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Critique of Quantitative Research

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Two persistent critiques of quantitative experimentalism are (a) the lack of isomorphism between its measures and "reality" and (b) its failure thus far to produce "truths" useful to educational practice. These critiques have long been commented on. As early as 1918, B. R. Buckingham wrote:
We may labor ingeniously at our analyses of results and may bring from afar the most potent methods which statistical theory has evolved, but we shall accomplish little if our instruments are as grossly defective as some of those which are now being employed appear to be. (p. 132)
Buckingham's concern continues to be echoed by contemporary researchers:
If multiple independent anecdotes are to be trusted, the computers too often have been processing in stolid seriousness worthless data produced by children who were staging mass boycotts, or deliberately sabotaging the process or making jokes out of their answers. Anecdotes of similar scandals are available for questionnaires, attitude scales and interviews. (Campbell, 1978)
Too often, then, the link between results and "reality" is assumed rather than systematically investigated. Consequently, the empirical bases of educational practice are too frequently half-truths and pure fictions.
BASIC PROBLEMS
We quite agree with the first critique, that quantitative concepts are not isomorphic with quantitative measures. As Bateson (1980, p. 133) noted, "I can, in a sense, see the dog discriminate, but I cannot possibly see his 'discrimination.' There is a jump from particular to general, from member to class." As a result, we have no measuring devices ... designed with so perfect a knowledge of all the major relevant sources of variation. In physics, the instruments we think of as "definitional" reflect magnificently successful theoretical achievements and themselves embody classical experiments in their very operation. In the

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