Integration of active methodologies and artificial intelligence in teaching vectors, lines, and planes: a classroom experience in a university linear algebra course

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awduron: Acuña-Chacón, Reiman, Marrero-Calvo, Marcela
Fformat: artículo original
Statws:Versión publicada
Dyddiad Cyhoeddi:2026
Disgrifiad:This paper describes an educational experience developed in a university-level Linear Algebra course at the Costa Rica Institute of Technology, focusing on the study of vectors, lines, and planes. Aiming to strengthen conceptual understanding and critical thinking, the course implemented active methodologies such as Just-in-Time Teaching (JiTT) and Peer Instruction (PI), supported by Artificial Intelligence (AI) tools. The work dynamic involved students in random groups who used AI to generate initial solutions for complex exercises, which they then had to critically analyze, correct, and justify. Findings, based on student feedback, reveal a high appreciation for the methodology, highlighting its usefulness for verifying procedures, correcting errors, and obtaining instant feedback. Additionally, the experience promoted the development of validation and critical reasoning skills by confronting the limitations of AI tools. The study concludes that the integration of AI within an active pedagogical structure fosters deeper, more collaborative, and more autonomous learning.
Gwlad:Portal de Revistas TEC
Sefydliad:Instituto Tecnológico de Costa Rica
Repositorio:Portal de Revistas TEC
Iaith:Español
OAI Identifier:oai:ojs.pkp.sfu.ca:article/8256
Mynediad Ar-lein:https://revistas.tec.ac.cr/index.php/tec_marcha/article/view/8256
Allweddair:Metodologías activas
Inteligencia artificial
vectores
álgebra lineal
educación matemática universitaria
Active methodologies
artificial intelligence
vectors
linear algebra
university mathematics education