A Process-Oriented Approach to Assessing High School Students’ Mathematical Problem-Solving Competence: Insights from Multidimensional Eye-Tracking Analysis

The assessment of mathematical competence, particularly in real-world problem-solving contexts, has become increasingly crucial in high school educational evaluation. While traditional methods have shifted towards emphasizing problem-solving skills, they remain predominantly outcome-oriented, often...

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Bibliographic Details
Main Authors: Sijia Hao, Huanghe Pan, Dan Zhang
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Education Sciences
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Online Access:https://www.mdpi.com/2227-7102/15/6/761
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Summary:The assessment of mathematical competence, particularly in real-world problem-solving contexts, has become increasingly crucial in high school educational evaluation. While traditional methods have shifted towards emphasizing problem-solving skills, they remain predominantly outcome-oriented, often failing to adequately capture the nuanced cognitive processes underlying students’ problem-solving behaviors. To address this gap, this study introduces a process-oriented assessment method leveraging eye-tracking technology. Fifty-three university students (primarily first- and second-year undergraduates) in China were recruited to solve six context-based mathematical problems of varying difficulty levels while wearing portable eye-tracking glasses, allowing for natural problem-solving behaviors in a paper-and-pencil test format. The study established a multidimensional model of eye movement features to evaluate problem-solving processes. Using China’s National College Entrance Examination (<i>CNCEE</i>) mathematics scores as the dependent variable, a Partial Least Squares Regression (PLSR) analysis achieved its best predictive performance (prediction R<sup>2</sup> of 0.271) based on multidimensional eye movement features when solving the most difficult problem. The first visual intake duration on problem-reading areas and key information regions emerged as significant contributors of the students’ <i>CNCEE</i> scores. These findings substantiate the potential of eye-tracking technology as a valuable tool for educational assessment, offering insights into the assessment of students’ mathematical competence and supporting the development of more comprehensive learning diagnosis and intervention strategies.
ISSN:2227-7102