Professional learning strategies often rely on the belief that teaching and learning outcomes are best when teachers have a clear understanding of students' thinking. This may seem like common sense -- after all, students are active participants in the learning process, so their thinking impacts the outcome. But does research support the…

This article continues to challenge the robust myth that mathematical smartness is exemplified in individuals who consistently complete mathematics problems quickly and accurately. In so doing, I present a set of counterstories from three students in one ninth-grade Algebra 1 classroom. These students described transformative experiences in their…