Fractals describe many natural phenomena; their strong visual-figurative nature found its mathematical conceptualization in the concept of self-similarity. In the current study, we investigate how students construct (fully or partially) the self-similarity concept while recursively constructing the Sierpinski triangle, working in small group and…

In the course of the last few years, we have investigated shifts of knowledge among different settings in inquiry-based mathematics classrooms: the individual, the small group and the whole class community. The different theoretical perspectives we used for analysing group work and for analysing whole class discussions, and the empirical data, led…

In this report we further develop the notion of knowledge agent and analyse knowledge agency in an 8th grade mathematics classroom learning probability. By knowledge agency we mean the many ways and variations in which knowledge agents act. We also observe the teacher as an orchestrator of the learning process who as such invests efforts to create…