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The purpose of this paper is to propose and evaluate a proactive reflective activity for mathematics student teachers in which they consider mathematical content and its teaching in highly specific classroom situations.

The study was conducted in context of a mathematics Initial Teacher Education programme in the UK. Participants were invited from the whole cohort of student teachers to identify, script and reflect upon critical classroom incidents. In total, 12 such scripts were produced and then discussed by 17 student teachers in group and plenary sessions. Discussions were audio-recorded. Scripts and discussions were analysed according to four characteristics: consistency between stated pedagogical priorities and intended practices; specificity of the reflection to the classroom situation reported in the scripts; reification of pedagogical discourse; and, reification of mathematical discourse.

In the results, the authors exemplify student teachers’ insights that emerged from the analysis of the scripts through the typology of the four characteristics, and the authors observe that the student teachers’ insights mirror the complexity and richness of the mathematics classrooms they face. The authors’ examples and their evaluation through the aforementioned typology of the four characteristics illustrate the potency of student teachers’ participation in producing, and reflecting upon, individually and collectively, critical incidents of their inaugural experiences in the classroom.

As these activities take placein the context of teacher education, professional development or developmental research environments, an additional challenge is to generate robust and informative evaluation of teachers’ engagement with reflection and research on their practice. This study takes on this challenge in the context of a mathematics teacher education programme in the UK: the authors propose and evaluate a proactive reflective activity for mathematics student teachers in which they consider mathematical content and its teaching in highly specific classroom situations.

The examples and their evaluation through the typology of four characteristics illustrate the potency of student teachers’ participation in producing, and reflecting upon, individually and collectively, critical incidents of their inaugural experiences in the classroom.

In March 2020, with only two working days’notice the French national education system went online due to the coronavirus pandemic. This study explores the relationship between the move to distance learning, the teaching practices employed and the socio-economic context of the learners in French schools during this period. We ask how far the changes in teaching practices during the coronavirus crisis were influenced by the social context of teaching. And to what extent this context influenced the focus of the pedagogical continuity those teachers set up.

A review of the literature situates the study within the field of mathematics teaching practices. The study was carried out through a multidimensional analysis using multiple correspondences of the responses of 368 French secondary school mathematics teachers to an online questionnaire.

We found that the unprepared move to distance learning impeded the employment of dialogic practices. The socio-economic situation of the teaching was identified as a determining factor in the teachers' different interpretations of the term pedagogical continuity. Whilst those working in more deprived areas tended towards practices which focused on maintaining pupils' links with school, consolidation of knowledge and providing social/affective support, those teaching a more privileged public favoured tools and practices which allowed them to focus on the disciplinary content of their teaching.

The challenge of maintaining dialogic activities – teacher education to combat inequalities.

A quantitative study of mathematics teachers providing pedagogical continuity through distance learning for the duration of the crisis.

The purpose of this study is to examine what teachers notice in their own enactment of eight high leverage practices as well as the patterns of interactions between the teachers and their peers when participating in video-based lesson study.

Each teacher taught and uploaded video from one lesson to a platform, which allowed video annotation, for their lesson study team. There were nine lesson study teams. This study used a qualitative design to examine the teachers' comments on their own videos as well as the patterns in the comments between peers on lesson study teams.

Teachers noticed both positive instantiations as well as opportunities for growth in their enactment of: using and connecting mathematical representations, posing purposeful questions and supporting students' productive struggle. Analysis displayed a pattern of exchanges where peers coached, validated, empathized and pushed each other beyond their comfort zone as critical peers.

Although not all lesson study teams were made up of school-based teams and the teachers shared short recordings of their teaching, this research contributes to the understanding of how adapting lesson study by using video can help teachers notice their instantiation of teaching practices and peers can support and push one another towards ambitious instruction. Future research could extend this work by investigating the impact of video-based lesson study on teachers in isolated areas who may not have professional learning networks.

Video-based LS may help to overcome barriers to the implementation of lesson study, such as the challenge of scheduling a common release time for lesson observation and the financial burden of funding substitute teachers for release time.

The current realities of COVID-19 creates an opportunity for mathematics educators to reimagine teacher professional development (PD) in ways that push the field forward. In light of this disruption, the authors propose an innovative model of utilizing video-based Lesson Study (LS; Lewis, 2002) with peer coaching to offer PD opportunities with methodological considerations for both mathematics researchers and teacher practitioners. The authors document and analyze a collection of online LSs that were taught by a focal teacher and recorded for the peers in the LS group. Video-based LS PD structure allowed the authors to examine how they can leverage this online model of LS to analyze student thinking and learn about teaching rich tasks in an online environment using eight teaching practices. Through their paper the authors will detail the necessary features of online LS specifically using a video annotation tool like Goreact and how video can be used to enhance the professional learning of the mathematics teaching practices (MTPs; NCTM, 2014) and the noticing of student thinking (Jacobs et al., 2010; Sherin and van Es, 2009; van Es and Sherin, 2002, 2008). In addition, the authors will document the norms that were established in the online LS community that impacted collaboration of LS teams and developed strong peer coaching relationships. The online LS PD design also supports collaboration of teachers from varying contexts, promotes professional growth and demonstrates how educators might leverage peer coaches as social capital within their schools to develop teachers along the professional continuum.

This paper aims to present a novel pedagogical model that aims at bridging creativity with computational thinking (CT) and new media literacy skills at low-technology, information-rich learning environments. As creativity, problem solving and collaboration are among the targeted skills in twenty-first century, this model promotes the acquisition of these skills towards a holistic development of students in primary and secondary school settings. In this direction, teaching students to think like a computer scientist, an economist, a physicist or an artist can be achieved through CT practices, as well as media arts practices. The interface between these practices is imagination, a fundamental concept in the model. Imaginative teaching methods, computer science unplugged approach and low-technology prototyping method are used to develop creativity, CT, collaboration and new media literacy skills in students. Furthermore, cognitive, emotional, physical and social abilities are fostered. Principles and guidelines for the implementation of the model in classrooms are provided by following the design thinking process as a methodological tool, and a real example implemented in a primary school classroom is described. The added value of this paper is that it proposes a pedagogical model that can serve as a pool of pedagogical approaches implemented in various disciplines and grades, as CT curriculum frameworks for K-6 are still in their infancy. Further research is needed to define the point at which unplugged approach should be replaced or even combined with plugged-in approach and how this proposed model can be enriched.

This paper presents a pedagogical model that aims at bridging creativity with CT, collaboration and new media literacy skills.

The proposed model follows a pedagogy-driven approach rather a technology-driven one as the authors suggest its implementation in low-tech, information-rich learning environments without computers. The added value of this paper is that it proposes a novel pedagogical model that can serve as a pool of pedagogical approaches and as a framework implemented in various disciplines and grades. A CT curriculum framework for K-6 is an area of research that is still in its infancy (Angeli et al., 2016), so this model is intended to provide a holistic perspective over this area by focusing how to approach the convergence among CT, collaboration and creativity skills in practice rather than what to teach. Based on literature, the authors explained how multiple moments impact on CT, creativity and collaboration development and presented the linkages among them. Successful implementation of CT requires not only computer science and mathematics but also imaginative capacities involving innovation and curiosity (The College Board, 2012). It is necessary to understand the CT implications for teaching and learning beyond the traditional applications on computer science and mathematics (Kotsopoulos et al., 2017) and start paying more attention to CT implications on social sciences and non-cognitive skills. Though the presented example (case study) seems to exploit the proposed multiple moments model at optimal level, empirical evidence is needed to show its practical applicability in a variety of contexts and not only in primary school settings. Future studies can extend, enrich or even alter some of its elements through experimental applications on how all these macro/micromoments work in practice in terms of easiness in implementation, flexibility, social orientation and skills improvement.

The added value of this paper is that it joins learning theories, pedagogical methods and necessary skills acquisition in an integrated manner by proposing a pedagogical model that can orient activities and educational scenarios by giving principles and guidelines for teaching practice.

This study aimed to explore teachers' learning processes through a hybrid cross-cultural lesson study (LS) because little is known about the learning process through this novel and promising LS approach.

This cross-cultural LS lasted over six months focusing on developing a research lesson (RL) related to linear functions/equations by addressing a commonly concerned student learning difficulty. The data collected were lesson plans, videos of RLs, cross-culture sharing meetings and post-lesson study teacher interviews. A cultural-history activity theory (CHAT) perspective (Engeström, 2001) was used as a theoretical and analytical framework, and contradictions were viewed as driving forces of teachers' learning. The data were analyzed to identify contradictions and consequent teachers' learning by resolving these contradictions.

The results revealed four contradictions occurring during the hybrid cross-cultural LS that are related to the preferred teaching approach, culturally relevant tasks, making sense of the specific topic and enactment of the RL. By addressing these contradictions, the participating teachers perceived their learning in cultural beliefs, pedagogical practice and organization of the lesson.

This study details teachers' collaborative learning processes through hybrid cross-cultural LS and provides implications for effectively conducting cross-cultural LS. However, how the potential learning opportunity revealed from this case could be actualized at a larger scale in different cultures and the actual impact on local practices by adapting effective practices from another culture are important questions to be investigated further.

This study expands teacher learning through cross-cultural LS by focusing on contradictions cross-culturally as driving forces.

The study explored the impact of the King and Queen of Mathematics Initiative (KQMI) in promoting students’ interest in learning mathematics and improving their achievement. The specific objectives of the study focused on the impact of the initiative in promoting interest in mathematics, assessing the contribution of the initiative to students’ achievements and investigating challenges encountered by the initiative.

The study used a case study design with a mixed-method approach. One ward secondary school was involved. The sample size was N = 79, where 77 were grade three students in a science class and two teachers. Data collection involved documentary review, observation and interviews. Data analysis employed both content analysis and a dependent t-test to determine the effect size of the initiative.

The findings revealed that KQMI had a significant impact on improving performance in mathematics among students (t (71) = −7.917, p < 0.05). The study also showed that male students improved their performance more than their counterparts throughout the KQMI. The mathematics teacher revealed that students still need assistance to solve mathematical questions with different techniques to develop the expected competencies.

The initiative was conducted only in one school, limiting the findings’ generalization. Also, the innovation faced different challenges, such as accessing adequate resources and students with little knowledge of mathematics, which the initiative aimed to address.

Pedagogical innovations enhance the promotion of students’ interest in learning mathematics and hence improve their performance. Also, through pedagogical innovations, teachers improve their teaching skills and practices from students’ feedback.

The KQMI is a new pedagogical innovation modified from the existing innovations such as game-based method, task design, mobile learning and mathematics island.

The purpose of this study was to explore middle and secondary mathematics preservice teachers' (PST) perceptions of the benefits, challenges and impacts of implementing lesson study.

This paper presents a single case study in the university context. Embedded units of analysis included a group of middle and a group of secondary mathematics PSTs, who were in the internship year of a teacher preparation program.

This paper presents several perceived benefits, challenges and impacts according to PSTs. PSTs indicated benefits included their focused student observations and their collaboration in lesson design. Perceived challenges included observing as a nonparticipant observer and aspects of planning. The different impacts occurred in three phases: planning, observing during teaching and reflection.

First, the study participants included a small group of middle and secondary mathematics PSTs from one university in central Texas. Second, the PSTs in this study were not able to reteach the lesson, which may have influenced their perceptions.

Mathematics teacher educators could use insights from this study as they implement lesson study or other field experiences to support PSTs in their growth as mathematics teachers.

This paper examines PSTs' perceptions, which could benefit mathematics teacher educators as they consider how to introduce or implement lesson study with PSTs.

The purpose of this study is to propose a model for integrating microgames in teaching primary Education for Sustainable Development (ESD) and illustrate the application of the proposed model in teaching integrated mathematics, arts, technology and language in primary ESD.

The model was based on conceptual mapping from the reviewed literature and reflection from their teaching experience.

The model and the related teaching-learning activities have been proposed.

The proposed model enhances the use of microgames in an interdisciplinary teaching framework.