Programa del congreso

The teaching of geometry has traditionally been approached from abstract and decontextualized perspectives, which has contributed to learning difficulties, math anxiety, and low student engagement. This study aims to analyze the potential of geometry as a preventive guidance tool in the educational context, integrating contributions from pedagogy, educational psychology, and mathematics didactics. A qualitative research approach with a descriptive-analytical scope was developed, based on a systematic review of indexed scientific literature and a theoretical-conceptual analysis of educational experiences. The results show that contextualized, progressive, and formative geometry instruction fosters the development of spatial reasoning, cognitive self-regulation, and students' emotional well-being, acting as a protective factor against academic failure. It is concluded that geometry, integrated into a preventive guidance approach, transcends its instrumental function and becomes a strategic pedagogical resource for holistic education.

Keywords-- educational geometry, preventive guidance, mathematics education, school well-being, spatial reasoning.

The integration of dynamic mathematical software has become increasingly relevant in engineering education, particularly in post-pandemic contexts that demand interactive and accessible learning environments. This study examines the effect of GeoGebra, an open-source dynamic mathematics platform, on the conceptual understanding of real variable functions among first-year engineering students in Peru. A quasi-experimental design with pre-test and post-test control groups was implemented (n = 40). Instrument reliability was confirmed through Cronbach’s alpha (α = 0.87). Statistical analyses included Shapiro–Wilk normality testing, Levene’s homogeneity test, independent samples t-test, and effect size estimation using Cohen’s d. Results demonstrated statistically significant differences in post-test performance between the experimental group (M = 15.5, SD = 2.21) and the control group (M = 12.4, SD = 1.96), t(38) = 4.073, p = 0.001. The calculated effect size was large (Cohen’s d = 1.48), indicating a substantial educational impact. Students exposed to GeoGebra achieved higher levels of conceptual and graphical comprehension compared to those receiving traditional instruction. These findings provide empirical evidence supporting the integration of dynamic open-source technologies to enhance mathematical abstraction and learning outcomes in engineering education.

This qualitative study examines how engineering students in a Multivariable Calculus course engage with mathematical modeling tasks supported by Artificial Intelligence (AI). When used as a cognitive scaffold rather than a solver, AI enhanced authenticity, creativity, and conceptual understanding. Students who critically validated AI outputs demonstrated deeper mathematical reasoning and ethical awareness. However, challenges emerged in creativity, visualization, and meaningful AI integration. The study recommends embedding reflective AI use, improving task design, and reinforcing ethical training to foster responsible technology use and genuine learning in higher education mathematics.

Global academic rankings (GAR) are used to measure educational quality and internationalization through indicators designed to meet the interests of universities. However, they neglect relevant types of Higher Education Institutions (HEIs) worldwide, especially the Polytechnic Institutes and the like. This study highlights the vocational HEIs niche, their role, and contributions to this level of education and to the expansion of transnational knowledge networks. Analyses through exploratory and documentary research methodology of the main existing GAR and their indicators revealed gaps, which could be filled in with internationalization activities currently carried out in vocational HEIs. So, its main contribution is the proposal of six new indicators and their inclusion to the existing GAR. In addition, a discussion on implementing them is carried out as a case study.