Relationships among prospective secondary mathematics teachers’ skills of attending, interpreting and responding to students’ understanding

This study explores relationships among prospective secondary teachers’ skills of attending to relevant mathematics elements in students’ answers, interpreting students’ mathematical understanding, and proposing instructional actions. Thirty prospective secondary mathematics teachers analyzed three high school students’ answers to three problems of derivatives of a function at a given point and proposed instructional actions to help them progress in their understanding. Findings indicate that the more prospective teachers identified links between the mathematical elements and characteristics of students’ understanding, the more suitable the instructional activities were. Furthermore, our results suggest practical implications for teacher education programs since the type of task presented in this research may help to foster prospective secondary teachers’ noticing of students mathematical understanding.