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It has been suggested that, if pedagogical and learning theories are integrated into lesson and learning study, a systematic construction of pedagogical knowledge is possible (Elliott, 2012). In this Special Issue, it is reported how theory and theoretical concepts can add value to lesson and learning study. The purpose of this paper is to introduce the Special Issue and explore the above concepts.

This paper presents the Special Issue papers thematically and the main issues are discussed.

Together the papers suggest that pedagogical theories and theorizing practice may contribute to the improvement of teachers’ practical knowledge and knowledge about teachers’ professional tasks and objects. Furthermore, some theories and theoretical concepts hitherto under-exploited in lesson and learning study are presented and discussed from the point of view how these might improve the quality of the studies.

As a total, this collection of papers bring out issues about the role of pedagogical and learning theories and how these could inform lesson and learning study.

The purpose of this paper is to discuss two theoretical frameworks, Pirie and Kieren’s work (Pirie and Kieren, 1994) and variation theory of learning (Marton, 2015) in relation to lesson/learning study and mathematics teaching and learning.

The point of departure is the article: “Folding back and growing mathematical understanding: a longitudinal study of learning” (Martin and Towers, 2016) where it is demonstrated how Pirie and Kieren’s work (1994) and particularly the notion “folding-back” can be used as the theoretical framework in lesson/learning study. By dealing with similar arrangements and different theories, the two frameworks are contrasted.

It is suggested that the theory appropriated must be in resonance with the aim and focus of the study the theoretical perspective taken since it has implications for what becomes the focus of the process and subsequently the results of lesson/learning study.

This paper contributes to the discussion about how a more theory-informed lesson study and a broader theoretically framed learning study would improve and change the scope and progress of the two.

Although CLS has been implemented in China for over a century, it is barely known to educators internationally. The purpose of this paper is to synthesize the salient characteristics of Chinese lesson study (CLS), introduce the major themes of this special issue, and invite dialogues about the theories and practices of CLS.

The authors of this editorial paper conducted an extensive literature review on CLS, analyzed the contents and methods of the existing research categorically, compared CLS with other models of LS globally, and present this special issue articles and their major contributions thematically. The theoretical framework of the paper relies mainly on cultural theories and theories on research paradigms such as improvement science, which explain why and how CLS functions in Chinese education system over time.

Existing studies suggest that CLS is a deliberate practice for developing instructional expertise, a research methodology for linking research and practice, and an improvement science for instruction and school improvement system wide. In addition to the theorization of CLS, this special issue also introduces some adaptations of CLS outside of China such as the USA and Italy.

This paper, for the first time, spells out some salient features of CLS, and discusses issues in adapting CLS in other parts of the world. It will enrich the understanding of LS theories and practices in China and promotes trans-cultural development of LS internationally.

The authors aim to determine the effects of Global Lesson Study (GLS) – a two-year, one-cycle program defined as “international cooperative lesson study through international exchange among teachers using ICT” – on intercultural competence for lesson study based on pre- and post-survey conducted for Japanese teachers.

In accordance with the GLS program, mathematics lesson studies on mathematics between Japanese and Singaporean elementary school teachers were conducted over a two-year period. Questionnaire surveys on intercultural competence for lesson study was conducted using 7-point Likert scale and descriptive questions with Japanese teachers (N = 5). Analysis of Wilcoxon's signed rank test and correlation analysis were conducted.

Followings are identified as the effects of GLS for Japanese teachers: (1) Japanese participants felt improvement of their competence in areas of attitude, internal outcomes and outward impact. (2) Participating in a GLS led to the improvement of Japanese teachers' qualities and abilities for subject teaching related to mathematics education. (3) Improvement of intercultural competence for lesson study was related to each other, and GLS led to improvement of these competences. (4) It was meaningful to have a two-year period to assimilate and adjust to independent experience of the host and guest.

The GLS led to teacher empowerment among this sample, not only as cooperative research, but also at the individual level of teachers where participants continued to develop lessons based on the GLS learning after study completion. This has important implications for the implementation and dissemination of the GLS.

Since its introduction in early 2000s, lesson study has been viewed as a promising and powerful approach to professional development and school improvement in Indonesia. The purpose of this article is to discuss the historical development and unique perspective of lesson study at Indonesia University of Education.

Through a systematic review of the related literature to analyse practitioners and official point of views regarding adaptability and sustainability of the lesson study effort, the author portrays the progress and challenge faced by practitioners of lesson study in Indonesia. The author also points out its “existence proof” through the “story of adaptation” in order to describe the “steady change and improvement” and the “local proof route” in practice.

The review shows consecutive changes that started from reforming student learning, teachers’ learning and empowering the learning community, though reaching the core of instructional improvement is indeed challenging.

In this paper there are two substantial lessons learned, i.e. teaching practice and reflective practice are explicated to underlie the proposed framework of substantive aspects of lesson study. Key factors are also highlighted to develop further a valuable and sustained teacher education and development in Indonesia.

The purpose of this paper is to examine an Iranian mathematics lesson through the eyes of Japanese educators, and the critiques of Iranian teachers for raising the quality of teaching. In this paper, the Japanese lesson study process is considered as an approach to raising the quality of teaching.

Qualitative methods including pre-lesson planning, peer observation of the lesson, post-lesson discussion, and semi-structured interviews with the participants of the post-lesson discussion meetings in Iran and Japan were employed for data collection. A detailed description and analysis of the lesson is provided for deep understanding of students’ mathematical communication in the class and teachers’ points of view in the post-lesson discussions about raising the quality of teaching.

The findings are intended to clarify the significant influence that cross-cultural analysis has exerted on raising the quality of teaching and developing a culture of transnational learning that supports teachers to design appropriate learning tasks, to conceptualize mathematical phenomena, and to provide mathematical communication which encourage students to participate more in classroom activities.

This study provides a transnational learning opportunity for Iranian teachers to learn from Japanese educators how to deliver evidence-based analysis of a lesson for raising the quality of teaching in practice, look culturally and differently at what actually goes on in the classroom, and localize lesson study as a global approach to the “science of improvement.” However, issues to be considered in future studies include how such “small changes” can be linked together in local communities to expand the improvement from bottom up, and how to facilitate collaboration with the global community to expand transnational learning.

Traditionally in Iran, there are a variety of teacher training programs but there are no examples of lesson study like those that take place in Japan as a model of practitioner inquiry for raising quality of teaching. Hence, it can be said that Japanese lesson study may provide a new approach of transnational learning in the Iranian education context for building a “science of improvement.”

In the case of Iran, especially at the elementary school level, teachers do not have enough preparation or experience. Therefore, raising the quality of teaching through lesson study that has an actual impact on teacher and teaching quality and developing a “science of improvement” has become a pressing concern in national and international contexts.

The case study shows that the transfer of the Japanese model of lesson study plays a significant role in harnessing the potential of students and teachers as well as teachers themselves by improving teaching. Efforts by teachers to communicate and learn from each other’s strengths, in fact lead to the realizing of the students potential and thinking process. In particular, it helps supply more open-end and in-depth task learning, which anticipates student thinking, understanding, recognizing and questioning.

The first-aid courses organized by the Youth Red Cross Carinthia (Austria) had a quality problem, necessitating a professionalization in teaching and time structure. This research aimed to enhance the quality and effectiveness of these courses by implementing modified lesson studies with non-professional trainers. The paper presents the realization process, empirical research and results obtained by applying the first-aid curriculum.

Around 22 lesson study first-aid courses (14 classes with 2 cycles, 8 with 3 cycles) were conducted and evaluated in different Austrian school types. An observation sheet was created to evaluate attention and competencies. Interviews were conducted with both teachers and students to validate the results.

The research findings demonstrate that lesson studies can significantly enhance the quality and effectiveness of first-aid courses. Inexperienced and experienced first-aid teachers significantly improved their teaching skills. Newly educated first-aid teachers showed substantial improvement, leading to the introduction of an induction period and coaching opportunity within the Youth Red Cross Carinthia.

This is the first lesson study conducted in a non-academic context. It highlights the adaptation process of Carinthian first-aid courses. It illustrates how lesson studies impact lesson clarity, instructional variety, student engagement in the learning process, student outcome, student feedback and teaching effectiveness in a non-academic context. It contributes to the literature on the application of lesson study in first-aid education and provides insight into the benefits of this approach in enhancing the quality of first-aid training.

The purpose of this paper is to explore the coaching and mentoring supervision of the Lesson Study to enhance preservice mathematics teachers' research competencies.

The researcher employed a multi-case study design to describe the internship experiences of practicing coaching and mentoring supervision while preservice teachers engaged in Lesson Study. A total of six preservice teachers were the samples, and they were teaching six lessons. A classroom observation evaluation form was used to collect data from 60 observers, with a proportion of 10 observers to each sample to assess and provide feedback on the samples' research competencies. This was followed by 12 individual, semi-structured interviews using interview protocol. The participants included 60 Lesson Study group members and six mentors from the three research schools, together with the samples' internship advisors from Suratthani Rajabhat University, totaling to 72 assessors. Data were examined using the thematic analysis method.

The results of 60 observation evaluations revealed that coaching and mentoring supervision of Lesson Study can develop samples' research competencies in four capabilities, namely, instructional planning, classroom management, instructional delivery and professional development. The 12 interview results indicated that the six samples' research competencies were improved in these four aspects, namely, data collection and analysis, collaboration, reflection and pedagogical content knowledge.

Mentoring and coaching supervision of Lesson Study holds great potential for collaborative professional development and continuous improvement of mathematics teachers' research competencies.

This article suggests meaningful professional benefits of participation in mentoring and coaching supervision.

This study aims to present a high-end lesson study (HELS) model to develop students' subject competency. Data were collected from a Beijing suburban key senior high school in China. How the subject competency framework (SCF) supports HELS and develops students' subject competency in practice are discussed in this study.

This study provides a four-dimensional SCF developed by the chemistry education research team at Beijing Normal University. Basic procedures of the HELS model involve the project plan, students' pre-test, lesson design workshop, first-round teaching implementation and improvement, second-round teaching implementation and evaluation, students' post-test, and results discussion. Data were collected from each of the procedures, and analysis of the data is conducted in both qualitative and quantitative approaches.

The results show that the SCF supports HELS implementation by (1) identifying key teaching objectives based on curriculum standard requirements and students' subject competency performance; (2) organizing teaching content based on the core knowledge to develop cognitive mode; (3) designing tasks and activities regarding understanding–applying–transferring and innovating categories and sub-categories of SCF; (4) establishing students' cognitive perspectives and reasoning paths to promote their subject competency by teacher–student interaction.

The HELS model provides theory-based pedagogical guidance for conducting lesson studies. It presents the SCF and orientation. The SCF is used throughout the entire process of HELS, including the identification of teaching objectives, the selection and organization of teaching content, and the design and implementation of teaching activities. It reflects a systematic instructional design–implementation–discussion–improvement–evaluation process. The SCF-based HELS can be applied to different topics and disciplines.

Teachers in the USA have been conducting lesson study for more than ten years since it was introduced from Japan in the late 1990s. Although interest in conducting lesson study in the USA is still strong and greater numbers of teachers have become involved in this professional learning, there are significant obstacles to conducting high quality and effective lesson study that enhances teachers’ content and pedagogical knowledge, as well as improving their instruction and student learning in classrooms. Because of the needs of improvement in lesson study in the USA, so it can be administered effectively and sustained, the purpose of this paper is to discuss the current status of lesson study in the USA, what high quality and effective lesson study is, and what ideas might be help to improve lesson study in the USA.

In this paper, issues that are common barriers to conducting effective lesson study, such as: US teachers’ misunderstanding or lack of understanding of lesson study; teachers’ insufficient knowledge of content, pedagogical content, curriculum knowledge; lack of support from administrators for lesson study; non‐systematic approach to implement lesson study; and having short‐sighted vision to conduct lesson study will be discussed. The discussions are based on the author's 12 years of experience working with teachers, schools, and school districts in the USA, interactions and information exchanges with other lesson study educators and researchers and professional development coordinators in schools and districts in the USA, and existing research documents in the USA. Through this discussion, the author attempts to provide suggestions for improving lesson study in the USA.

In order for lesson study to be successful, teachers need to think of lesson study as a way to improve their own learning as well as student learning. Spending more time studying mathematical content and curriculum, developing a strong pedagogical content knowledge with colleagues, and establishing a professional community of learning through lesson study will help it to be effective for improving classroom teaching and learning.

The paper provides some helpful suggestions for improving quality and effectiveness of lesson study in order to improve: classroom teaching – teacher's content, pedagogical content and curriculum knowledge; and student learning. The paper is particularly valuable for lesson study practitioners, and administrators and staff developers who are implementing lesson study in schools.