——This alternate teaching, in which the one who has been taught takes the teacher's place, can be used only where there is a content which admits of a mechanical treatment. The Hindoos made use of it in very ancient times. Bell and Lancaster have transplanted it for the teaching of poor children in Europe and America. For the teaching of the conventionalities——reading, writing, and arithmetic——as well as for the learning by heart of names, sentences, &c., it suffices, but not for any scientific culture. Where we have large numbers to instruct, the giving of the fully developed statement (the first form) is necessary, since the dialogue, though it may be elsewhere suitable, allows only a few to take part in it. And if we take the second form, we must, if we have a large number of pupils, make use of the catechetical method only. What is known as the conversational method has been sometimes suggested for our university instruction. Diesterweg in Berlin insists upon it. Here and there the attempt has been made, but without any result. In the university, the lecture of the teacher as a self-developing whole is contrasted with the scientific discussion of the students, in which they as equals work over with perfect freedom what they have heard. Diesterweg was wrong in considering the lecture-system as the principal cause of the lack of scientific interest which he thought he perceived in our universities. Kant, Fichte, Schelling, Schleiermacher, Wolf, Niebuhr, &c., taught by lectures and awakened the liveliest enthusiasm. But Diesterweg is quite right in saying that the students should not be degraded to writing-machines. But this is generally conceded, and a pedantic amount of copying more and more begins to be considered as out of date at our universities. Nevertheless, a new pedantry, that of the wholly extempore lecture, should not be introduced; but a brief summary of the extempore unfolding of the lecture may be dictated and serve a very important purpose, or the lecture may be copied. The great efficacy of the oral exposition does not so much consist in the fact that it is perfectly free, as that it presents to immediate view a person who has made himself the bearer of a science or an art, and has found what constitutes its essence. Its power springs, above all, from the genuineness of the lecture, the originality of its content, and the elegance of its form: whether it is written or extemporized, is a matter of little moment. Niebuhr e.g. read, word for word, from his manuscript, and what a teacher was he!——The catechetical way of teaching is not demanded at the university except in special examinations; it belongs to the private work of the student, who must learn to be industrious of his own free impulse. The private tutor can best conduct reviews.——The institution which presupposing the lecture-system combines in itself original production with criticism, and the connected exposition with the conversation, is the _seminary_.