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The aim of this study is to investigate achievement profiles in mathematics when integers are taught in a learning study in grade three (to children 8–9 years old) and to explore to what extent students with such profiles participate in inclusive teaching and learning practices.

Data from a previous learning study are re-analysed, supported by a framework that enables the investigation of inclusive practices. In the present study, inclusion and achievement are viewed as interrelated, meaning that student achievement must be incorporated in the definition of inclusion. The analysis is based on documentation of a video-recorded lesson and on identical tests conducted before and after the lesson.

The general framing of the learning study indicates an inclusive practice, while pre- and post-test achievement together with data from the lesson reveal a mixed picture concerning student achievement and inclusion. The analysis of the pre- and post-test results for the 16 students in the class indicates considerable diversity in student achievement, resulting in four achievement profiles. The main conclusion is that some students gained from participating in the learning study lesson while others did not. The extensive analysis of four students' participation, one for each profile, shows that differences in student achievement are related to the extent to which students participate in inclusive teaching and learning practices.

While previous research on learning studies has mainly considered average student achievement, this study focuses on individual variation in achievement and the reasons for it, a matter largely neglected in previous learning study research.

The purpose of this paper is to present a model for supporting and increasing teachers’ reflection process.

The model is grounded in two concepts from variation theory: critical aspects and dimensions of variation. Those concepts are related to the concepts of reflection in-, on- and for-action. Analysis of data allows for determination of what kind of reflection is used in teachers’ professional development (PD) and the teachers’ perceptions of the relevance and usefulness of the PD.

The results show that, using the concepts of critical aspects and dimensions of variation, teachers practiced reflection in-, on- and for-action in a non-dualistic way.

The preliminary results confirm that the teachers change their behaviours, through reflection processes, if they have the opportunity to focus on the object of learning and to use research results found in mathematics education in order to open up dimensions of variation in the identified critical aspects.

The design of algebra modules, according to concepts from variation theory and the reflection process, is the main result of this study. The model used in creating the modules has the potential for supporting and increasing teachers’ reflection process.

A conceptual model of work practice evolution is proposed. The model is conceived as an intermediary between models of reflection, action at work and models of organisational teaching in the classroom. It considers work practices as evolving through confrontations between critical aspects, action in context, reflections in-, on- and for-action. The author advocate that the use of the presented methodology is not only inevitable but also vital to improve teachers’ PD.