Full Text (PDF)
Abstract
In this paper, we propose to use a Bayesian three-dimensional item response model to estimate the student’s understanding of the vector concept. The experiment involved administering a test with 20 items about understanding vectors to 120 undergraduate students. The understanding is considered a latent variable of three dimensions related to observable data from item responses of a vector test. The Bayesian approach was used to obtain estimations about individual parameters, which were qualitatively analyzed based on a framework for understanding concepts. According to the results, we classify students into three levels of understanding in each dimension analyzed. We observed that a high percentage of students reached a medium level of understanding, while a low percentage achieved a high level of understanding. In addition to the classification, we obtained understanding profiles to quantify the level of students’ understanding in each of the dimensions. These profiles offer a more nuanced view of students’ understanding of the concept vector, which has significant practical implications. This information can guide the improvement of teaching strategies and curriculum design, allowing educators to address specific areas of difficulty and enhance learning in the concept of vectors.
License
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Article Type: Research Article
EURASIA J Math Sci Tech Ed, Volume 21, Issue 1, January 2025, Article No: em2566
https://doi.org/10.29333/ejmste/15856
Publication date: 13 Jan 2025
Article Views: 204
Article Downloads: 59
Open Access References How to cite this article