Mejora del aprendizaje del cálculo infinitesimal a través de metodologías que fortalezcan el cociente emocional y aumenten el pensamiento crítico en estudiantes de tercero de bachillerato

Abstract

This research represents an effort to integrate various contemporary pedagogical approaches into a coherent framework to address one of the most significant challenges in mathematics education: the teaching of infinitesimal calculus. The results obtained demonstrate that it is possible to create learning experiences that, without sacrificing the conceptual rigor required in mathematics, incorporate elements that make learning more meaningful and motivating for students. The specific effectiveness in the domain of calculus, with no detectable changes in general measures of emotional intelligence, suggests that the benefits of integrating emotional dimensions into mathematics education may manifest in more subtle and specific ways than initially hypothesized. This specificity of the effect opens new questions about the mechanisms thru which pedagogical interventions generate their impacts. The findings of this study have implications that extend beyond the specific domain of infinitesimal calculus, suggesting general principles for designing educational experiences that recognize the multidimensional complexity of human learning. The convergence of pedagogy, technology, and an understanding of emotional processes in learning represents a promising direction for educational innovation. Finally, it is important to recognize that improving mathematics education requires sustained efforts involving not only methodological innovations but also changes in teacher training, institutional policies, and the overall educational culture. This study represents a modest but hopefully significant contribution to that collective effort to create educational experiences that enable all students to develop their mathematical and human potential. Keywords: Problem-Based Learning, educational gamification, infinitesimal calculus, emotional intelligence, mathematics education, active methodologies, educational technologies.