Michelle Cirillo

This project will develop an intervention to support the teaching and learning of proof in the context of geometry. This study takes as its premise that if we introduce proof, by first teaching students particular sub-goals of proof, such as how to draw a conclusion from a given statement and a definition, then students will be more successful with constructing proofs on their own.

This project is developing, designing, and testing materials for professional development leaders (e.g., teacher educators, district mathematics specialists, secondary mathematic department chairs) to use in their work with secondary mathematics teachers. The aim is to help those teachers analyze the discourse patterns of their own classrooms and improve their skills in creating discourse patterns that emphasize high-level mathematical explanation, justification, and argumentation.

This project aims to support teachers to engage their students in mathematical problem posing (problem-posing-based learning, or P-PBL). P-PBL is a powerful approach to the teaching and learning of mathematics, and provides students with opportunities to engage in authentic mathematical practices.