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Personalized tutoring systems adapt practice or feedback to estimates of a learner’s knowledge.
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Bayesian Knowledge Tracing (BKT) is a probabilistic model of skill mastery from a sequence of responses.
Corbett and Anderson’s BKT models mastery as a hidden state updated from correct and incorrect responses, with parameters for initial mastery, learning transition, guess and slip. Vygotsky’s zone of proximal development concerns the gap between independent performance and performance with guidance or collaboration. A randomized study of 252 learners examined varying proportions of erroneous LLM feedback on math problems and reported that perceived usefulness declined as hallucinations increased. These findings are scoped to their measured setting, not every tutor or subject.
BKT estimates mastery probabilities for modeled skills from response histories.
Vygotsky’s zone of proximal development describes tasks a learner can do with guidance that they cannot yet do independently.
A randomized study examined how erroneous LLM math feedback affected learner outcomes and perceived usefulness in its study setting.
Distributed-practice research examines review sessions spaced over time.
Teachers may choose to review or adjust a software-suggested practice plan; this is a design option rather than a claim about future job roles. Evaluate tutoring systems with learning measures, curriculum alignment, accessibility and appropriate data handling.
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Personalized tutoring systems adapt practice or feedback to estimates of a learner’s knowledge. Bayesian Knowledge Tracing (BKT) is a probabilistic model of skill mastery from a sequence of responses.
Knowledge tracing models the hidden probability that a student has mastered each skill, based on their pattern of correct and incorrect answers, to choose the best next problem.
A Socratic tutor scaffolds learning by asking guiding questions and prompting the student to reason toward the answer instead of just handing it over.
The distributed-practice literature finds that spacing study opportunities over time can improve long-term retention relative to massed practice, with effects depending on the material and spacing interval.
The study reports that perceived feedback usefulness declined as the proportion of hallucinated feedback increased. This result is specific to that math-tutoring experiment.
Teacher review is a design recommendation, not a prediction about how teaching roles will change. The cited sources do not establish a universal teacher/AI division of labor.
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