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ERIC Number: EJ1337524
Record Type: Journal
Publication Date: 2021
Pages: 30
Abstractor: As Provided
ISBN: N/A
ISSN: EISSN-2157-2100
EISSN: N/A
Tracing Systematic Errors to Personalize Recommendations in Single Digit Multiplication and Beyond
Savi, Alexander O.; Deonovic, Benjamin E.; Bolsinova, Maria; van der Maas, Han L. J.; Maris, Gunter K. J.
Journal of Educational Data Mining, v13 n4 p1-30 2021
In learning, errors are ubiquitous and inevitable. As these errors may signal otherwise latent cognitive processes, tutors--and students alike--can greatly benefit from the information they provide. In this paper, we introduce and evaluate the Systematic Error Tracing (SET) model that identifies the possible causes of systematically observed errors in domains where items are susceptible to most or all causes and errors can be explained by multiple causes. We apply the model to single-digit multiplication, a domain that is very suitable for the model, is well-studied, and allows us to analyze over 25,000 error responses from 335 learners. The model, derived from the Ising model popular in physics, makes use of a bigraph that links errors to causes. The error responses were taken from Math Garden, a computerized adaptive practice environment for arithmetic that is widely used in the Netherlands. We discuss and evaluate various model configurations with respect to the ranking of recommendations and calibration of probability estimates. The results show that the SET model outranks a majority vote baseline model when more than a single recommendation is considered. Finally, we contrast the SET model to similar approaches and discuss limitations and implications.
International Educational Data Mining. e-mail: jedm.editor@gmail.com; Web site: https://jedm.educationaldatamining.org/index.php/JEDM
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Netherlands
Grant or Contract Numbers: N/A