthermore, that this question of the
relation of the pupil to his civilization determines what
political duties he shall assume and what religious
faith and spiritual aspirations shall be adopted for the
conduct of his life.
To make more clear their reasons for the preference
here expressed for the objective and practical
basis of selection of topics for the course of study
rather than the subjective basis so long favored by
educational writers, your Committee would describe
the psychological basis, already mentioned, as being
merely formal in its character, relating only to the exercise
of the so-called mental faculties.
It would furnish a training of spiritual powers analogous
to the gymnastic training of the muscles of the
body. Gymnastics may develop strength and agility
without leading to any skill in trades or useful employment.
So an abstract psychological training may develop
the will, the intellect, the imagination, or the
memory, but without leading to an exercise of acquired
power in the interests of civilization. The game of
chess would furnish a good course of study for the discipline
of the powers of attention and calculation of
abstract combinations, but it would give its possessor
little or no knowledge of man or nature. The psychological
ideal which has prevailed to a large extent in
education has, in the old phrenology, and in the recent
studies in physiological psychology, sometimes given
place to a biological ideal. Instead of the view of
mind as made up of faculties like will, intellect, imagination,
and emotion, conceived to be all necessary to
the soul, if developed in harmony with one another,
the concept of nerves or brain-tracts is used as the
ultimate regulative principle to determine the selection
and arrangement of studies. Each part of the brain is
supposed to have its claim on the attention of the educator,
and that study is thought to be the most valuable
which employs normally the larger number of
brain-tracts. This view reaches an extreme in the
direction of formal, as opposed to objective or practical
grounds for selecting a course of study. While the
old psychology with its mental faculties concentrated
its attention on the mental processes and neglected
the world of existing objects and relations upon which
those processes were directed, physiological psychology
tends to confine its attention to the physical
part of the process, the organic changes in the brain
cells and their functions.
Your Committee is of the opinion that psychology
of both kinds, physiological and introspective, can
hold only a subordinate place in the settlement of
questions relating to the correlation of studies. The
branches to be studied, and the extent to which they
are studied, will be determined mainly by the demands
of one’s civilization. These will prescribe what is most
useful to make the individual acquainted with physical
nature and with human nature so as to fit him as an
individual to perform his duties in the several institutions—family,
civil society, the state, and the Church.
But next after this, psychology will furnish important
considerations that will largely determine the methods
of instruction, the order of taking up the several topics
so as to adapt the school work to the growth of the
pupil’s capacity, and the amount of work so as not to
overtax his powers by too much, or arrest the development
of strength by too little. A vast number of subordinate
details belonging to the pathology of education,
such as the hygienic features of school architecture
and furniture, programmes, the length of study
hours and of class exercises, recreation, and bodily
reactions against mental effort, will be finally settled
by scientific experiment in the department of physiological
psychology.
Inasmuch as your Committee is limited to the consideration
of the correlation of studies in the elementary
school, it has considered the question of the course of
study in general only in so far as this has been found
necessary in discussing the grounds for the selection
of studies for the period of school education occupying
the eight years from six to fourteen years, or the school
period between the kindergarten on the one hand and
the secondary school on the other. It has not been
possible to avoid some inquiry into the true distinction
between secondary and elementary studies, since one
of the most important questions forced upon the attention
of your Committee is that of the abridgment of
the elementary course of study from eight or more
years to seven or even six years, and the corresponding
increase of the time devoted to studies usually assigned
to the high school and supposed to belong to
the secondary course of study for some intrinsic reason.
Your Committee would report that it has discussed
in detail the several branches of study that have found
a place in the curriculum of the elementary school,
with a view to discover their educational value for developing
and training the faculties of the mind, and
more especially for correlating the pupil with his
spiritual and natural environment in the world in
which he lives.
There is first to be noted the prominent place of
language study that takes the form of reading, penmanship,
and grammar in the first eight years’ work of the
school. It is claimed for the partiality shown to these
studies that it is justified by the fact that language is
the instrument that makes possible human social organization.
It enables each person to communicate
his individual experience to his fellows and thus permits
each to profit by the experience of all. The
written and printed forms of speech preserve human
knowledge and make progress in civilization possible.
The conclusion is reached that learning to read and
write should be the leading study of the pupil in his
first four years of school. Reading and writing are
not so much ends in themselves as means for the
acquirement of all other human learning. This consideration
alone would be sufficient to justify their
actual place in the work of the elementary school. But
these branches require of the learner a difficult process
of analysis. The pupil must identify the separate
words in the sentence he uses, and in the next place
must recognize the separate sounds in each word. It
requires a considerable effort for the child or the savage
to analyze his sentence into its constituent words,
and a still greater effort to discriminate its elementary
sounds. Reading, writing, and spelling in their most
elementary form, therefore, constitute a severe training
in mental analysis for the child of six to ten years of
age. We are told that it is far more disciplinary to the
mind than any species of observation of differences
among material things, because of the fact that the
word has a twofold character—addressed to external
sense as spoken sound to the ear, or as written and
printed words to the eye—but containing a meaning
or sense addressed to the understanding and only to
be seized by introspection. The pupil must call up
the corresponding idea by thought, memory, and
imagination, or else the word will cease to be a word
and remain only a sound or character.
On the other hand, observation of things and movements
does not necessarily involve this twofold act of
analysis, introspective and objective, but only the
latter—the objective analysis. It is granted that we
all have frequent occasion to condemn poor methods
of instruction as teaching words rather than things.
But we admit that we mean empty sounds or characters
rather than true words. Our suggestions for the
correct method of teaching amount in this case simply
to laying stress on the meaning of the word, and to
setting the teaching process on the road of analysis
of content rather than form. In the case of words
used to store up external observation the teacher is
told to repeat and make alive again the act of observation
by which the word obtained its original meaning.
In the case of a word expressing a relation between
facts or events, the pupil is to be taken step by
step through the process of reflection by which the
idea was built up. Since the word, spoken and written,
is the sole instrument by which reason can fix,
preserve, and communicate both the data of sense and
the relations discovered between them by reflection,
no new method in education has been able to supplant
in the school the branches, reading and penmanship.
But the real improvements in method have led teachers
to lay greater and greater stress on the internal
factor of the word, on its meaning, and have in manifold
ways shown how to repeat the original experiences
that gave the meaning to concrete words, and the
original comparisons and logical deductions by which
the ideas of relations and causal processes arose in
the mind and required abstract words to preserve and
communicate them.
It has been claimed that it would be better to have
first a basis of knowledge of things, and secondarily and
subsequently a knowledge of words. But it has been
replied to this, that the progress of the child in learning
to talk indicates his ascent out of mere impressions
into the possession of true knowledge. For he names
objects only after he has made some synthesis of his
impressions and has formed general ideas. He recognizes
the same object under different circumstances of
time and place, and also recognizes other objects belonging
to the same class by and with names. Hence
the use of the word indicates a higher degree of self-activity—the
stage of mere impressions without words
or signs being a comparatively passive state of mind.
What we mean by things first and words afterward,
is, therefore, not the apprehension of objects by passive
impressions so much as the active investigation
and experimenting which come after words are used,
and the higher forms of analysis are called into being
by that invention of reason known as language, which,
as before said, is a synthesis of thing and thought, of
outward sign and inward signification.
Rational investigation cannot precede the invention
of language any more than blacksmithing can precede
the invention of hammers, anvils, and pincers. For
language is the necessary tool of thought used in the
conduct of the analysis and synthesis of investigation.
Your Committee would sum up these considerations
by saying that language rightfully forms the centre of
instruction in the elementary school, but that progress
in methods of teaching is to be made, as hitherto,
chiefly by laying more stress on the internal side of
the word, its meaning; using better graded steps to
build up the chain of experience or the train of thought
that the word expresses.
The first three years’ work of the child is occupied
mainly with the mastery of the printed and written
forms of the words of his colloquial vocabulary; words
that he is already familiar enough with as sounds addressed
to the ear. He has to become familiar with
the new forms addressed to the eye, and it would be
an unwise method to require him to learn many new
words at the same time that he is learning to recognize
his old words in their new shape. But as soon as he
has acquired some facility in reading what is printed
in the colloquial style, he may go on to selections from
standard authors. The literary selections should be
graded, and are graded in almost all series of readers
used in our elementary schools, in such a way as to
bring those containing the fewest words outside of the
colloquial vocabulary into the lower books of the
series, and increasing the difficulties, step by step, as
the pupil grows in maturity. The selections are literary
works of art possessing the required organic unity
and a proper reflection of this unity in the details, as
good works of art must do. But they portray situations
of the soul, or scenes of life, or elaborated reflections,
of which the child can obtain some grasp through
his capacity to feel and think, although in scope and
compass they far surpass his range. They are
adapted, therefore, to lead him out of and beyond
himself, as spiritual guides.
Literary style employs, besides words common to
the colloquial vocabulary, words used in a semi-technical
sense expressive of fine shades of thought and
emotion. The literary work of art furnishes a happy
expression for some situation of the soul, or some train
of reflection hitherto unutterable in an adequate manner.
If the pupil learns this literary production, he finds
himself powerfully helped to understand both himself
and his fellow-men. The most practical knowledge of
all, it will be admitted, is a knowledge of human nature—a
knowledge that enables one to combine with his
fellow-men, and to share with them the physical and
spiritual wealth of the race. Of this high character as
humanizing or civilizing, are the favorite works of
literature found in the school readers, about one hundred
and fifty English and American writers being
drawn upon for the material. Such are Shakespeare’s
speeches of Brutus and Mark Antony, Hamlet’s and
Macbeth’s soliloquies, Milton’s L’Allegro and Il Penseroso,
Gray’s Elegy, Tennyson’s Charge of the Light
Brigade and Ode on the Death of the Duke of Wellington,
Byron’s Waterloo, Irving’s Rip Van Winkle,
Webster’s Reply to Hayne, The Trial of Knapp, and
Bunker Hill oration, Scott’s Lochinvar, Marmion, and
Roderick Dhu, Bryant’s Thanatopsis, Longfellow’s
Psalm of Life, Paul Revere, and the Bridge, O’Hara’s
Bivouac of the Dead, Campbell’s Hohenlinden, Collins’
How Sleep the Brave, Wolfe’s Burial of Sir John
Moore, and other fine prose and poetry from Addison,
Emerson, Franklin, The Bible, Hawthorne, Walter
Scott, Goldsmith, Wordsworth, Swift, Milton, Cooper,
Whittier, Lowell, and the rest. The reading and
study of fine selections in prose and verse furnish the
chief æsthetic training of the elementary school. But
this should be re-enforced by some study of photographic
or other reproductions of the world’s great
masterpieces of architecture, sculpture, and painting.
The frequent sight of these reproductions is good;
the attempt to copy or sketch them with the pencil is
better; best of all is an æsthetic lesson on their composition,
attempting to describe in words the idea of
the whole that gives the work its organic unity, and
the devices adopted by the artist to reflect this idea in
the details and re-enforce its strength. The æsthetic
taste of teacher and pupil can be cultivated by such
exercises, and once set on the road of development,
this taste may improve through life.
A third phase of language study in the elementary
school is formal grammar. The works of literary art
in the readers, re-enforced as they ought to be by supplementary
reading at home of the whole works from
which the selections for the school readers are made,
will educate the child in the use of a higher and better
English style. Technical grammar never can do this.
Only familiarity with fine English works will insure one
a good and correct style. But grammar is the science
of language, and as the first of the seven liberal arts it
has long held sway in school as the disciplinary study
par excellence. A survey of its educational value, subjective
and objective, usually produces the conviction
that it is to retain the first place in the future. Its
chief objective advantage is, that it shows the structure
of language, and the logical forms of subject, predicate,
and modifier, thus revealing the essential nature of
thought itself, the most important of all objects, because
it is self-object. On the subjective or psychological
side, grammar demonstrates its title to the
first place by its use as a discipline in subtle analysis,
in logical division and classification, in the art of questioning,
and in the mental accomplishment of making
exact definitions. Nor is this an empty, formal discipline,
for its subject-matter, language, is a product
of the reason of a people, not as individuals, but as a
social whole, and the vocabulary holds in its store of
words the generalized experience of that people, including
sensuous observation and reflection, feeling
and emotion, instinct and volition.
No formal labor on a great objective field is ever
lost wholly, since at the very least it has the merit of
familiarizing the pupil with the contents of some one
extensive province that borders on his life, and with
which he must come into correlation; but it is easy
for any special formal discipline, when continued too
long, to paralyze or arrest growth at that stage. The
overcultivation of the verbal memory tends to arrest
the growth of critical attention and reflection. Memory
of accessory details too, so much prized in the
school, is also cultivated often at the expense of an
insight into the organizing principle of the whole
and the casual nexus that binds the parts. So, too,
the study of quantity, if carried to excess, may warp
the mind into a habit of neglecting quality in its
observation and reflection. As there is no subsumption
in the quantitative judgment, but only dead
equality or inequality (A is equal to or greater or less
than B), there is a tendency to atrophy in the faculty
of concrete syllogistic reasoning on the part of the
person devoted exclusively to mathematics. For the
normal syllogism uses judgments wherein the subject
is subsumed under the predicate (This is a rose—the
individual rose is subsumed under the class rose;
Socrates is a man, etc.). Such reasoning concerns
individuals in two aspects, first as concrete wholes
and secondly as members of higher totalities or classes—species
and genera. Thus, too, grammar, rich as it
is in its contents, is only a formal discipline as respects
the scientific, historic, or literary contents of language,
and is indifferent to them. A training for four or five
years in parsing and grammatical analysis practiced on
literary works of art (Milton, Shakespeare, Tennyson,
Scott) is a training of the pupil into habits of indifference
toward and neglect of the genius displayed in the
literary work of art, and into habits of impertinent and
trifling attention to elements employed as material or
texture, and a corresponding neglect of the structural
form, which alone is the work of the artist. A parallel
to this would be the mason’s habit of noticing only the
brick and mortar, or the stone and cement, in his
inspection of the architecture, say of Sir Christopher
Wren. A child overtrained to analyze and classify
shades of color—examples of this one finds occasionally
in a primary school whose specialty is “objective
teaching”—might in later life visit an art
gallery and make an inventory of colors without getting
even a glimpse of a painting as a work of art. Such
overstudy and misuse of grammar as one finds in the
elementary school, it is feared, exists to some extent
in secondary schools and even in colleges, in the work
of mastering the classic authors.
Your Committee is unanimous in the conviction that
formal grammar should not be allowed to usurp the
place of a study of the literary work of art in accordance
with literary method. The child can be gradually
trained to see the technical “motives” of a poem or
prose work of art and to enjoy the æsthetic inventions
of the artist. The analysis of a work of art should
discover the idea that gives it organic unity; the collision
and the complication resulting; the solution and
dénouement. Of course these things must be reached
in the elementary school without even a mention of
their technical terms. The subject of the piece is
brought out; its reflection in the conditions of the
time and place to heighten interest by showing its
importance; its second and stronger reflection in the
several details of its conflict and struggle; its reflection
in the dénouement wherein its struggle ends in
victory or defeat and the ethical or rational interests
are vindicated,—and the results move outward, returning
to the environment again in ever-widening circles,—something
resembling this is to be found in every
work of art, and there are salient features which can
be briefly but profitably made subject of comment in
familiar language with even the youngest pupils.
There is an ethical and an æsthetical content to each
work of art. It is profitable to point out both of these
in the interest of the child’s growing insight into human
nature. The ethical should, however, be kept in subordination
to the æsthetical, but for the sake of the
supreme interests of the ethical itself. Otherwise the
study of a work of art degenerates into a goody goody
performance, and its effects on the child are to cause
a reaction against the moral. The child protects his
inner individuality against effacement through external
authority by taking an attitude of rebellion against
stories with an appended moral. Herein the superiority
of the æsthetical in literary art is to be seen. For
the ethical motive is concealed by the poet, and the
hero is painted with all his brittle individualism and
self-seeking. His passions and his selfishness, gilded
by fine traits of bravery and noble manners, interest
the youth, interest us all. The established social and
moral order seems to the ambitious hero to be an
obstacle to the unfolding of the charms of individuality.
The deed of violence gets done, and the Nemesis is
aroused. Now his deed comes back on the individual
doer, and our sympathy turns against him and we
rejoice in his fall. Thus the æsthetical unity contains
within it the ethical unity. The lesson of the great
poet or novelist is taken to heart, whereas the ethical
announcement by itself might have failed, especially
with the most self-active and aspiring of the pupils.
Aristotle pointed out in his Poetics this advantage of
the æsthetic unity, which Plato in his Republic seems
to have missed. Tragedy purges us of our passions,
to use Aristotle’s expression, because we identify our
own wrong inclinations with those of the hero, and by
sympathy we suffer with him and see our intended
deed returned upon us with tragic effect, and are
thereby cured.
Your Committee has dwelt upon the æsthetic side
of literature in this explicit manner because they believe
that the general tendency in elementary schools
is to neglect the literary art for the literary formalities
which concern the mechanical material rather than the
spiritual form. Those formal studies should not be
discontinued, but subordinated to the higher study of
literature.
Your Committee reserves the subject of language
lessons, composition writing, and what relates to the
child’s expression of ideas in writing, for consideration
under Part 3 of this Report, treating of programme.
Side by side with language study is the study of
mathematics in the schools, claiming the second place
in importance of all studies. It has been pointed out
that mathematics concerns the laws of time and space—their
structural form, so to speak—and hence that
it formulates the logical conditions of all matter both
in rest and in motion. Be this as it may, the high
position of mathematics as the science of all quantity
is universally acknowledged. The elementary branch
of mathematics is arithmetic, and this is studied in the
primary and grammar schools from six to eight years,
or even longer. The relation of arithmetic to the
whole field of mathematics has been stated (by Comte,
Howison, and others) to be that of the final step in a
process of calculation, in which results are stated
numerically. There are branches that develop or derive
quantitative functions: say geometry for spatial
forms, and mechanics for movement and rest and the
forces producing them. Other branches transform
these quantitative functions into such forms as may
be calculated in actual numbers; namely, algebra in
its common or lower form, and in its higher form as
the differential and integral calculus, and the calculus
of variations. Arithmetic evaluates or finds the
numerical value for the functions thus deduced and
transformed. The educational value of arithmetic is
thus indicated both as concerns its psychological side
and its objective practical uses in correlating man with
the world of nature. In this latter respect as furnishing
the key to the outer world in so far as the objects
of the latter are a matter of direct enumeration,—capable
of being counted,—it is the first great step in
the conquest of nature. It is the first tool of thought
that man invents in the work of emancipating himself
from thraldom to external forces. For by the command
of number he learns to divide and conquer. He
can proportion one force to another, and concentrate
against an obstacle precisely what is needed to overcome
it. Number also makes possible all the other
sciences of nature which depend on exact measurement
and exact record of phenomena as to the following
items: order of succession, date, duration, locality, environment,
extent of sphere of influence, number of
manifestations, number of cases of intermittence. All
these can be defined accurately only by means of number.
The educational value of a branch of study that
furnishes the indispensable first step toward all science
of nature is obvious. But psychologically its importance
further appears in this, that it begins with an important
step in analysis; namely, the detachment of
the idea of quantity from the concrete whole, which
includes quality as well as quantity. To count, one
drops the qualitative and considers only the quantitative
aspect. So long as the individual differences
(which are qualitative in so far as they distinguish one
object from another) are considered, the objects cannot
be counted together. When counted, the distinctions
are dropped out of sight as indifferent. As counting
is the fundamental operation of arithmetic, and all other
arithmetical operations are simply devices for speed by
using remembered countings instead of going through
the detailed work again each time, the hint is furnished
the teacher for the first lessons in arithmetic. This
hint has been generally followed out and the child set
at work at first upon the counting of objects so much
alike that the qualitative difference is not suggested to
him. He constructs gradually his tables of addition,
subtraction, and multiplication, and fixes them in his
memory. Then he takes his next higher step; namely,
the apprehension of the fraction. This is an expressed
ratio of two numbers, and therefore a much more complex
thought than he has met with in dealing with the
simple numbers. In thinking five-sixths, he first thinks
five and then six, and holding these two in mind thinks
the result of the first modified by the second. Here
are three steps instead of one, and the result is not a
simple number, but an inference resting on an unperformed
operation. This psychological analysis shows
the reason for the embarrassment of the child on his
entrance upon the study of fractions and the other
operations that imply ratio. The teacher finds all his
resources in the way of method drawn upon to invent
steps and half steps, to aid the pupil to make continuous
progress here. All these devices of method consist
in steps by which the pupil descends to the simple number
and returns to the complex. He turns one of the
terms into a qualitative unit, and thus is enabled to
use the other as a simple number. The pupil takes
the denominator, for example, and makes clear his
conception of one-sixth as his qualitative unit, then
five-sixths is as clear to him as five oxen. But he has
to repeat this return from ratio to simple numbers in
each of the elementary operations—addition, subtraction,
multiplication, and division, and in the reduction
of fractions—and finds the road long and tedious at
best. In the case of decimal fractions the psychological
process is more complex still; for the pupil has
given him one of the terms, the numerator, from which
he must mentally deduce the denominator from the
position of the decimal point. This doubles the work
of reading and recognizing the fractional number. But
it makes addition and subtraction of fractions nearly
as easy as that of simple numbers and assists also in
multiplication of fractions. But division of decimals
is a much more complex operation than that of common
fractions.
The want of a psychological analysis of these processes
has led many good teachers to attempt decimal
fractions with their pupils before taking up common
fractions. In the end they have been forced to make
introductory steps to aid the pupil, and in these steps
to introduce the theory of the common fraction. They
have by this refuted their own theory.
Besides (a) simple numbers and the four operations
with them, (b) fractions common and decimal,
there is (c) a third step in number; namely, the theory
of powers and roots. It is a further step in ratio;
namely, the relation of a simple number to itself as
power and root. The mass of material which fills the
arithmetic used in the elementary school consists of
two kinds of examples: first, those wherein there is a
direct application of simple numbers, fractions, and
powers; and secondly, the class of examples involving
operations in reaching numerical solutions through indirect
data and consequently involving more or less
transformation of functions. Of this character is most
of the so-called higher arithmetic and such problems
in the text-book used in the elementary schools as
have, not inappropriately, been called (by General
Francis A. Walker in his criticism on common-school
arithmetic) numerical “conundrums.” Their difficulty
is not found in the strictly arithmetical part of the
process of the solution (the third phase above described),
but rather in the transformation of the quantitative
function given into the function that can readily
be calculated numerically. The transformation of
functions belongs strictly to algebra. Teachers who
love arithmetic, and who have themselves success in
working out the so-called numerical conundrums, defend
with much earnestness the current practice which
uses so much time for arithmetic. They see in it a
valuable training for ingenuity and logical analysis, and
believe that the industry which discovers arithmetical
ways of transforming the functions given in such problems
into plain numerical operations of adding, subtracting,
multiplying, or dividing is well bestowed. On
the other hand, the critics of this practice contend that
there should be no merely formal drill in school for its
own sake, and that there should be, always, a substantial
content to be gained. They contend that the
work of the pupil in transforming quantitative functions
by arithmetical methods is wasted, because the pupil
needs a more adequate expression than number for
this purpose; that this has been discovered in algebra,
which enables him to perform with ease such quantitative
transformations as puzzle the pupil in arithmetic.
They hold, therefore, that arithmetic pure and simple
should be abridged and elementary algebra introduced
after the numerical operations in powers, fractions, and
simple numbers have been mastered, together with
their applications to the tables of weights and measures
and to percentage and interest. In the seventh
year of the elementary course there would be taught
equations of the first degree and the solution of arithmetical
problems that fall under proportion, or the
so-called “rule of three,” together with other problems
containing complicated conditions—those in
partnership, for example. In the eighth year quadratic
equations could be learned, and other problems
of higher arithmetic solved in a more satisfactory
manner than by numerical methods. It is contended
that this earlier introduction of algebra, with a sparing
use of letters for known quantities, would secure far
more mathematical progress than is obtained at present
on the part of all pupils, and that it would enable many
pupils to go on into secondary and higher education
who are now kept back on the plea of lack of preparation
in arithmetic, the real difficulty in many cases
being a lack of ability to solve algebraic problems by
an inferior method.
Your Committee would report that the practice of
teaching two lessons daily in arithmetic, one styled
“mental,” or “intellectual,” and the other “written”
arithmetic (because its exercises are written out with
pencil or pen), is still continued in many schools. By
this device the pupil is made to give twice as much
time to arithmetic as to any other branch. It is contended
by the opponents of this practice, with some
show of reason, that two lessons a day in the study of
quantity have a tendency to give the mind a bent or set
in the direction of thinking quantitatively, with a corresponding
neglect of the power to observe, and to reflect
upon, qualitative and causal aspects. For mathematics
does not take account of causes, but only of
equality and difference in magnitude. It is further
objected that the attempt to secure what is called thoroughness
in the branches taught in the elementary
schools is often carried too far; in fact, to such an extent
as to produce arrested development (a sort of
mental paralysis) in the mechanical and formal stages
of growth. The mind, in that case, loses its appetite
for higher methods and wider generalizations. The
law of apperception, we are told, proves that temporary
methods of solving problems should not be so
thoroughly mastered as to be used involuntarily, or as
a matter of unconscious habit, for the reason that a
higher and more adequate method of solution will then
be found more difficult to acquire. The more thoroughly
a method is learned, the more it becomes part
of the mind, and the greater the repugnance of the
mind toward a new method. For this reason,
parents and teachers discourage young children
from the practice of counting on the fingers, believing
that it will cause much trouble later to
root out this vicious habit and replace it by
purely mental processes. Teachers should be careful,
especially with precocious children, not to continue
too long in the use of a process that is becoming mechanical;
for it is already growing into a second
nature, and becoming a part of the unconscious apperceptive
process by which the mind reacts against the
environment, recognizes its presence, and explains it
to itself. The child that has been overtrained in arithmetic
reacts apperceptively against his environment
chiefly by noticing its numerical relations—he counts
and adds; his other apperceptive reactions being
feeble, he neglects qualities and causal relations.
Another child who has been drilled in recognizing
colors apperceives the shades of color to the neglect
of all else. A third child, excessively trained in form
studies by the constant use of geometric solids, and
much practice in looking for the fundamental geometric
forms lying at the basis of the multifarious objects
that exist in the world, will, as a matter of course,
apperceive geometric forms, ignoring the other phases
of objects.
It is, certainly, an advance on immediate sense-perception
to be able to separate or analyze the concrete,
whole impression, and consider the quantity apart by
itself. But if arrested mental growth takes place here,
the result is deplorable. That such arrest may be
caused by too exclusive training in recognizing numerical
relations is beyond a doubt.
Your Committee believes that, with the right methods,
and a wise use of time in preparing the arithmetic
lesson in and out of school, five years are sufficient for
the study of mere arithmetic—the five years beginning
with the second school year and ending with the
close of the sixth year; and that the seventh and
eighth years should be given to the algebraic method
of dealing with those problems that involve difficulties
in the transformation of quantitative indirect functions
into numerical or direct quantitative data.
Your Committee, however, does not wish to be
understood as recommending the transfer of algebra,
as it is understood and taught in most secondary
schools, to the seventh year, or even to the eighth year
of the elementary school. The algebra course in the
secondary school, as taught to the pupils in their fifteenth
year of age, very properly begins with severe
exercises, with a view to discipline the pupil in analyzing
complex literate expressions at sight, and to make
him able to recognize at once the factors that are contained
in such combinations of quantities. The proposed
seventh-grade algebra must use letters for the
unknown quantities and retain the numerical form of
the known quantities, using letters for these very
rarely, except to exhibit the general form of solution,
or what, if stated in words, becomes a so-called “rule”
in arithmetic. This species of algebra has the character
of an introduction or transitional step to algebra
proper. The latter should be taught thoroughly in
the secondary school. Formerly it was a common
practice to teach elementary algebra of this sort in the
preparatory schools, and reserve for the college a study
of algebra proper. But in this case there was often a
neglect of sufficient practice in factoring literate quantities,
and, as a consequence, the pupil suffered embarrassment
in his more advanced mathematics; for example,
in analytical geometry, the differential calculus,
and mechanics. The proposition of your Committee
is intended to remedy the two evils already named:
first, to aid the pupils in the elementary school to
solve, by a higher method, the more difficult problems
that now find place in advanced arithmetic; and secondly,
to prepare the pupil for a thorough course in
pure algebra in the secondary school.
Your Committee is of the opinion that the so-called
mental arithmetic should be made to alternate with
written arithmetic for two years, and that there should
not be two daily lessons in this subject.
The leading branch of the seven liberal arts was
grammar, being the first of the Trivium (grammar,
rhetoric, and logic). Arithmetic, however, led the second
division, the Quadrivium (arithmetic, geometry,
music, and astronomy). We have glanced at the reasons
for the place of grammar as leading the humane
studies, as well as for the place of arithmetic as leading
the nature studies. Following arithmetic, as the
second study in importance among the branches that
correlate man to nature, is geography. It is interesting
to note that the old quadrivium of the Middle Ages
included geography, under the title of geometry, as the
branch following arithmetic in the enumeration; the
subject-matter of their so-called “geometry” being
chiefly an abridgment of Pliny’s geography, to which
were added a few definitions of geometric forms,
something like the primary course in geometric solids
in our elementary schools. So long as there has been
elementary education there has been something of
geography included. The Greek education laid stress
on teaching the second book of Homer, containing the
Catalogue of the Ships and a brief mention of the
geography and history of all the Greek tribes that
took part in the Trojan War. History remains unseparated
from geography and geometry in the Middle
Ages. Geography has preserved this comprehensiveness
of meaning as a branch of the study in
the elementary schools down to the present day.
After arithmetic, which treats of the abstract or general
conditions of material existence, comes geography
with a practical study of man’s material habitat, and
its relations to him. It is not a simple science by
itself, like botany, or geology, or astronomy, but a collection
of sciences levied upon to describe the earth as
the dwelling-place of man and to explain something of
its more prominent features. About one-fourth of the
material relates strictly to the geography, about one-half
to the inhabitants, their manners, customs, institutions,
industries, productions, and the remaining one-fourth
to items drawn from the sciences of mineralogy,
meteorology, botany, zoölogy, and astronomy.
This predominance of the human feature in a study
ostensibly relating to physical nature, your Committee
considers necessary and entirely justifiable. The child
commences with what is nearest to his interests, and
proceeds gradually toward what is remote and to be
studied for its own sake. It is, therefore, a mistake to
suppose that the first phase of geography presented to
the child should be the process of continent formation.
He must begin with the natural difference of climate,
and lands, and waters, and obstacles that separate
peoples, and study the methods by which man strives
to equalize or overcome these differences by industry
and commerce, to unite all places and all people, and
make it possible for each to share in the productions
of all. The industrial and commercial idea is, therefore,
the first central idea in the study of geography in
the elementary schools. It leads directly to the natural
elements of difference in climate, soil, and productions,
and also to those in race, religion, political
status, and occupations of the inhabitants, with a view
to explain the grounds and reasons for this counter-process
of civilization which struggles to overcome the
differences. Next comes the deeper inquiry into the
process of continent formation, the physical struggle
between the process of upheaving or upbuilding of continents
and that of their obliteration by air and water;
the explanation of the mountains, valleys, and plains,
the islands, volcanic action, the winds, the rain-distribution.
But the study of cities, their location, the
purposes they serve as collecting, manufacturing, and
distributing centres, leads most directly to the immediate
purpose of geography in the elementary school.
From this beginning, and holding to it as a permanent
interest, the inquiry into causes and conditions proceeds
concentrically to the sources of the raw materials,
the methods of their production, and the climatic,
geologic, and other reasons that explain their location
and their growth.
In recent years, especially through the scientific
study of physical geography, the processes that go to
the formation of climate, soil, and general configuration
of land masses have been accurately determined,
and the methods of teaching so simplified that it is
possible to lead out from the central idea mentioned
to the physical explanations of the elements of geographical
difference quite early in the course of study.
Setting out from the idea of the use made of the earth
by civilization, the pupil in the fifth and sixth years of
his schooling (at the age of eleven or twelve) may extend
his inquiries quite profitably as far as the physical
explanations of land-shapes and climates. In the
seventh and eighth year of school much more may be
done in this direction. But it is believed that the distinctively
human interest connected with geography in
the first years of its study should not yield to the
purely scientific one of physical processes until the
pupil has taken up the study of history.
The educational value of geography, as it is and has
been in elementary schools, is obviously very great.
It makes possible something like accuracy in the picturing
of distant places and events, and removes a
large tract of mere superstition from the mind. In the
days of newspaper reading one’s stock of geographical
information is in constant requisition. A war on the
opposite side of the globe is followed with more interest
in this year than a war near our own borders before
the era of the telegraph. The general knowledge of
the locations and boundaries of nations, of their status
in civilization, and their natural advantages for contributing
to the world market, is of great use to the
citizen in forming correct ideas from his daily reading.
The educational value of geography is even more
apparent if we admit the claims of those who argue
that the present epoch is the beginning of an era in
which public opinion is organized into a ruling force
by the agency of periodicals and books. Certainly
neither the newspaper nor the book can influence an
illiterate people; they can do little to form opinions
where the readers have no knowledge of geography.
As to the psychological value of geography little
need be said. It exercises in manifold ways the memory
of forms and the imagination; it brings into exercise
the thinking power, in tracing back toward unity
the various series of causes. What educative value
there is in geology, meteorology, zoölogy, ethnology,
economics, history, and politics is to be found in the
more profound study of geography, and, to a proportionate
extent, in the study of its merest elements.
Your Committee is of the opinion that there has
been a vast improvement in the methods of instruction
in this branch in recent years, due, in large measure,
to the geographical societies of this and other countries.
At first there prevailed what might be named
sailor geography. The pupil was compelled to memorize
all the capes and headlands, bays and harbors,
mouths of rivers, islands, sounds, and straits around
the world. He enlivened this, to some extent, by brief
mention of the curiosities and oddities in the way of
cataracts, water-gaps, caves, strange animals, public
buildings, picturesque costumes, national exaggerations,
and such matters as would furnish good themes
for sailors’ yarns. Little or nothing was taught to
give unity to the isolated details furnished in endless
number. It was an improvement on this when the
method of memorizing capital cities and political
boundaries succeeded. With this came the era of
map drawing. The study of watersheds and commercial
routes, of industrial productions and centres of
manufacture and commerce, has been adopted in the
better class of schools. Instruction in geography is
growing better by the constant introduction of new
devices to make plain and intelligible the determining
influence of physical causes in producing the elements
of difference and the counter-process of industry and
commerce by which each difference is rendered of use
to the whole world, and each locality made a participator
in the productions of all.
The next study, ranked in order of value, for the
elementary school is history. But, as will be seen,
the value of history, both practically and psychologically,
is less in the beginning and greater at the end
than geography. For it relates to the institutions of
men, and especially to the political state and its evolution.
While biography narrates the career of the individual,
civil history records the careers of nations.
The nation has been compared to the individual by
persons interested in the educational value of history.
Man has two selves, they say, the individual self, and
the collective self of the organized state or nation.
The study of history is, then, the study of this larger,
corporate, social and civil self. The importance of
this idea is thus brought out more clearly in its educational
significance. For to learn this civil self is to
learn the substantial condition which makes possible
the existence of civilized man in all his other social
combinations—the family, the Church, and the
manifold associated activities of civil society. For
the state protects these combinations from destruction
by violence. It defines the limits of individual and
associated effort, within which each endeavor re-enforces
the endeavors of all, and it uses the strength
of the whole nation to prevent such actions as pass
beyond these safe limits and tend to collision with the
normal action of the other individuals and social units.
Hobbes called the state a Leviathan, to emphasize its
stupendous individuality and organized self-activity.
Without this, he said, man lives in a state of “constant
war, fear, poverty, filth, ignorance, and wretchedness;
within the state dwell peace, security, riches, science,
and happiness.” The state is the collective man who
“makes possible the rational development of the individual
man, like a mortal God, subduing his caprice
and passion and compelling obedience to law, developing
the ideas of justice, virtue, and religion, creating
property and ownership, nurture and education.” The
education of the child into a knowledge of this higher
self begins early within the nurture of the family.
The child sees a policeman or some town officer, some
public building, a court house or a jail; he sees or
hears of an act of violence, a case of robbery or murder
followed by arrest of the guilty. The omnipresent
higher self, which has been invisible hitherto,
now becomes visible to him in its symbols and still
more in its acts.
History in school, it is contended, should be the
special branch for education in the duties of citizenship.
There is ground for this claim. History gives
a sense of belonging to a higher social unity which
possesses the right of absolute control over person and
property in the interest of the safety of the whole.
This, of course, is the basis of citizenship; the individual
must feel this or see this solidarity of the
state and recognize its supreme authority. But history
shows the collisions of nations, and the victory of one
political ideal accompanied by the defeat of another.
History reveals an evolution of forms of government
that are better and better adapted to permit individual
freedom, and the participation of all citizens in the
administration of the government itself.
People who make their own government have a
special interest in the spectacle of political evolution
as exhibited in history. But it must be admitted that
this evolution has not been well presented by popular
historians. Take, for instance, the familiar example
of old-time pedagogy, wherein the Roman republic
was conceived as a freer government than the Roman
empire that followed it, by persons apparently misled
by the ideas of representative self-government associated
with the word republic. It was the beginning of
a new epoch when this illusion was dispelled, and the
college student became aware of the true Roman meaning
of republic, namely, the supremacy of an oligarchy
on the Tiber that ruled distant provinces in Spain,
Gaul, Asia Minor, Germany, and Africa, for its selfish
ends and with an ever-increasing arrogance. The
people at home in Rome, not having a share in the
campaigns on the borderland, did not appreciate the
qualities of the great leaders who, like Cæsar, subdued
the nations by forbearance, magnanimity, trust, and
the recognition of a sphere of freedom secured to the
conquered by the Roman civil laws, which were rigidly
enforced by the conqueror, as much as by the violence
of arms. The change from republic to empire meant
the final subordination of this tyrannical Roman
oligarchy, and the recognition of the rights of the
provinces to Roman freedom. This illustration shows
how easily a poor teaching of history may pervert its
good influence or purpose into a bad one. For the
Roman monarchy under the empire secured a degree
of freedom never before attained under the republic,
in spite of the election of such tyrants as Nero and
Caligula to the imperial purple. The civil service
went on as usual administering the affairs of distant
countries, educating them in Roman jurisprudence, and
cultivating a love for accumulating private property.
Those countries had before lived communistically after
the style of the tribe or at best of the village community.
Roman private property in land gave an
impulse to the development of free individuality such
as had always been impossible under the social stage
of development known as the village community.
To teach history properly is to dispel this shallow
illusion which flatters individualism, and to open the
eyes of the pupil to the true nature of freedom, namely,
the freedom through obedience to just laws enforced
by a strong government.
Your Committee has made this apparent digression
for the sake of a more explicit statement of its conviction
of the importance of teaching history in a different
spirit from that of abstract freedom, which
sometimes means anarchy, although they admit the
possibility of an opposite extreme, the danger of too
little stress on the progressive element in the growth
of nations, and its manifestation in new and better
political devices for representing all citizens without
weakening the central power.
That the history of one’s own nation is to be taught
in the elementary school seems fixed by common consent.
United States history includes first a sketch of
the epoch of discoveries and next of the epoch of colonization.
This, fortunately, suits the pedagogic requirements.
For the child loves to approach the stern
realities of a firmly established civilization through its
stages of growth by means of individual enterprise.
Here is the use of biography as introduction to history.
It treats of exceptional individuals whose lives
bring them in one way or another into national or
even world-historical relations. They throw light
on the nature and necessity of governments, and
are in turn illuminated by the light thrown back
on them by the institutions which they promote
or hinder. The era of semi-private adventure with
which American history begins is admirably adapted
for study by the pupil in the elementary stage of
his education. So, too, the next epoch, that of colonization.
The pioneer is a degree nearer to civilization
than is the explorer and discoverer. In the colonial
history the pupil interests himself in the enterprise
of aspiring individualities, in their conquest over obstacles
of climate and soil; their conflicts with the
aboriginal population; their choice of land for settlement;
the growth of their cities; above all, their several
attempts and final success in forming a constitution
securing local self-government. An epoch of
growing interrelation of the colonies succeeds, a tendency
to union on a large scale due to the effect of
European wars which involved England, France, and
other countries, and affected the relations of their colonies
in America. This epoch, too, abounds in heroic
personalities, like Wolfe, Montcalm, and Washington,
and perilous adventures, especially in the Indian warfare.
The fourth epoch is the Revolution, by which the
colonies through joint effort secured their independence
and afterward their union as a nation. The subject
grows rapidly more complex, and tasks severely
the powers of the pupils in the eighth year of the
elementary school. The formation of the Constitution,
and a brief study of the salient features of the
Constitution itself, conclude the study of the portion
of the history of the United States that is sufficiently
remote to be treated after the manner of an educational
classic. Everything up to this point stands out
in strong individual outlines, and is admirably fitted
for that elementary course of study. Beyond this
point, the War of 1812 and the War of the Rebellion,
together with the political events that led to it, are
matters of memory with the present generation of
parents and grandparents, and are, consequently, not
so well fitted for intensive study in school as the
already classic period of our history. But these later
and latest epochs may be, and will be, read at home
not only in the text-book on history used in the schools,
but also in the numerous sketches that appear in
newspapers, magazines, and in more pretentious
shapes. In the intensive study which should be undertaken
of the classic period of our history, the pupil
may be taught the method appropriate to historical investigation,
the many points of view from which each
event ought to be considered. He should learn to
discriminate between the theatrical show of events and
the solid influences that move underneath as ethical
causes. Although he is too immature for very far-reaching
reflections, he must be helped to see the
causal processes of history. Armed with this discipline
in historic methods, the pupil will do all of his
miscellaneous reading and thinking in this province
with more adequate intellectual reaction than was
possible before the intensive study carried on in school.
The study of the outlines of the Constitution, for
ten or fifteen weeks in the final year of the elementary
school, has been found of great educational value.
Properly taught, it fixes the idea of the essential three-foldness
of the constitution of a free government and
the necessary independence of each constituent power,
whether legislative, judicial, or executive. This and
some idea of the manner and mode of filling the official
places in these three departments, and of the character
of the duties with which each department is charged,
lay foundations for an intelligent citizenship.
Besides this intensive study of the history of the
United States in the seventh and eighth years, your
Committee would recommend oral lessons on the
salient points of general history, taking a full hour of
sixty minutes weekly—and preferably all at one time—for
the sake of the more systematic treatment of the
subject of the lesson and the deeper impression made
on the mind of the pupil.
Your Committee has reviewed the staple branches
of the elementary course of study in the light of their
educational scope and significance. Grammar, literature,
arithmetic, geography, and history are the five
branches upon which the disciplinary work of the elementary
school is concentrated. Inasmuch as reading
is the first of the scholastic arts, it is interesting to
note that the whole elementary course may be described
as an extension of the process of learning the
art of reading. First comes the mastering of the colloquial
vocabulary in printed and script forms. Next
come five incursions into the special vocabularies required
(a) in literature to express the fine shades of
emotion and the more subtle distinctions of thought,
(b) the technique of arithmetic, (c) of geography, (d)
of grammar, (e) of history.
In the serious work of mastering these several technical
vocabularies the pupil is assigned daily tasks that
he must prepare by independent study. The class
exercise or recitation is taken up with examining and
criticising the pupil’s oral statements of what he has
learned, especial care being taken to secure the pupil’s
explanation of it in his own words. This requires
paraphrases and definitions of the new words and
phrases used in technical and literary senses, with a
view to insure the addition to the mind of the new
ideas corresponding to the new words. The misunderstandings
are corrected and the pupil set on the way
to use more critical alertness in the preparation of his
succeeding lessons. The pupil learns as much by the
recitations of his fellow-pupils as he learns from the
teacher, but not the same things. He sees in the imperfect
statements of his classmates that they apprehended
the lesson with different presuppositions and
consequently have seen some phases of the subject
that escaped his observation, while they in turn have
missed points which he had noticed quite readily.
These different points of view become more or less
his own, and he may be said to grow by adding to
his own mind the minds of others.
It is clear that there are other branches of instruction
that may lay claim to a place in the course of
study in the elementary school; for example, the various
branches of natural science, vocal music, manual
training, physical culture, drawing, etc.
Here the question of another method of instruction
is suggested. There are lessons that require previous
preparation by the pupil himself—there are
also lessons that may be taken up without such preparation
and conducted by the teacher, who leads the
exercise and furnishes a large part of the information
to be learned, enlisting the aid of members of the
class for the purpose of bringing home the new material
to their actual experience. Besides these, there
are mechanical exercises for purposes of training, such
as drawing, penmanship, and calisthenics.
In the first place, there is industrial and æsthetic
drawing, which should have a place in all elementary
school work. By it is secured the training of the hand
and eye. Then, too, drawing helps in all the other
branches that require illustration. Moreover, if used
in the study of the great works of art in the way hereinbefore
mentioned, it helps to cultivate the taste and
prepares the future workman for a more useful and
lucrative career, inasmuch as superior taste commands
higher wages in the finishing of all goods.
Natural science claims a place in the elementary
school not so much as a disciplinary study side by
side with grammar, arithmetic, and history, as a training
in habits of observation and in the use of the technique
by which such sciences are expounded. With
a knowledge of the technical terms and some training
in the methods of original investigation employed in
the sciences, the pupil broadens his views of the world
and greatly increases his capacity to acquire new
knowledge. For the pupil who is unacquainted with
the technique of science has to pass without mental
profit the numerous scientific allusions and items of
information which more and more abound in all our
literature, whether of an ephemeral or a permanent
character. In an age whose proudest boast is the
progress of science in all domains, there should be in
the elementary school, from the first, a course in the
elements of the sciences. And this is quite possible;
for each science possesses some phases that lie very
near to the child’s life. These familiar topics furnish
the doors through which the child enters the various
special departments. Science, it is claimed, is nothing
if not systematic. Indeed, science itself may be
defined as the interpretation of each fact through all
other facts of a kindred nature. Admitting that this
is so, it is no less true that pedagogic method begins
with the fragmentary knowledge possessed by the
pupil and proceeds to organize it and build it out
systematically in all directions. Hence any science
may be taken up best on the side nearest the experience
of the pupil and the investigation continued
until the other parts are reached. Thus the pedagogical
order is not always the logical or scientific
order. In this respect it agrees with the order of discovery,
which is usually something quite different from
the logical order; for that is the last thing discovered.
The natural sciences have two general divisions: one
relating to inorganic matter, as physics and chemistry,
and one relating to organic, as botany and zoölogy.
There should be a spiral course in natural science,
commencing each branch with the most interesting
phases to the child. A first course should be given in
botany, zoölogy, and physics, so as to treat of the
structure and uses of familiar plants and animals, and
the explanation of physical phenomena as seen in the
child’s playthings, domestic machines, etc. A second
course, covering the same subjects, but laying more
stress on classification and functions, will build on to
the knowledge already acquired from the former
lessons and from his recently acquired experience. A
third course of weekly lessons, conducted by the
teacher as before in a conversational style, with experiments
and with a comparison of the facts of
observation already in the possession of the children,
will go far to helping them to an acquisition of the
results of natural science. Those of the children
specially gifted for observation in some one or more
departments of nature will be stimulated and encouraged
to make the most of their gifts.
In the opinion of your committee, there should be
set apart a full hour each week for drawing and the
same amount for oral lessons in natural science.
The oral lessons in history have already been mentioned.
The spiral course, found useful in natural
science because of the rapid change in capacity of
comprehension by the pupil from his sixth to his fourteenth
year, will also be best for the history course,
which will begin with biographical adventures of interest
to the child, and possessing an important historical
bearing. These will proceed from the native
land first to England, the parent country, and then to
the classic civilizations (Greece and Rome being, so to
speak, the grandparent countries of the American
colonies). These successive courses of oral lessons
adapted respectively to the child’s capacity will do
much to make the child well informed on this topic.
Oral lessons should never be mere lectures, but more
like Socratic dialogues, building up a systematic
knowledge partly from what is already known, partly
by new investigations, and partly by comparison of
authorities.
The best argument in favor of weekly oral lessons in
natural science and general history is the actual experiences
of teachers who have for some time used the plan.
It has been found that the lessons in botany, zoölogy,
and physics give the pupil much aid in learning his
geography, and other lessons relating to nature, while
the history lessons assist very much his comprehension
of literature, and add interest to geography.
It is understood by your Committee that the lessons
in physiology and hygiene (with special reference to
the effects of stimulants and narcotics) required by
State laws should be included in this oral course in
natural science. Manual training, so far as the theory
and use of the tools for working in wood and iron are
concerned, has just claims on the elementary school
for a reason similar to that which admits natural science.
From science have proceeded useful inventions
for the aid of all manner of manufactures and transportation.
The child of to-day lives in a world where
machinery is constantly at his hand. A course of
training in wood- and iron-work, together with experimental
knowledge of physics or natural philosophy,
makes it easy for him to learn the management of such
machines. Sewing and cookery have not the same,
but stronger claims for a place in school. One-half
day in each week for one-half a year each in the seventh
and eighth grades will suffice for manual training,
the sewing and cookery being studied by the girls, and
the wood- and iron-work by the boys. It should be
mentioned, however, that the advocates of manual
training in iron- and wood-work recommend these
branches for secondary schools, because of the greater
maturity of body, and the less likelihood to acquire
wrong habits of manipulation, in the third period of
four years of school.
Vocal music has long since obtained a well-established
place in all elementary schools. The labors of
two generations of special teachers have reduced the
steps of instruction to such simplicity that whole classes
may make as regular progress in reading music as in
reading literature.
In regard to physical culture your Committee is
agreed that there should be some form of special daily
exercises amounting in the aggregate to one hour each
week, the same to include the main features of calisthenics,
and German, Swedish, or American systems
of physical training, but not to be regarded as a substitute
for the old-fashioned recess, established to permit
the free exercise of the pupils in the open air.
Systematic physical training has for its object rather
the will training than recreation, and this must not be
forgotten. To go from a hard lesson to a series of calisthenic
exercises is to go from one kind of will training
to another. Exhaustion of the will should be followed
by the caprice and wild freedom of the recess. But
systematic physical exercise has its sufficient reason in
its aid to a graceful use of the limbs, its development
of muscles that are left unused or rudimentary unless
called forth by special training, and for the help it
gives to the teacher in the way of school discipline.
Your Committee would mention in this connection
instruction in morals and manners, which ought to be
given in a brief series of lessons each year with a view
to build up in the mind a theory of the conventionalities
of polite and pure-minded society. If these lessons
are made too long or too numerous, they are apt to
become offensive to the child’s mind. It is of course
understood by your Committee that the substantial
moral training of the school is performed by the discipline
rather than by the instruction in ethical theory.
The child is trained to be regular and punctual, and to
restrain his desire to talk and whisper—in these things
gaining self-control day by day. The essence of moral
behavior is self-control. The school teaches good
behavior. The intercourse of a pupil with his fellows
without evil words or violent actions is insisted on and
secured. The higher moral qualities of truth-telling
and sincerity are taught in every class exercise that
lays stress on accuracy of statement.
Your Committee has already discussed the importance
of teaching something of algebraic processes in
the seventh and eighth grades with the view to obtaining
better methods of solving problems in advanced
arithmetic; a majority of your Committee are
of the opinion that formal English grammar should be
discontinued in the eighth year, and the study of
some foreign language, preferably that of Latin, substituted.
The educational effect on an English-speaking
pupil of taking up a language which, like Latin,
uses inflections instead of prepositions, and which
further differs from English by the order in which its
words are arranged in the sentence, is quite marked,
and a year of Latin places a pupil by a wide interval
out of the range of the pupil who has continued English
grammar without taking up Latin. But the effect
of the year’s study of Latin increases the youth’s
power of apperception in very many directions by
reason of the fact that so much of the English vocabulary
used in technical vocabularies, like those of
geography, grammar, history, and literature, is from a
Latin source, and besides there are so many traces in
the form and substance of human learning of the hundreds
of years when Latin was the only tongue in
which observation and reflection could be expressed.
Your Committee refers to the programme given
later in this report for the details of co-ordinating
these several branches already recommended.
In recommending the introduction of algebraic processes
in the seventh and eighth years—as well as in
the recommendation just now made to introduce Latin
in the eighth year of the elementary course—your
Committee has come face to face with the question
of the intrinsic difference between elementary and
secondary studies.
Custom has placed algebra, geometry, the history
of English literature, and Latin in the rank of secondary
studies; also general history, physical geography,
and the elements of physics and chemistry. In a
secondary course of four years trigonometry may be
added to the mathematics; some of the sciences
whose elements are used in physical geography may
be taken up separately in special treatises, as geology,
botany, and physiology. There may be also a study
of whole works of English authors, as Shakespeare,
Milton, and Scott. Greek is also begun in the second
or third year of the secondary course. This is the
custom in most public high schools. But in private
secondary schools Latin is begun earlier, and so, too,
Greek, algebra, and geometry. Sometimes geometry
is taken up before algebra, as is the custom in German
schools. These arrangements are based partly on
tradition, partly on the requirements of higher institutions
for admission, and partly on the ground that
the intrinsic difficulties in these studies have fixed
their places in the course of study. Of those who
claim that there is an intrinsic reason for the selection
and order of these studies, some base their conclusions
on experience in conducting pupils through them,
others on psychological grounds. The latter contend,
for example, that algebra deals with general forms of
calculation, while arithmetic deals with the particular
instances of calculation. Whatever deals with the
particular instance is relatively elementary, whatever
deals with the general form is relatively secondary.
In the expression a + b = c algebra indicates the
form of all addition. This arithmetic cannot do, except
in the form of a verbal rule describing the steps
of the operation: its examples are all special instances
falling under the general form given in algebra. If,
therefore, arithmetic is an elementary branch, algebra
is relatively to it a secondary branch. So, too, geometry,
though not directly based on arithmetic, has to
presuppose an acquaintance with it when it reduces
spatial functions into numerical forms, as, for example,
in the measurement of surfaces and solids, and in
ascertaining the ratio of the circumference to the
radius, and of the hypothenuse to the two other sides
of the right-angled triangle. Geometry, moreover,
deals with necessary relations; its demonstrations
reach universal and necessary conclusions, holding
good not merely in such material shapes as we have
met with in actual experience, but with all examples
possible, past, present, or future. Such knowledge
transcending experience is intrinsically secondary as
compared with the first acquaintance with geometric
shapes in concrete examples.
In the case of geometry it is claimed by some that
what is called “inventional geometry” may be properly
introduced into the elementary grades. By this some
mean the practice with blocks in the shape of geometric
solids, and the construction of different figures
from the same; others mean the rediscovery by the
pupil for himself of the necessary relations demonstrated
by Euclid. The former—exercises of construction
with blocks—are well enough in the kindergarten,
where they assist in learning number, as well
as in the analysis of material forms. But its educational
value is small for pupils advanced into the use
of books. The original discovery of Euclid’s demonstrations,
on the other hand, belongs more properly to
higher education than to elementary. In the geometrical
text-books, recently introduced into secondary
schools, there is so much of original demonstration required
that the teacher is greatly embarrassed on
account of the differences in native capacity for mathematics
that develop among the pupils of the same class
in solving the problems of invention. A few gifted
pupils delight in the inventions, and develop rapidly
in power, while the majority of the class use too much
time over them, and thus rob the other branches of the
course of study, or else fall into the bad practice of
getting help from others in the preparation of their
lessons. A few in every class fall hopelessly behind
and are discouraged. The result is an attempt on the
part of the teacher to correct the evil by requiring a
more thorough training in the mathematical studies
preceding, and the consequent delay of secondary
pupils in the lower grades of the course in order to
bring up their “inventional geometry.” Many, discouraged,
fail to go on; many more fail to reach higher
studies because unable to get over the barrier unnecessarily
placed before them by teachers who desire that
no pupils except natural geometricians shall enter into
higher studies.
Physical geography in its scientific form is very
properly made a part of the secondary course of study.
The pupil in his ninth year of work can profitably acquire
the scientific technique of geology, botany,
zoölogy, meteorology, and ethnology, and in the following
years take up those sciences separately and push
them further, using the method of actual investigation.
The subject-matter of physical geography is of very
high interest to the pupil who has studied geography
in the elementary grades after an approved method.
It takes up the proximate grounds and causes for the
elements of difference on the earth’s surface, already
become familiar to him through his elementary studies,
and pushes them back into deeper, simpler, and more
satisfactory principles. This study performs the work
also of correlating the sciences that relate to organic
nature by showing their respective uses to man. From
the glimpses which the pupil gets of mineralogy,
geology, botany, zoölogy, ethnology, and meteorology
in their necessary connection as geographic conditions
he sees the scope and grand significance of those separate
inquiries. A thirst is aroused in him to pursue
his researches into their domains. He sees, too, the
borderlands in which new discoveries may be made by
the enterprising explorer.
Physics, including what was called until recently
“natural philosophy,” after Newton’s Principia (Philosophiæ
naturalis principia mathematica), implies more
knowledge of mathematics for its thorough discussion
than the secondary pupil is likely to possess. In fact,
the study of this branch in college thirty years ago was
crippled by the same cause. It should follow the
completion of analytical geometry. Notwithstanding
this, a very profitable study of this subject may be
made in the second year of the high school or preparatory
school, although the formulas can then be
understood in so far as they imply elementary algebra
only. The pupil does not get the most exact notions
of the quantitative laws that rule matter in its states of
motion and equilibrium, but he does see the action of
forces as qualitative elements of phenomena, and
understand quite well the mechanical inventions by
which men subdue them for his use and safety. Even
in the elementary grades the pupil can seize very many
of these qualitative aspects and learn the explanation
of the mechanical phenomena of nature, and other
applications of the same principles in invention, as,
for example, gravitation in falling bodies: its measurement
by the scales; the part it plays in the pump, the
barometer, the pendulum; cohesion in mud, clay, glue,
paste, mortar, cement, etc.; capillary attraction in
lamp-wicks, sponges, sugar, the sap in plants; the applications
of lifting by the lever, pulley, inclined plane,
wedge, and screw; heat in the sun, combustion, friction,
steam, thermometer, conduction, clothing, cooking,
etc.; the phenomena of light, electricity, magnetism,
and the explanation of such mechanical devices
as spectacles, telescopes, microscopes, prisms, photographic
cameras, electric tension in bodies, lightning,
mariner’s compass, horseshoe magnet, the telegraph,
the dynamo. This partially qualitative study of forces
and mechanical inventions has the educational effect
of enlightening the pupil, and emancipating him from
the network of superstition that surrounds him in the
child world, partly of necessity and partly by reason of
the illiterate adults that he sometimes meets with in
the persons of nurses, servants, and tradespeople,
whose occupations have more attraction for him than
those of cultured people. The fairy world is a world
of magic, of immediate interventions of supernatural
spiritual beings, and while this is proper enough for
the child up to the time of the school, and in a lessening
degree for some time after, it is only negative and
harmful in adult manhood and womanhood. It produces
arrested development of powers of observation
and reflection in reference to phenomena, and stops
the growth of the soul at the infantine stage of development.
Neither is this infantine stage of wonder and
magic more religious than the stage of disillusion
through the study of mathematics and physics. It is
the arrest of religious development, also, at the stage of
fetichism. The highest religion, that of pure Christianity,
sees in the world infinite mediations, all for the purpose
of developing independent individuality; the perfection
of human souls not only in one kind of piety,
namely, that of the heart, but in the piety of the intellect
that beholds truth, the piety of the will that does
good deeds wisely, the piety of the senses that sees the
beautiful and realizes it in works of art. This is the
Christian idea of divine Providence as contrasted with
the heathen idea of that Providence, and the study of
natural philosophy is an essential educational requisite
in its attainment, although a negative means. Of
course there is danger of replacing the spiritual idea of
the divine by the dynamical or mechanical idea, and
thus arresting the mind at the stage of pantheism instead
of fetichism. But this danger can be avoided
by further education through secondary into higher
education, whose entire spirit and method are comparative
and philosophical in the best sense of the term.
For higher education seems to have as its province the
correlation of the several branches of human learning
in the unity of the spiritual view furnished by religion
to our civilization. By it one learns to see each branch,
each science or art or discipline, in the light of all the
others. This higher or comparative view is essential
to any completeness of education, for it alone prevents
the one-sidedness of hobbies, or “fads,” as they are
called in the slang of the day. It prevents also the
bad effects that flow from the influence of what are
termed “self-educated men,” who for the most part
carry up with them elementary methods of study, or at
best, secondary methods, which accentuate the facts
and relations of natural and spiritual phenomena, but
do not deal with their higher correlations. The comparative
method cannot, in fact, be well introduced
until the student is somewhat advanced, and has already
completed his elementary course of study dealing with
the immediate aspects of the world, and his secondary
course dealing with the separate formal and dynamical
aspects that lie next in order behind the facts of first
observation. Higher education in a measure unifies
these separate formal and dynamic aspects, corrects
their one-sidedness, and prevents the danger of what
is so often noted in the self-educated men who unduly
exaggerate some one of the subordinate aspects of the
world and make it a sort of first principle.
Here your Committee finds in its way the question of
the use of the full scientific method in the teaching of
science in the elementary school. The true method has
been called the method of investigation, but that method
as used by the child is only a sad caricature of the method
used by the mature scientific man, who has long since
passed through the fragmentary observation and reflection
that prevail in the period of childhood, as well as
the tendencies to exaggeration of the importance of
one or another branch of knowledge at the expense of
the higher unity that correlates all; an exaggeration
that manifests itself in the possession and use of a
hobby. The ideal scientific man has freed himself
from obstacles of this kind, whether psychological or
objective. What astronomical observers call the subjective
coefficient must be ascertained and eliminated
from the record that shows beginnings, endings, and
rates. There is a possibility of perfect specialization
in a scientific observer only after the elementary and
secondary attitudes of mind have been outgrown. An
attempt to force the child into the full scientific method
by specialization would cause an arrest of his development
in the other branches of human learning outside
of his specialty. He could not properly inventory the
data of his own special sphere unless he knew how
to recognize the defining limits or boundaries that separate
his province from its neighbors. The early days
of science abounded in examples of confusion of provinces
in the inventories of their data. It is difficult,
even now, to decide where physics and chemistry leave
off, and biology begins.
Your Committee does not attempt to state the exact
proportion in which the child, at his various degrees
of advancement, may be able to dispense with the guiding
influence of teacher and text-book in his investigations,
but they protest strongly against the illusion
under which certain zealous advocates of the early
introduction of scientific method seem to labor. They
ignore in their zeal the deduction that is to be made
for the guiding hand of the teacher, who silently furnishes
to the child the experience that he lacks, and
quietly directs his special attention to this or to that
phase, and prevents him from hasty or false generalization
as well as from undue exaggeration of single facts
or principles. Here the teacher adds the needed
scientific outlook which the child lacks, but which the
mature scientist possesses for himself.
It is contended by some that the scientific frame of
mind is adapted only to science, but not to art, literature,
and religion, which have something essential that
science does not reach; not because of the incompleteness
of the sciences themselves, but because of the
attitude of the mind assumed in the observation of
nature. In analytic investigation there is isolation of
parts one from another, with a view to find the sources
of the influences which produce the phenomena shown
in the object. The mind brings everything to the test
of this idea. Every phenomenon that exists comes
from beyond itself, and analysis will be able to trace
the source.
Now, this frame of mind, which insists on a foreign
origin of all that goes to constitute an object, debars
itself in advance from the province of religion, art, and
literature as well as of philosophy. For self-determination,
personal activity, is the first principle assumed by
religion, and it is tacitly assumed by art and literature,
Classic and Christian. The very definition of philosophy
implies this, for it is the attempt to explain the
world by the assumption of a first principle, and to
show that all classes of objects imply that principle as
ultimate presupposition. According to this view it is
important not to attempt to hasten the use of a strictly
scientific method on the part of the child. In his first
years he is acquiring the results of civilization rather
as an outfit of habits, usages, and traditions than as a
scientific discovery. He cannot be expected to stand
over against the culture of his time, and challenge one
and all of its conventionalities to justify themselves
before his reason. His reason is too weak. He is
rather in the imitation stage of mind than in that of criticism.
He will not reach the comparative or critical
method until the era of higher education.
However this may be, it is clear that the educational
value of science and its method is a very important
question, and that on it depends the settlement of the
question where specialization may begin. To commence
the use of the real scientific method would
imply a radical change also in methods from the beginning.
This may be realized by considering the hold
which even the kindergarten retains upon symbolism
and upon art and literature. But in the opinion of a
majority of your Committee natural science itself
should be approached, in the earliest years of the elementary
school, rather in the form of results with
glimpses into the methods by which these results were
reached. In the last two years (the seventh and eighth)
there may be some strictness of scientific form and an
exhibition of the method of discovery. The pupil, too,
may to some extent put this method in practice himself.
In the secondary school there should be some
laboratory work. But the pupil cannot be expected to
acquire for himself fully the scientific method of dealing
with nature until the second part of higher education—its
post-graduate work. Nevertheless this good
should be kept in view from the first year of the elementary
school, and there should be a gradual and
continual approach to it.
In the study of general history appears another
branch of the secondary course. History of the
native land is assumed to be an elementary study.
History of the world is certainly a step further away
from the experience of the child. It is held by some
teachers to be in accordance with proper method to
begin with the foreign relations of one’s native land
and to work outward to the world-history. The European
relations involved in the discovery and colonization
of America furnish the only explanation to a multitude
of questions that the pupil has started in the
elementary school. He should move outward from
what he has already learned, by the study of a new
concentric circle of grounds and reasons, according to
this view. This, however, is not the usual course
taken. On beginning secondary history the pupil is
set back face to face with the period of tradition, just
when historic traces first make their appearance.
He is, by this arrangement, broken off from the
part of history that he has become acquainted with,
and made to grapple with that period which has no relation
to his previous investigations. It is to be said,
however, that general history lays stress on the religious
thread of connection, though less now than formerly.
The world history is a conception of the great
Christian thinker, St. Augustine, who held that the
world and its history is a sort of antiphonic hymn, in
which God reads his counsels, and the earth and man
read the responses. He induced Orosius, his pupil,
to sketch a general history in the spirit of his view.
It was natural that the Old Testament histories, and
especially the chapters of Genesis, should furnish the
most striking part of its contents. This general history
was connected with religion, and brought closer
to the experience of the individual than the history of
his own people. To commence history with the Garden
of Eden, the Fall of Man, and the Noachian
Deluge was to begin with what was most familiar to all
minds, and most instructive, because it concerned
most nearly the conduct of life. Thus religion furnished
the apperceptive material by which the early
portions of history were recognized, classified, and
made a part of experience.
Now that studies in archæology, especially those in
the Nile and Euphrates valleys, are changing the chronologies
and the records of early times and adding
new records of the past, bringing to light national
movements and collisions of peoples, together with
data by which to determine the status of their industrial
civilization, their religious ideas, and the form of
their literature and art, the concentric arrangement of
all this material around the history of the chosen people
as a nucleus is no longer possible. The question
has arisen, therefore, whether general history should
not be rearranged for the secondary school, and made
to connect with American history for apperceptive
material rather than with Old Testament history. To
this it has been replied with force that the idea of a
world history, as St. Augustine conceived it, is the
noblest educative ideal ever connected with the subject
of history. Future versions of general history will not
desert this standpoint, we are told, even if they take as
their basis that of ethnology and anthropology, for
these, too, will exhibit a plan in human history—an
educative principle that leads nations toward freedom
and science, because the Creator of nature has made
it, in its fundamental constitution, an evolution or progressive
development of individuality. Thus the idea
of divine Providence is retained, though made more
comprehensive by bringing the whole content of natural
laws within his will as his method of work.
These considerations, we are reminded by the
partisans of humanity studies, point back to the educative
value of history as corrective of the one-sidedness
of the method of science. Science seeks explanation
in the mechanical conditions of, and impulses
received from, the environment, while history keeps its
gaze fixed on human purposes, and studies the genesis
of national actions through the previous stages of feelings,
convictions, and conscious ideas. In history the
pupil has for his object self-activity, reaction against
environment, instead of mechanism, or activity through
another.
The history of English literature is another study of
the secondary school. It is very properly placed
beyond the elementary school, for as taught it consists
largely of the biographies of men of letters. The
pupils who have not yet learned any great work of
literature should not be pestered with literary
biography, for at that stage the greatness of the men
of letters cannot be seen. Plutarch makes great
biographies because he shows heroic struggles and
great deeds. The heroism of artists and poets consists
in sacrificing all for the sake of their creations.
The majority of them come off sadly at the hands of
the biographer, for the reason that the very sides of
their lives are described which they had slighted and
neglected for the sake of the Muses. The prophets of
Israel did not live in city palaces, but in caves; they
did not wear fine raiment, nor feed sumptuously, nor
conform to the codes of polite society. They were no
courtiers when they approached the king. They
neglected all the other institutions—family, productive
industry, and state—for the sake of one, the
Church, and even that not the established ceremonial
of the people, but a higher and more direct communing
with Jehovah. So with artists and men of letters, it is
more or less the case, that the institutional side of
their lives is neglected, or unsymmetrical, or if this is
not the case, it will be found prosaic and uneventful,
throwing no light on their matchless productions.
For these reasons, should not the present use of
literary biography as it exists in secondary schools,
and is gradually making its way into elementary
schools, be discouraged, and the time now given to it
devoted to the study of literary works of art? It will
be admitted that the exposure of the foibles of artists
has an immoral tendency on youth: for example, one
affects to be a poet, and justifies laxity and self-indulgence
through the example of Byron. Those who
support this view hold that we should not dignify the
immoral and defective side of life by making it a
branch of study in school.
Your Committee would mention another sense in
which the expression correlation of studies is sometimes
used. It is held by advocates of an artificial
centre of the course of study. They use, for example,
De Foe’s Robinson Crusoe for a reading exercise, and
connect with it the lessons in geography and arithmetic.
It has been pointed out by critics of this
method that there is always danger of covering up the
literary features of the reading matter under accessories
of mathematics and natural science. If the
material for other branches is to be sought for in connection
with the literary exercise, it will distract the
attention from the poetic unity. On the other hand,
arithmetic and geography cannot be unfolded freely
and comprehensively if they are to wait on the
opportunities afforded in a poem or novel for their
development. A correlation of this kind, instead of
being a deeper correlation, such as is found in all
parts of human learning by the studies of the college
and university, is rather a shallow and uninteresting
kind of correlation, that reminds one of the system of
mnemonics, or artificial memory, which neglects the
association of facts and events with their causes and
the history of their evolution, and looks for unessential
quips, puns, or accidental suggestions with a view
to strengthening the memory. The effect of this is to
weaken the power of systematic thinking which deals
with essential relations, and substitute for it a chaotic
memory that ties together things through false and
seeming relations, not of the things and events, but of
the words that denote them.
The correlation of geography and arithmetic and
history in and through the unity of a work of fiction
is at best an artificial correlation, which will stand in
the way of the true objective correlation. It is a
temporary scaffolding made for school purposes. Instruction
should avoid such temporary structures as
much as possible, and when used they should be only
used for the day, and not for the year, because of the
danger of building up an apperceptive centre in the
child’s mind that will not harmonize with the true
apperceptive centre required by the civilization. The
story of Robinson Crusoe has intense interest to the
child as a lesson in sociology, showing him the helplessness
of isolated man and the re-enforcement that
comes to him through society. It shows the importance
of the division of labor. All children should
read this book in the later years of the elementary
course, and a few profitable discussions may be had
in school regarding its significance. But De Foe
painted in it only the side of adventure that he found
in his countrymen in his epoch, England after the
defeat of the Armada having taken up a career of
conquest on the seas, ending by colonization and a
world commerce. The liking for adventure continues
to this day among all Anglo-Saxon peoples, and beyond
other nationalities there is in English-speaking
populations a delight in building up civilization from
the very foundation. This is only, however, one
phase of the Anglo-Saxon mind. Consequently the
history of Crusoe is not a proper centre for a year’s
study in school. It omits cities, governments, the
world commerce, the international process, the Church,
the newspaper and book from view, and they are not
even reflected in it.
Your Committee would call attention in this connection
to the importance of the pedagogical principle
of analysis and isolation as preceding synthesis
and correlation. There should be rigid isolation of
the elements of each branch for the purpose of getting
a clear conception of what is individual and peculiar
in a special province of learning. Otherwise
one will not gain from each its special contribution
to the whole. That there is some danger from the
kind of correlation that essays to teach all branches
in each will be apparent from this point of view.
In order to find a place in the elementary school
for the several branches recommended in this report,
it will be necessary to use economically the time
allotted for the school term, which is about two hundred
days, exclusive of vacations and holidays. Five
days per week and five hours of actual school work
or a little less per day, after excluding recesses for
recreation, give about twenty-five hours per week.
There should be, as far as possible, alternation of
study-hours and recitations (the word recitation being
used in the United States for class exercise or lesson
conducted by the teacher and requiring the critical
attention of the entire class). Those studies requiring
the clearest thought should be taken up, as a usual
thing, in the morning session, say arithmetic the second
half hour of the morning and grammar the half-hour
next succeeding the morning recess for recreation
in the open air. By some who are anxious to
prevent study at home, or at least to control its amount
it is thought advisable to place the arithmetic lesson
after the grammar lesson, so that the study learned at
home will be grammar instead of arithmetic. It is
found by experience that if mathematical problems are
taken home for solution two bad habits arise; namely,
in one case, the pupil gets assistance from his parents
or others, and thereby loses to some extent his own
power of overcoming difficulties by brave and persistent
attacks unaided by others; the other evil is a
habit of consuming long hours in the preparation of a
lesson that should be prepared in thirty minutes, if
all the powers of mind are fresh and at command.
An average child may spend three hours in the preparation
of an arithmetic lesson. Indeed, in repeated
efforts to solve one of the so-called “conundrums,” a
whole family may spend the entire evening. One of
the unpleasant results of the next day is that the
teacher who conducts the lesson never knows the
exact capacity and rate of progress of his pupils; in
the recitation he probes the knowledge and preparation
of the pupil, plus an unknown amount of preparatory
work borrowed from parents and others. He
even increases the length of the lessons, and requires
more work at home, when the amount already exceeds
the unaided capacity of the pupil.
The lessons should be arranged so as to bring in
such exercises as furnish relief from intellectual tension
between others that make large demands on the
thinking powers. Such exercises as singing and calisthenics,
writing and drawing, also reading, are of the
nature of a relief from those recitations that tax the
memory, critical alertness, and introspection, like
arithmetic, grammar, and history.
Your Committee has not been able to agree on the
question whether pupils who leave school early should
have a course of study different from the course of those
who are to continue on into secondary and higher work.
It is contended, on the one hand, that those who leave
early should have a more practical course, and that they
should dispense with those studies that seem to be in
the nature of preparatory work for secondary and
higher education. Such studies as algebra and Latin,
for example, should not be taken up unless the pupil
expects to pursue the same for a sufficient time to
complete the secondary course. It is replied, on the
other hand, that it is best to have one course for all,
because any school education is at best but an initiation
for the pupil into the art of learning, and that
wherever he leaves off in his school course he should
continue, by the aid of the public library and home
study, in the work of mastering science and literature.
It is further contended that a brief course in higher
studies, like Latin and algebra, instead of being useless,
is of more value than any elementary studies that
might replace them. The first ten lessons in algebra
give the pupil the fundamental idea of the general expression
of arithmetical solutions by means of letters
and other symbols. Six months’ study of it gives him
the power to use the method in stating the manifold
conditions of a problem in partnership, or in ascertaining
a value that depends on several transformations
of the data given. It is claimed, indeed, that
the first few lessons in any branch are relatively of
more educational value than an equal number of subsequent
lessons, because the fundamental ideas and
principles of the new study are placed at the beginning.
In Latin, for instance, the pupil learns in his
first week’s study the, to him, strange phenomenon of
a language that performs by inflections what his own
language performs by the use of prepositions and
auxiliaries. He is still more surprised to find that the
order of words in a sentence is altogether different
in Roman usage from that to which he is accustomed.
He further begins to recognize in the Latin
words many roots or stems which are employed to denote
immediate sensuous objects, while they have been
adopted into his English tongue to signify fine
shades of distinction in thought or feeling. By these
three things his powers of observation in matters of
language are armed, as it were, with new faculties.
Nothing that he has hitherto learned in grammar is so
radical and far-reaching as what he learns in his first
week’s study of Latin. The Latin arrangement of
words in a sentence indicates a different order of mental
arrangement in the process of apprehension and
expression of thought. This arrangement is rendered
possible by declensions. This amounts to attaching
prepositions to the ends of the words, which they thus
convert into adjectival or adverbial modifiers; whereas
the separate prepositions of the English must indicate
by their position in the sentence their grammatical relation.
These observations, and the new insight into
the etymology of English words having a Latin derivation,
are of the nature of mental seeds which will
grow and bear fruit throughout life in the better command
of one’s native tongue. All this will come from
a very brief time devoted to Latin in school.
Your Committee recommends that an hour of sixty
minutes each week be assigned in the programme for
each of the following subjects throughout the eight
years: physical culture, vocal music, oral lessons in
natural science (hygiene to be included among the
topics under this head), oral lessons in biography and
general history, and that the same amount of time
each week shall be devoted to drawing from the second
year to the eighth inclusive; to manual training during
the seventh and eighth years so as to include sewing
and cookery for the girls, and work in wood and iron
for the boys.
Your Committee recommends that reading be given
at least one lesson each day for the entire eight years,
it being understood, however, that there shall be two
or more lessons each day in reading in the first and
second years, in which the recitation is necessarily very
short, because of the inability of the pupil to give continued
close attention, and because he has little power
of applying himself to the work of preparing lessons
by himself. In the first three years the reading should
be limited to pieces in the colloquial style, but selections
from the classics of the language in prose and in
poetry shall be read to the pupil from time to time,
and discussions made of such features of the selections
read as may interest the pupils. After the third
year your Committee believes that the reading lesson
should be given to selections from classic authors of
English, and that the work of the recitation should be
divided between (a) the elocution, (b) the grammatical
peculiarities of the language, including spelling, definitions,
syntactical construction, punctuation, and figures
of prosody, and (c) the literary contents, including the
main and accessory ideas, the emotions painted, the
deeds described, the devices of style to produce a
strong impression on the reader. Your Committee
wishes to lay emphasis on the importance of the last
item,—that of literary study,—which should consume
more and more of the time of the recitation from
grade to grade in the period from the fourth to the
eighth year. In the fourth year and previously the
first item—that of elocution, to secure distinct enunciation
and correct pronunciation—should be most
prominent. In the fifth and sixth years the second
item—that of spelling, defining, and punctuation—should
predominate slightly over the other two items.
In the years from the fifth to the eighth there should
be some reading of entire stories, such as Gulliver’s
Travels, Robinson Crusoe, Rip Van Winkle, The Lady
of the Lake, Hiawatha, and similar stories adapted in
style and subject-matter to the capacity of the pupils.
An hour should be devoted each week to conversations
on the salient points of the story, its literary and
ethical bearings.
Your Committee agrees in the opinion that in teaching
language care should be taken that the pupil practices
much in writing exercises and original compositions.
At first the pupil will use only his colloquial
vocabulary, but as he gains command of the technical
vocabularies of geography, arithmetic, and history, and
learns the higher literary vocabulary of his language,
he will extend his use of words accordingly. Daily
from the first year the child will prepare some lesson
or portion of a lesson in writing. Your Committee has
included under the head of oral grammar (from the
first to the middle of the fifth year) one phase of this
written work devoted to the study of the literary form
and the technicalities of composition in such exercises
as letter writing, written reviews of the several
branches studied, reports of the oral lessons in natural
science and history, paraphrases of the poems and
prose literature of the readers, and finally compositions
or written essays on suitable themes assigned by
the teacher, but selected from the fields of knowledge
studied in school. Care should be taken to criticise
all paraphrases of poetry in respect to the good or bad
taste shown in the choice of words; parodies should
never be permitted.
It is thought by your Committee that the old style
of composition writing was too formal. It was kept
too far away from the other work of the pupil. Instead
of giving a written account of what he had learned in
arithmetic, geography, grammar, history, and natural
science, the pupil attempted artificial descriptions and
reflections on such subjects as “Spring,” “Happiness,”
“Perseverance,” “Friendship,” or something else outside
of the line of his school studies.
Your Committee has already expressed its opinion
that a good English style is not to be acquired by the
study of grammar so much as by familiarity with great
masterpieces of literature. We especially recommend
that pupils who have taken up the fourth and fifth
readers, containing the selections from great authors,
should often be required to make written paraphrases
of prose or poetic models of style, using their own
vocabulary to express the thoughts so far as possible,
and borrowing the recherché words and phrases of the
author, where their own resources fail them. In this
way the pupil learns to see what the great author has
done to enrich the language and to furnish adequate
means of expression for what could not be presented
in words before, or at least not in so happy a manner.
Your Committee believes that every recitation is, in
one aspect of it, an attempt to express the thoughts
and information of the lesson in the pupil’s own words,
and thus an initial exercise in composition. The regular
weekly written review of the important topics in
the several branches studied is a more elaborate exercise
in composition, the pupil endeavoring to collect
what he knows and to state it systematically and in
proper language. The punctuation, spelling, syntax,
penmanship, choice of words, and style should not, it
is true, be made a matter of criticism in connection
with the other lessons, but only in the language lesson
proper. But the pupil will learn language, all the
same, by the written and oral recitations. The oral
grammar lessons, from the first year to the middle of
the fifth year, should deal chiefly with the use of language,
gradually introducing the grammatical technique
as it is needed to describe accurately the correct
forms and the usages violated.
Your Committee believes that there is some danger
of wasting the time of the pupil in these oral and written
language lessons in the first four years by confining
the work of the pupil to the expression of ordinary
commonplace ideas not related to the subjects of his
other lessons, especially when the expression is confined
to the colloquial vocabulary. Such training has
been severely and justly condemned as teaching what
is called prating or gabbling, rather than a noble use
of English speech. It is clear that the pupil should
have a dignified and worthy subject of composition,
and what is so good for his purpose as the themes he
has tried to master in his regular lessons? The reading
lessons will give matter for literary style, the geography
for scientific style, and the arithmetic for a business
style; for all styles should be learned.
Your Committee recommends that selected lists of
words difficult to spell be made from the reading lessons
and mastered by frequent writing and oral spelling
during the fourth, fifth, and sixth years.
Your Committee recommends that the use of a text-book
in grammar begin with the second half of the
fifth year, and continue until the beginning of the
study of Latin in the eighth grade, and that one daily
lesson of twenty-five or thirty minutes be devoted to it.
For Latin we recommend one daily lesson of thirty
minutes for the eighth year. For arithmetic we recommend
number work from the first year to the eighth,
one lesson each day, but the use of the text-book in
number should not, in our opinion, begin until the first
quarter of the third year. We recommend that the
applications of elementary algebra to arithmetic, as
hereinbefore explained, be substituted for pure arithmetic
in the seventh and eighth years, a daily lesson
being given.
Your Committee recommends that penmanship as a
separate branch be taught in the first six years at least
three lessons per week.
Geography, in the opinion of your Committee,
should begin with oral lessons in the second year, and
with a text-book in the third quarter of the third year,
and be continued to the close of the sixth year with
one lesson each day, and in the seventh and eighth
years with three lessons per week.
History of the United States with the use of a text-book,
your Committee recommends for the seventh
and the first half of the eighth year, one lesson each
day; the Constitution of the United States for the
third quarter of the eighth year.
The following schedule will show the number of lessons
per week for each quarter of each year:—
Reading. Eight years, with daily lessons.
Penmanship. Six years, ten lessons per week for first two
years, five for third and fourth, and three for fifth and
sixth.
Spelling Lists. Fourth, fifth, and sixth years, four lessons
per week.
Grammar. Oral, with composition or dictation, first year to
middle of fifth year, text-book from middle of fifth year
to close of seventh year, five lessons per week. (Composition
writing should be included under this head.
But the written examinations on the several branches
should be counted under the head of composition work.)
Latin or French or German. Eighth year, five lessons per
week.
Arithmetic. Oral first and second year, text-book third to
sixth year, five lessons per week.
Algebra. Seventh and eighth years, five lessons per week.
Geography. Oral lessons second year to middle of third
year, text-book from middle of third year, five lessons
weekly to seventh year, and three lessons to close
of eighth.
Natural Science and Hygiene. Sixty minutes per week,
eight years.
History of United States. Five hours per week seventh
year and first half of eighth year.
Constitution of United States. Third quarter in the eighth
year.
General History and Biography. Oral lessons, sixty minutes
a week, eight years.
Physical Culture. Sixty minutes a week, eight years.
Vocal Music. Sixty minutes a week, eight years.
Drawing. Sixty minutes a week, eight years.
Manual Training, Sewing, and Cooking. One-half day each
week in seventh and eighth years.
Your Committee recommends recitations of fifteen
minutes in length in the first and second years, of
twenty minutes in length in the third and fourth years,
of twenty-five minutes in the fifth and sixth years, and
of thirty minutes in the seventh and eighth.
The results of this programme show for the first and
second years twenty lessons a week of fifteen minutes
each, besides seven other exercises occupying an average
of twelve minutes apiece each day; the total
amount of time occupied in the continuous attention of
the recitation or class exercises being twelve hours, or
an average of two hours and twenty-four minutes per
day.
For the third year twenty lessons a week of twenty
minutes each, and five general exercises taking up five
hours a week, or an average of one hour per day, giving
an average time per day of two hours and twenty
minutes for class recitations or exercises.
In the fourth the recitations increase to twenty-four
(by reason of four extra lessons in spelling) and the
time occupied in recitations and exercises to thirteen
hours and an average per day of two hours thirty-six
minutes.
| Branches. |
1st year |
2d year |
3d year |
4th year |
5th year |
6th year |
7th year |
8th year |
| Reading |
10 lessons a week |
5 lessons a week |
| Writing |
10 lessons a week |
5 lessons a week |
3 lessons a week |
|
| Spelling lists |
|
|
|
4 lessons a week |
|
English Grammar |
Oral, with composition lessons |
5 lessons a week |
|
| Latin |
|
|
|
|
|
|
|
5 lessons |
| Arithmetic |
Oral, 60 minutes |
5 lessons a week with text-book |
|
|
| Algebra |
|
|
|
|
|
|
5 lessons a week |
| Geography |
Oral, 60 minutes a week |
15 lessons a week with text-book |
3 lessons a week |
Natural Science +Hygiene |
Sixty minutes a week |
| U. S. History |
|
|
|
|
|
|
5 lessons a week |
|
| U. S. Constitution |
|
|
|
|
|
|
|
|
15 ls |
| General History |
Oral, sixty minutes a week |
Physical Culture |
Sixty minutes a week |
| Vocal Music |
Sixty minutes a week divided into 4 lessons |
| Drawing |
Sixty minutes a week |
Man’l Train. or Sewing+ Cookery |
|
|
|
|
|
|
One-half day each week |
Number of Lessons |
20 + 7 daily exer. |
20 + 7 daily exer. |
20 + 5 daily exer. |
24 + 5 daily exer. |
27 + 5 daily exer. |
27 + 5 daily exer. |
23 + 6 daily exer. |
23 + 6 daily exer. |
Total Hours of Recitat’ns |
12 |
12 |
11⅔ |
13 |
16¼ |
16¼ |
17½ |
17½ |
Length of Recitations |
15 min |
15 min |
20 min |
20 min |
25 min |
25 min |
30 min |
30 min |
In the fifth and sixth years the number of recitations
increases to twenty-seven per week, owing to the addition
of formal grammar, and the total number of hours
required for all is 16¼ per week, or an average of 3¼
per day.
In the seventh and eighth years the number of lessons
decreases to twenty-three, history being added,
penmanship and special lessons in spelling discontinued,
the time devoted to geography reduced to three
lessons a week. But the recitation is increased to
thirty minutes in length. Manual training occupies a
half-day, or 2½ hours, each week. The total is 19
hours per week, or 3¾ per day.
The foregoing tabular exhibit shows all of these particulars.
Your Committee is agreed that the time devoted to
the elementary school work should not be reduced
from eight years, but they have recommended, as hereinbefore
stated, that in the seventh and eighth years a
modified form of algebra be introduced in place of
advanced arithmetic, and that in the eighth year English
grammar yield place to Latin. This makes, in
their opinion, a proper transition to the studies of the
secondary school and is calculated to assist the pupil
materially in his preparation for that work. Hitherto,
the change from the work of the elementary school has
been too abrupt, the pupil beginning three formal
studies at once, namely, algebra, physical geography,
and Latin.
Your Committee has found it necessary to discuss
the question of methods of teaching in numerous instances,
while considering the question of educational
values and programmes, because the value and time
of beginning of the several branches depend so largely
on the method of teaching.
The following recommendations, however, remain
for this part of their report:—
They would recommend that the specialization of
teachers’ work should not be attempted before the
seventh or eighth year of the elementary school and
in not more than one or two studies then. In the secondary
school it is expected that a teacher will teach
one, or at most, two branches. In the elementary
school, for at least six years, it is better, on the whole,
to have each teacher instruct his pupils in all the
branches that they study, for the reason that only in
this way can he hold an even pressure on the requirements
of work, correlating it in such a manner that no
one study absorbs undue attention. In this way the
pupils prepare all their lessons under the direct supervision
of the same teacher and by their recitations
show what defects of methods of study there have
been in the preparation.
The ethical training is much more successful under
this plan, because the personal influence of a teacher
is much greater when he or she knows minutely the
entire scope of the school work. In the case of the
special teacher the responsibility is divided and the
opportunities of special acquaintance with character
and habits diminished.
With one teacher, who supervises the study and
hears all the recitations, that there is a much better
opportunity to cultivate the two kinds of attention. The
teacher divides his pupils into two classes and hears one
recite while the other class prepares for the next lesson.
The pupils reciting are required to pay strict attention
to the one of their number who is explaining the point
assigned him by the teacher—they are to be on the
alert to notice any mistakes of statement or omissions of
important data, they are at the same time to pay close
attention to the remarks of the teacher. This is one
kind of attention, which may be called associated critical
attention. The pupils engaged in the preparation
of the next lesson are busy, each one by himself, studying
the book and mastering its facts and ideas, and
comparing them one with another, and making the
effort to become oblivious of their fellow-pupils, the
recitation going on, and the teacher. This is another
kind of attention, which is not associated, but an individual
effort to master for one’s self without aid a
prescribed task and to resist all distracting influences.
These two disciplines in attention are the best formal
training that the school affords.
Your Committee has already mentioned a species of
faulty correlation wherein the attempt is made to study
all branches in each, misapplying Jacotot’s maxim,
“all is in all” (tout est dans tout).
A frequent error of this kind is the practice of making
every recitation a language lesson, and interrupting
the arithmetic, geography, history, literature, or whatever
it may be, by calling the pupil’s attention abruptly
to something in his forms of expression, his pronunciation,
or to some faulty use of English; thus turning the
entire system of school work into a series of grammar
exercises and weakening the power of continuous
thought on the objective contents of the several
branches, by creating a pernicious habit of self-consciousness
in the matter of verbal expression. While
your Committee would not venture to say that there
should not be some degree of attention to the verbal
expression in all lessons, it is of the opinion that it
should be limited to criticism of the recitation for its
want of technical accuracy. The technical words in
each branch should be discussed until the pupil is
familiar with their full force. The faulty English should
be criticised as showing confusion of thought or memory,
and should be corrected in this sense. But solecisms
of speech should be silently noted by the teacher
for discussion in the regular language lesson.
The question of promotion of pupils has occupied
from time to time very much attention. Your Committee
believes that in many systems of elementary
schools there is injury done by too much formality in
ascertaining whether the pupils of a given class have
completed the work up to a given arbitrarily fixed
point, and are ready to take up the next apportionment
of the work. In the early days of city school systems,
when the office of superintendent was first created, it
was thought necessary to divide up the graded course of
study into years of work, and to hold stated annual
examinations to ascertain how many pupils could be
promoted to the next grade or year’s work. All that
failed at this examination were set back at the beginning
of the year’s work to spend another year in reviewing
it. This was to meet the convenience of the
superintendent, who, it was said, could not hold examinations
to suit the wants of individuals or particular
classes. From this arrangement there naturally resulted
a great deal of what is called “marking time.” Pupils
who had nearly completed the work of the year were
placed with pupils who had been till now a year’s interval
below them. Discouragement and demoralization
at the thought of taking up again a course of lessons
learned once before caused many pupils to leave school
prematurely.
This evil has been remedied in nearly one-half of
the cities by promoting pupils whenever they have
completed the work of a grade. The constant tendency
of classification to become imperfect by reason of the
difference in rates of advancement of the several pupils
owing to disparity in ages, degree of maturity, temperament,
and health, makes frequenter classification
necessary. This is easily accomplished by promoting
the few pupils who distance the majority of their classmates
into the next class above, separated as it is, or
ought to be, by an interval of less than half a year.
The bright pupils thus promoted have to struggle to
make up the ground covered in the interval between
the two classes, but they are nearly always able to
accomplish this, and generally will in two years’ time
need another promotion from class to class.
The procrustean character of the old city systems
has been removed by this device.
There remain for mention some other evils besides
bad systems of promotion due to defects of organization.
The school buildings are often with superstitious
care kept apart exclusively for particular grades of
pupils. The central building erected for high school
purposes, though only half filled, is not made to relieve
the neighboring grammar school, crowded to such a
degree that it cannot receive the classes which ought
to be promoted from the primary schools. It has happened
in such cases that this superstition prevailed so
far that the pupils in the primary school building were
kept at work on studies already finished, because they
could not be transferred to the grammar school.
In all good school systems the pupils take up new
work when they have completed the old, and the bright
pupils are transferred to higher classes when they have
so far distanced their fellows that the amount of work
fixed for the average ability of the class does not give
them enough to do.
In conclusion, your Committee would state, by way
of explanation, that it has been led into many digressions,
in illustrating the details of its recommendations
in this report, through its desire to make clear the
grounds on which it has based its conclusions and
through the hope that such details will call out a still
more thorough-going discussion of the educational
values of branches proposed for elementary schools,
and of the methods by which those branches may be
successfully taught.
With a view to increase the interest in this subject,
your Committee recommends the publication of selected
passages from the papers sent in by invited
auxiliary committees and by volunteers, many of these
containing valuable suggestions not mentioned in this
report.