Of a Liberal Education in General; and with Especial Reference to the University of Cambridge ...

Forside
J.W. Parker, 1850

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Geometry cannot be superseded
31
Value of Geometry
32
Arithmetic to be learnt
33
Conic Sections 35 Mechanics and Hydrostatics
34
Newtons Principia
36
Astronomy
37
Optics 39 The Higher Mathematics are Progressive Studies PAGE 22 SECT 5 Of Analytical Mathematics as an Educational Study
38
Meaning of Analysis 41 Merits of Analysis
41
Analysis compared with Geometry
42
Is not an exercise of the Reason
43
Does not exemplify the usual kind of reasoning
44
Does not depend on the matter reasoned
45
Exemplified in Proportion
46
In Trigonometry
47
In Conic Sections
48
In Statics 50 In Dynamics 51 In Astronomy
49
Analysis not valuable in Education 52 As the Mathematical element
52
Analysis evades difficulties 54 Standard Geometrical Demonstrations to be used 55 With Questions 56 And Problems
53
Geometry necessary as introductory to Analysis
57
Analysis ill understood disgusts students
58
Faculties which Analysis cultivates
59
Hence Analysis worthless as discipline
60
Art
61
Belongs to Geometry
62
Is lost in Analysis
63
Hence the educational value is lost
64
Geometrical Mathematicians solve problems better
65
Recapitulation SECT 6 Of Progressive Mathematics as an Educational Study
66
And Mathematical in particular
68
List of such subjects
69
But Analysis does not supersede Geometry
71
Division of Mathematical writings
72
Capital Works to be studied
73
List of them restricted
74
Original Investigations not to be required
75
To be admitted in practical problems
76
Systematic Treatises to be read
77
Elementary Treatises
78
Not to be rapidly changed
79
To be selected by authority
80
Not to supersede Geometry
81
English and Foreign Mathematics
82
The study of Newton not an evil
83
Chance of a school of English Mathematicians
84
We require Mathematics as an Education
85
Writing Latin verse
90
Writing Greek prose
92
And Greek verse
93
SECT 8
95
Objections urged against Permanent Studies 105 They do not narrow the mind
105
On account of their excellence
106
Though read with Commentators PAGE
107
Are such like the Aristotelian Commentators?
108
The memory is to be used in cultivating the reason
109
Schoolboy ridicule of cramming
110
Common ridicule of technicalities
111
Rules to be learnt before reasons
112
Value of new methods of teaching
113
Old methods to be respected
114
Mathematics and Classics both necessary
115
Have been united generally
116
PAGE
118
CHAPTER II
120
sities
128
They occur in his Travels in America 129 Ascribed to me opinions opposite to what I have expressed
129
Pretending to seek my views
130
Our College system agrees with Mr Lyells Pro
131
He does not condemn our peculiarities 133 He condemns me for recommending respect
133
What will Mr Lyell do with unwilling students?
134
Lectures will not secure attention
135
Hence Examinations instituted
136
Mr Lyells confusion about a critical spirit
137
Mode of teaching the Philosophy of Science
138
How do men learn to think for themselves?
139
Progressive Sciences may be introduced at Cam bridge
140
Is the College System new in our Universities?
141
It is as old as the Reformation
142
It is established by the Statutes
143
Is it desirable to have only a few College Tutors?
144
Present faults of the College System
145
Mr Lyells remedies not effective
146
Examinations are means of teaching 148 May be separated from Lectures
148
But are then not a good Education
149
Examinations and Lectures must agree
150
Case when the Lecturers are the Examiners
160
Cannot be general in the University
161
Advantages of Oral Examinations
162
Their alleged disadvantages
164
Of recent changes in the Educational System of Cambridge
169
Grace of 1838
170
OF THE METHOD OF TEACHING IN CLASSICS AND MATHEMATICS
191
System in 1772 Moderators notices
192
Disputations
193
Compliments of Moderators
194
Examinations of Questionists
195
Subjects
196
Problems
197
Hours
198
Examination by Fathers of Colleges
200
Junior Optimes
201
Proctors Senior Optimes
202
Medallists
203
The Polloi
204
Advantages of the Disputations
205
Causes of Change
206
Annual Examination Syndicate of 1773
208
Graces of 1779 Arrangements of Classes
210
The Law better than the present practice
211
Grace of 1792 for the better attendance of Schools
212
Grace of 1808 A day added to the Examination
213
Books then current in the University
214
Introduction of Analysis
215
Inconvenient result
216
Tendency to innovate
217
Inconveniences felt Grace of 1827 New Plan of Examination
219
Grace of 1828 The Polloi
220
Graces of 1831 1832 Further alterations
221
Of Establishing the Progressive Sciences in
224
Tendency of the changes Classes abolished
225
Reason of this
226
Time extended for Examinees 228 And for Examiners
227
Time added to Questions from Books
229
Knowledge of Principles aimed
230
Want of Standard Books
231
Resulting evils
232
Art
233
A Standard Course of Study
234
To be drawn up by a Board?
235
Subjects not to be treated analytically Conic Sections
236
Mechanics Dr Woods
237
Dr Whewells Mechanics
238
Graces of 1836 1837
1
Alterations for the Polloi PAGE
17
Alleged advantage of it for the New Triposes 314 Philosophy of Classical Scholars 315 Is it common? 316 Testimony of a Medallist
25
158
27
To the effect of Classical reading 318 Its effect on Lectures
34
Paper of Questions in Ancient History 325 What is Ancient Philosophy? 326 Want of modern English books on this 327 Such should precede the ch...
39
The Moral Sciences Tripos
43
Its Plan 337 To be settled by practice 338 Civil Law Lectures
45
Value of this study 340 To be ascertained before further change 341 Is this hard on the Faculty? 342 Connection of this with Moral Sciences 343 A ...
50
The Natural Sciences Tripos
52
Oscillations
60
63
63
Necessity of Latin as a Permanent Study 87 And of Greek
87
Latin and Greek as Progressive Studies
88
Progressive cannot supersede Permanent Studies
89
Latin more necessary than Greek
90
May translations supersede Latin and Greek?
91
Do Translations perplex Examinations?
92
Translations are valuable in Literature
93
Capital works in Classical Literature
94
Cannot be superseded by private teaching
95
Writing Latin to be practised
96
Of College Lectures and Professorial Lectures 110
110
First of Classical Teaching 120 Teaching at School
120
College Lectures
121
Their difference from Professorial Lectures
122
Previous knowledge required
123
Difference of students capacity
124
Size of Classes
125
Professorial Lectures necessary
126
Their advantages and disadvantages
127
Its Plan 347 Difficulty of execution 348 Limitation of the subjects 349 Are experiments c necessary? 350 Zoology omitted 351 No Board needed
130
The First Three Sections
131
Hydrostatics 243 Optics 244 Astronomy 245 Differential Calculus
132
Examinations viva voce to be restored 247 The possibility of this 248 The character which they should have 249 They must be vigorous 250 Paper ...
137
Examination for Higher Honours 254 Answers to be published 255 Reason why Cambridge should improve Exami nations
139
169

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Populære avsnitt

Side 89 - Telescopes. The elementary parts of Astronomy ; so far as they are necessary for the explanation of the more simple phenomena, without calculation.
Side 171 - Opponentium, primus, secundus, or tertius, denoting the order in which the three opponents are to appear. One of these papers is sent to each opponent. When one Moderator has thus given out the exercises for a week, or five acts, (exercises being held for five days in a week during term,) the other proceeds according to the same method for the following week.
Side 31 - I have on a former occasion said*, the student is rendered familiar with the most perfect examples of strict inference ; he is compelled habitually to fix his attention on those conditions on which the cogency of the demonstration depends ; and in the mistakes and imperfect attempts at demonstration made by himself and others, he is presented with examples of the more natural fallacies, which he sees exposed and corrected.
Side 96 - Studies ; whose duty it shall be to consult together from time to time on all matters relating to the actual state of Mathematical Studies and Examinations in the University ; and to prepare annually and lay before the Vicechancellor a Report, to be by him published to the University in the Lent or Easter Term of each year.
Side 129 - Accordingly, on the first day (Friday), the questions from books extended to such parts of pure Mathematics and Natural Philosophy as do not require the Differential Calculus, and on the Saturday were added parts of Natural Philosophy somewhat more advanced, and the simpler applications of the Calculus. On Monday, the first and second classes were examined together, and the third and fourth together, in questions from books and in Problems ; and on Tuesday, the second and third were examined together,...
Side 92 - That all students, who, being candidates for the degree of BA, or for the honorary degree of MA, are not candidates for honors, shall, in addition to what is now required of them, have attended before they be admitted to examination for their respective degrees, the lectures delivered during one term at least, by one or more of...
Side 56 - ... logarithms. The elementary parts of Plane Trigonometry, so far as to include the solution and properties of triangles. The elementary parts of Conic Sections, treated geometrically, but not excluding the method of orthogonal projections ; curvature.
Side 43 - Board. 4. It shall be the duty of the said Board to consult together from time to time on all matters relating to the state of the Previous, General...
Side 116 - University," beg leave to commence their Report with a brief account of the present state of instruction in that department of study. IN the Previous Examination and in the Ordinary Examination for the BA degree, the University requires an acquaintance with one of the Gospels and the Acts of the Apostles in the original Greek, with Paley's Evidences and Paley's Moral Philosophy. The other encouragements and aids to Theological studies offered at present by the University (in addition to what is done...
Side 94 - Downing Professor of Medicine, Professor of Mineralogy, Professor of Political Economy; and shall have obtained a certificate of having passed an examination satisfactory to one of the professors whose lectures they have chosen to attend.

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