Flipped-learning in middle schools.
From Spring 2017 to Spring 2018, I advised Danielle Wood
, an undergraduate at the University of South Carolina, on a project focused on implementing flipped-classroom instruction in middle schools
. She was awarded a Magellan Explorer grant
for this project. Our first goal was to create and maintain a website with information and data about flipped learning together with resources and tools that can be utilized by middle-school educators to quickly and easily implement this alternative approach to instruction. Our long-term goal is to begin implementing this instructional method in Richland County schools and measure its effect on students, especially in regards to their perception of mathematical thinking as a practical life skill. Danielle presented her work at Discover USC 2018, a showcase for scholarship, leadership, and creative projects by University of South Carolina undergraduates, postdoctoral scholars, and medical scholars
. She received an Honorable Mention for her efforts.
Abstract algebra and music.
During Fall 2018, I ran a reading course on abstract algebra and applications to music for Danielle Wood. We covered the basics of group theory including modular arithmetic, cyclic groups, dihedral and symmetric groups, subgroups, group actions, and a bit on quotient groups. She then used this background to study the ways in which dihedral groups act on the set of major and minor triads, following the article "Musical actions of dihedral groups"
by Alissa Crans, Thomas M. Fiore, and Ramon Satyendra.