philosophies Article On Educational Assessment Theory: A High-Level Discussion of Adolphe Quetelet, Platonism, and Ergodicity Patrick Francis Bloniasz 1,2,3 1 Program in Neuroscience, Bowdoin College, Brunswick, ME 04011, USA;
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[email protected] 2 Program in Digital and Computational Studies, Bowdoin College, Brunswick, ME 04011, USA 3 Department of Education, Aeon for Ocean, Eden Prairie, MN 55347, USA Abstract: Educational assessments, specifically standardized and normalized exams, owe most of their foundations to psychological test theory in psychometrics. While the theoretical assumptions of these practices are widespread and relatively uncontroversial in the testing community, there are at least two that are philosophically and mathematically suspect and have troubling implications in education. Assumption 1 is that repeated assessment measures that are calculated into an arithmetic mean are thought to represent some real stable, quantitative psychological trait or ability plus some error. Assumption 2 is that aggregated, group-level educational data collected from assessments can then be interpreted to make inferences about a given individual person over time without explicit justification. It is argued that the former assumption cannot be taken for granted; it is also argued that, while it is typically attributed to 20th century thought, the assumption in a rigorous form can be traced back at least to the 1830s via an unattractive Platonistic statistical thesis offered by one of the founders of the social sciences—Belgian mathematician Adolphe Quetelet (1796–1874). While contemporary Citation: Bloniasz, P.F. On research has moved away from using his work directly, it is demonstrated that cognitive psychology Educational Assessment Theory: A is still facing the preservation of assumption 1, which is becoming increasingly challenged by current High-Level Discussion of Adolphe paradigms that pitch human cognition as a dynamical, complex system.