Generalization is a critical component of mathematical reasoning, with researchers recommending that it be central to education at all grade levels. However, research on students' generalizing reveals pervasive difficulties in creating and expressing general statements, which underscores the need to better understand the processes that can support…

In this paper, we present data from two iterative teaching experiments involving students' constructions of four basic counting problems. The teaching experiments were designed to leverage the generalizing activities of relating and extending to provide students with opportunities to reflect on initial combinatorial activity when constructing…

Developing a sound ability of noticing is a crucial competency for both teachers and medical professionals in the respective professional and disciplinary communities. In this article, we investigate noticing in practice--how members of a professional community in the high-tech modern medicine specialty of Advanced Heart Failure use this ability…

In this article, we provide a novel view of mathematics learning disability (MLD) by studying a student with an MLD (Dylan) who had compensated so effectively that she was able to major in statistics. We push back on the dominant deficit model used in studies of MLD, and consider issues of access and compensation from a Vygotskian theoretical…

Increasingly, multi-representational educational technologies are being deployed in science classrooms to support science learning and the development of representational competence. Several studies have indicated that students experience significant challenges working with these multi-representational displays and prefer to use only one…

In this article, I propose that at the juncture of disciplines, the mind is involved in at least 3 cognitive activities: overcoming internal monologism or monodisciplinarity, attaining provisional integration, and questioning the integration as necessarily partial. This claim is supported by interview data I collected primarily from faculty…