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We start this discussion of the article by Martin A. Simon with two major conjectures that we will try to substantiate. The first is that there is a kind of teaching that can legitimately be called “constructivist teaching.” The second is that Simon's model of teaching his prospective elementary school teachers, if modified, would fit our understanding of constructivist teaching, even though his basic premise is that constructivism does not tell us how to teach mathematics (Simon, 1995).
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