The classes that followed the NCTM reform model, the “test group,” in other words, were
taught by teachers who volunteered to do so. That means that those teachers were the kind
of people who are receptive to change and to trying something new. That makes the
teachers who taught the control group, the non-reform curriculum, a group of nonvolunteering
sorts of teachers; just the kind that you might expect to be not so good at
inspiring the young with the beauties of mathematics. In other words, the instructors were
self-selected to match the division into groups; a classical violation of the most elementary
principles of the design of such experiments.
The classes that followed the NCTM reform model, the “test group,” in other words, weretaught by teachers who volunteered to do so. That means that those teachers were the kindof people who are receptive to change and to trying something new. That makes theteachers who taught the control group, the non-reform curriculum, a group of nonvolunteeringsorts of teachers; just the kind that you might expect to be not so good atinspiring the young with the beauties of mathematics. In other words, the instructors wereself-selected to match the division into groups; a classical violation of the most elementaryprinciples of the design of such experiments.
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