PROCEEDINGS OF THE 23RD ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2020
Boston, Massachusetts
“What happened to the vector?” Felix’s emerging conception of translations
Page: 547
Felix initially used a metaphor in considering translations between algebraic representations of systems during an individual clinical interview. I investigated the mathematical underpinnings for his metaphor by asking him to perform translations in the vector space register. That investigation precipitated a discussion where Felix developed mathematical understanding for a translation between the vector space register and the linear systems register. My analysis is based on the Theory of Quantitative Systems which I developed as a result of my study of Duval’s Theory of Semiotic Representation Registers (1999, 2006, 2017).