Abstract
We examine a number of papers and a book, all of which have been
cited, by people who are knowledgeable in the field, as being good examples
of “research in mathematics education.” We find specific serious flaws,
indeed fatal flaws, in all of them, so that no conclusions of any interest follow
as a result of any of the “research” that is reported in these works. We have
found no evidence that the research paradigm, involving test and control
groups, randomized trials, etc., which is invaluable in the life sciences, is of
any use whatever in studying mathematics education and we urge that it be
abandoned, in favor of human-to-human discourse about how we can
improve curricula and teaching.
Abstract We examine a number of papers and a book, all of which have beencited, by people who are knowledgeable in the field, as being good examplesof “research in mathematics education.” We find specific serious flaws,indeed fatal flaws, in all of them, so that no conclusions of any interest followas a result of any of the “research” that is reported in these works. We havefound no evidence that the research paradigm, involving test and controlgroups, randomized trials, etc., which is invaluable in the life sciences, is ofany use whatever in studying mathematics education and we urge that it beabandoned, in favor of human-to-human discourse about how we canimprove curricula and teaching.
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