Many students struggle with proof writing. However, struggle is not universally bad: researchers have distinguished between productive and unproductive forms of struggle and have identified productive struggle as essential for learning mathematics. Yet, in practice, recognizing when learners are engaged in productive struggle or unproductive…

Generalization is a critical component of mathematics learning, but it can be challenging to foster generalization in classroom settings. Teachers need access to better tools and resources to teach for generalization, including an understanding of what tasks and pedagogical moves are most effective. This study identifies the types of instruction,…

Interest-driven activities, such as mathematical play, can support student agency, motivation, and engagement, and can foster dispositions that reflect authentic disciplinary engagement. However, the bulk of research on mathematical play investigates the mathematics that emerges in young children's natural play or in informal spaces such as video…

Students' opportunities to struggle with mathematical ideas have long been considered paramount to learning. However, there's little research on how teachers; (1) draw on and make sense of the discourses of perseverance; (2) enact it in classroom; and (3) develop an expansive view of perseverance. To contribute to these lines of research, we build…

In this paper, we describe teachers' learning of an instructional practice related to launching a cognitively demanding task. Using a multi-case study design, we analyze eight teachers' participation in a rehearsal of the instructional practice in professional development and the ways these teachers enacted this practice in their classroom…

This study examines the impact of Learning and Teaching Linear Functions (LTLF) professional development materials on teachers' mathematics understanding and teaching practices, as well as students' resulting algebra proficiency, learning, and achievement. Learning and Teaching Linear Functions are modular, video-based professional development…