The coronavirus disease 2019 (COVID-19) pandemic caused a worldwide unexpected interruption of face-to-face teaching and a sudden conversion to emergency remote teaching (ERT). In this exploratory study, a sample of 244 secondary mathematics teachers was considered to analyze their perception of their readiness to ERT during the COVID-19 pandemic based on their technological pedagogical content knowledge (TPCK), their previous training in digital teaching tools, their level of digital competence for teaching mathematics, and their adaptation to ERT. An online questionnaire was applied, and the answers were quantitatively analyzed. Given the use of a large number of digital resources and the high percentage of self-developed materials using educational software, secondary mathematics teachers reflected adequate digital competence and TPCK for teaching mathematics. The sudden transition to ERT forced teachers to slow down the pace of teaching and to reduce the content taught. Significant differences were observed based on gender and age with respect to teachers’ perception of their adaptation to ERT. Despite the positive influence of previous training on their perception of readiness for ERT, in general, teachers recognized that they need more training. The demand for preparation for video editing and online quiz composition can be considered for the design of future training programs.

The emergency caused by coronavirus disease 2019 (COVID-19) has revealed significant deficiencies in citizens’ statistical and probabilistic knowledge and in people’s understanding of mathematical and, particularly, stochastic models, which may lead to wrong personal or institutional choices, with critical consequences for the entire population. Mathematics teachers play an essential role in ensuring citizens’ statistical and probabilistic literacy. This study aimed at analyzing the pedagogical content knowledge that teachers utilized to teach statistics and probability through considering contextualized situations. In order to accomplish this purpose, fourteen secondary mathematics teachers participated in a formative and evaluative activity that was designed using the transformational professional competence model. During each evaluative phase, a group discussion was conducted. Participants were asked to reflect on their actions when promoting statistical and probabilistic literacy by considering a range of topics (data science, didactic resources, and methodological approaches) that were addressed during the training phase. A mixed, quantitative–qualitative methodological design was used for the data collection and analysis, which involved open-ended, multiple-choice, or scale-type questions that were moderated by the Metaplan® approach and the Mentimeter® software. The main ideas that emerged from the results indicated the need to reinforce the use of real data, technological resources to handle the visualization of information, the elaboration of different types of graphs besides the classical ones, and the formulation of hypotheses. The initial diagnosis will continue within a research and practice community made up of teachers and researchers. Therefore, a working proposal based on examples and models contextualized within the COVID-19 crisis is presented in order to enhance secondary mathematics teachers’ pedagogical content knowledge.

Los procesos estadísticos comienzan con la selección de la variable de estudio y la recogida de los datos. Para organizar los datos recogidos es esencial llevar a cabo un recuento de los valores observados. En este artículo se propone una aproximación al recuento mediante el análisis de las categorías observadas y se discuten distintas técnicas de recuento, sus formas de representación manipulativa o pictórica y su conexión con las tablas de frecuencias. Por último, se refiere un experimento didáctico llevado a cabo con estudiantes para maestros sobre el manejo de las representaciones manipulativas de los recuentos como paso previo a las gráficas estadísticas manipulativas.

The correct labeling of seafood is important to protect nature and the rights of consumers. Given the certainty that the resources of the sea are not inexhaustible, only strict regulations and the implementation of sustainable fishing systems and reliable and traceable marketing systems can help ensure the long-term sustainability of fishery resources. Detecting mislabeling and seafood fraud is a useful resource for improving students' motivation and developing active learning methodologies in higher education. In the present study, we have proposed to the students a lab exercise consisting of exploring 25 different commercial cephalopod products from three major European supermarkets by using DNA barcoding and analyzing the results under the framework of EU and Spanish regulations. The problem is connected with the last theme (traceability) of the Conservation Genetics and Breeding course with the aim of providing students with a practical research lab experience about a real problem before going deeper into more theoretical contents. In this way, they can use the knowledge and the skills they acquired previously to better comprehend and think critically about the problem.Findings from students' answers to a survey revealed that the use of this approach generates useful information for communities, increases curiosity and feelings of benefit, and leads to high levels of satisfaction with lab practices compared with those in other courses. In conclusion, lab exercises focused on seafood control, in addition to being viable, can be used as a tool in classes to improve students' commitment to higher education. K E Y W O R D Sbarcoding, cephalopods, lab experiences, seafood control, university

Initial teacher education programmes provide student teachers with the desired competences to develop themselves as teachers. Although a generic framework for teaching competences is available covering all school subjects in Spain, the initial teacher education programmes curriculum does not specify which competences secondary mathematics student teachers should acquire during their initial teacher education. This explains why this study aimed at developing and validating a competence framework for secondary mathematics student teachers in Spain. Building on existing models and international frameworks, a preliminary list of competences was drawn up. The validation process was based on a Delphi method. Besides experts expressed their opinions about the formulation of the chosen competences. A comprehensive framework of thirtythree competences for secondary mathematics student teachers could be validated.