Thinking and learning to think - Nathan C. Schaeffer (romantic story to read .txt) 📗
- Author: Nathan C. Schaeffer
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In another State university the professor of physics applied to an influential member of the board of trustees for an appropriation for apparatus. “Teach what is in the text-book; then you will not need apparatus,” was the reply. It seems almost incredible that a trustee of a modern university should fail to see the difference between an experiment actually performed and a description of the experiment in a text-book. More incredible still does it seem when we hear of professors who see no difference between an experiment made in the presence of a student and an experiment made by the student himself.
Pictures of apparatus and descriptions of experiments should, of course, not be despised or neglected. They are helpful in forming concepts of that which cannot be brought before a class. When made by the learner himself, as a result of his own work, they serve to clarify his thinking, and furnish a sure test of the pupil’s progress and of the teacher’s skill as a guide and instructor. A drawing, or even a statement in the pupil’s own words, is often an astonishing revelation of the crude notions which pictures give. The city lad who said that a cow was no bigger than a finger-nail because he had often measured its size in the First Reader is a typical example. The ability to interpret pictures and descriptions comes from actual knowledge of things similar to what is depicted or described. The noted teacher, Agassiz, made a difference in his directions to beginners and advanced students. To the former he would give specimens, with directions to study them without referring to a book. Having taught them how to use their eyes, he would gradually lead them to the method of interpreting and verifying the statements of an author. And when the advanced student was set to work at original investigations, he was told to study certain books, as it would save much valuable time. One of his pupils writes, “I shall never forget a forceful lesson given me by the great Agassiz, when I studied with him in the Museum of Cambridge. I worked near a young man from Cleveland, Ohio, who has since achieved distinction as a teacher of biology. I was comparatively a beginner, however, while he was well advanced in his studies. On a certain day Agassiz came sauntering by, and stopped long enough to tell me not to use the library so much, but to confine myself to observations of the specimens on hand and the writing of my observations and comments. Passing on a little farther, he spoke to my friend and said, ‘Albert, when you go home, this summer, to Cleveland, I wish you would make a special study of a certain kind of fish found in the harbor there. It is not found plentifully anywhere else in the world. Take a row-boat and go three hundred yards northeast of the point of the breakwater, and you will find them in abundance. Before going home, get the only three books ever written on this fish from the library here and read them. It will save your time to read them before beginning to study the fish itself.’”[3] Agassiz was as anxious to teach the right use of books as is the professor of literature; but he adapted his directions to the degree of advancement which his students had attained, and did not neglect the formation of the basal concepts and the habits of study needful in the sciences he taught.
How little the exhortations of our educational reformers have been taken to heart by some teachers is evident from the recent experiences of a normal school principal, who had great difficulty in finding a satisfactory teacher of botany. The students could invariably answer the questions of the State Board of Examiners by filling pages of manuscript with technical terms. In the field they could not distinguish one plant from another. In despair, the principal said to his teacher of psychology, “Why can we not apply common sense to the teaching of botany? Can we not plant seeds, watch their growth, and study the growing specimens instead of the pictures in a text-book?” “If you will give me the class in botany, I will try it,” was the reply. Before the next class took up botany, every chalk-box was emptied and every flower-pot utilized in the planting of seeds. In no long time there appeared on the fences of neighboring farms sign-boards with the inscription, “Trespassing on these fields is forbidden, under penalty of the law.” The members of the class were traversing the country, studying the real flowers, the growing plants, instead of the technical terms of a text-book. At the next final examination, the herbarium which each one had prepared, together with the accompanying analysis and drawings of parts which could not be described, including colorings in imitation of the actual colors of the flowers, gave evidence of real knowledge, and served to satisfy the examiners, although the array of technical terms was far less formidable.
If violations of the fundamental laws of teaching occur in our higher institutions of learning, what may we not expect in the lower schools where the teaching is intrusted to young people of limited education? Nevertheless, it is a notorious fact that the worst forms of teaching are found in our higher institutions of learning, where many of the professors seem to know as little of the science of education as the motorman knows of the science of electricity; otherwise they would make impossible the use of “ponies, coaches, and keys,” by means of which the student taxes the memory rather than the understanding, and ultimately loses all power of independent thought and investigation. Such helps arrest mental development, destroy the power of original thinking, and do more harm than the practice of feeding the mind with mere verbal statements which in course of time may acquire content and meaning. The study of the sciences which classify minerals, plants, insects, birds, fishes, and other animals may degenerate into a mere study of words, even when the student acquires some familiarity with the specimens to be classified. The scientific name is the one thing about a flower with which the Creator has had nothing to do, and if the recognition of the scientific name is the chief or sole aim of the student of botany, it is a genuine case of feeding the mind on words.
By those who are fond of scientific pursuits the dead languages are sometimes despised as though the study of them were learned playing with mere words. Among people who begin their education somewhat late in life there is a strong temptation to estimate linguistic studies very far below their true value as a means for disciplining the reasoning faculty. When pursued in the right way, the study of the classical languages furnishes as much good material for thought as the natural sciences. Huxley may charm an audience by a lecture on a piece of chalk; the philologist can excite equal interest by a lecture on the word chalk. Words grow and undergo changes according to well-defined laws which furnish as much food for thought as the laws governing the union of atoms or the motions of the heavenly bodies. The words of a lexicon contain as much of precious interest in the sight of man as the manufactured gases or the plucked leaves and dissected flowers of the laboratory. Greek and Latin roots have more vitality in them than the collections of stones, stuffed birds, and transfixed bugs in the museum. The endings of nouns, adjectives, pronouns, and verbs furnish ample opportunity for observation, comparison, and reflection; their functions in the syntax of the sentence furnish splendid exercises in formal and qualitative thinking. If, however, the time of the pupil is entirely consumed in mastering the hundreds of exceptions to the rules of gender and case, of declensions and conjugations, of syntax and prosody, it is another sad instance of feeding the mind on mere words. The pupil who begins the study of any foreign language before he has reached his teens should acquire the power to read the language at sight; otherwise there has been something faulty in the methods of teaching or of study, or in both. A man is as many times a man as he knows languages; and the comparison of the idioms of two or more languages furnishes most excellent material for careful and accurate thinking. In translating an author like Plato the student must think the thoughts of a master mind, weigh words so as to detect the finer shades of meaning, and arrange them in sentences that shall adequately express the meaning of the original. The value of pure mathematics, especially the Euclidian geometry, as a means for the cultivation of thinking, lies in the limited number of fundamental concepts which must be clearly fixed and in the nature of the reasoning by which the truth of the theorems is established. The axioms are few in number and easily grasped; the quantities to be defined can, without difficulty, be set in a clear light before the understanding; the chain of proof compels the mind to join ideas by their logical nexus, and if the learner persists in memorizing the demonstration, he is at once detected. And yet when, as sometimes happens, he goes over several books of geometry without clearly perceiving the difference between an angle and a triangle, it must be a genuine specimen of acquiring words without the corresponding ideas.
The words of S. S. Greene deserve the attention of every teacher anxious to prevent the formation of vicious habits of thought by the pupils in our schools and colleges. Years ago he wrote as follows: “While an external object may be viewed by thousands in common, the idea or image of it addresses itself only to the individual consciousness. My idea or image is mine alone,—the reward of careless observation, if imperfect; of attentive, careful, and varied observation, if correct. Between mine and yours a great gulf is fixed. No man can pass from mine to yours, or from yours to mine. Neither, in any proper sense of the word, can mine be conveyed to you. Words do not convey thoughts; they are not vehicles of thought in any true sense of that term. A
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