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The purpose of this paper is to capitalize on the advantages of an evidence-based lesson analysis while proposing a method of research on teaching that offers opportunities for deeper reflections. The objective is to examine how well a transnational learning project such as this one can determine the cultural script of a mathematics lesson in Malaysia through the perspective of Japanese educators well trained in the lesson study approach. Emphasis here is on a cross-cultural analysis to view in depth the cultural script of teaching mathematics in Malaysia with particular focus on how teachers respond to students’ mistakes in a mathematics lesson.

This paper draws on data collected by the authors in a lesson study in Malaysia that aimed to provide a cross-cultural analysis of a Malaysian mathematics lesson (grade 10) through the eyes of Japanese educators. Data retrieved should determine the cultural script of a mathematics class in Malaysia with an emphasis on Malaysian teachers’ responses to students’ mistakes in class. The cross-cultural analysis of a lesson is a comparative method that reveals the hidden factors at play by increasing awareness of characteristics in classroom situations that are self-evident to all involved members.

The findings are intended to the cultural script of Malaysia in the context of “classroom culture regarding mistakes” and “mistake management behavior.” The impact on the quality of teaching and learning also discussed in relation to how it can be improved in practice from the following perspectives: the teacher’s attitudes toward student mistakes; how mistakes are treated and dealt with in class; and how learning from mistakes is managed. The data in Table II provide a meta-analysis of evidences of “classroom culture regarding mistakes” and “mistake management behavior” of the teacher from the Malaysian researchers and practitioners’ perspective as well as from the lens of the Japanese educators.

This study realizes that both sets of research studies value the importance of mistakes. It is important to identify the source of students’ mistakes and further learn from them. In order to reveal the overall structure of the cultural script of lessons, we need to realize that various cultural scripts are at work in the production of any given lesson. In the future, the authors hope to develop the potential of this view of culture script of teaching through cross-cultural analysis for lesson study and curriculum research and development.

This study aims to capitalize on the advantages of evidence-based lesson analysis through the lesson study process while proposing a method of research on teaching that offers opportunities for deeper reflections. The objective is to examine how well a transnational learning project such as this one can determine the cultural script of a mathematics lesson in Malaysia through the perspective of Japanese educators well trained in the lesson study methodology.

The authors need to obtain reflective feedback based on concrete facts, and for this reason “lesson study,” a pedagogical approach with its origins in Japan, is attracting global attention from around the world. This study focuses on the discrete nature, the progression, significance, and the context of lessons. That is, by avoiding excessive abstraction and generalization, reflection based on concrete facts and dialogue retrieved from class observations can be beneficial in the process. The mutual and transnational learning between teachers that occurs during the lesson study process can foster the building and sharing of knowledge in teaching practice.

There is currently little empirical research addressing “classroom culture regarding mistakes” which mostly represents how teachers and students learn from mistakes in the classroom. This study focuses on a cross-cultural analysis to view in depth the cultural script of teaching mathematics in Malaysia with particular focus on how teachers respond to students’ mistakes in a mathematics lesson. The following perspectives are examined: the teacher’s attitudes toward student mistakes; how mistakes are treated and dealt with in class; and how learning from mistakes is managed.

The purpose of this paper is to reveal the cultural script of the teaching of a lower secondary science lesson on the topic “Classification of Non-living Things” in Singapore through the eyes of Japanese and Singaporean researchers and teachers. In particular, the study analyzes the structural content, i.e. organization of learning activities of a lower secondary science lesson of Singapore and the culture of teaching, i.e. views about teaching held as tacit knowledge of science teachers. It focusses on students’ inquiry skills in a participative and problem-driven science lesson in the Singapore classroom.

This exploratory study adopts a cultural approach of viewing teaching and learning and compares classroom practice in two countries – Japan and Singapore. Contextually, the cultural differences in beliefs and values define how educators learn about what is “good” teaching.

The cultural script of teaching of the science lesson case values the setting of learning tasks that encourage a variety of ideas. It also sets a tone of inquiry-based learning where students are open to questioning, the formulation of ideas and the presentation of solutions. In the science lesson case, the teacher aimed at providing opportunities for students to think for themselves and to engage in group discussion. This study identifies key aspects of the science lesson for revealing the teaching script based on a cross-cultural lesson analysis. Figure 1 summarizes such facets of teacher teaching and student learning in detail as a result of the lesson analysis. Furthermore, it draws attention to recognizing areas of the lesson script which the Japanese team found effective/ineffective as well as identifying the Singaporean team's reflections on feedback from Japanese educators.

Through this study, the research team raises the following questions. Are there common practices that make for effective learning and if so what are these? From the perspectives of Japanese and Singaporean researchers and educators, what might be the different elements of teaching that will bring about better student learning?

An important avenue for inquiry in teaching is how to create teaching-learning processes that nurture students’ ability to deal with the unexpected as well as their application skills – competencies that are required of students to function in the twenty-first century. The research team suggests a cross-cultural analysis approach for future research investigating the cultural script of teaching.

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.

This study attempts to provide cross-cultural learning by focusing on a very important aspect of research, the study of teaching materials, known as Kyouzai Kenkyuu in Japan. The purpose of this paper is to investigate teachers’ views and awareness about the study of teaching materials, in particular, the views and awareness of Iranian teachers, who are beginning to understand their teaching practice and professional development through lesson study.

Qualitative research methods were employed for data collection. These methods included comparative analysis of an Iranian mathematics lesson from the perspective of Japanese educators and semi-structured interviews with all participants of the lesson analysis meetings.

The findings are intended to position Kyouzai Kenkyuu as an important aspect of Japanese lesson study and to make explicit the beliefs and values that underpin and shape pedagogical reasoning that support researchers and practitioners to improve the quality of teaching through lesson study. This was achieved through post-lesson discussion meetings, and the beliefs and values were those the participants were largely unaware of but could be clarified through a cross-cultural comparison. For instance, Japanese teachers focus more on learners and the study of teaching materials for raising the quality of teaching, whereas Iranian teachers focus more on the content of teaching and teacher behavior.

This study delivers a transnational learning opportunity for teachers and researchers to learn how to provide evidence-based analysis of a lesson to raise the quality of teaching. However, as this is a case study and focuses specifically on Kyouzai Kenkyuu, it opens up the possibility for comparative analysis of more sample lessons and other aspects of Japanese lesson study.

It may be interesting for teachers and researchers to see how such a study could help them revise their quality of teaching through lesson study and construct shared knowledge about how to teach and to clarify “the pedagogical theories” that underpin such knowledge building.

The value of this study is in its ability to reveal to educators their own unconscious teaching script and knowledge and “the pedagogical theories” that underpin such knowledge. It provides an opportunity for evidence-based critiques of our own teaching script, theory, view and values that we accept culturally, share tacitly and may not even be aware of in the construction process.

This study combines careful measurement with an “insider’s perspective” from Iran and an “outsider’s perspective” from Japan of differing educational concepts within the same subject area. The objective is to provide a deeper understanding of the real world of lesson study and how it can help educators to construct shared knowledge about how to teach in practice and to support teachers to revise the cultural context of teaching.

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 purpose of this paper is to examine a seventh grade mathematics lesson in Iran and Japan through a comparative analysis for illuminating what actually goes on in the classroom in different cultural contexts. Emphasis is here placed on Iranian oral and Japanese literal teaching traditions.

Qualitative research methods were employed for data collection, including cross-cultural lesson analysis meetings in Iran and Japan and semi-structured interviews with the participants of the meetings. In doing this, the study plans to make apparent the structure of meaning hidden in lesson practice – a so-called cultural script of teaching – by comparing this practice in cultural context, through the eyes of educators from different socio-cultural perspectives.

The findings are intended to clarify the mathematical communication approach used in Iran and Japan. Mathematical communication proceeds through speaking rather than writing in Iran, discussing before summarizing and taking notes (speaking/listening), while in Japan, it proceeds through writing before telling and speaking (writing/reading).

This study delivers a transnational learning opportunity for educators to learn how to provide evidence-based analysis of a lesson for professional learning to raise the quality of teaching. However, as this is a case study, it opens up the possibility for comparative lesson analysis of more sample lessons, and how active learning and dialogic teaching can be designed in different educational contexts. In addition, it may be interesting for educators to see how this comparative lesson analysis helps practitioners to revise their teaching. These are very important research questions which the researcher hopes to cover in his next manuscript.

Comparative lesson analysis has the potential to expand more “research in practice” for designing mathematics lessons from the perspective of the students – so-called “customized teaching.” In addition, how the silent process of each individual student in the lesson has impacted on their learning and understanding – so-called “personalized learning” – is one of the issues arising from the case studies.

The value of comparative lesson analysis as a lens is in its ability to reveal to educators their own unconscious teaching script. It provides an opportunity for evidence-based critiques of our own teaching traditions that we accept culturally, share tacitly and may not even be aware of in the construction process.

This study combines careful measurement with “insider” and “outsider” perspectives to provide a deeper understanding of the real world of the classroom and the cultural context of teaching.

The purpose of this paper is to suggest ways that we can widen our vision since our views are limited by our theoretical lens.

The paper first draws on articles in the current issue to illustrate how limitations imposed by our theoretical lens can be partly overcome. It then draws on the insights from two recent papers by Svensson (2016) and Lo and Chik (2016) to discuss some ways forward. Svensson’s paper argues for integrating research on teaching and learning using case-based studies and the contextual analysis approach. Lo and Chik’s paper is about how our learning can go beyond the single case through attending to fusion in the external horizon. The conceptual lens from these two papers which are from the phenomenography, variation theory and learning study tradition is applied to look at some of the papers in this issue which are from the lesson study tradition.

Although there is an inherent limitation to what we can see as a consequence of the theoretical lens that we take, we can widen our vision by learning to see from others’ perspectives and gain insights that would be useful to us.

The conceptual lenses from the phenomenography, variation theory and learning study tradition is applied to look at some of the papers which are from the lesson study tradition to reveal alternative ways of seeing.

While Lesson Studies are usually defined as “teacher-led” collaborative research for the purpose of improving teaching, one Japanese junior high school has conducted “student-led” Lesson Studies (SLS) for the past 20 years. The purpose of this paper is to clarify how this school involves students in the Lesson Study process to identify the importance of learners’ perspectives and create the best learning environment.

Using the case study method, the researcher observed the lesson study process, research lessons and pre-lesson and post-lesson discussions with teachers and students at the case school, as well as examining the school’s annual reports. One-on-one interviews were held with the principal and teachers at the case school. A group interview was conducted with 18 students (8th grade), and additional interviews were held with four students and a Homeroom Teacher. All interviews were recorded and analyzed based on self-regulated learning theory.

In SLS, students observe the learning activities in other classes and compare them with their own learning activities. Thus, they come to view their in-class learning process in a metacognitive way and can collaborate with teachers to reflect on their learning process and to create a more effective learning environment.

While previous studies on Lesson Study have consisted of artificial/experimental one-time practices involving acute researcher-led interventions, this paper uniquely investigates genuine, daily practices that teachers and students developed on their own. This research is of considerable interest as it goes beyond traditional studies in Japan.

This study aimed to explore how a group of Chinese primary mathematics teachers learned through conducting an online cross-cultural lesson study between China and Australia.

An expansive learning theory was adopted to examine teachers' learning through collective activities across different activity systems. Multiple data sets including videos of research lessons, debriefings and audios of interviews were collected. From the expansive learning perspective, based on a fine-grained qualitative data analysis, various contradictions (as driving forces of learning) were identified and the ways of resolving the contradictions (as enactment of learning) were located to feature teacher learning throughout the online lesson study process.

Teachers' expansive learning includes enhancing teachers' MKT and Mathematics TPACK, developing instructional design skills and capabilities in addressing challenges occurring in the virtual environment were identified.

Theoretically, the study illustrated how expansive learning theory could be utilized to examine teacher collaborative learning in the online cross-cultural lesson study. Practically, this study showed that reiterative cycles and experts' facilitation are crucial to expansive learning for linking research to classroom practice. However, this study did not focus on student learning in the virtual environment. Australian teachers' reciprocal learning through the online lesson study also requires further exploration.

Both online lesson study and cross-cultural collaboration are innovative. The expansive learning lens are creatively used to examine the complexity of teacher learning in such a novel environment.