**Title: Connections Across Contexts in Advanced Mathematics Classes**

**Abstract**: Research in undergraduate mathematics education often focuses on the experiences of individuals, as captured by interviews, and on examinations of instructional practice, through both interviews and observations. In this talk, I highlight work on four topics related to instructional practice: ways to analyze/examine instruction, connections between beliefs and instruction, homework as part of instructional practice, and considering instruction from a content perspective. While most of this work is grounded in abstract algebra classrooms, applications to a variety of mathematics courses will be encouraged and considered.

**Zoom link: **https://uky.zoom.us/my/bradley.elliott