This project conducts research on knowledge that contributes to successful coaching in two domains: coaching knowledge and mathematics content knowledge. The influence of these knowledge domains on both coaches and teachers is being examined in two ways: (1) by investigating correlations between assessments of coach and teacher knowledge and practice in each domain and (2) by investigating causal effects of targeted professional development for coaches.
This project tests and refines a hypothetical learning trajectory and corresponding assessments, based on the collective work of 50 years of research in mathematics education and psychology, for improving students' ability to reason, prove, and argue mathematically in the context of algebra. The study produces an evidence-based learning trajectory and appropriate instruments for assessing it.
This project builds on a prior study that demonstrated increases in students' knowledge of argumentation and their performance on mathematics assessments. The project will extend the use of the argumentation intervention into all eighth grade content areas, with a specific focus on students' learning of reasoning and proof, and contribute to understanding how students' learning about mathematical practices that can help them learn mathematics better.