María Teresa Sánchez-Compaña

This instrumental case study analyses the evolution of the specialised knowledge and affective domain of a pre-service primary education teacher regarding the subtraction algorithm. Traditionally, subtraction with regrouping is taught via procedural metaphors which often cause mathematical misconceptions. To address this problem, an instructional intervention based on the Mathematics Teacher’s Specialised Knowledge (MTSK) framework was implemented to examine changes in both specialised knowledge and the affective domain. This instrumental qualitative case study adopted an interpretative approach. Data were analysed using deductive-inductive content analysis based on audiovisual teaching tasks, questionnaires, and a semi-structured interview. Findings suggest substantial changes: cognitively, the pre-service teacher shifted from relying on mechanical rules to demonstrating a structural mastery of the Decimal Numbering System using manipulative tools. Emotionally, acquiring a deep relational understanding allowed her to overcome her academic past and experience true math-redemption. The study concludes that addressing mathematical cognition, pedagogical strategies, and emotional history simultaneously empowers future educators to break the generational cycle of mathematical fear.

The purpose of this article is to conduct a mathematical and phenomenological comparison of three concepts: (1) the finite limit of a function at a point, (2) the finite limit of a sequence, and (3) the infinite limit of a sequence. Additionally, we aim to analyse the presence of these concepts in Spanish textbooks. The methodology employed is exploratory and descriptive. Our mathematical comparison revealed differences in several areas, including the dependence between variables, the involved infinite processes, the types of infinity, the dimensioning for each variable, and the intuition of continuity in the interval. Our phenomenological comparison found a correspondence between phenomena using a formal approach, but differences in phenomena when using an intuitive approach. Finally, our analysis of textbooks revealed that all three limits are most commonly presented in the verbal representation system and definition format. Contribution: This study has contributed to the teaching and learning of the notion of limit.

En el siglo xxi, surge la necesidad de un cambio en el paradigma educativo, siendo las TIC un medio vehicular que puede hacer posible esta consecución. En este artículo se exponen un conjunto de actividades sobre poliedros en 3.º de la ESO (estudiantes entre 14 y 16 años) para fomentar la adquisición y mejora de habilidades espaciales. Partiendo de los errores geométricos detectados en una evaluación inicial, se diseñan actividades sustentadas en las ventajas que ofrecen los entornos inmersivos de realidad virtual para el desarrollo de dichas habilidades, además de actividades realizadas con materiales manipulativos. Se analizan las resoluciones de los estudiantes mostrando y comparando las estrategias utilizadas en ambos casos. El análisis de dichos resultados muestra evidencias en el desarrollo de habilidades espaciales y mejora en cuanto a la subsanación de errores cometidos.

Resumen En este estudio se pretenden describir perfiles del futuro docente de matemáticas en relación con la enseñanza del límite infinito de una sucesión. Para ello, se conformaron grupos focales en los que el futuro profesorado dialogó sobre la manera en la que se abordaría la enseñanza de este límite y, posteriormente, se estableció un análisis de coincidencias reticular, con el que presentar la aparición de un conjunto de sucesos mediante un grafo. Los resultados arrojados permitieron determinan cómo el profesorado en formación empleará el enfoque intuitivo y formal en sus comentarios sobre la enseñanza del límite infinito de una sucesión. Además, analizamos si la formación es una variable a tener en cuenta en las respuestas de los futuros docentes a tareas relacionadas con el límite infinito.

Recent societal changes have meant that education has had to adapt to digital natives of the 21st century. These changes have required a transformation in the current educational paradigm, where active methodologies and ICT have become vehicles for achieving this goal, designing complete teaching sequences with STEM approaches that help students to learn. Under a gamified approach, this document addresses a didactic proposal in geometry focused on STEM disciplines. This proposal combines tools such as AR, VR, manipulative materials, and social networks, with techniques such as m-learning, cooperative-learning, and flipped-learning, which make methodological transformation possible. The research was carried out during two academic years under an action research framework. It departed from a traditional methodology and, in two cycles, methodology was improved with the benefits that gamification brings to STEM proposals in Secondary Education. The data gathered in the experiment were analysed following a mixed method. Learning produced, strategies employed, successes and errors, and results of a questionnaire are presented. Evidence shows an improvement in academic performance from 50% fails to 100% pass, most of the students ended up motivated, participation was of the whole group, more than 80% showed positive emotions, and thanks to the cooperative-learning, group cohesion was improved.

El presente artículo se enmarca en una de las líneas de investigación y desarrollo definidas en el Convenio de colaboración entre la provincia de Misiones (Argentina) y la Universidad de La Rioja (España), cuyo objetivo es, entre otros, el análisis de la competencia digital de docentes para establecer una matriz de inicio y comprobar su evolución posterior. Se presentan los resultados obtenidos en un estudio realizado entre los años 2019 y 2020 en el que participaron 1.422 docentes de todos los niveles educativos. Para ello se realiza un análisis sobre la auto-percepción de la competencia digital de los docentes encuestados, tomando como referencia el marco común de competencias digitales del INTEF y empleando, para la recogida y análisis de los datos, el cuestionario ACDC (Análisis de Competencias Docentes Comunes). Los datos muestran baja percepción de las propias competencias digitales, especialmente en las áreas relacionadas con la creación de contenidos.

El objetivo del presente artículo es examinar el nivel de percepción de competencia digital del profesorado de Educación Infantil, así como analizar si se han producido diferencias en ese nivel antes y después de la Covid-19. Para ello, se aplicó como instrumento de recogida de información el cuestionario ACDC (Análisis de Competencias Digitales Comunes) a una muestra de 237 docentes de Educación Infantil. Asimismo, se realizó una entrevista semiestructurada a 9 profesoras de Educación Infantil para conocer en profundidad su perspectiva acerca de la formación recibida en TIC y su aplicación en las aulas. Los resultados obtenidos muestran que el nivel general del profesorado de Educación Infantil en competencias digitales es básico, y han sido conscientes de sus mayores carencias tras la época de confinamiento y docencia virtual forzada.

The COVID-19 outbreak opened a new scenario where teachers must have adequate digital literacy to teach online and to implement a current and innovative educational model. This paper provides the most relevant results obtained from a quantitative study in which 4883 Spanish teachers of all education levels participated to measure their digital skills, during the last school years. It also proposes a digital skills teacher training plan, taking the joint framework of digital skills of INTEF (Spanish acronym for National Institute of Educational Technologies and Teacher Training) as its reference point. The tool ACDC (Analysis of Common Digital Competences) was used for data collection. The results of descriptive analysis show, overall, the low self-perception that teachers have of their digital skills. In addition, this paper studies the relationship existing between the characteristics that define the population and the teachers’ digital skills level. This relationship is obtained through a multiple linear regression model. The study reveals that digital literacy is not a reality that has favored the teaching–learning process and that a training program is urgently required for teachers to reach optimal levels of digital skills, so as to undergo a true paradigm shift, ultimately combining methodology and educational strategies.

The intention of this article is to share research taken from the initial training of secondary education pre-service teachers, in which college professors from mathematics and social sciences education participate. There are numerous studies regarding curriculum integration. However, there is insufficient research that offers insight into how different forms of disciplinary thought may come together in the design and development in practice for an educational purpose. The research professors carried out a qualitative investigation, working with two pre-service teacher groups from the fields of mathematics and social sciences. We used a validated research instrument to analyze how interdisciplinary educational proposals are developed, and how said proposals can be used to understand our social reality. Through an integrated project, pre-service teachers addressed sexist hate speech taken from different contexts. They designed didactic proposals, with mathematical contents, which allow high school students to argue with data and create counter-narratives, which softened or eliminated the sexist hate speech Among the conclusions, we may emphasize the value of pre-service teachers identifying their strengths in order to use the mathematical and social thought processes in an autonomous and creative way, thereby developing the instrumental, functional, and formative character in mathematics education.