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Measurement of Cognitive Development
Very few would doubt that the most influential account of cognitive development over the previous century has been that of Piaget and his Genevan school of researchers. Piaget's cognitive developmental theory is an empirical part of his larger philosophical theory of genetic epistemology. Through investigations involving his own children during their infancy and the problem solving of hundreds of thousands of Swiss schoolchildren over six decades, he proposed a hierarchical sequence of four cognitive developmental stages: sensori-motor, pre-operational, concrete operational, and formal operational stages. In the post-Sputnik era, U.S. researchers, in particular, turned to cognitive developmental theory to inform classroom practice and curriculum design. Concerted attempts were made to augment the prevailing psychometric accounts of IQ by investigating the quantification of particular cognitive developmental concepts such as conservation, or, more generally, of Piaget's stages. In educational psychology, the term measurement is used interchangeably with quantification and statistics, but in this entry, the term is restricted to describe just those scales with iterative units.
It is somewhat ironic that the cognitive developmental theory of Piaget was dismissed in the United States and United Kingdom because, in part, it did not yield the quantitative indicators expected by psychologists of that era. His theory was decidedly qualitative, in spite of its logico-mathematical structure, at a time when quantitative approaches dominated the field of educational psychology. Decades later, when psychology is more accepting of qualitative theories and the principles for measuring Piagetian cognitive development are now quite well established, some mainstream educational psychologists seem to regard his theory as passé. Those who have persisted in the attempt to measure cognitive development have managed to satisfy the most stringent requirements for measurement in the field of psychometrics—those of the Rasch model for measurement.
Psychometricizing Piaget
The conventional view of the state of play in the 1960s can be summarized by looking to the book Measurement and Piaget and a review of it that appeared in the year following its publication. Measurement and Piaget recorded the proceedings of a Conference on Ordinal Scales of Cognitive Development sponsored by CTB/McGraw-Hill in 1969. In an interesting review of the book devoted to the proceedings of a conference in 1969, Wohlwill summarized rather succinctly what has been regarded as the lack of interest by Piagetians in quantification of cognitive development where the title of the book Measurement and Piaget was juxtaposed against his review title “And Never the Twain Did Meet.” He then painted a picture of the archetypal Piaget deliberately relegating the problems of “psychometricizing” Piagetian measures to a province beyond his concern, on the grounds that Piaget asserted that he had “no interest whatever in the individual.” More tellingly, he then described other developmentalists at the conference as quite ready to let the topic of measurement lie in the limbo to which Le Patron had relegated it.
It would be too easy, as well as erroneous, to disregard Piaget's views on psychological measurement as being ill informed. In his discussion on the role and techniques of psychological research, The Place of the Sciences of Man in the System of Sciences, the critique that Piaget makes of the psychometric techniques of the time shows him to be much better informed than many of his contemporaries. It is only now, after the end of that century, that one might fully comprehend Piaget's prescience: His claim was that the chief difficulty with the sciences of man, and indeed with all of the life sciences, lies in the absence of units of measurement, the property that was common to the measurement systems that abound in the physical sciences. This bold and informed assertion was published in English, after the 1969 measurement conference referred to above, but in print before both the Measurement and Piaget text of 1971 and the “Never the Twain Did Meet” critique of 1972.
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