While digital environments can offer convenient, viable options for preservice and inservice teachers to engage in or continue their studies, little is known about teachers’ experiences with and perceptions of various existing online learning spaces. This paper describes an initial investigation using data from a group of preservice and in-service mathematics teachers who interacted by posting their reflections regarding online learning spaces to an asynchronous, electronic discussion board. Inductive qualitative techniques were incorporated to determine which online learning spaces study participants had experienced as well as their perceptions of each. Results are reported in light of possible implications for teacher education, including specific suggestions for additional study of online learning spaces.

In this paper the authors explored the question of collective understanding in online mathematics education settings and presented a brief overview of traditional methods for documenting norms and collective mathematical practices. A method for documenting collective development was proposed that builds on existing methods and frameworks yet is sensitive to the particularities of interaction in an online setting. This study used data from recent projects to further describe and highlight the steps of the proposed method for analyzing collective development in an online setting and to ground discussions of research and practice.