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Progress is slow partly from mere intellectual inertia. In a subject where there is no agreed procedure for knocking out errors, doctrines have a long life. A professor teaches what he was taught, and his pupils, with a proper respect and reverence for teachers, set up a resistance against his critics for no other reason than that it was he whose pupils they were.
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p. 79.

 

Joan Robinson

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“Culture” means … the cultivation of the mind, the taking care and improving of the native faculties of the mind in accordance with the nature of the mind. Just as the soil needs cultivators of the soil, the mind needs teachers. But teachers are not as easy to come by as farmers. The teachers themselves are pupils and must be pupils. But there cannot be an infinite regress: ultimately there must be teachers who are not in turn pupils. Those teachers who are not in turn pupils are the great minds.

 

Leo Strauss

 

Looking back over the space of fifty years since I entered Harvard College, Benjamin Peirce still impresses me as having the most massive intellect with which I have ever come in contact, and as being the most profoundly inspiring teacher I ever had. ... As soon as he had finished the problem or filled the blackboard he would rub everything out and begin again. He was impatient of detail, and sometimes the result would not come out right; but instead of going over his work to find the error, he would rub it out, saying that he had made a mistake in a sign somewhere, and that we should find it when we went over our notes. Described in this way it may seem strange that such a method of teaching should be inspiring; yet to us it was so to the highest degree. We were carried along by the rush of his thought, by the ease and grasp of his intellectual movement. The inspiration came, I think, partly from his treating us as highly competent pupils, capable of following his line of thought even through errors in transformations; partly from his rapid and graceful methods of proof, which reached a result with the least number of steps in the process, attaining thereby an artistic or literary character; and partly from the quality of his mind which tended to regard any mathematical theorem as a particular case of some more comprehensive one, so that we were led onward to constantly enlarging truths.

 

Benjamin Peirce

 

My experience of men has neither disposed me to think worse of them, or indisposed me to serve them; nor in spite of failures, which I lament, of errors which I now see and acknowledge; or of the present aspect of affairs; do I despair of the future.
The truth is this: The march of Providence is so slow, and our desires so impatient; the work of progress is so immense and our means of aiding it so feeble; the life of humanity is so long, that of the individual so brief, that we often see only the ebb of the advancing wave and are thus discouraged. It is history that teaches us to hope.

 

Robert E. Lee

 

If you become a teacher, by your pupils you'll be taught.

 

Oscar Hammerstein

 

The pupil too often has a choice only between beginning with a study of the results of prior specialization where the material is isolated from his daily experiences, or with miscellaneous nature study, where material is presented at haphazard and does not lead anywhere in particular. The habit of introducing college pupils into segregated scientific subject matter, such as is appropriate to the man who wishes to become an expert in a given field, is carried back into the high schools. Pupils in the latter simply get a more elementary treatment of the same thing, with difficulties smoothed over and topics reduced to the level of their supposed ability. The cause of this procedure lies in following tradition, rather than in conscious adherence to a dualistic philosophy. But the effect is the same as if the purpose were to inculcate an idea that the sciences which deal with nature have nothing to do with man, and vice versa. A large part of the comparative ineffectiveness of the teaching of the sciences, for those who never become scientific specialists, is the result of a separation which is unavoidable when one begins with technically organized subject matter. Even if all students were embryonic scientific specialists, it is questionable whether this is the most effective procedure. Considering that the great majority are concerned with the study of sciences only for its effect upon their mental habits — in making them more alert, more open-minded, more inclined to tentative acceptance and to testing of ideas propounded or suggested, — and for achieving a better understanding of their daily environment, it is certainly ill-advised. Too often the pupil comes out with a smattering which is too superficial to be scientific and too technical to be applicable to ordinary affairs.

 

John Dewey