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This article presents a survival analysis-based model to estimate the duration of the emotion of confusion in students during learning. Academic confusion can have both positive and negative effects, and its persistence can lead to negative emotions. The model considers crucial factors such as personality traits and students' prior knowledge, which have been shown to significantly influence the duration of confusion. To investigate this relationship, data were collected from seventh-grade students who used an intelligent tutoring system to solve algebra problems. The results of the analysis of data from 25 students revealed statistically significant differences in the duration of confusion based on different personality traits and prior algebra knowledge. Additionally, a model of intervention for intelligent learning environments was proposed when students are confused, based on the developed model. This module determines the optimal time to intervene and provide individualized assistance tailored to the student's knowledge for the specific problem. The study contributes to understanding the dynamics of academic confusion and highlights the importance of considering emotions and their duration, as well as personality traits and prior knowledge, when designing appropriate interventions in intelligent learning environments. Identifying the opportune moment to intervene when a student is confused is essential to promote a more effective learning process, allowing educators to adopt personalized approaches to meet individual students' needs and facilitate their learning journey. [ABSTRACT FROM AUTHOR]