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This study explores teacher educators' (TEs') activity as they support mathematics and science teacher collaboration in co-designing and jointly implementing tasks. We view TEs' activity through the lens of Activity Theory and expansive learning and draw evidence from data generated within the mascil project that linked mathematics and science teaching with workplace situations through inquiry-based teaching. We focus on five TEs' actions and goals, use data from their professional development sessions with teachers and from the TEs' interactions during their own meetings, and highlight the illuminating case of one teacher educator. We trace evidence indicating paths of actions followed by each Teacher Educator and look for indications of their professional learning. Our analysis reveals generic and content-focused actions. All TEs faced different kinds of contradictions and had difficulties handling them. In terms of professional learning, all TEs adapted their prior teacher education practices and appreciated the critical role of epistemological differences between the two disciplines.

In this paper, we studied the transferring process of five apprentice engineering students concerning the place value concept in a telecommunication workplace setting. In this setting, a physical material, a telecommunication closet (TC), appearing as a concrete representation of the ten-numeration system, supported the process of generating composite units in a sequential way. The data were generated by conducting an interview with each student based on two tasks. In the first task, students were asked to locate the place of a particular wire pair on the telecommunication closet representation (TC representation). In the second task, students were asked to determine the range of values that generate this composite unit. Our theoretical and analytical framework is guided by the three levels of students' generalization activity by Radford () and the work on developmental transfer by Engeström (). By identifying shifts in the students' activity (from factual to contextual and from contextual to symbolic), we recognized three transferring cases: the immediate transfer case, the developmental transfer case, and the nondevelopmental transfer case. By comparing and contrasting the different cases, we identified four factors that seem to facilitate or constrain the transfer development. These are the use of metaphors, the development of problem solving strategies, the context dependency, and the students' motivation. In conclusion, we discuss the educational implications of our findings. [ABSTRACT FROM AUTHOR]