PROCEEDINGS OF THE 23RD ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2020
Boston, Massachusetts
A tour of cognitive transformations of semiotic representations in advanced mathematical thinking
Page: 820
The purpose of this paper is to expand on Duval's (2017) notion of Cognitive Transformations of Semiotic Representations (CTSRs) and search for CTSRs that go beyond treatments and conversions at a school and entry undergraduate level. Examples of CTSRs that illustrate a progression of mathematical thinking through calculus and real-analysis to topology; and examples from representation theory of finite groups that blends abstract algebra and linear algebra will be explored.