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reason why, 200-suggestion of a useful plan of teaching geometry
to a class of children, 200—order in which the different principles of
geometry ought to follow each other, 201-errors committed by at-
tempting to prove rigidly the theory of parallel lines, 201-impossibil-
ity of it, 201-Lagrange followed the example of Euclid, 201—
another error committed in defining the circle as a polygon of an in-
finite number of sides, 202-method of teaching algebra, 202—diffi-
culties met with in the study of algebra, 202-text-books commonly
destitute of problems, 202-mechanism of English writers, 202-defi-
ciencies of the French, 202-mode of supplying the deficiencies of
both, 203—the problems of Meier Hirsch eminently calculated for the
purpose, 203—the study of analytic geometry and the calculus, 203–
books adapted to that purpose, 203–La Place's Méchanique Céleste
translated by Dr Bowditch, 203–the American translation offering
greater facilities than the original, 204-conclusion, 204.
LECTURE VIII.
ON THE MONITORIAL SYSTEM.-BY HENRY K. OLIVER.
Introduction, 205---advantages of the monitorial system of instruc-
tion, 207—first, provides for the tuition of a greater number, 210—
second, economy of time, 210-third, every scholar is kept constantly
employed, 212-school rendered less irksome to the scholars---fourth,
the business of teaching made more interesting to the instructer,
214-defects of the monitorial system, 217-is productive of great
noise and confusion, 217-monitors apt to be unfaithful, and not compe-
tent to the duties expected from them, 219—the teacher cannot be suffi-
ciently well acquainted with the pupils, 222-tendency to produce su-
perficial and inaccurate scholars, 222-how far the monitorial system
may be adopted in common schools, 225-mode of applying it in certain
exercises, 226-use of black-boards, 227---Boston schools, 228---con-
clusion, 230.
LECTURE IX.
ON VOCAL MUSIC.-BY WILLIAM C. WOODBRIDGE.
231
Manner in which vocal music has been regarded in the United
States, in Europe,-objects to be aimed at, in order to effect a
change, 233-measures for accomplishing these objects here, 234-
the Morning Call, 235-emotion spontaneously expressed by the
voice-music neglected in this country, 236---its revival desirable---
the immediate object of music, 237---its ultimate objects; devotion,
recreation, health, 238---favorable effect upon health in Germany;
remark of Pres. Dwight, 239---the Garden; effect of music in a Swiss
village, 240---effect of music in softening and elevating the character;
Luther's remarks, 241---Plato---effect of music in promoting habits of
order, obedience and union---music combined with words; its effect
on national character, 242---The Rising Sun; occurrence at Hofwyl,
243---supposed necessity of a natural ear and voice, for music; causes
of erroneous opinions on this subject, 244---the number of those who
are disqualified by nature, exceedingly small, 245---testimony of Pfeif-
fer, and of other teachers; argument from the nature of the case, 246——
effect of musical skill upon elocution, 247-opinions of distinguished
men in Germany and Switzerland; Niemeyer, Schwartz, Denzel, 248
-Harnisch, Fellenberg, Vehrli, Pfeiffer, Nageli, 249-ordinance of
the Prussian government, 250-experiment in Hartford, Conn.-in-
ductive system of instruction in music, 251-principles of this me-
thod, 252-manner in which these principles are applied, 253-254
-conclusion, 255,
LECTURE X.
ON LINEAR DRAWING.-BY WALTER R. JOHNSON.
257
Introduction, 259-formation of a habit of accurate observation,
with a view to obtain exact perceptions of things, 260-drawing favor-
able to this, 260-a means of improving the perceptive powers, 261-
and through them the powers of the understanding, 262-direct utility
of drawing, 262-in the arts and trades, 263-fine arts, 264-as an
introduction to penmanship, 265-Rousseau's scheme of teaching the
art, 266-Madame de Genlis', 267-series of lessons in drawing; first,
geometrical lines with slate and pencil, 268-second, linear drawing,
269-third, exercises requiring an acquaintance with perspective;
maps and charts; fourth, parts of animated objects, 270-fifth, draw-
ing from nature, 270-sketches and shades, machines, landscapes,
heads, 271—uses to professors in the sciences, 272—and classics, 272
-drawing materials, 274-conclusion, 275.
LECTURE XI.
ON ARITHMETIC.-BY WARREN COLBURN.
277
Introduction, 279-arithmetic an important study, 280---its practical
utility-mental discipline---advantages of the old and new modes of
teaching arithmetic compared, 281---best mode of teaching the new
system---cach teacher's peculiar mode the best for him, 283---general
principles of instruction, 284---but one thing should be taught at a
time, 285---illustration and application of this fundamental principle---
in what way the teacher should help the scholar, 287---abstract and
practical questions, 288---association of ideas, 292---scholars should be
allowed to reason in their own way, 293---scholars should be required
to tell how they solve questions, 294---hint to authors of school-books
---recitations, 294---should be in classes---modern facilities for teach-
ing of doubtful utility---business of teaching should be a distinct pro-
fession, 297.
LECTURE XII.
ON CLASSICAL LEARNING.-BY CORNELIUS C. FELTON.
299
Letter to the Censors, 304-introductory remarks, 305-6-objections
to classical studies stated, 306-violent spirit of one class of oppo-
nents to classical studies, 307-importance of deciding the question
on classical learning, 307-defence of philological studies in general,
308---arguments against them applicable to the departments of learn-
ing, 309---defence of classical languages, 310---first, necessity of
Latin and Greek to the perfect understanding of English, 310-11---
second, English literature closely connected with the classics, 312---
perfection of Grecian taste---circumstance that forms it, 313---ancient
languages more finished than others, 314---intellectual effort necessa-
ry to settle the meaning of difficult passages, a useful and practical
exercise, 314---do. that of comprehending the entire worth of an an-
cient author, 314-15---useful effects of such knowledge on the mind
and character, 315-16---imperfect mode of studying the classics among
ourselves, 316---ancient literature valuable on general principles of
literary taste---particularly Greek, 316-17---Schlegel's opinion of Ho-
mer, 317--value of Greek drama, 317-18---circumstances that formed the
drama, 318---characteristics of the drama, 318-19---character of Æschy-
lus, as exhibited in several of his dramatic poems, 319---analysis of the
'Prometheus Chained,' with extracts, 319-20-21---summary of the
general characteristics of this poem, 321---general study of the drama
desirable, 322---Greek philosophy---hasty decisions of the moderns,
322---character of Plato's mind,—as illustrated in several of his works,
322-23---character of Aristotle's mind, 323-24---character of Socrates,
324---practical use of Grecian oratory, 324---Demosthenes and Eschi-
nes' contest for the crown, 325---careful and repeated perusal necessary
to the full comprehension of the power of Demosthenes' eloquence, 326
---Wyttenbach's account of the effect which the study of Demosthenes
had upon himself, 326---moral effects of classical studies, 327---remarks
upon the supposed dangerous character of ancient mythology, 327---
remarks upon the pernicious character of the popular literature of
the day, 328---patriotic character of ancient literature, 328---classics
free from the enfeebling sentiment that taints much of present liter-
ature, 329---indifference with which the classics have been of late re-
garded, 329---imperfection of classical education among us, 329---
proper mode of reading classics, 330---futile character of late schemes
to shorten the labor of acquiring ancient languages, 330---necessity
of a change in classical education, 330-31---sketch of a classical teach-
er's duties and pursuits, 331---peculiar literary advantages of America,
331-32.
LECTURE XIII.
ON THE CONSTRUCTION AND FURNISHING OF SCHOOL.
ROOMS, AND ON SCHOOL APPARATUS.-BY WILLIAM J.
ADAMS.
333
Introduction, 335---importance of school architecture, 336---location
of a school-house, 337---play-ground, 337---ventilation, 338---warm-
ing, 338---sufficient space, 339---space in different schools, 340---
windows, 340---inclined floor, an evil, 340---seats and desks, 342---
school apparatus, 344---time-piece, maps and globes, black-board, 345
---abacus, or numeral frame, 346---conclusion.