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I really see no harm which can come of giving our children a little knowledge of physiology. . . . The instruction must be real, based upon observation, eked out by good explanatory diagrams and models, and conveyed by a teacher whose own knowledge has been acquired by a study of the facts; and not the mere catechismal parrot-work which too often usurps the place of elementary teaching.

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Hyman Bass

Knowing something for oneself or for communication to an expert colleague is not the same as knowing it for explanation to a student.

Communication, Knowing, Student, Teacher, Teaching
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Pedagogy, like language itself, can either liberate or imprison ideas, inspire of suffocate constructive thinking.

Imprison, Inspire, Like, Math, Teaching, Thinking

Mathematics is one of the deepest and most powerful expressions of pure human reason, and, at the same time, the most fundamental resource for description and analysis of the experiential world.

Human, Math, Mathematics, Powerful, Reason, Teaching
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