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The purpose of this paper is to provide an introduction of the papers in the current issue.

By revealing contrasting features of alternative theories of learning, this paper offers a contribution to the on-going discussion about the role of learning theory in Japanese lesson study and its global adaptations.

Attempts to theorize lesson study in contrast to the theory-based learning study reveal a fundamental difference in the learning theories used to underpin this task related to the different world views on which they are founded.

This paper review provides an overview of the insights into lesson and learning studies provided by the authors in this issue of the journal.

The purpose of this paper is to provide a review of the contributions to the current issue.

The paper is intended to stimulate a discussion about the nature of lesson study (LS), its use in initial teacher education (ITE) and the role of learning theory in the design of the research lesson.

The term LS was first used to describe a Japanese LS. It was seen as career-long teacher-initiated collaborative professional development through which teachers researched lesson designs to teach problem-solving and develop independent thinking skills in their students. As it has been adopted across the world, it has been adapted. This raises questions about the form and effect of LS in its various forms, about the role of learning theory in the design of research lessons and about the appropriateness of introducing LS in programmes of ITE.

This editorial review provides an overview of the insights and issues identified by the authors in this issue of the journal.

The purpose of this article is to discern and discuss dimensions of variation opened by the articles in the issue 9(2) of the International Journal of Lesson and Learning Studies (IJLLS).

The approach draws on the path of teachers learning through lesson and learning studies presented as a pattern of variation forming a temporal sequence.

Attention is drawn to the importance of being explicit about the theory of learning informing lesson and learning studies and how its implementation leads to teacher learning.

The depiction of the path of learning through lesson and learning studies is original.

The purpose of this paper is to highlight similarities between Japanese lesson study, Chinese lesson study and learning study.

This editorial review is intended to stimulate a discussion about a critical aspect of both Lesson and learning studies exemplified by the texts published in issue 6.2 of this journal.

The author identifies neriage, the comparison and discussion phase of Japanese lesson study, as a critical aspect of both Lesson and learning studies and emphasises that both involve research leading to teachers learning what makes effective lessons possible. Attention is drawn to the importance of being explicit about the theory of learning behind Lesson and learning studies and how its implementation leads to teacher learning.

This editorial review provides a framework for evaluating the quality of lesson and learning studies in educational institutions.

The purpose of this paper is to report on a study of teacher learning through participation in sustained collaborative subject-based professional development groups supported by a facilitator, using a model of teachers’ conceptions of teaching developed from phenomenography to identify what are the critical features of teaching that must be present if teachers are to learn, and using a variation theory of learning to explain how they learn.

The groups engaged in cycles of lesson study action research to improve the learning outcomes of their students. The authors intended to engage the teachers in an exploration of their own and their students’ experiences to understand the relationship between the enactment of the research lesson(s) and the educational outcome. The authors collected over 157 hours of video recorded teachers’ meetings involving 15 groups, 47 hours of follow-up interviews and 97 hours of lessons. In this paper the authors report on the progress of one of those groups. The authors analysed the transcripts to see what, if any, dimensions of variation were opened in discussion, affording the opportunity for learning. The authors sought the simultaneous juxtaposition, the bringing together, of threads that have entered the discussion that have the potential to open dimensions of variation – to add critical features to the “what” and “how” dimensions of teaching.

The authors identified necessary conditions for teacher learning through collaborative subject-based professional development groups. Any member of the group might bring this about. The facilitator or coach might be expected to perform this role in the group, and to sustain the group’s attention on the critical features of the object of learning.

The paper provides valuable insights into strategies to change teacher perspectives from a transmission oriented to a construction oriented view of teaching in the face of new and challenging curriculum demands.

In the work reported here the authors have used variation theory to design lesson study. This is rather different from a learning study where the teachers engaged in the study use variation theory to design their research lesson(s). It is a learning study of teachers’ professional development.

The purpose of this paper is to introduce the papers in the current issue and invite comments from the readers of the journal.

This editorial review is intended to stimulate a discussion about the effect of iterative models of professional development, the meaning of student-centred learning, valid evidence of teachers’ learning through collaborative professional development, teachers’ responses to top-down innovation and the cultural script of teaching, all of which are focal in the texts published in Issue 6.3 of the journal.

The boundaries between lesson and learning studies, top-down and bottom-up innovations, teacher learning and teacher participation and cultural scripts are far from distinct and for good reasons.

This editorial review provides an overview of the insights and issues identified by the authors in this issue of the journal.

The objective of this editorial is to focus the author’s attention on the nature of pedagogical content knowledge (PCK) and its development through Lesson Study.

Discussion in the editorial draws on papers in this issue, synthesized through the lens of PCK and supported by evidence from relevant literature.

Teachers' engagement in lesson and learning study action research has the potential to develop their PCK in two ways: they gain insights into the ways their students experience objects of learning with reference to their own content knowledge, and they gain insights into the ways students should become able to experience objects of learning in more powerful ways identified by the teachers. The papers in the current issue elaborate on the contextual development of PCK from multiple perspectives: STEM teaching, cross-cultural lesson study, inclusive education and cultural competence through bansho.

The studies presented in this issue allow the readers to see PCK through different lenses.

Developments in acrylic polymer technology over the past few years have led to the possibility today of formulating total paint systems for wood using water based all‐acrylic coatings.

The purpose of this paper is to address two questions: Can student teachers use variation theory to design and review lessons? Can exposure to variation in designs for lessons with the same intended object of learning develop student teachers understanding of design?

The student teachers were undertaking an English‐medium education degree, a feature of which was peer teaching, with the teachers collaborating planning, teaching and reflecting on lessons. A sample of individual student teachers’ written reflections on the design and effect of 15 lessons involving seven objects of learning was collected and analysed using a comparative method. The lesson designs in terms of the pattern of variation and critical aspects afforded, and the teachers’ evaluations of the lessons, are described.

Four critical cases show how variation in the enacted object of learning created by the student teachers in their lessons, and in the lived object of learning of their students, impacted on the lived object of learning to teach of those student teachers. In the design and enactment of their lessons, student teachers used variation to effect in ten out of 15 lessons taught.

The use of the variation framework appeared to be successful in varying what had previously been invariant for many student teachers, who had themselves been educated in teacher‐centric classrooms. Its use offered a systematic, evidence‐based approach to designing, teaching and reviewing lessons, and, therefore, an opportunity to integrate the roles of teacher and learner in pursuit of the object of learning. By specifying the variation framework as a design tool, and not a method of teaching, the opportunity is opened up for further critical investigation of its usefulness in initial teacher education.

The purpose of this paper is to report how teachers have engaged in a Learning Study to develop, from the experience of their students, an object of learning which has important implications for pedagogy.

This paper uses a Learning Study of the economic concept of price over three cycles with varying groups of high school students which explored the effect of context and cognitive bias on the learners’ understanding of the object.

The object of learning has the following critical aspects: the attributes of the commodity, the exchange mechanism (e.g. the market structure) and consumer rationality. This finding enriches the critical aspects – supply and demand – of the object of learning price found in the current Learning Study literature and current high school textbooks.

Making explicit the variation between mainstream and behavioural models of economic phenomena helps learners to see what is critical – to see the potential and the limitations of those models for understanding the world and acting within it. Without sight of an alternative model it is impossible for the learner to distinguish between the mainstream model of supply and demand and what it purports to describe. Without behavioural dimensions, economics may not appear relevant to consumer decision-making.