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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 paper is to present a brief exposure to the development of the threshold concepts framework (TCF), the intention being to illuminate for interested readers a broader landscape of research activity than that perhaps conveyed by the individual contributions to this special edition.

There is first an account of how the notion of a “threshold concept” was presented by Meyer and Land in their seminal 2003 paper, and a clarification of some terminology used by them at that time to describe the (confusing for some) “characteristics” of such a concept. A discursive account, with examples, follows on how analyses for, and of, threshold concepts might proceed, and how findings might provoke a reappraisal of associated learning and teaching practices. Towards this end a contemporary pedagogical perspective is introduced based on the construct of integrated threshold concept knowledge (ITCK) as proposed by Meyer and Timmermans (2016). Reference to a detailed case study illustrates the practical dynamics of generating ITCK; specifically in the context of a third-year engineering course embedding the threshold of “critical flow”. Activities and processes, transferable to other discipline contexts, are described that yield particular elements of ITCK (different constituent “types of knowledge”) in relation, in this case, to “critical flow”. A final consideration is the “representation” of “critical flow” for pedagogical purposes in the form of a metacognitive activity for learning and formative assessment purposes that is, again, adaptable to other discipline contexts.

There are no specific findings in this paper as its purpose is to provide a condensed review of the development of the TCF.

This value of this paper is that it provides a contemporary expert exposure to the development of the TCF by the originator of the notion of a threshold concept.

This chapter outlines the importance of enhancement courses, particularly in mathematics, to the preservice landscape in England. These programs occur after an individual has completed a degree but before admittance to preservice teacher education. The pedagogies used in these programs are characterized as both pedagogies of teacher preparation and of selection for preservice. The learning that takes place in these programs is an under-researched area. The chapter addresses that issue by specifying, analyzing, and justifying the pedagogies of teacher preparation deployed in the context of one mathematics enhancement course (MEC). We draw on international research to argue that there is a specific body of knowledge for teaching their subject area, which all teachers need to generate. In terms of empirical work and personal scholarship, the chapter is based primarily on the scholarship and practice of the first author, Clarke, between 2008 and 2014. We present an exemplar of teaching, following the principles of the pedagogies of preparation in place for the MEC. These pedagogies aim to develop for student teachers a profound or “relational understanding” of fundamental mathematics, aiming for the re-experiencing and re-construction of an aspect of mathematics, which they first learned as young grade school students. We argue that a distinctive form of mathematical knowledge is thus produced in and through the teaching processes. In the final part of the chapter, we outline the conditions in which these pedagogies might be adopted in other contexts, arguing that they represent good practice in teaching subject knowledge in all teacher education programs.

The article presents the construction of a conceptual framework, which is rooted in mathematics education and in dialogic analysis. It aims to analyse how dialogic interactions contribute to constructing teachers' mathematical problem-solving knowledge. The article provides one example of this analysis.

The networking between a content analysis framework (Mathematical Knowledge for Teaching Problem-Solving) and a dialogic analysis framework (Lesson Study Dialogue Analysis) is presented. This leads to the construction of indicators to quantitatively and qualitatively code our data: five meetings during one lesson study cycle of a group of eight Swiss primary teachers, working on the teaching of problem-solving.

This article does not present empirical findings. The developed conceptual framework is the result presented.

The presented framework allows modelling, on the one hand, the knowledge relating to the teaching and learning of problem-solving and, on the other hand, the analysis of interactions during a lesson study. The article does not contain the results of the research.

The use of our framework can contribute to teacher educators' and facilitators' training by highlighting which types of intervention are favourable to the development of knowledge.

Our analysis involves a “systematic coding” approach. It allows a fine-grained analysis of the interactions in relation to the evolution of knowledge. Such a systematic approach offers the possibility of questioning the coded data in various ways.

The purpose of this paper is to report on how a grade level team in a Singapore primary school used lesson study to mediate the implementation of the English language national curriculum. It aims to explore how this process had mobilised different teachers’ knowledge, challenged their beliefs of teaching and student learning, and created impact on their learning and knowledge.

An interpretive qualitative study using a case study methodology was employed. Data collected included participant observations and individual interviews. Transcripts of lesson study discussions were open coded for the content of teacher discourse and the sources of influences on the teachers’ reasoning and action.

The findings indicate that each stage of the lesson process engaged teachers’ deliberative discourse differently and constituted their building a common inquiry stance into the problem of student learning in reading and writing, moving away from a lesson-based view to embracing a curriculum-based deliberation, and challenging their shared assumptions and enabling their learning to adopt the students’ lens in improving the research lesson.

This study provides an illustrative case on how teachers’ talk about work practices in lesson study mediated teacher learning in a group context. The study established the importance of an interconnected view of teacher interaction in lesson study that factored in the consideration of the influences at the teachers’ level and at the school’s level that enabled and/ or impeded a broader consideration of practice and richer conditions for the mentoring of novice teachers in the team.

As noted in the introduction, this book is concerned with resistance to professional guidance that teachers may evince as they hold rigidly to an ‘inherited script’ that undermines the flexibility needed to respond to the emergent needs of learners. We propose that this resistance, and the sense of excessive entitlement that propels it, are responses to fundamentally incoherent theorizations of learning that form the basis for unworkable pedagogical models promulgated by reform-oriented teacher educators. Inherited scripts, therefore, are the only working models of pedagogy available to teachers, torn by the need to make sense of their own teaching while fending off the incomprehensible demands of their academic mentors. Our critique of learning theory is based on Thomas Kuhn's well-known perspectives on preparadigmatic science. Our thesis is that the various branches of learning theory reflect incommensurable interpretations of learning. Thus, any synthesis of perspectives – for instance, in reform pedagogies – is necessarily unstable. We support this critique through an examination of a lesson in an afterschool philosophy club illustrating lapses in reform-oriented pedagogy that trace back to incoherent theoretical framings.

The purpose of this paper is to illustrate the methodology used by the authors to describe the enacted object of learning, a methodology where data production and analysis is rooted in a theorisation of pedagogy. The authors share how the authors used this methodological approach to provide a comprehensive description of the enacted object of learning and in so doing the authors hope to make a methodological contribution to the field of learning study. The lesson analysis foregrounds the importance of “evaluation” in pedagogic practice, and thus a key element of pedagogy. Tools from variation theory are incorporated into this broader approach that the authors suggest illuminates the enacted object of learning. The authors offer this approach as a methodological contribution to the development of research in and on learning study.

A case study approach was adopted as the key research methodology in this study. The four teachers who participated in this study were purposively identified since in the first instance the design of the study warranted that the teachers who participated were teaching mathematics at grade 10. Second, the need to be purposive in the sampling strategy employed was based on issues around cost, logistics and convenience.

While learning study foregrounds the importance of examining the constitution of the enacted object of learning, the contention is that it is through a focus on evaluation that the authors are able to fully describe what is constituted as mathematics with respect to the enacted object of learning. Analysis of evaluation thus adds to the description of the enacted object in critical ways.

Within the domain of learning study, this paper provides a novel way of engaging with a lesson transcript in an attempt to fully describe what comes to be constituted as the enacted object of learning. This is achieved by combining the notion of evaluative events and authorisation on one hand and variation theory on the other.

Contemporary comparative pedagogical discourses are becoming increasingly popular and strongly modify the policy and practice of education worldwide. Intensification of empirical studies naturally leads to the decrease of the research interest in purely methodological issues that stand apart from practical application of comparative analysis and comparative method. This chapter attempts to fill in the methodological lacuna in the study of comparative method and its potential when doing research determined by the ideological context. The authors state two main research questions, the first one concerning the potential of comparative analysis for the detection of the technologies and facts of ideological indoctrination and the second one focusing on its functional possibilities in revealing the transformations in the vision of pedagogical reality by the theorist under the influence of the complete change of the state’s ideology. Statistical analysis of the units, content and comparative analysis, quantification, interpretation, and analogy were used for the comprehensive comparative study of the small volume of text by A. S. Makarenko Beseda s rabochim aktivom na zavode ‘Sharikopodshipnik’ (Conversation with Working Active Members at the Plant ‘Ball-bearing’) with comments published in Russian and its analogue issued in German by Makarenko-Referat laboratory and two text versions of “Zadachi i metody narodnoj shkoly” (“Objectives and Methods of National School”) by P. P. Blonsky issued under the same title in 1916 and 1917. General outcomes of the research vividly demonstrate how micro- and macro contexts may widen the horizons of the comparative method and significantly differentiate comparative research schemes.

Instructional coaches are pivotal to articulating the agenda of system-wide reform, yet their role remains largely unexamined. Their approach with educators is contextually situated within the schooling system in which they work to reflect the historical and sociocultural system influences. Given the downward trend in New Zealand's international test scores for mathematics, it is timely to review the role of instructional coaches.

In this paper, the authors draw on qualitative data derived from interviews with experienced coaches to investigate how they brokered the vision and pedagogy of a system-level reform in mathematics. Using a sensemaking lens we specifically examined the collective stories they employed as explanatory tools.

The analysis revealed that coaches drew on factors from school and classroom contexts of professional development practice and from collective beliefs about effective practice, alongside the project materials incorporated in the design of the project. System-level stories of reading reform influenced coaches' leadership of professional practice in implementing the New Zealand Numeracy Development Project, a progressively scaled-up professional learning and development initiative designed to improve teacher knowledge and pedagogy.

This paper highlights the critical importance of coaches' knowledge and expertise, the complexity of the implementation process and the coherence of the infrastructure that supports them in instructional reform.

Amidst a worldwide concern with teacher quality, recent teacher reforms often focus on how to certify teachers, how to evaluate teachers, how to recruit the best and brightest people to be teachers, and how to fire bad teachers. The political discourse of these policy reforms oftentimes depicts teachers as largely inactive transmitters of knowledge and does not recognize the agency they have in affecting standards. Yet, such a narrow framework may suppress teacher pedagogy, practices, and also teacher beliefs. In this chapter, we seek to understand the extent that two types of math teacher beliefs – traditional and constructivist orientations – are related to national cultural factors. In doing so, we test both “culturist” and “neo-institutional” hypotheses by observing how those beliefs vary across different nations.