To each and every class I teach, I bring decades of instructional experience and a deep knowledge of research on mathematics education.  I seek to leverage cognitive psychology to understand student thinking in mathematics and using those understandings to inform and enhance my courses.   Accordingly, my courses heavily use evidenced-based practices such as active learning, collaborative learning, and inquiry-based learning.  

My courses are hard work, but students walk away with deep and productive understandings of the content of the course and of mathematical thinking.

I have authored several curricula for teaching linear algebra and geometry.  These materials are designed for teaching - leveraging active learning, quantitative reasoning, and helping students move from concrete, embodied to formal understandings.  In addition to textbooks, students are enrolled in my installation of iMathAS called MathME - an online homework system that includes hundreds of personally written questions that support students in multirepresentational reasoning.