Pedagogical content knowledge (PCK) has framed teacher education for decades, despite the difficulty of demonstrating that teacher preparation effectively develops PCK. Social studies educators have been especially wary of PCK, but their critiques have primarily challenged what knowledge is valued rather than its model of how teachers learn. This…

If students are to pursue the mathematical strategies they devise, teachers must be able to notice these strategies in-the-moment, attending to what a student did and interpreting what they understand. Otherwise, teachers might urge students to pursue a different approach. Novice teachers may find it particularly challenging to notice strategies…