I have dual training in Combinatorics and Mathematics Education. I am using this expertise to conduct research on the teaching and learning of advanced mathematics. In particular, I am quite interested in issues concerning mathematical proof. I hope to add to the body of knowledge on proof in several ways by:
1.\sFurther investigating the strategies used by undergraduate math majors to read and produce proofs.
2.\sClarifying what it means to understand a proof and investigating different dimensions of proof understanding.
3.\sStudying the conditions that aid different dimensions of proof understanding.

In addition, I am working to expand the theoretical framework of DNR-based Instruction (Guershon Harel). In particular, I am examining the implementation of DNR in a professional development institute designed to enrich in-service teachers' understanding of algebra and proof.

Proof comprehension
Proof strategies
Theoretical frameworks in mathematics education
Teacher education

Symmetric function theory and generating functions