Introduction. Anxiety is characterised by feelings of tension, apprehension or fear. It arises from concern about student performance at university, with an emphasis on exact science subjects. It is not only students, who suffer from mathematical anxiety. However, anxiety is a predominant factor in student performance at all levels.The aim of the research was to describe the levels of anxiety also known as distress manifested by university mathematics students studying at the Universidad Nacional de Chimborazo (UNACH) during the 2020-1 academic semester.Methodology and research methods. The current study was carried out applying the quantitative paradigm. It is of a descriptive exploratory design. The total sample consisted of 120 students, who are preparing at their university level, and, who are studying the subject of mathematics at different levels and careers at UNACH. The selection of the sample was of an intentional non-probabilistic type and having as inclusion criteria not having been diagnosed with an anxiety disorder. As a measurement instrument, the Short Inventory of Anxiety Situations and Responses-ISRA-B was applied. ISRA-B was sent to students by email to facilitate data collection.Results. The results were analysed by means of the two-factor ANOVA calculation (mathematics and understanding). The results showed that there are statistically significant differences in the understanding of the contents presented by the teachers in a virtual way. During the COVID-19 pandemic the levels of mathematical anxiety increased. Teaching mathematics at university in online format requires the assessment of digital connection and time limited submission of assignments. These factors limit understanding and generate mathematical anxiety. Scientific novelty. In face-to-face education, mathematical anxiety is common. But because of the pandemic, mathematics education has had to migrate to the virtual environment. The present research reflects the impact of anxiety not only on mathematics education and academic performance but also on the emotions of students. The data collection instruments ISRA-B-C, ISRA-B-F and ISRA-B-M are innovative and adaptable to all levels of education.Practical significance. The importance of mathematics and the overestimation of its difficulties cause great concern for the learning of this subject in studies at a higher university level. The current studies of virtual mathematical anxiety are important because they allow the detection and analysis of possible educational failures in online learning. The failures of online education have a direct impact not only on performance and learning, but on an emotional state of students.

Introduction. In order to encourage more flexible working environments and establish generators of sustainable development for participating countries through an educated society, various international organisations that intervene in the quality dimension within the framework of a systemic approach to Higher Education, including the World Bank, have made multiple efforts to establish various recognitions, certifications and credits pertaining to competency-based education. Materials and Methods. The research, featuring a study of theoretical-interpretative design, was based around the qualitative paradigm. Information was obtained by means of semi-structured interviews with 14 lecturers from different universities in the city of Quito in Ecuador. The data obtained were triangulated with a review of the literature carried out by the researchers. Results. The informants considered cognitive competencies to be the most relevant within the context of teacher formation. Research, planning and organisation skills were not established in importance due to university professionalisation. Additionally, the need to establish curricular changes in the Ecuadorian university pedagogy was confirmed. Discussion and Conclusion. After contrasting the opinions of university professors and formation theories, a theoretical reflection is presented in which the importance of unifying professional formation and investigative competencies is emphasised. This unification allows the quality of higher education centred around the teacher as the main actor to be increased.

The difficulty in the process of trigonometry teaching, served as a stimulus for the present research, in which the objective consisted of designing and proposing the use of a Trigonometric Cicular Geoplane for the construction of meaningful learning in the area of Mathematics at Israel Technological University. For Its development, a field research, descriptive type, and a special project modality was conducted. As key informants, the participation of twenty (20) students and three (3) teachers that work in distinct levels of the institution described above. In order to gather information, observations and interviews were used, and the instrument of an observation and interview guides were submitted to a valid process. For the purpose of reliability, it was implemented through a standardization of registers and categories, then the findings were analyzed based on a cultivated and descriptive analysis in order to elaborate the conclusions in search of the proposed objectives about the design and use of the teaching tool that contributes in a positive manner to the teaching and learning of Geometry, in the same manner, the motivation and receptivity to use of Geoplane were used, in response to permit the development of innovated methodologies that show a change of andragogy practice, as it is, to teach learning skills that last a lifetime.

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El objetivo del presente estudio fue analizar la eficacia docente en la cultura organizativa de las escuelas y la comunidad profesional de aprendizaje. La investigación fue de carácter cuantitativo, con una muestra constituida por muestreo aleatorio simple de 359 profesores que trabajaban en escuelas de nivel inicial, básico y general unificado de las ciudades de Cuenca y Azogues, Ecuador. Se aplicó como instrumentos cuatro cuestionarios tipo Likert de cinco opciones de respuesta, con el método de análisis de prueba t, F y Sheffe. Mediante el análisis de correlación y regresión múltiple, los resultados indicaron que los maestros responden a la organización de la escuela, según sus características personales. La cultura organizativa de la escuela se está transformando gradualmente, en una cultura positiva e ideal. La comunidad profesional de aprendizaje tuvo un efecto positivo en la eficacia de los maestros. Como conclusión, la cultura organizativa de la escuela y la comunidad profesional de aprendizaje debe ir más allá de la dimensión interactiva y pasar a la dimensión de la integración como elementos de la mejora de la escuela para obtener una mayor eficacia pedagógica.