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The aim of this paper is to explore the rationale and findings of the implementation of a Chinese lesson study (CLS)-informed model of mathematics teacher education in Italian schools. The study focuses on the modifications and invariance when introducing CLS in a different culture.

In a previous work (Bartolini Bussi et al., 2017), the authors focused on a single case of activity inspired by the CLS in Italy, and identified some conflicts emerging between the cultures of teaching in China and Italy and explored the way to overcome the conflicts. In the following years, the authors implemented lesson study (LS) experimentations with dozens of in-service primary school teachers and pre-service teachers who were gradually introduced to the model of CLS. The tensions/constraints occurred prominently when extending the experiments with many dozens of other in-service teachers and pre-service teachers.

The authors highlighted how the process of deconstruction allowed the participants in the study to either appropriate or reject some features of the CLS, linking this process to the cultural differences.

The authors believe and argue that LS, and CLS in particular, must be modified in the transfer from one culture to another, considering the cultural beliefs of the involved teachers.

The authors claim that the features of CLS compels the Western researchers to adopt local and culturally determined choices and to be aware of the rationale of these choices.

The aim of this paper is to describe teachers’ professional development in Lesson Study (LS) as processes situated in Semiosphere and generated by the unevenness due to different cultural traditions. The authors characterise teachers’ professional development in two LS experiments as processes generating new knowledge to point out their products, i.e. new professional frame teachers produce after these experiments. The authors use Hybridization, a particular form of Networking of Theories (NWT).

The authors collected video-registration of several Italian LS meetings. The authors analyse two LSs, where time emerged as a conflictual aspect. Through Hybridization components, the authors show how teachers make sense of LS and how teachers revise their professional frame.

In NWT different theories are deployed to study the same problem. To grasp the issue of unevenness in our LS, we use Hybridization of a Theory, a form of NWT characterised by a structural asymmetry. It is given when a construct c is introduced coherently, operatively and productively into a theory T, obtaining a hybridized theory T'.

Hybridization lens allows to describe potentialities and limits of LS as a tool for teachers’ development. The two analysed LS are different: in one of them Hybridization process produced a new theory T', whilst in the second one it was limited to the awareness of a gap between LS and initial teachers’ professional frame.

Identifying links between different Hybridization components is a helpful tool for teacher educators/researchers to foster the shift from one another. For instance, through this tool, teacher educators could keep track of what happens in successive LS and mirror the dialogue between teachers, moving towards group-shared metareflections. This initiates the advancement of a new theory T', where asymmetries are interpreted.

In this approach teachers are protagonists of the construction of a new professional frame. LS is a tool for teachers’ professional development, allowing teachers to question their own educational intentionalities. Hybridization components provide a tool to analyse such a process.

The purpose of this paper is to explore the early implementation of a model of mathematics teacher development in Italian schools, inspired by Chinese lesson study (CLS), focusing on similarities and differences.

A research lesson study on fractions in the fourth grade was conducted. The approach was designed based on the theory of semiotic mediation (TSM) enriched by means of quaternary analysis and the variation pedagogy of CLS. In this study, qualitative methods were employed involving the collection of data including lesson plans, observations and post-lesson analyses.

The purpose of this study is to determine what works and what does not work in the Italian context. Answers to the following research questions are provided: How did LS incorporate quaternary analysis and variation pedagogy in the TSM? How and why were changes introduced in the structure of the lesson plan with respect to the CLS? How did members of the Italian Mathematics Teaching Research Group increase their knowledge of teaching methods and content?

The issues to be considered in further studies include the possible conflicts emerging between the cultures of teaching in China and Italy and the way to overcome them.

The main ideas of CLS are consistent with the general indications of the Italian Ministry of Education for the three-year program (2016-2019) of mandatory teacher development.

Reporting the findings of an Italian LS is aimed at exploring the differences and similarities among the different forms of LS, under the influence of cultural and institutional constraints.