The Teaching and Learning of Eigentheory in Linear Algebra and Quantum Mechanics

Abstract: In this presentation, I will share results from two strands of my research program on the teaching and learning of linear algebra in university. For the first strand, I will highlight some of our curriculum design work in the Inquiry-Oriented Linear Algebra (IOLA) Project, focusing on the introductory linear algebra task sequence on diagonalization and eigentheory, with examples of student thinking. For the second strand, I will share results on various ways that quantum mechanics students understand and contrast eigenequations in mathematics and spin eigenequations in quantum mechanics. An overall discussion will highlight that different conceptual interpretations of eigentheory may be more productive in some contextual settings than others, and rich and diverse conceptual understandings can aid students’ learning across disciplines.

Bio from her website (https://www.meganwawro.com/)

Megan Wawro is a Professor in the Mathematics Department at Virginia Tech in Blacksburg, VA. Her main research interests are in undergraduate mathematics education. Prior to moving to Virginia, she earned her PhD in Mathematics and Science Education from University of California San Diego and San Diego State University and a Master’s degree in Mathematics from Miami University. She has also taught university mathematics in Ohio and high school mathematics in both Ohio and Switzerland.