This study considered a preservice teacher's (PST's) attention to multilingual learner core practices within her approximations of practice of mathematics language routines during a secondary mathematics methods course. We used a framework of approximations of practice to understand how a PST enacted and developed an understanding of multilingual…

Mathematical writing is one way for primary students to communicate their mathematical thinking. Research in the field of writing has shown that to become an effective teacher of writing, preservice teachers must have experience engaging in the kinds of writing given to their students. The study reported in this paper explored how 27 preservice…

Gestures have been shown to play a key role in mathematical reasoning and to be an indicator that mathematical understanding is "embodied" -- inherently linked to action, perception, and the physical body. As learners collaborate and engage in mathematical discussions, they use discourse practices like explaining, refuting, and building…

Visual thinking routines are principles based on several Western theories, approaches, and strategies. Such routines, which are usually used again and again in the classroom, promote thinking skills, call for collaboration and sharing of ideas, make thinking and learning visible, and above all, promote student engagement. Visual thinking routines…

This paper describes the long-term re-development of an introductory graduate research methods course. The initial design is presented, followed by the two re-design phases. Phase 2 introduced additional inquiry-based strategies such as concept mapping and multiple levels of peer collaboration. Phase 3 incorporated competency-based techniques as…