“Proofs” to Grade

R. J. St. Andre, Douglas D. Smith · American Mathematical Monthly · 1978

SummaryOur success with these exercises may be explained in at least two ways. First, they are a substitute for the well-known method of learning by teaching. We are all aware of the value of the experience of grading papers, becoming aware of the variety of possible errors, and, most importantly, explaining the errors. Secondly, we have found some students say they need examples when they begin to write proofs. What this startling complaint probably means is that the students have not been directly involved in the many proofs they have seen in classes and in textbooks. “Proofs” to Grade provides students with experience in working with proof techniques and reading proofs critically.

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