This article provides firm evidence, for formal and informal educators alike, that shared learning can be powerful and meaningful, if carefully considered. Findings from a study conducted in a summer middle school mathematics class suggest that when students are able to ask legitimate, authentic questions and share understanding about a common problem, their learning becomes truly “distributed by design.”
Many ISE educators design opportunities for children to collaborate in learning activities. This study's findings show that, when collaborations are designed to let children take responsibility for each other's understanding, the development of positive dispositions toward mathematics increases.
There is growing understanding that learning develops across time and settings. This paper describes a particular case in which a fourth grade boy’s mathematics learning is shaped by experiences both at home and at school. It is relevant to researchers seeking to understand and study learning as a cross-setting phenomenon. It is relevant to ISE educators in that it raises questions about how to coordinate experiences between home and other settings.
This article reports the results of a design research experiment in professional development for teachers of middle school mathematics. The authors report on how they developed their programs to account for three underlying conceptual challenges to their efforts: (1) the institutional contexts that teachers worked in, (2) the ways in which the learning developed in and through the community of practice, and (3) the relationship between teachers' learning in the program and teachers' teaching in their classrooms. Especially because of the different institutional cultures found in ISE versus
This article discusses the design and conditions of high school mathematics activities that aim to distribute opportunities to learn to all students. Of particular interest to ISE educators is the analysis of how some ostensibly equitable group activities may shut down equal participation. Also of interest is the theoretical discussion of the relationship between opportunities to productively participate in mathematical activities and the development of positive mathematical learning identities.