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PurposeThis 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.Design/methodology/approachAn 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.FindingsTeachers' 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.Research limitations/implicationsTheoretically, 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.Originality/valueBoth 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.

In this study, we examined 10 expert and 10 novice teachers' noticing of classroom events in China. It was found that both expert and novice teachers, who were selected from two cities in China, highly attended to developing students' mathematics knowledge coherently and developing students' mathematical thinking and ability; they also paid attention to students' self‐exploratory learning, students' participation, and teachers' instructional skills. Furthermore, compared with novice teachers, expert teachers paid greater attention to developing mathematical and high‐order thinking, and developing mathematics knowledge coherently, but paid less attention to teachers' guidance. Moreover, we further illustrated the qualitative differences and similarities in their noticing of classroom events. Finally, we discussed the findings and relevant implications.

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Purpose 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. Design/methodology/approach 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. Findings 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. Originality/value 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.