How to Respond to Mathematical Difficulties in Instruction and Student Perceptions about Classroom Culture

Students’ difficulties in learning mathematics are often perceived negatively, but experiencing appropriate levels of struggle is essential for deep mathematical understanding. This study examines how three middle school mathematics teachers recognize and respond to students’ mathematical difficulties in class and how their instructional responses relate to students’ perceptions of the classroom culture surrounding mathematical struggle. Drawing on the framework of productive struggle, this mixed-methods study investigates the alignment between teachers’ perceptions and classroom practices and explores how teacher responses to difficulty shape students’ affective and cognitive experiences in mathematics instruction. Data sources include structured teacher interviews, video recordings of selected lessons, and student surveys measuring perceptions of the classroom culture related to mistakes, effort, and anxiety. Findings reveal distinct differences among teachers in their ability to recognize and respond to student difficulties. One teacher demonstrated nuanced and supportive strategies that promoted students’ productive struggle, while the other two offered less effective or insufficient support. Despite all teachers holding reform-oriented beliefs and high levels of mathematical knowledge for teaching, their instructional practices varied considerably in how they sustained or constrained students’ engagement with difficult tasks. Moreover, some teachers’ self-perceptions of their instructional responses did not align with their actual classroom practice. Student survey results showed that the students of the teacher who supported productive struggle most effectively reported significantly more positive perceptions of the classroom culture surrounding mathematical struggle. This finding suggests that how teachers respond to students’ mathematical difficulties plays a pivotal role in shaping students’ affective experiences and classroom norms. Supporting productive struggle requires not only content knowledge and pedagogical skill but also an intentional effort to build a classroom culture where struggle is normalized and valued.