The Teaching of Solid Geometry at the University of Vermont
My teaching experience of solid geometry extends over ten years. During the first few years, I taught the subject as beginners usually do. I selected a textbook, wrote an assignment on the board, the extent of which was decided after the number of propositions to be taught had been carefully divided by the number of lectures to be given during the semester. Each assignment included several exercises. Frequently I would give certain propositions to definite members of the class, either as a home assignment or as a class exercise. These students would put the statement, figure, hypothesis and conclusion on the board. Several would do this each day during the first few minutes, then they would give the formal proof, either orally or in writing. The exercises were dealt with similarly. If the work was not carefully done I would go over it myself. Every now and then I would ask the class to pass in exercises and theorems completely demonstrated; and, when we were studying the last two books, computation problems involving the pyramid, prism, cylinder, cone and sphere were given.