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Læringskurve (Power Law of Practice)×Knowledge Tracing×Learning Analytics×Ikke-lineær programmering×
FagområdeUddannelsesanalyseUddannelsesanalyseUddannelsesanalyseOptimering
FamilieRegression modelMachine learningProcess / pipelineProcess / pipeline
Oprindelsesår1936199420112006
OphavspersonTheodore WrightAlbert Corbett & John AndersonGeorge Siemens & Phil LongJorge Nocedal & Stephen Wright
TypePower-law regression modelProbabilistic student modelingdata-driven educational process pipelineContinuous mathematical optimization
Oprindelig kildeWright, T. P. (1936). Factors affecting the cost of airplanes. Journal of the Aeronautical Sciences, 3(4), 122–128. DOI ↗Corbett, A. T., & Anderson, J. R. (1994). Knowledge tracing: Modeling the acquisition of procedural knowledge. User Modeling and User-Adapted Interaction, 4(4), 253–278. DOI ↗Siemens, G., & Long, P. (2011). Penetrating the fog: Analytics in learning and education. EDUCAUSE Review, 46(5), 30–40. link ↗Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1
AliasserPower Law of Practice, Experience Curve, Wright's Law, Öğrenme EğrisiBKT, Bayesian Knowledge Tracing, Deep Knowledge Tracing, Bilgi İzlemeEducational Data Mining, Academic Analytics, Learning Data Analytics, Öğrenme AnalitiğiNLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama
Relaterede3333
ResuméThe learning curve models how performance improves predictably as cumulative experience accumulates. Formalized by Theodore Wright in 1936 using aircraft manufacturing data, it expresses the relationship between the number of practice trials (or production units) and the time or cost per unit as a power-law function. It is widely applied in educational psychology, industrial engineering, health professions training, and human factors research whenever repeated task execution is the mechanism of skill acquisition.Knowledge Tracing (KT) is a student-modeling technique that estimates, at each moment in time, the probability that a learner has mastered a target knowledge component. Introduced by Corbett and Anderson in 1994, the classical Bayesian Knowledge Tracing (BKT) model treats skill acquisition as a two-state Hidden Markov Model driven by four interpretable parameters: prior knowledge, learning rate, slip, and guess. Deep variants (DKT, DKVMN, AKT) later replaced HMMs with recurrent and transformer architectures.Learning Analytics is the measurement, collection, analysis, and reporting of data about learners and their contexts, with the purpose of understanding and optimizing learning and the environments in which it occurs. Formally introduced by George Siemens and Phil Long in 2011, the approach draws on data generated in digital learning environments to provide educators, institutions, and learners with evidence-based feedback for improving educational outcomes.Nonlinear programming (NLP) is a branch of mathematical optimization concerned with problems in which the objective function or at least one constraint is nonlinear. Formalized comprehensively by Jorge Nocedal and Stephen Wright in their seminal 2006 text, NLP encompasses gradient-based algorithms — including sequential quadratic programming (SQP), interior-point methods, and quasi-Newton approaches — for finding locally or globally optimal solutions to continuous decision problems arising across engineering, economics, and the physical sciences.
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ScholarGateSammenlign metoder: Learning Curve · Knowledge Tracing · Learning Analytics · Nonlinear Programming. Hentet 2026-06-15 fra https://scholargate.app/da/compare