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Information and Communication Technologies (ICT) have fueled innovative support techniques in the educational field that enhance students' educational training processes. The goal of this study was to measure the relationships between progress in that training, mathematical self-concept, and the new students' academic performance when they were supported by an online training, through the Khan Academy platform. A sample of 906 students distributed over four cohorts was analyzed through correlational and inferential quantitative methodology. The results show that students' academic performance was directly related to their mathematical self-concept, their progress in the online training, and other socioeconomic factors, such as being in receipt of grants, their parents’ educational attainment, and access to technological devices at home, highlighting a technological gap in academic performance in favor of students with access to such devices. Further research is needed about the role of teachers and the methodology that accompanies learning through this technological tool.

Se analiza la comprensión de tablas estadísticas (de recuento y de frecuencias) con 78 alumnos españoles de 7-8 años de tres centros escolares. A partir de un enfoque mixto, descriptivo y exploratorio, basado en un análisis del contenido de tipo convencional, se ha diseñado y analizado una actividad basada en datos del contexto de la COVID-19, estructurada en cuatro fases: diálogo inicial, trabajo individual, en pequeño grupo y en gran grupo. El foco del análisis se sitúa en la construcción de tablas y su interpretación, junto con la transnumeración. Los datos revelan: 1) un buen nivel de interés, participación y capacidad de reflexión del alumnado; 2) la mayoría del alumnado ha sido capaz de elaborar tablas de recuento y la mitad ha realizado la transnumeración a tablas de frecuencias, detectando algunas dificultades y errores tanto en la realización como en la interpretación posterior. Se concluye que estos resultados permiten comprender mejor el desarrollo de la alfabetización estadística del alumnado de los primeros niveles y, consecuentemente, aportan datos relevantes para diseñar programas de formación del profesorado más eficaces.

The teaching of probability is conditioned by teachers’ mathematical knowledge. In this paper, an exploratory study is carried out with prospective teachers. A training task was designed requiring them to create and solve a probability problem using the values of euro coins, which was adapted to students aged 11 to 12. The study aimed at determining what mathematical knowledge prospective teachers show when dealing with the task. The data were collected through the Moodle online Campus. We framed the data analysis in the Mathematical Knowledge for Teaching model and we used content analysis as the methodological approach. The results indicate that, despite finding evidence of adequate common and specialised mathematical knowledge, in approximately half of the prospective teachers participating in the study, too many of them still show a lack of knowledge in both subdomains. There was also little evidence of knowledge of the curriculum. The main finding of the research is that, when prospective teachers get involved in complex creative tasks, they mobilised together specialised and common mathematical knowledge, working into different mathematical processes such as problem posing and solving, communication, and argumentation, which reinforces the need to continue working on these types of complex tasks.

The goal of this research is to analyze the factors that mediate the success of the use of online learning support platforms, based on the perceptions of a focus group of university professors, with a qualitative methodological approach. The sample consisted of 11 mathematics professors who taught three subjects to 9 240 incoming students, during seven semesters between 2018 and 2021. Through open coding, 17 factors were identified that mediate the success of the online learning support platform. Through axial coding, 5 categories were determined that summarize the relationships between the different factors, namely: "obstacles," impediments that teachers must face when teaching; "teacher contribution," factors that indicate the added value that teachers find in the classroom from the implementation of online training; "student," reception given by students to the online training; "reinforcement," factors related to the medium used to develop the online training; "platform," factors related to the strategy itself and how to improve it. Finally, through selective coding, it was possible to integrate and redefine the central categories, obtaining as a result an implementation model of the online platform, which can explain and contribute to the success of other similar experiences at the university level.